Bahnsen cites this essay in a footnote to his Van Til’s Apologetic:
Readings and Analysis (Phillipsburg, PA: Presbyterian and Reformed
Publishing Company, 1998): “The . . . unwarranted notion that truths
which are necessarily so must reduce simply to matters of logic and
semantics is criticized—and the bearing of its refutation upon
apologetics is discussed—in my unpublished essay ‘Revisionary
Immunity.’” 79 n. 98.
Text has been taken from
Covenant Media website,
which assigns it a date of 1975, which means that Bahnsen was not more
than 27 years old when he wrote it. Like Van Til’s Apologetic,
this essay saw the light of day posthumously. I have taken the liberty
of numbering the sections and listing them before the first section.
Section 4 is much longer than any of the others. The reader might wish
to read Section 6 ahead of the first five. From that last section I
highlight these sentences:
In the final analysis it turns out that every-one treats some statements
as “analytic.” That is, certain truths are thought of as carrying their
evidence inherently and are granted epistemological primacy or
revisionary immunity. These presupposi-tional truths control our
concept of evidence and verification . . . . They even govern what we
deem to be possible . . . . Any reasoning or evidence which is adduced
in order to refute these presuppositions is itself called into question;
revisions will be made anywhere else in one’s system of thought before
he will relinquish his entrenched beliefs. To treat a statement as
“analytic” means that it has ultimate authority in one’s thinking and
governs his overall per-spective. To treat the statement as a
presupposition is not to make it uninfor-mative or meaningless. . . .
The statements which a person treats as “analytic,” or presupposes,
reveal his basic life com-mitments. Because everyone has these basic
beliefs, and because of the function such presuppositions have in one’s
system of thought, apologetics will ultimately be-come a matter of
argumentation at this fundamental level.
Anthony Flood
December 29, 2012
Revisionary Immunity
Greg Bahnsen
1.
Truth Insulated from the World of Contingency and Uncertainty
2.
A Popular Philosophical Prejudice and its Consequences
3.
Implications for Apologetics
4.
The Challenge and Prerequisites of a Satisfactory Answer
5.
Conclusion and Consequences
6.
Analyticity and Apologetics
1.
Truth Insulated from the World of Contingency and Uncertainty
For those who are concerned to gain knowledge of the truth about the
world, it has often been a depressing fact that we are so prone to
error. There are problems with perception, not the least of which
include those of illusion and perspectival variation; further there are
problems with generali-zations which arise from the irremedial
incom-pleteness of induction, the continual change and alternation of
the world, and confidence-shaking differences of opinion. Experience of
the sensible, physical, extramental world betrays our trust in both
theory and practice and thus generates no firm conviction that what we
report based on its credentials must be true. We just cannot be
absolutely sure when even our best efforts are not immune from revision
or repudiation.
Understandably, then, philosophers have sought true statements which
could not be otherwise—statements which are unconditionally and
universally true, which must be true, which cannot fail.
Archimedes wished for a place to stand, a firm point from which he
could move the world. Likewise, epistemologists have explored
everywhere for truths of which they could be certain; since these
statements, unlike the contingent character of the world as well as our
experience of it, would be in some sense necessary, they would be truths
immune from revision. However, when philosophers finally settled on
such truths it was (they thought) at the expense of the world-moving
significance which Archimedes desired. Informative power was sacrificed
for certainty, the reason for this seems to be that, according to a
reigning tradition in philosophy, statements which must be true
are statements which do not depend upon empirical argumentation for
their justification. Being cut off from any required contact
with experience, such truths cannot be informative about the extramental
world which is known through one’s experience of it.
Traditionally, three classes of truths have been taken as insulated from
the world’s a priori truth, necessary truth, and
analytic truth. A priori truth is set in contrast to a
posteriori truth, a distinction indicating different ways of knowing
true statements. A statement is knowable a priori when its
truth, given an understanding of the terms involved, is ascertainable by
a procedure which makes no reference to experience; being nonempirical,
an a priori statement can be justified independently of
experience. By contrast, an a posteriori truth is derived from
experience; its terms cannot be fully understood and applied, nor can
its validation be accomplished, apart from experience. A statement is
knowable a posteriori when it is true, can be known, and has no
nonempirical procedure of justification. Hence a posteriori
truths are empirical and inductive in character, and as such (we are
told) can only be known as probably true. To illustrate the contrast
sketched here: “All vixens are female” is knowable a priori,
whereas “All vixens kill chickens” is, if true, knowable a posteriori.
The latter can be justified only by information acquired through
experience (beyond that needed for an understanding of the statement),
but this is not so for the former.
According to the commonly endorsed outlook we are now examining, a
posteriori truths must be contingent, for how could experience
(which is limited, and the particular content of which we just
happen to have) tell us something which strictly must be so?
However, although contingent, the a posteriori truths are
compensatingly synthetic; they extend our significant information about
the world. The virtue of a priori truths, it is said, is that
their veracity is ascertainable by examination of the statements alone;
an a priori truth provides its own verification and thus is true
in itself. Because a priori truths would be true in all possible
worlds, they are (unlike a posteriori contingencies) necessary in
some sense. However, according to standard doctrine, this virtue has the
following drawback: a priori truths do not express matters of
fact (since factual matters could have been otherwise than we find them
in our experience) but merely relation of ideas. Accordingly, a
priori truths are not synthetic, for if a statement gives genuine
information about the world, how can one know that it is true
except by observation of the world? If one does not have to
resort to some specific experience of the world to validate a
statement—if he can know a priori that it always holds true and
hence is necessary—that statement must be analytic.
We turn, then, from the a priori distinction to a consideration
of necessity and analyticity. A necessary truth, as opposed to
contingent truth, is one which could not be otherwise; if a statement is
necessarily true, its negation cannot be true (i.e., where “S” is a
necessary truth, “It is possible that not-S” cannot possibly be true).
Necessity is an older and more intuitive notion than analyticity, the
latter being a technical philosophical notion introduced to account for
necessity. Historically, necessity has been seen as carrying
significant metaphysical baggage. Necessary truths have been accounted
for in terms of essence (Aristotle), God’s existence and nature (the
medievals), concepts (Leibniz among others), etc. However, the
perspective which has emerged dominant in the history of modern
philosophy, a perspective popularized at least from the time of Hobbes,
is that necessity should be accounted for in terms of language
(or a set of concepts somehow underlying it). Here the seed was sown
which would be reaped in the twentieth century when linguistic analysis
came forth as the determined opponent of metaphysics. From the new
linguistic slant, a statement which could not be false was one whose
truth followed from the meanings of the constituent words. Accordingly,
if the meanings of the words changed, what the words express (or what we
are talking about) would also change. This linguistic account of
necessity brings us to analyticity.
The view that there is a sharp distinction to be drawn between truths
which are analytic and truths which are synthetic is the modern
counterpart to the ancient distinction between essential and accidental
predication. For Aristotle a necessary truth is one which is
essentially true—that is, a statement expressing the essence of an
object or a principle common to all science (e.g., “All men are rational
animals”; the law of excluded middle in logic). With the rejection of
Aristotle’s scheme of essences came the elimination of necessary truths
about the extramental world; the essences were replaced with ideas or
concepts, and necessity was restricted to their interrelations. Thus
factual statements about the world, standing in opposition to necessary
truths, had to be identified with contingent truths henceforth. The
shift from essences to concepts is quite evident in the early modern
period of philosophy, especially in Leibniz’s distinction between truths
of reason and truths of fact, and Hume’s distinction between relations
of ideas and matters of fact. In contrast to factual truths about the
world, necessary truths (of reason, or of ideal relations) are such that
their denials involve a self contradiction.
So then, necessary truths depend on the principle of contradiction. By
means of definitions of the constituent terms, necessary truths
can be reduced to the law of identity (e.g., “All vixen are female”
becomes an identical proposition when “female fox” definitionally
replaces “vixen”—thus, “All female foxes are female”). This appeal to
definitions (or meanings) has drawn the comment of one modern logician,
Willard Van Orman Quine, that meaning is what essence becomes when it is
divorced from the object of reference (e.g., the living, breathing vixen
in the world) and wedded to the word (e.g., “vixen”). This criterion
for isolating necessary truths (a criterion which, in critic passing
[sic],
has competitors, and which must in turn account for the necessity of the
logical laws on which it depends) precludes any synthetic truth
from qualifying as necessarily true, for the denial of a statement of
empirical fact involves no con-tradiction. Consequently, the modern
view of necessity restricts it to non-synthetic, that is,
analytic statements (those which express relations of ideas,
concepts, or meanings).
Our examination of the three classes of truths which are taken to be
insulated from the world, therefore, has brought us to this conclusion:
all a priori truths (justifiable independently of experi-ence)
are necessary truths (their denials are contradictory), which in turn
are restricted to analytic truths (true in virtue of meaning relations
and logical laws). The popular perspective is that there are no
synthetic a priori (necessary) truths. And this is to say that
the only statements which must be true—and thereby immune
from revision—are analytic statements. Only analytic truths
escape the epistemic dangers of experience as a path to the truth, or to
put it another way, the only infallible truths are analytic truths.
Thus you can gain certainty only be sacrificing the synthetic character
of your statements; infallible truths tell us nothing significant about
the world and do not extend our genuine information about any
extramental state of affairs. The price of revisionary immunity, the
philosophic salesman says, is total surrender of the informational
importance of your statements. The analy-tic/synthetic distinction is
crucial to this claim.
2. A
Popular Philosophical Prejudice and its Consequences
A sharp distinction between analytic state-ments (whose truth-value can
be determined by an analysis of the statement itself) and synthetic
statements (whose truth-value must be determined extralinguistically,
through empirical confirmation) has been advanced in the twentieth
century by many philosophers and their schools (not excluding some
evangelical apologists)—most conspicuously by linguistic
conventionalists and positivistic reductionists. That the a priori
truths are coextensive with the analytic truths has gained
widespread agreement and has almost attained the status of a popular
platitude; it is unwittingly imbibed and authoritatively pontificated by
students and professors of philosophy, amateur and professional.
A priori
truths, being independent of any particular experience, are not thought
to be absolute in character but rather a matter of linguistic
convention (about how we choose to speak of the world), from which
we derive the necessity of such statements. The truth of an a
priori statement derives solely from language; when the language is
known, the truth of the a priori statement is simultaneously
known. Thus a priori truths (distinguished from a posteriori
truths in terms of the way of knowing) are known independently of
experience because they are analytic (distinguished from synthetic
truths in terms of the grounds for determining truth). Like
Kant, it is held that the fixed order we associate with the world is not
independent of the thinker (or today, speaker), but unlike Kant, there
are no synthetic a priori truths. The other side of this modern
coin is the insistence that all meaningful assertions which are not
analytically vacuous of information about the extramental (extralinguistic)
world must be verified, if at all, empirically. Anything that is to
count as evidence for a statement—the possibility of there being such
evidence constitutes the statement as synthetic in character—must be a
matter of observation or sense experience.
A rather straightforward declaration of the modern prejudice is found in
chapter III of An Analysis of Knowledge and Valuation (Illinois:
Open Court, 1946) by C.I. Lewis:
Every statement we know to be true is so known either by reason of
experience or by reason of what the statement itself means. There are no
other sources of knowledge than on the one hand data of sense and on the
other hand our own intended meanings. Empirical knowledge constitutes
the one class; all that is knowable independently of sense
experience—the a priori and the analytic—constitutes the other,
and is determinable as true by reference to our meanings.
Traditionally a statement which can be certified by reference
exclusively to defined or definable meanings is called analytic;
what is non-analytic being called synthetic. And traditionally
that knowledge whose correctness can be assured without reference to any
particular experience of sense is called a priori; that which
requires to be determined by sense experience being called a
posteriori. . . . The thesis here put forward, that the a priori
and the analytic coincide, has come to be a matter of fairly wide
agreement. . . . There are no synthetic statements which can be known
true a priori. . . . Apart from what is thus logically necessary,
we know facts of existence only by experience and through induction.
Holding to the analytic/synthetic distinction in the manner described
above is not a neutral or impartial conviction with which all
philosophical positions need to agree. Indeed, it commits one to an
extensive, substantive, philosophical position in its own right—an
outlook and method which have notable consequences.
To treat some statements as “analytic” and others as “synthetic” is: (a)
to discriminate between the statements of your belief-system and treat
them separately (judging each claim one by one, in isolation of the
others) rather than to consider and test the corporate system as a
whole; (b) to hold that some statements are such that their denial can
be ridiculed as a failure of understanding, and thus that these
statements are immune from revision; (c) to hold that such statements
are not only unfalsifiable but also non-informative, make no difference
to what is true about the world, or are trivial; (d) to “flatten out”
all the other statements of your system—the informative ones—so that
each is treated as on the same footing as all the rest of the
significant claims of the system, thus recognizing no privileged status
for any statement (or any degrees of basicness, importance, centrality,
immunity, etc.) but rather feigning both willingness to abandon any
claim as easily as any other and impartiality in subjecting each and
every statement to the same procedures and standards; (e) to hold that
the meaningful, informative, and impartially judged statements of your
system have been justified in an empirical manner (experience being the
test for truth-claims); and (f) to use the preceding epistemological
convictions and standards to govern and critically determine what
substantive beliefs about reality you endorse—that is, “philosophic
methodism” (or decreeing the priority of criteria over the
determination of all accepted beliefs about the world, instead of
the priority of some beliefs over the determination of the
criteria to be used in accepting further beliefs).
3.
Implications for Apologetics
What are we to make of the analytic/synthetic distinction? Is it
acceptable? I believe not, and I believe that it is far from innocuous
in relation to Christian apologetics. As a weapon of philosophic
discussion, this distinction will consistently mislead people. It is a
pernicious idea that every truth that is significant is exclusively
determined by empirical (observational) procedure, consigning the re-mainder
of the truths (as well as all necessity) to the conventions of language.
To hold such an opinion is well-concealed ax-grinding.
That it is wrong to draw the distinction in the common fashion is
evident from what philosophers have done with it, namely, to oppose the
infallible truth of God’s revelation in Scripture. If what the Bible
says is to be genuinely informative (if it is to make a difference to
experience), then we are told that it must be verified by the privileged
standards of empiricism—which means Scripture cannot have all of
its claims confirmed (leaving the believer to leap from history to
metaphysics), and even those which might pass scrutiny cannot be taken
as infallibly true but at best probable. On the other hand, if
what the Bible claims in the realm of metaphysics and not only history
is to be taken as immune from revision, then we are told that it cannot
be genuinely informative about reality (i.e., synthetically true), or
cognitively meaningful and significant, or anything but an arbitrary and
trivial convention. The Christian is impaled on the horns of a (false)
dilemma: choose to abandon an infallible metaphysic or accept a trivial
religious opinion. If the Christian faith is to be intellectually
respectable it must abandon the claim to revisionary immunity, become
subservient to an ultimate authority outside the system, and be willing
to have its claims divided up and judged one by one.
With so much at stake it is only natural that the apologist ask the
philosopher for the exact nature and rationale of the analytic/synthetic
distinction. How are statements to be isolated as analytic? What is it
precisely to say that some statement is analytic? Is there a distinct
class of such truths? What point is there to having such a separate
class of statements? We shall soon see that the analytic/synthetic
distinction has been obscurely drawn and is itself an
insupportable dogma which is accepted in advance of, and is in
fact used to navigate, the important questions of philosophy.
Therefore, it behooves the Christian apologist to examine the
analytic/synthetic distinction as it has been used (or abused) in
philosophy. In so doing he will also gain an important insight into the
character of belief-systems, the testing of statements within such
systems, and the realistic place of empirical procedures in the
resolution of conflicting claims or systems. Moreover, a study of the
analytic/synthetic distinction will enable the believer to understand
the essential infirmities and confusions that undergird the two central
philosophical polemics against the faith in this century: (1)
verificationalism, and (2) the absence of falsification conditions.
Hence a study of the analytic/synthetic distinction will (positively)
indicate important features of argumentation between conflicting
viewpoints, and (negatively) it will help the Christian to see the
faux pas committed by the cultured despisers of the faith in this
century.
4. The
Challenge and Prerequisites of a Satisfactory Answer
The clarity and genuineness of the analytic/synthetic distinction is
crucial to the philosophic perspective and method which has been
sketched above. The infirmity of the former spells the failure of the
latter. Thus what we need to do at this point is simply ask for an
explanation of the analytic/synthetic distinction. Can this distinction
be plausibly drawn and clearly laid out?
Distinction ought to be made where they are called for, and indeed this
is a great part of the task of philosophy: to split significant hairs.
But we ought to avoid making unnecessary, unfounded, or confused
distinctions which, due to the consequences they have for decisions we
make, can lead us into arbitrariness and mistake. It is another great
task of philosophy, where unwarranted distinctions have been
pontificated and unwittingly endorsed, not to let sleeping dogmatists
lie. What good is a distinction that is not distinct? If an
alleged distinction does not clearly distinguish one thing from another,
the “distinction” is hardly justified and, indeed, may carry latent
dangers if we unwittingly trust it to be doing the task it
pseudo-confidently claims to do.
Is the analytic/synthetic distinction clear? Is there a class of truths
which are exclusively and uniquely “synthetic” (or “analytic”) in
nature? Supposedly, analytic truths are those whose truth or falsity
depends solely on the meanings of the words with which it is expressed;
an analytic truth, as distinguished from a synthetic truth, is one whose
truth derives from language alone and thus can be determined
simply by consideration and analysis of meanings in the light of logical
laws. Such statements which are true ex vi terminorum (“by virtue
of the terms”) are insulated from the world of experience; they would
hold true of every possible world and thus impose no limitation on what
we hold to be actually the case. An analytic truth is independent of
all particular experiences. Therefore, while we can know a class of
statements with absolute certainty, they do not tell us anything
interesting about the world. Revisionary immunity can be found for some
statements of your belief-system, namely, the “trifling propositions”
(as Locke called them). Is this perspective lucid and defensible?
What we should see is that the analy-tic/synthetic distinction is not
really understood by its proponents. The cleavage between these alleged
kinds of truth is ill-founded and does not make sense. We ought to
maintain that there is no unique and discernable class of statements
such that everybody must endorse them since they are true in virtue of
language alone and independently of fact. To exhibit this I shall begin
by asking, how we are to conceive of, characterize, or define the
analytic truths? We need to have a satisfactory answer to this question
in order to be able to identify the truths which are analytic. For
instance, I do not know whether the statement, “Nothing can be red and
green all over at the same time in the same respect” is analytic or
synthetic, and this indecision does not very plausibly point to an
inadequate understanding of the meanings of “red” and “green” on my
part. The trouble, instead, is in understanding “analytic.” And thus
the proponent of the distinction needs to explicate the notion of
analyticity.
There are certain definite requirements placed on any attempt to
explicate analyticity which is to be adequate for the present purposes.
Proposed ways for drawing the analytic/synthetic distinction should
not be empty, that is offering no analysis whatsoever but, in
effect, merely restating the distinction. A proposal should not be
question-begging or circular, appealing to that which analyticity is
designed to explain in order (in turn) to explicate analyticity itself;
thus a proposal should in effect provide a further, independent account
of necessity (and a statement should be identifiable as analytic
independently of accepting it as necessary). Moreover, the proposal
should not assume notions which themselves ought to be analyzed, which
are in the same need for explanation as analyticity, or which depend on
analyticity for their explication.
An acceptable proposal must also allow us to identify in advance
the analytic statements, not waiting for a complete enumeration of them
by some philosophical pope. Involved here is the obvious requirement
that a proposal teach us to isolate clearly and successfully
all of the analytic truths (not just a portion of them); that is,
the proposal should not be metaphorical or intuitive in nature, nor
should it be a mere stipulation, but rather it ought to provide an
effective means of empirically justifying any attribution of analyticity
to a statement. This requirement further specifies that a non-formal or
non-stipulative explication will be testable in natural language,
the same language in which the distinction is philosophically utilized.
Furthermore, when any proposal effectively demarcates a well-defined
class of analytic truths from truths in general, it must both include
the commonly accepted, paradigmatic, preconceived illustrations
of analytic truths (e.g., “All bachelors are unmarried males,” etc.) and
exclude accepted “synthetic” statements in order that it avoid
ad hoc arbitrariness and qualification.
Then again, an adequate proposal in the present situation will have to
be one which is devised in the context of conventionalism’s claim
that all necessary truths are analytic; the proposal must not allow for
synthetic a priori truths. The proposal must draw the
analytic/synthetic distinction absolutely and not leave it a
matter of degree. The proposal should render analytic truths
unrevisable and unreasonable to reject (irrespec-tive of a man’s
beliefs, except about meanings of words). Finally, and most obviously,
any satisfactory proposal for distinguishing synthetic from analytic
truths must not appeal to groundless or false claims.
Keeping these minimal requirements in mind, we will see that the
dichotomy between analytic and synthetic truths is an unwarranted and
infelicitous one. We will do this by means of the following
consideration of the main proposals which have been advanced for
defending the analytic/synthetic distinction.
1. Examples and linguistic competence. Some philosophers have
hoped to support the analytic/synthetic distinction by citing
(allegedly) clear examples of the contrasting kinds of truths and
pointing to the general agreement of those who appear to use the
distinction competently. It is supposed that where there is general
agreement regarding the application of a classification (viz.,
“analytic”) to an open reference class, that classification must be
grounded in a genuine distinction. But of course this proposal falters
over the untestable assumption that its examples are indeed clear and
that the users of the distinction to whom it alludes are indeed
competent ones. Moreover, it is at bottom an appeal to intuition; if no
warrant for the intuitions of analyticity is forthcoming, the fact that
there are these “intuitions” or that a few clear examples can be
produced is suitable only for the philosopher’s autobiography (telling
us something about him, but not about the distinction in question).
How does one learn this maneuver of distinguishing analytic from
synthetic truths if it is not immediately obvious to him? Could the
student ever conceivably refute his teacher’s identification? Can some
people be more competent than others in this distinguishing procedure?
Such questions as these uncover the inadequacies of the present
unexplicated appeal to a genuine distinction. But its central problem
is its failure to actually clarify the analytic/synthetic distinction,
which is what the original challenge asked to be done. One convincing
way to show that something exists is to exhibit it—give a clear and
usable account of what it is and how to recognize it. The current
consideration of examples and linguistic competence does not do this.
We are still left asking, just what is the nature of the
analytic/synthetic distinction?
2. Conceptual containment. Kant taught that analytic truths are
those where the predicate is already conceptually contained in the
subject. This was Kant’s psychological account, which was supplemented
by his logical account (or criterion) listed below. For Kant an
analytic judgment is such that “what is thought in the
predicate-concept” has already been “thought in the subject-concept.”
The statements in quotation in the previous sentence are unclear (for
instance, how do we identify and individuate them?), and Kant does not
discuss them. Further, Kant leaves the notion of conceptual
“containment” at the metaphorical level. Yet even if Kant had
clarified the notion of one thing-which-is-thought being contained in
another thing-which-is-thought, we would have to observe that Kant’s
account of analyticity is restricted to truths of the subject-predicate
form; as such it excludes applied logical truths (e.g., “Jam is seedless
or is not seedless”) and relational sentences (e.g., “A father is older
than his son”). Thus Kant’s proposal was intuitive at base and
incomplete at best.
Based on his account, Kant maintained that synthetic judgments could not
be reduced to analytic judgments (the distinction must be absolute).
However, he based his claim on the fact that synthetic judgments
contain predicates which we know apply to the world, but such a
fact would be insufficient to guarantee the distinction. For why should
such a predicate not also be “contained in the subject-concept” of the
proposition in which it appears (that is, why shouldn’t it form an
analytic judgment)? To say that a certain predicate has application to
the world is a semantical comment which tells us nothing as to whether
the predicate has certain syntactical relations to other concepts. Thus
Kant has not adequately insured that the analytic/synthetic distinction
is tight.
Moreover, since Kant said that an empirical concept could not be defined
(giving it a real essence) but only given its conventional signification
(which is liable to change with increased knowledge or changed
interests), he could not consistently teach (as he attempted to do
elsewhere) that “All bodies are extended” must be analytic, while “All
bodies have weight” must be synthetic. Instead, the analytic/synthetic
distinc-tion at this point would have to be merely conventional and
arbitrary, not absolute. The relativity of what will count as an
analytic truth is also evident from the fact that Kant sought to
determine them by the connection between concepts-which-are-thought, for
a shift can take place in people’s conception of things;
concepture connections will hold only relative to a given system of
thought.
3. Self-contradictory denials. As mentioned above, Kant had a
dual account of analyticity; his second or logical approach has been
advanced by many other notable philosophers (e.g., Leibniz). It lays
down the criterion that an analytic statement is one whose denial is
self-contradictory. However, in the broad sense needed to
explicate analyticity, the notion of self-contradictoriness is just as
much in need of clarification as that which it supposedly explains; as
Quine puts it, “the two notions are the two sides of a single dubious
coin.” For example, consider “It is not the case that all men
are rational animals” (i.e., the denial of a commonly accepted instance
of essential predication or conceptual containment). Is the statement
self-contradictory? It is not clear how we should answer, for
syntactical inspection of the specimen shows us nothing like “A and
not-A.”
It might be thought, then, that at least this criterion of
self-contradictoriness applies to the logical truths expressed in our
language (that is, statements which are true under all
reinterpreta-tions of their constituent parts other than the logical
particles: “and,” “or,” “if, then,” “not” and other syncategormatic
terms). Obvious examples come to mind: “no unloaded gun is loaded.”
But just as obvious are many infelicitous examples. Two psychologists
might well argue (and empirically justify) different responses to: “No
unhappy man is happy.” The fact is that natural languages have
sentences, like “Business is business,” whose denials produce a
contradiction in symbolic logic (“A and not-A”) but not in ordinary use;
thus these sentences must also be tested empirically and not merely in
virtue of the conditions established by their terms. The logical truths
cannot be adequately translated from any natural language, although it
is easy enough (or rather, there is a clear enough procedure directing
us) to find them in formal systems. This is to say the criterion
presently under consideration will not help us to isolate successfully
all and only the analytic truths in English (or any other natural
language). In ordinary discourse you cannot read a contradiction right
off the verbal symbols, and thus there are not truths which are
independent of fact (true simply in consideration of the statement
itself). You cannot decide which statements are those whose denials are
contradictory without just begging the question.
But the advocate of the analytic/synthetic distinction might reply that
the criterion (that self-contradiction characterizes the denial of an
analytic statement) is satisfactory if we will but take consideration of
“the sense” of the words in specimen sentences. Thus the sense of “man”
in “Every man is a rational animal,” the possible double sense of
“happy” in “No unhappy man is happy” etc. are such as to indicate
whether a denial of the statements is contradictory or not—and thus
whether the statements are analytic or synthetic. But this recourse
involves reference to notions like sense, definition, and
synonymy—which, as we will see below, is question-begging as an
explication of analyticity.
The only response that would then be open to the advocate of the present
proposal would be to take self-contradiction in a psychological rather
than strictly logical sense. That is, when “analytic” statements are
denied by someone, other speakers of the language have a feeling of
oddity or bewilderment or humor (etc.). However, this approach is
inadequate since: (1) not all speakers in a community will in fact have
the same reaction to such denials, and you can only choose the
trustworthy ones by question-begging; (2) this approach does not
distinguish the feeling had when firmly believed “synthetic”
statements are denied, from the feeling produced by the denial of an
“analytic” statement (thus rendering the ana-lytic/synthetic distinction
obscure); and (3) since there will be degrees of discomfort
produced at the denial of various analytic statements and various
synthetic statements, a radical distinction cannot be maintained.
4. True by virtue of meaning and independently of fact (three
suggestions). Kant’s views about conceptual containment have been
restated, trying to make his point somewhat more acceptable. His
intention we are told is captured by saying that in an analytic
judgment, what we mean by the predicate is already included in the
meaning of the subject. The meaning of the words used to express a
statement make an analytic statement true without further recourse to
the facts of experience.
This proposal leads us to ask about the nature of meanings then. How
are they individuated? When do two expressions have the same meanings
then. How are they individuated? When do two expressions have the same
meaning or different meanings? Just here it is important to remember
that two nominal expressions can denote (or name) the same thing but
differ in meaning (e.g., “the morning star” and “the evening star”;
“four” and “the number of the gospel”
[sic]),
and two predicates (general terms) can have the same extension (the
class of all entities of which the general term is true) while yet
differing in meaning (e.g., “creature with a heart” and “creature with
kidneys”). Thus the meaning of terms cannot be identified with their
referents. We need to separate the theory of meaning from the theory of
reference. So then we again ask, what are meanings? Given an
Aristotelian bent, we might suggest that, although meanings pertain to
linguistic forms and not entitles, still the meaning of a term names
the essence of the entity (or entitles) referred to by the term.
However, things have essences only relative to a particular kind of
description. Notice that for the class of things referred to by
“rational animal” is identical with the class of things referred
to by “featherless biped,” and yet we do not say these previous
two expressions have the same meaning. Therefore, the notion of
essence assumes meaning (via descriptions, or how things are spoken of)
and cannot then give the latter its foundation.
It will turn out that when we engage in giving the meaning of
some utterance we are simply presenting a synonym for the term in
question. Thus theory of meaning might be concentrated on the study of
the synonymy of linguistic expressions. Even here, though, the proposal
that analytic statements are true in virtue of meaning will be
unsatisfactory since the notion of synonymy is just as much in need of
clarification as that of analyticity. The attempt to supply this
deficiency will be deferred until the next proposal for consideration.
At present we might turn to another attempt to utilize the previously
suggested characterization of analytic truths which emphasizes, not the
true-by-meaning aspect of it, but rather the independence-of-fact side
of it. In recent years Rudolf Carnap has suggested that analytic truths
are those which are true under every particular state-description
(i.e., under every exhaustive assignment of truth-values to the
noncompound statements of a language, thus enabling us to establish the
truth-values of any complex statement by accepted logical laws).
However, this attempt to specify analyticity is unsuccessful in natural
languages since they contain (extralogical) synonym-pairs (such as,
“bachelor” and “unmarried man”; “vixen” and “female fox”; etc.).
Because the terms, say, “bachelor” and “married” are seman-tically
dependent on each other, the state-description approach will undoubtably
fail to pick out the class of analytic statements. The reason for this
is that there will be a particular state-description which
assigns the truth-value of “true” to the noncompound statement, “Harry
is mar-ried,” as well as to the statement, “Harry is a bachelor.”
Under this state-description it is not true then, that “All
bachelors are unmarried men”; and because the previous statement is not
true under every particular state-description, it cannot be analytic.
However, this statement is commonly taken as a superb illustration of
an analytic truth. The present approach must thus be dropped for it,
too, stumbles over the problem of synonymy.
A final way in which the original idea expressed at the beginning of
this section has been set forth is as follows: analytic truths are such
that they can be translated into logical truths (or, to put it another
way, they can be reduced to logical truths by definition). We
are told here that when definitional equivalents are replaced in an
analytic statement, it will turn out a logical truism. Again, there are
serious problems with this. First, this account will suffer from
the same infirmities as that which said analytic truths can be
identified by the self-contradictory nature of their denials; these are
discussed above. Second, even forgetting the previous
difficulties, the proposal at hand makes the truth of analytic
statements depend, not simply on the meaning of the terms involved (as
claimed), but also on the validity of the laws of logic. This raises
the question of how to resolve conflicts over these laws, and even
further it forces us to ask about the status of (firmly accepted)
logical laws. Clearly, they too cannot be taken as “analytic” since the
position now considered has undertaken to characterize analyticity
in a way which itself involves reference to these laws of logic;
circularity was to be avoided. Yet if they are synthetic, analytic
truths cannot be discerned (as claimed) independently of fact (i.e.,
matters which form the substance of synthetic statements). And yet, if
they are neither analytic nor synthetic, the needed rigidity of the
distinction breaks down.
Third,
what is the source of the necessity of logical truths? We must ask this
because, if such truths are contingent after all, then “analytic” truths
cannot be explicated in terms of logical truths and in the long run
remain necessary or independent of empirical investigation. So then,
what is a logical truth, and how is it necessary? In the earlier phase
of his philosophic career Wittgenstein tried to give a criterion of
logical truth in terms of the notion of tautology (viz., a proposition
true under all truth-values of its constituent statements as well as
under every truth condition revealed in the truth tables.) This, along
with Carnap’s notion of L-truth, is a refined version of Leibniz’ notion
of “true in all possible worlds.” The difficulty is that Leibniz was
speaking of all “logically possible” worlds here, and to know
what is logically possible one must already understand the notion of
logical truth. Thus the characterization offered is circular and has
little explanatory value. Quine has elucidated a truth of logic as one
whose truth depends only on the logical constants (particles) employed;
it remains true on every reinterpretation of the statement’s constituent
terms aside from these logical constants. Descriptive terms, then, are
inessential to logical truths. But what counts as a logical constant?
Without a general account (which we have not been given) we must depend
on someone’s enumeration of them—which, to the advocates of the
analytic/synthetic distinction, would unacceptably reduce logic to a
matter of (perhaps linguistic) convention. Gilbert Ryle suggested that
logical constants are topic-neutral concepts (neutral, that is, for any
and all subject matters). The logical powers of these are the sole
support of truths of logic, where logical powers are discerned by the
entailments advanced by such topic-neutral concepts. Obviously, then,
since the notion of entailment presupposes logical necessity,
reference to the logical powers of topic-neutral concepts cannot serve
to explain logical necessity.
Moreover, an account of the necessity of logical truths would have to
manifest plausibility in the face of disagreements over the logical laws
which are to be accepted: For instance, intuitionist logi-cians are
suspicious of the law of double negation and the law of excluded middle.
The law of ex-cluded middle has been rejected by the ancient Epicureans
(in arguing with Stoic logicians), some medieval scholastics (in dealing
with the question of statements which express future contingencies) and
modern physicists (who concern themselves with the philosophical aspects
of quantum mechanics). It is subject to challenge on the basis of some
metaphysical positions, such as an element of Aristotle’s philosophy
(viz., a thing can be both potentially red and potentially not-red) and
of Hegel’s philosophy (viz., defining things in terms of their
negations). Further, there is the whole question of many-valued
logics; for in-stance, three-valued logic (true, false, inde-terminate)
turns out true to form, yet rejecting classical negation and excluded
middle (bivalence).
Then again, we can note that ontological interest attaches to deviations
in standard quantification theory (as found in the intuitionists).
Therefore, given the unsettled questions of how to identify the genuine
logical laws and account for their necessity, the suggestion that
analytic truths can be isolated by definitional reduction to logical
laws cannot be smugly accepted. It is not at all clear that this
procedure would enable us to demarcate the analytic truths after all, or
to do so by analysis of statements themselves, or do so in such a way
that no “reasonable” man would dissent.
As a fourth problem with the current suggestion that analytic
truths are those true by definition, we can consider the (implicit, if
not explicit) inference that anyone who rejects such definitional truths
forfeits his claim to reasonableness. “Kinetic energy is one half the
product of mass and velocity squared” is the kind of statement currently
accounted in physical theory as a definition. Yet without changing the
extension of the term “kinetic energy,” scientists after Einstein
reasonably rejected the definition held by scientists prior to Einstein.
Both groups talked about the same thing (forms of energy and its
behavior), but one group revised the definitions of the other group in a
nontrivial sense. It thus appears that definitions are revisable in
principle without sacrificing reasonableness, with the result that two
reasonable men can derive different sets of analytic truths. The only
way to salvage the absolute distinction between analytic and synthetic
truths would be to somehow qualify the type of definition to which
reference is made—and in a way which accords with the requirements
previously elaborated for the advocates of the distinction (e.g.,
proposals must not be ad hoc or question-begging).
A fifth and final infirmity afflicts the suggestion to pick out
the analytic truths by seeing which statements can be reduced to logical
truths by definition of constituent terms. How is the translation to be
accomplished? How do we find, for example, that “bachelor” is defined
as “unmarried male”? One might think it a simple matter to consult the
dictionary. But a lexicographer must already know what counts as
a correct translation (definition), and he then determines what should
be entered in his dictionary on the basis of his observation of a
natural language. That is, dictionary entries are observed synonymies;
they have been glossed because someone believes that a relation of
synonymy holds between a term and another expression. It goes without
saying, then, that such (fallible) observational beliefs about
particular synonymies cannot serve as the ground of synonymy in
general. We still need to be told what it is for two expressions to be
synonymous if the present proposal for explicating the analy-tic/synthetic
distinction is to accomplish its goal. We need to know on what basis
dictionary entries are satisfactory. Thus, what interconnections are
necessary and sufficient in order for two linguistic utterances to be
properly taken as synonymous? Just as with the first suggestion (dealing
with meanings) and the second suggestion (dealing with
state-descriptions) which were discussed in this section of our study,
so also the third suggestion drives us to inquire about the notion of
synonymy. Can it rescue the analytic/synthetic distinction?
5. Synonymy as interchangeability salva veritate. The chain of
steps used to explicate the analytic/synthetic distinction now brings
one to explain likeness of meaning or definitional equivalence in terms
of the synonymy of two expressions. This, it is next maintained,
can be accounted for as the interchangeability of two expressions (e.g.,
“bachelor” and “unmarried man”) in statements which make use of them,
such that there is no change of truth-value (salva veritate, as
Leibniz said).
Now in order for this criterion to work we need to stipulate some
qualifications. We shall not here be concerned to deal with the
interchangeability of two alleged synonyms in statements which are about
one of the expressions itself (e.g., how many letters long it is) nor
interchangeability of the two expressions in psychological associations,
poetic quality, etc. Our attention is rather focused on direct use of
undivided linguistic units (not fragmentary occurrences within an
expression) and sameness of meaning or objective information (import).
Synonyms need not be alike in accidental or incidental matters (e.g.,
whatever just happens to be the length, sound or other stylistic feature
of an expression; or whatever just happens to be the attitude, beliefs,
or feeling someone has about the expression). That is, what is
presently relevant for our consideration is the cognitive
synonymy of unfragmented expressions. At this point we might
quarrel that it is unclear as to what constitutes the indivisible
identity of an expression (wordhood, propositionality), and that there
is no evident rule for separating the informational and immaterial
features of an expression. But let us ride along on our intuitions or
rough and ready understanding. The main point at hand is the claim that
analytic truths can be identified as those which can be turned into
logical truths by exchanging synonyms for synonyms in the specimen
statements. In turn, cognitive synonymy is allegedly accounted for as
interchangeability salva veritate.
It is crucial that the account of cognitive synonymy allow us to pick
out all and only the analytic truths. Again, cognitive synonymy must be
understood apart from prior appeal to analyticity itself (i.e., the
account of cognitive synonymy cannot presuppose analyticity). Moreover,
used as a criterion for selecting analytic truths, the present proposal
must not only show specimen statements to be true (in a general sense),
but true in the special sense of “analytically true.” Remembering these
things, we will not be far from seeing the inadequacy of the present
proposal for delineating analytic from synthetic statements. That
proposal tells us that the truth-values of statements in which two
synonymous expressions occur are left unchanged when these expressions
are substituted for each other; in analytic statements this exchange of
synonyms allows the statements to become truths of logic. For instance,
we find that “bachelor” can replace “unmarried man” (and vice versa)
in any sentence without altering that sentence’s truth or falsity; thus
the two expressions are synonymous. This indicates in turn that “All
bachelors are unmarried men” is an analytic truth because “unmarried
men” can be replaced with “bachelors,” thus resulting in the logical
truth that “All bachelors are bachelors.”
But imagine now that we are using the extensional language of
elementary, first-order logic; it contains predicates (general terms for
attributes and classes of entities, as well as transitive verbs),
nominal expressions (singular terms), descriptions, and syncategormatic
logical terminology (for quantification and connecting atomic
statements), but it excludes counterfactual (subjunctive) conditionals
and modal adverbs. In such an extensional language any two predicates
will be interchangeable salva veritate just in case they are true
of the same objects (i.e., extensionally agree). This fact exposes the
inability of the present proposal to distinguish analytic from synthetic
truths, for many synthetic statements are not failed by this test. For
instance, “creature with a heart” and “creature with kidneys” will
preserve truth when exchange for each other in sentences where they
occur; hence we are driven to say that “All creatures with a heart are
creatures with kidneys” is an analytic truth—contrary to preconceived
illustrations. Moreover, we have no assurance that the extensional
agreement of “bachelor” and “unmarried man” rests upon meaning
instead of a mere accidental matter of fact (as with
heart-kidneys creatures). “All bachelors are unmarried men” is true,
but is it an analytic or synthetic truth? The present criterion cannot
tell us. Therefore, in an extensional language interchangeablility
salva veritate fails to provide us with a sufficient condition of
cognitive synonymy of the sort needed to derive the analytic truths.
The analytic/synthetic advocate will, of course, protest at this point
that his criterion has been forced to fail by the restrictions we placed
on the kind of language we would use (viz., extensional). The advocate
will note that when our language is enriched to include the modal
adverb, “necessarily,” then interchangeability salva veritate does
provide an adequate criterion of cognitive synonymy and thus completes
the identification of analytic truths. In the enriched language any
analytic truth is such that it can be prefaced with the adverb,
“necessarily.” Hence “Necessarily all bachelors are unmarried men”
passes the test of analyticity (as we would expect in advance), and
“Necessarily all creatures with a heart are creatures with kidneys” does
not qualify as analytic (again, as we would suspect). The latter is
still a truth when “necessarily” is dropped from it, but it is
accordingly a synthetic truth.
However, this response by the advocate will simply not do. His success
in drawing the analytic/synthetic distinction depends wholly on the
availability of the adverb, “necessarily.” But does that adverb really
make sense? Is it intelligible and clear in its import? Just here the
reader must remember the overall history of our present discussion! The
notion of analyticity was originally introduced, we should recall,
precisely in order to explicate the notion of necessity. Now we
are being told that analyticity can be explicated by reference to
necessity. The whole affair has degenerated to question-begging. The
advocate of the analytic/synthetic distinction has given us an account
of cognitive synonymy in terms of the effects of interchanging
expressions in certain contexts (with the aim of thereby delineating
analytic truths); however, he has insisted on making these contexts
those which are characterized by the modal adverb, “necessarily.” But
since analyticity was intended to explicate necessity, it turns out that
the previously mentioned test-contexts cannot be specified without a
prior understanding of analyticity. And if we already understand the
notion of analyticity, why are we striving so diligently to make clear a
criterion for it? Do we really understand the notion after all? If so,
where is the noncircular account of it? Necessity and analyticity have
been impoverished through paying each other’s bills but drawing on one
single account. The clarity of neither has been redeemed.
The preceding criticism can be put another way. The obscurity of the
analytic/synthetic distinction can be (delusively) removed only if
circularity is introduced into the account. Analytic truths are
explicated in reference to cognitive synonymy and logical laws; synonymy
is then explicated by reference to interchangeability salva veritate—recognizing
that the only language where this criterion will work is one in which
first order classical logic has been expanded to include the adverb,
“necessarily.” Thus cognitive synonymy actually takes as its criterion,
interchangeability preserving necessity. But if the notion of necessity
can be explained only by reference to analyticity, then the criterion
becomes interchangeability salva analyticity. So we are left
with a procedure for identifying analytic truth such that it includes a
criterion of synonymy, which in turn already depends on our ability to
identify the analytic truths!
The present proposal can be satisfactory only if the necessary
statements are identified in advance of the analytic statements, and yet
this independent criterion of necessary truth must so happen to pick out
the analytic truths as well. That is, when analyticity and necessity
are indepe-ndently explicated, the class of analytic truths must
nevertheless turn out to be the same as the class of necessary truths.
If the class of necessary truths happens to be in actuality larger
than the class of analytic truths, then the criterion of
interchangeability salva veritate (where “neces-sarily” is
prefaced) will pick out too many truths as analytic; should it be
smaller, it would pick out too few truths as analytic. Thus only
if the class of necessary truths is restricted to the class of analytic
truths will the proposed test identify all and only the analytic truths
in the long run. Hence you must assume the two classes to be
identical, and you must characterize necessary truths in such a
way that you do not automatically characterize analytic truths at
the same time. Otherwise we would be left wondering just what is the
separate property of necessity by which analyticity is found.
However, the assumption just mentioned will always jeopardize the
autonomy of the characterization just mentioned. The restriction
implicit in that assumption precludes there being necessary synthetic
statements. But consider this case: “Necessarily all colored objects
are extended,” and “Necessarily all objects reflecting light between
specified wave lengths are colored”; therefore, “Necessarily all
things reflecting light between the specified wave lengths are
extended.” The negation of this conclusion cannot be true, and yet the
conclusion seems to be a synthetic truth which is not true merely in
virtue of meanings or synonymies (i.e., “extended” does not mean
“reflecting light between specific wave lengths”). Prima facie
we have a necessary synthetic truth. One could know to disqualify this
example as a synthetic truth only if he was previously committed
to the assumption that all necessary truths are analytic. Thus
one would be able to shore up the current proposal for distinguishing
analytic from synthetic truths (with its dependence on
interchangeability preserving necessity) only by having a previous
understanding of the distinction being clarified. In effect he would be
relying on what is supposed to be proved. On the other hand, the
advocate could know to disqualify the preceding example as a
necessary truth only if he previously saw how necessary truths were
distinctly characterized from the characterization of analytic truths.
What then is the characteristic of necessity which sets it apart from
analyticity? If there is none, then the project of picking out a unique
class of analytic truths would be accomplished by the present
methodological proposal merely by subterfuge.
6. Stipulation and linguistic convention. The previous attempts
to account for an analy-tic/synthetic distinction have rested on the
notions of logical truths, conceptual containment, mean-ing, definition,
and synonymy. Aware of the inadequacies of these approaches, we can
turn to a different direction of explanation. Someone might say that we
must pretend that natural languages are like artificial (or formal)
languages in which the status of analyticity is clearly understood as
that of a convention or explicit rule about the use of expressions. (Of
course, artificial languages are such that their “rules” can be
arbitrarily reversed, thus making no expression inherently analytic;
this fact is conveniently de-emphasized.) Although there are no set
“rule books” at hand in a natural language, people still behave as if
there were such a rule book, or as if the formalized rule book that
would be constructed by ordinary people is the same as the rational
reconstruction offered of the natural language by scientists and
philosophers.
But, after all, we must be skeptical here. Is this “explanation” of
analyticity in natural language really plausible? How could we
establish when people act as if they had (or did) something
which in fact they do not have (or have not done)? The notion of
analyticity in a formal language cannot establish the presence of an
analogous notion in an informal language; the possibility of the notion
might just be created by the very character of the formal language—a
character not shared by natural languages. In a formal model,
moreover, analytic truths are those which are true by actual
stipulation; in carrying this notion over into natural languages, one is
immediately thwarted by the fact that analytic statements in them are
not literally made true by some stipulation. In this regard the
analytic/synthetic distinction fares no better than the imaginary
“social contract” story.
Furthermore, even when some statements are actually stipulated as true
in a natural language, these truths do not always retain a conventional
character but come to have systematic import like other truths which
happen to be discovered (e.g., Einstein’s stipulation that simultaneity
in a re-ference system should be defined by the constancy of the light
velocity). That is, not every stipulation produces an analytic
statement on a par with “All vixens are female.” Sometimes the same
stipulated definition will function as an arbitrary point in one period,
only to become a truth treated in the same manner as experimentally
derived conclusions in a later period. Hence to explain analytic truths
as those which are stipulated as true is of questionable interpretation,
application, and value.
Some logical positivists were tempted to hold that analytic truths are
actually empirical pro-positions about the way in which words are used.
However, while analytic statements might have this revelatory effect, it
is hardly plausible that this is the main function or intended use of
them by speakers who mention them. Analytic truths cannot be used to
make clear the meanings of their constituent terms if, as suggested
previously, the truth of an analytic statement depends solely on
the meanings of its constituent words. This would be an equivocal use
of analytic truths. As linguistic observations or as indicative
statements of any sort, the truth of alleged analytic statements is
important; this truth, we are told, can be discerned by considering the
meanings of words in the statement. But that will not lead us to a well
grounded decision as to the statement’s truth or falsity if in fact the
statement itself is needed in order to clarify the meanings which
we are to consider.
Likewise analytic truths cannot be veiled rules for linguistic use.
Rules cannot be true or false (in the sense of imperatives). So also,
if an analytic truth is made true in virtue of linguistic rules, it
cannot itself be the expression of those rules. And it is hardly
plausible to revise the position and say that analytic truths are
actually veiled statements of obligation. Similar comments to those
made about the views that analytic truths are about words, or are rules,
are to be made about the view that analytic truths are about concepts.
They cannot be about concepts and, as well, be true in virtue
of the nature of the concepts involved.
It might then be thought that analytic truths are such that each one has
“behind it” another proposition which states a convention for the use of
the terms in the analytic truth; such statements about linguistic
conventions would supposedly explain the necessity of analytic
statements. It must be noted, however, that such “background”
statements would only serve to determine whether some specimen
statement is analytic; they would not as yet explain what it means
for a statement to be “analytic.” Further, much more has to be said
about the unique relation holding between these “background” statements
and the analytic statements, for as yet no sharp distinction has been
drawn between analytic and synthetic statements. Supposedly, even
synthetic state-ments are such that they have “behind them” other
statements which express a convention for the terms utilized in the
synthetic statement. Admittedly, they are not determined to be true
solely in terms of these expression of linguistic convention, but they
are not independent of them either; on the other hand, analytic truths
are not determined to be true solely in terms of these
expressions of linguistic convention either, for they rest upon the
truths of logic as well.
Moreover, any truth whatsoever can be said to have an expression of
linguistic convention backing it up (e.g., “This society’s terminology
does not conventionally allow it to be said that flowers bloom anytime
but in Spring” is the expression of a convention which grantees the
truth of the statement “Flowers bloom in Spring”). When the advocate of
explicating analyticity in terms of linguistic conventionalism demurs,
saying that such expressions of linguistic convention are not genuine or
are observationally false, then he can be challenged to lay down the
criteria for a genuinely linguistic convention (as opposed to the
other types of convention) which are pseudo-transformed into a statement
of linguistic convention) and to justify the alleged nonempirical nature
of analytic truths (since it now appears that the truth of such
statements depends on other statements, whose own status must be
empirically confirmed as true or false).
Of course, most importantly, it can be questioned whether it is
literally true that there are convention-expressing statements
“behind” each analytic truth. To retreat to an affirmation that these
background statements are “implicit” in analytic statements brings one’s
position exactly into the same light as the stipulation-view with which
this section began. How are we to know that this is not simply an
imaginary story (like the fable of the social contract again) devised to
rationalized one’s prejudice for certain statements or a particular
outlook over others? The affirmation of “background” statements for
analytic truths, statements which are not only lying in the
background but doing so in an “implicit” way begins to sound rather
suspicious indeed. The grounds and criteria for such claims need to be
scrutinized. And even if we were to be satisfied about them, the
present proposal would still fail to explain the unrevisable nature of
analytic truths. Finally, the present proposal will need to vindicate
itself of the accusation that, in the long run, it is a vacuous account
which merely disguises a restatement of the analytic/synthetic
distinction.
Whatever analytic truths might be, the customary use and loose
characterization of them prevents us from holding that they are
stipulations, statements about word usage, rules for word usage,
statements about concepts, or statements with convention-expressing
backing. Such propo-sals only serve to increase one’s conviction that
the advocates of the analytic/synthetic distinction do not even
themselves understand the distinction. But perhaps the fault lies not
so much with these people as with the crippled notion they are trying to
mobilize.
7. Unreasonable denials. Still another attempt to draw the
analytic/synthetic distinction says that an analytic statement is any
sentence for which a person’s dissent is sufficient to conclude that he
does not understand the sentence. It is important to observe here that
it would be no good for the current proposal to maintain that a man who
rejects an “analytic” sentence is said not to understand the
relevant language used. Such a criterion could simply be taken to tell
us something about the use of the word “understand,” and
would preclude drawing a sharp and belief-neutral distinction since it
would be traced according to personal dispositions to use the
words “analytic” and “synthetic.” The present proposal is stronger than
that, for it would encourage us to conclude that the dissenter
from an “analytic” statement does not understand the relevant
language used to express the statement. But would this stronger
criterion succeed in making the analytic/synthetic distinction in the
way previously prescribed? I think not, and that is because under it
the confident and clear decisions could not be made which are necessary
to isolating the analytic statements. How do we know when
someone’s dissent from a statement is muddled? To do so would require
interpreting his rejection of the specimen statement and deciding
whether he might not have more insight on this matter than
you. Consequently, the current criterion is un-workable at best,
arbitrary at worst.
A similar kind of proposal to the foregoing is that analytic statements
are truths which it could never be rational to give up. Similar
difficulties afflict it as well. How shall we pick out those thinkers
whose reactions to statements are to be taken as “rational”? Can such
selection be done without begging the main question at hand and
nevertheless preserving the commonly regarded “analytic” truths? Can
this approach allow analytic statements to be identified in advance of
enumeration? Can the application of the criterion be taught to the
untrained? If the “reasonable” thinkers are chosen ahead of time, will
this test show the set of analytic truths to be well established and
unrevisable? It would appear that the obvious answers to these
questions, where not mere matters of groundless speculation, point away
from the credibility of the analytic/synthetic distinction as presently
conceived. The reason for this is that there is no commonly recognized
absolute necessity about the adoption or use of any particular
conceptual scheme over that of another; intellectual history is marked
by the conflict of basic paradigms in the philosophical outlook of
people. Thus no isolated truth is evident from a mere grasp of the
linguistic components constituting its expression—which is to say, there
is no statement which inherently must be accepted by any intelligent
thinker. Indeed, what people (and even communities or cultures) have
taken as the most basic and sacrosanct of truths can, after theoretical
revolution, come to have the same status as experimental statements
which are to be abandoned under appropriate experiential conditions—if
not simply relegated to the heap of anachronism.
For example, Kant thought he was saving science by exhibiting the
conceptual necessity of the principles of Euclidean geometry and
Newtonian physics, both of which were subsequently brought down from
their privileged positions by revolutionary developments in math and
science. Hence it seems rather unwise to identify an “analytic” truth
as a statement that no rational scientist or philosopher can ever give
up. Revisionary immunity cannot simply be elicited from statements in
themselves. Which statements are taken as necessary will be relative to
the body of accepted beliefs. Within a system of knowledge-claims the
espoused necessary truths will be those granted a special status of
immunity with little argumentation of an obvious sort. And even within
the set of “necessary truths” there will be some which, for some
thinker(s), are less necessary than others. For instance, a
person might view “All cats are animals” as analytically true, as well
as “All vixen are female.” Yet he could still exhibit or profess
more willingness to abandon the one rather than the other; something
might look like a cat but an automaton, he says, but no male fox could
be classified as a vixen. However, the opposite approach is open to us
(“Apparent vixen are more likely to exhibit male characteristics than
that anything which passes as a cat should fail to be an animal”). Such
matters are not settled by mere analysis of the statements themselves or
simple experimentation.
Hume treated the laws of Euclidean geometry as analytically true, for he
thought the human mind could not conceive of their falsity. In terms of
his theory of the relations between our ideas, Hume thought it was
impossible to imagine straight lines not conforming to Euclidean
definitions and laws; no experimentation could overthrow these claims. A
new theory had to be developed before classical geometry could be
challenged, and the time came when in fact Riemannian geometry was
accepted as a serious rival to Euclidean. What was analytic for Hume
eventually became a debatable question. And this did not occur
because the meanings of words had been slyly changed. (Of course,
anybody who is going to insist that meanings were altered will need to
resolve the problems of meaning identity and difference which were
raised above.) In terms of actual scientific experimenta-tion, the
Euclidean will deny that there is a limited number of “places”
through which one could travel in space; without changing the meaning of
“place” the Reimannian will endorse the limitation (thus
disagreeing with the Euclidean). The two geometers are not talking
about different things; rather, they have different theoretical beliefs.
Thus some “reasonable men” have repudiated what other “reasonable men”
have said is analytically or necessarily true. Similar comments could
be made respecting the shift from the Newtonian definition of kinetic
energy to Einstein’s revised definition (without taking the two men to
have been talking about different things) or about the history of the
causal principle before and after the advent of quantum mechanics. What
one should conclude is that, in these and other cases, holding some
statement to be analytic (or necessary) amounted to treating it with
preferred status; it would not be allowed to be overthrown by
isolated experimentation, although the advent of a new overall
theoretical outlook might tempt one away from his faithfulness to the
original statement. Betrayal of commonly accounted “analytic” truths is
not inherently precluded; such a “truth” is just one more, albeit
privileged, statement within a belief-system. Hence the present
explanation of analytic truths as those whose denials are unreasonable
is unacceptable.
The dogged advocate of the proposal, however, might ad hoc
qualify his criterion such that matters of physics and geometry (among
others) are excluded; that is, analytic truths must be restricted to
purely linguistic and logical matters. But beyond the obvious defect
that this is a prejudiced rescuing technique, the new proposal will have
shifted the problem from distinguishing analytic from synthetic truths
to the problem of distinguishing truths which are purely linguistic from
those which are otherwise impure. This brings him right back to
unanswered problems which have been examined above. The feeling that
the truths of logic must somehow demand acceptance, even if all else
fails to be immune from revision, is one which does not accord well with
the history of the discipline. The debates between Philo and Diodorus,
between the Stoics and Epicureans, among medieval scholastics, etc. must
not be forgotten; the law of excluded middle, as noted previously, has
not received unanimous endorsement, being repudiated, for instance, by
three-valued logic (which, it must be noted, does not alter the meanings
of the values “true” and “false” and still attains formal adequacy). In
the case of intuitionist logic (which again does not redefine the
logical connectives) we find the acceptance of a whole new network of
inference which repudiates some classic cases of valid inference.
Holding on for all he’s worth, the advocate of our present approach to
analyticity might respond that, whatever we make of most of the truths
of logic, at least the most fundamental laws of thought—identity and
noncontradiction—cannot be forsworn. But even here some modern
logicians have maintained that in the face of the most radical kind of
chaotic and recalcitrant experience, we would have to be willing in the
long run to revise these basic truths also. Pretend that personal
experience refused somehow to conform to the law of noncontradiction,
which we can, in a limited way, factitiously imagine: e.g., try what you
will, when you look at some figure from every particular angle, the
figure continually exhibits the features of both circularity and
rectangularity—no matter how much you blink your eyes; or, no matter
which way you look, and no matter how many empirical predictions you
test, you cannot escape the fact that you are simultaneously
experiencing what it is to be being in your car and not in
your car—to great psychological conster-nation. In such situations you
might not be consi-dered unreasonable to eliminate the law of
noncontradiction from your accepted truths.
“But,” says the analytic/synthetic advocate in a last ditch effort, “the
debates alluded to in logical theory through the centuries have all
exhibited ignorance on the part of one faction or another, and the
modern logicians who can imagine a context for abandoning the laws of
thought are themselves in such-and-such a manner mistaken.” However,
this very response will refute the present proposal, for right here the
advocate of the analytic/synthetic distinction will be admitting that
logical truths are in fact not such that no “reasonable” man
would deny them (or their necessity). The dispute between the advocate
and the opponent of the necessity of logical truths exhibits in itself
that reasonable men can disagree over them. The advocate of the
analytic/synthetic distinction has only one recourse to salvage his
position at this point: dismissing his opponent in a name-calling,
question-begging fashion as “irrational.” It is evident, though, that
this description can only mean that the opponent does not endorse or
insist upon the beliefs held as most basic by the advocate.
In the context of argumentation over very central or ultimate beliefs,
when the philosophic chips are down, there need be no agreed upon,
significant, and inherent distinction to be drawn between the
various fundamental beliefs held in one system of thought or any other.
No statement has in itself the power to guarantee its general
acceptance with revisionary immunity. Men who differ in their basic
beliefs will, for that very reason, be able to dispute which truths
must be accepted by any thinker who has a claim to
reasonableness. In such contexts it is futile to classify
statements—especially in the area of men’s presuppositions—as either
“analytic” or “synthetic.”
8. Criteria of application (two suggestions). The time has come
again to back off one proposal and bark up another tree in search of
analyticity. A new suggestion would be that to know the meaning of a
word or statement involves knowing the cri-terion (or criteria) of its
correct application or ut-terance. Thus “analytic” truths could be
discerned on the basis of what people would say under certain
situations about a word or sentence; to be specific, in the absence of
the criterial feature(s), they would be unwilling to use
the expression in question. However, when a commonly associated feature
of an expression is missing and people continue to use that expression,
this is evidence that the feature is not necessary to the expression. We
might put the matter as follows. When people would continue to
affirm a sentence or apply a term in the absence of some common feature,
the statement “If S, then F” (where “S” is the sentence in question, and
“F” is the affirmation of the relevant feature or truth) and the
statement “All T are F” (where “T” is the term being considered, and “F”
is the associated feature) would both have to be classified as
synthetic truths at best. But when people would not continue
to assent to these statements due to the absence of the mentioned
feature, then the statements should count as analytic truths.
The assumption in all this is that (at least some) expressions have
fixed and univocal criteria for correct application.
Philosophers have made use of this notion of criteria-of-application in
various ways so as to explicate the notion of analytic truth. One such
approach has been that a truth is analytic when (using the model of “All
T is F”) the criterion in mind for the application of the
subject expression includes the criterion in mind for
the application of the predicate expression. Leaving aside the
question of how we are to individuate such mental objects, we must now
ask: how can you tell whether this inclusion is the case or not? The
answer is that we are to perform an experiment with our imagination.
See whether you can consistently think of the subject without the
predicate; if you cannot, then the truth is analytic. However, it is
hard to see why this experiment would indicate anything other than an
individual’s personal ability to imagine things. Some people might be
so dull that they cannot even imagine the subject of a synthetic
truth without its predicate. On the other hand, when we have someone who
claims that he can imagine the required separation of subject and
predicate in the case of a commonly accepted analytic truth, how
are we to dispute the fact with him? Have we been dull, or is he
extraordinary insightful?
Moreover, we can ask just what it is for one mental criterion to be
“included” in another. As with Kant earlier, this is usually left at a
metaphorical level. One attempt to exhibit its meaning has been to draw
an analogy with the inclusion of one set of travel plans within that of
another. But this is a faux pas, and the analogy is dangerous to
the advocate of the analy-tic/synthetic position. We understand mental
planning precisely because it is voluntarily constituted; we
choose to do certain things (in a certain order), thereby “creating”
mental plans (to speak in the metaphorical sense again). However, the
inclusion of applicatory-criteria-for-terms in mind is said to be
something objective which we come to discern; it is not, according to
the present thesis, supposed to be a matter of volition. Hence the
analogy tends to suggest, if anything, that after all is said and done,
the inclusion of mental criteria is a relative matter depending on
personal stipulation. The analytic/synthetic advocate will likely just
drop the analogy and say that the supposed “inclusion” referred to among
criteria-in-mind is either seen by you or it is not. That is, he says,
the simple end of the matter. Yes, but this retreat to intuition ends
the matter too soon, for it is an admission of failure to explicate the
anal-ytic/synthetic distinction under the requirements previously
established.
Furthermore, it can be seriously questioned whether the criteria of
application for a particular term are fixed in advance of experience (as
the present proposal for explicating analyticity assumes). Is it the
case that statements are necessarily true in themselves
(analytic), and that we come to recognize a special pre-existing
relationship among the applicatory criteria for their terms (viz.,
inclusion) thereby apprehending the analyticity of the statement? This
is dubious. Someone may very well know how to apply the word “whale”
accurately in each case that arises, and yet his criteria for applying
the word need not include the applicatory criteria for “mammal.” In
such a situation, even if the man knows how to apply the word “mammal,”
and even though he never fails to use the word “whale” correctly,
nevertheless he could not (according to the proposed directions)
discover through an examination of the operative criteria for his terms
that “All whales are mammals” is analytically true. The criteria for
applying terms will be relative to a person’s store of knowledge.
Someone with advanced training might view a whale as an aquatic mammal
which resembles a large fish, while another person might simply apply
“whale” to instances of particularly large fish—and yet the
identifications of both turn out accurate. It seems inescapable that
for the man who uses the simpler non-mammal criteria, either “All
whales are mammals” is not an analytic truth (thus, the necessity
of its truth does not exist previous to the acceptance of a certain
outlook or categorization scheme), or it is not
apprehended as such through an examination of his criteria for the
application of the constituent terms. Both consequences, which will be
elaborated below, are devastating for the proposal under consideration.
Someone might respond to the fact that, of two people, one includes the
criteria for “mammal” among his criteria for “whale” while the other
does not, in the following way: these two individuals have different
meanings for “whale.” One meaning involves the analyticity of “All
whales are mammals,” while the other does not. There are at least four
major defects in this device for rescuing the view that analyticity can
be determined by apprehending the inclusion of applicatory criteria for
one word within the criteria for another word. First, recourse to
the claim that people have different meanings (as a device for
explaining why an alleged inclusion-of-criteria may not be the case for
everyone who can correctly use the terms in question) brings you
eventually back to the previous problems encountered in the attempts to
explicate analyticity either by synonymy or by stipulation. For, now,
the criteria for meaning-identity and meaning-difference must be given,
or else the analytic distinction must be thrown up to arbitrariness.
Second,
even if we should overlook the previous unpaid explanatory debt for a
moment, this rescuing device will undermine the original proposal that
analytic truths can be discerned by consideration of one’s criteria for
applying terms in a statement. The proponent of this view might say
that, when the amateur whale-observer adopts the meaning of “whale” used
by the educated whale-observer, then he can see that “All whales
are mammals” is analytically true. But here is the snag. While the
amateur will now decide that the statement is an analytic truth, he will
not have done so simply by examining his criteria for applying
the word “whale,” but rather by adding to the criteria (in
adopting a new use of the word). That is, the educated applicatory
criteria for “whale” will not be taught in some independent manner,
then leaving the amateur-become-student to go on and discover
that the criteria for “whale” (in the new, educated sense) so happens to
include the criteria for “mammal”; instead, the educated sense of
“whale” will be taught precisely by teaching that “All whales are
mammals” is a necessary (analytic) truth. Criteria-inclusion is
apprehended in the act of criteria-addition. Thus one does not
discern the analyticity of some statements (by separate discovery of
criteria-inclusion which pre-existed); he is merely taught the
analyticity of some statements (by the stipulation of
criteria-inclusion). Hence it turns out that criteria of
word-application will not indicate some independently constituted state
of criteria-inclusion; pre-existing analyticity is not divulged by the
proposed investigation procedure after all.
Third,
even aside from the fact that it shows analyticity not actually to be
discerned by an investigation for criteria-inclusion, the attempt to
rescue the original proposal for distinguishing analytic truths through
recourse to the use of different meanings for the same term is a device
which also surrenders the purported fact that statements are analytic in
themselves—that the set of analytic truths is fixed in advance, a set
which is clearly and uniquely set apart from any and all synthetic
truths. We have been told that analytic statements are those which have
the criteria for application of the predicate term included in the
criteria for application for the subject term. But then we saw that an
accurate but amateur observer of whales could not, based on a
consideration of his criteria for applying the term “whale,” discover
that “All whales are mammals” is analytically true. At that point it
was replied that, if the amateur would adopt the educated observer’s
meaning (use) of “whale” (which includes the criteria for “mammal”),
then he would discern the analyticity of “All whales are mammals.” But
this is just to say that a statement is analytic on a particular use
of terms (which might not even be the common, amateur use of them).
Analyticity is thus relativized to a selected body of knowledge or
particular use of language. What should be the set of statements that
count as analytically true (i.e., those exhibiting criteria-inclusion of
the specified sort) is a relative matter; it cannot be determined in
advance or in virtue of the statements themselves. But the result is
then that one man’s analyticity is another man’s syntheticity.
Since “analytic” means “analytic-on-this-usage” it is futile to
distinguish analytic truth from synthetic truth. Let me illustrate.
Image a man who examines his criteria for the application of the term
“monkey,” and he finds included there the criteria for the expression
“eats bananas.” Most people would agree that “Monkeys eat bananas” is a
true statement; however, for the man in question the statement is
analytically true. It turns out that, no matter how good an
imitation of a monkey we find in other respects, if the creature refuses
to eat bananas, our man will not apply the term “monkey” to it. If he
is told that the statement, “All monkeys eat bananas,” is the sort of
thing we usually deem a synthetic truth, he can reply that it is an
analytic truth on his usage. If anyone wants to retain the
current suggestion for identifying analytic truths and yet save the
category from the jaws of relativity, he will need to set forth the
criteria for deciding whose analytic truths are the genuine
ones. But this is at base the same task we set out to
accomplish: namely, to pick out the analytic truths in distinction from
the synthetic ones. It thus appears that the present proposal has
advanced us very little toward the accomplishment of the task
undertaken.
Fourth,
it should also be questioned whether the rescuing device under
consideration is ac-curate in its claim: namely, that the amateur and
educated whale-observers have different meanings for “whale.” Although
this was granted for argument’s sake above, we should now ask how
anyone knows that these two observers have different meanings.
After all, the referents of the term are the same in all actual
situations for both observers; they apply “whale” to the same things,
and thus it seems we would be justified in saying that the amateur
nevertheless knew what the word meant. The reply to this
would undoubtedly invoke a hypothetical situation which would
reveal that the application of the word “whale” would differ,
thus demonstrating the difference of meaning for the amateur and
educated whale-observer. If, for instance, a creature looking like a
whale were to be found without mammary glands, the amateur would
continue to apply the word “whale” to it, while the educated observer
would not. However, should the educated observer surprise us and
renounce the analytic truth that “All whales are mammals” (based on the
finding of this non-mammal, whale-like creature), then we must
conclude—according to the present proposal—that he has changed the
meaning of the word “whale.” Previously, “whale” could not have been
applied to a non-mammal, but now it is being so applied. So we will be
told: “The criteria have been altered in such a case. But as long as
the meanings remain unchanged, analytic truths can be discerned
by apprehending criteria-inclusion (of the previously specified sort).
Therefore, analytic truths are never renounced; whatever is offered as
a counter-example is in reality a case where the meanings of words have
shifted.”
However, the above explanation may not be as plausible as it appears.
Hypothetical situations will not actually tell you whether the meanings
of terms have changed or not; thus they will not exhibit that the
criteria for applying terms is fixed, or a fortiori that there is
a pre-established relation of inclusion between the applicatory criteria
of some words. Consider this illustration. Three people agree that
“All cats are animals” is true. Is it analytically true? Well,
we are to consider whether the criteria for “animal” are included in
those for “cat,” and supposedly a hypothetical situation will tell us
whether they are or not. So imagine that we discover that all the
creatures which look and behave like cats are (and always have been)
automata. One person says, “Cats are not animals after all.” A second
person replies, “No, there never were cats.” A third person disagrees
with both, saying “We should conclude, instead, that some animals are
automata.” Who has kept the meanings of the terms in tact?
Whose response evidences that he held “All cats are animals” to be
analytically true? On the other hand, held the statement to be
merely contingently true, and then came to change his belief that
it was true at all? Clearly, this hypothetical situation raises a
problem as to how we should speak, but it is not at all clear which of
the available options represents a decision to change our meanings and
which represents a change to beliefs. The reasons for the shift will be
the same in either case. Therefore, the proponent of the
analytic/synthetic distinction has told us that an analytic statement
(one whose terms bear a relation of criteria-inclusion) can be denied
only when the meanings of the terms have changed (thus altering the
criteria-inclusion relation), but we now see that this response still
leaves it an open question as to which statements count as analytic
truths. For it is not clear that hypothetical situations will delineate
changes of meaning from simple changes of belief. Until the criterion
of meaning-identity is made explicit, we still will not be able to
discern the genuine analytic statements.
Therefore, the criteria of application for terms (and relations of
inclusion among those criteria) do not seem to be fixed in advance of
experience, and statements are not analytically true in themselves (and
apart from empirical knowledge). Whether “All cats are animals” or “All
whales are mammals” are analytic or synthetic truths is indeterminate.
When there is agreement on the application of terms (e.g.,
“cats,” “whales”), there can yet be disagreement on the criteria
of application. This disagreement cannot be clearly categorized as a
difference in meaning, rather than a difference in belief (even when
hypothetical situations are alluded to). Hence reflection upon his
criteria of application for terms cannot tell an individual whether
there is a pre-existing inclusion of criteria for applying the
terms in a true statement, and thus whether the statement is analytic or
not. To discern an analytic truth cannot be to apprehend the inclusion
of criteria-of-application for terms, for apart from accepting a
statement as necessarily true there is no inclusion of criteria
to “apprehend.”
A second suggestion for distinguishing analytic truths which also
turns on the notion of criteria-of-application for terms can now be
entertained. The previous suggestion had run afoul through its
inability to distinguish natural laws from analytic truths.
Consequently, the new suggestion begins by distinguishing law-cluster
concepts (those whose identity is determined by a bundle of
general laws, any one of which can be abandoned without destroying the
identity of the concept: e.g., “atom,” “kinetic energy,” “gravity”
“whale,” etc.) and single-criterion concepts (the terms for which are
applied on the basis of only a single, generally accepted
criterion: e.g., “bachelor,” “vixen,” etc.). Next, the new proposal
sharply de-limits the analytic truths which it aims to explain. The
proposal is said to pertain only to analytic definitions which
are intuitive (not demonstrable), and more specifically to
intuitive definitions of single words. For the referents of
these words no exceptionless natural laws happen to be known.
Furthermore, acceptance of the analytic definition has no consequences
beyond that of allowing an interchangeable use of a pair of expressions
(viz., a definiendum and its definiens).
With these qualifications in mind, the new proposal is that an analytic
definition can be discerned as one where a single word is identified
with an interchangeable expression which serves as its only necessary
and sufficient condition (actually applied in practice) of
identification. That is, the subjects of analytic truths must be
one-criterion words; the definiens in an analytic definition is a
criterial feature or logical characteristic of the definiendum.
A common example is “All bachelors are unmarried men.” Hence to
distinguish analytic from synthetic truths requires us to distinguish
single-criterion words from law-cluster words.
A number of criticisms can be leveled at this suggestion. The most
obvious is that it amounts to an ad hoc shoring up of a position
through extensive qualification, and what we are left with as analytic
truths differs extensively from the original, larger class of common
examples. And even then the proponents of this approach to
analyticity concede that it admits of borderline fuzziness between
analytic and synthetic truths. Moreover, we are told that some
statements can be construed as analytic (where, apparently, they
are not normally taken as such). Thus the adjusted and restored
proposal still leaves the analytic/synthetic distinction rather
indistinct.
But there are principial problems in arriving even at that point by this
method. First, there is a certain irony about this position. To know
that “All A’s are B’s,” one must know that B is the only general
principle that applies to A, by which A can be identified conclusively.
If there is some natural law relevant to A, by which A is (or
could be) identified by someone with the requisite knowledge, then “All
A’s are B’s” would not turn out to be analytic (since A would not be a
single-criterion word). So note the irony: the statements which are
alleged to be utterly trivial and arbitrary—analytic truths—require us
to make an intelligent universal negative judgment (to the effect that
no natural laws apply to this case in hand) before they can be
definitively identified. One must know the most in order to discern the
least.
In defense, the advocate of the present proposal might take refuge in
the consideration that there is no good reason to suppose that there are
natural laws associated with the subject terms of analytic truths; that
is, the burden of proof is on the critic of adduced analytic truths to
give just cause for doubting that the word being defined is
one-criterion in nature. However, this “burden of proof” business is a
tricky matter. One could easily turn the tables by contending that,
since the advocate is propounding the affirmative position that
there is a unique class of statements which have a peculiar nature about
them and, as such, must be respected as immune from revision, the burden
of proof is his own; his claim is a far-reaching, significant,
and existential one and consequently it cannot be expected to stand as
truth just as long as nobody undertakes to challenge alleged instances.
Well, however one resolves the counter-charges that “The burden of
proof is on you,” this much is indisputable: the present proposal leaves
the isolation of analytic truths as something which is relative
to one’s knowledge. It is certainly conceivable that someone could
hastily conclude that some true statement is analytic, when in fact this
person simply lacks the education necessary to see that other laws
(beside the one stated) also apply to the subject term of the true
statement under consideration (e.g., someone who reads only the first
few pages of a physics or biology book). Now then, the difficulty will
become that of deciding when the truths we label “analytic” have been
hastily labeled, and when not. Hence much further explication is
necessary before the present proposal will enable us to distinguish
analytic truths from synthetic truths with any confidence.
Furthermore, according to the present thesis, to identify an analytic
truth one must first be able to identify a single-criterion word (one
which has only one necessary and sufficient condition for correct
application). This raises the troublesome matter of individuating
criteria. Since so much rests on one’s ability to discern a single
criterion, the task of laying down conditions for differentiating one
criterion from another cannot be evaded. For example, “All bachelors
are unmarried men” is viewed as analytic just as long as being an
unmarried man is the only condition for concluding that someone is a
bachelor. “But,” someone might contend, “there is another
criterion for the correct application of the word “bachelor,” namely:
being an unwed male.” If this counter-claim should stand
uncorrected, then “All bachelors are unmarried men” would fail to
be analytically true on the present thesis. “Bachelor” would not be a
single-criterion word after all.
Obviously, the present position can be salvaged only by showing that
“unmarried man” and “unwed male” are in reality only one
criterion. But this means that one must be able to identify them as
synonyms—which brings us back to the troubles previously encountered in
an attempt to explicate analyticity. To avoid these, the advocate of
the present thesis might attempt to construe identity of criteria
behavioristically: when those who use one criterion do the same
thing as those who use another criterion, then in reality the two
criteria are actually one criterion at base. The sad fact is,
though, that even those who hold to the same expressed
criterion (say, “unmarried man”) do not follow the same
behavior pattern in determining whether the criterion holds in a
particular case. Some people might look for a wedding ring on the left
hand, some look for possible witnesses, and others check relevant state
records. The single-behavior test will not even work for the single
expression of a criterion, then, much less for the multiple
expression of a criterion.
To shore up his (already extensively shored up) position, the advocate
might now say that one criterion is identical with another if those who
hold the one could do all the things done by those who hold the
other, and vice versa. However, unless the judgment, “Those
using criterion A could do (even though they do not do)
everything those using criterion B do,” is a grand instance of
question-begging, it must be a prediction subject to confirmation
and disconfirmation. But since the judgment pertains to something which
does not actually happen, it will be impossible to confirm or
infirm it in practice. But before we venture into the whole area of
determining the truth of counterfactual hypotheses (which we will
discuss shortly), let us simply stop and take appraisal of where we are.
It must be overwhelmingly obvious that distinguishing analytic from
synthetic truths has by this point become: (1) not at all a task whose
difficulty is commensurate with the alleged triviality of the statements
in question, and (2) more importantly not something which can be
determined by reference to language alone (as was originally
imagined with respect to analytic truths). Moreover, the present course
of the discussion is going to lead the advocate into the highly
debatable issues of the behavioristic approach to semantics; only by
weathering the strong objections to that outlook would the present
thesis succeed (in the limited area left to it) at labeling some truths
as “analytic” (after the extensive and requisite empirical
investigations into behavior). It is at best highly questionable
whether behaviorism can be sustained here, and thus the allegedly clear
notion of analyticity has been explicated by sinking into the decidedly
unclear matters of behavioristic semantics. If this is the only
direction the explication can take, then we are justified in concluding
that analyticity is not very well understood (at least at the
present time) and cannot be expected to play an important role in
philosophical disputes.
A final problem remains to be discussed. It can be broached by pointing
out that advocates of the single-criterion view of analytic truths admit
that single-criterion words can through historical development change
their linguistic character, becoming law-cluster words. For instance,
on a previous understanding of “atom,” the statement “Atoms cannot be
split” would express an analytic truth; however, after certain
scientific developments and experiments, “atom” became a term identified
by a cluster of laws, such that one day “Atoms cannot be split” came to
be viewed as a synthetic statement—and a false one at that. Therefore,
to know that a certain statement is analytic, we must be sure that its
subject term is presently a single-criterion word, rather than one
characterized by a number of natural laws (or symptoms) which could
be used indicate the appropriateness of using the term in
question. The emphasis lies on the predicate expression being a
criterion for the subject expression, not merely a symptomatic
indication. The point can be made in this fashion: even if there
were exceptionless natural laws about bachelors, they could not be used
to conclusively determine who counts as a bachelor; the only
genuine criterion of bachelor-hood is revealed in the truth that
“All bachelors are unmarried men.”
Thus we can see that, if analytic truths can be identified only by one
who is able to identify single-criterion words, then not only do we have
the difficulty of individuation (discussed above), but also the problem
of identification. We must be able to distinguish, not only one
criterion from another criterion, but also a criterion from a
mere symptom. Briefly put, what distinguishes synthetic symptoms
from analytic criteria? (This question is a challenge to the present
thesis about single- criterion words as well as to the previous
thesis about criteria-inclusion between words.)
The proposal seems to be this. Of the features which regularly
characterize the occasions in which a word is correctly used, some of
the features could be reliable empirical correlates (viz.,
symptoms), while at least some other feature will be attributable to the
word’s meaning, thus being logically characteristic and
definitive of the word’s proper use (viz., a criterion). Now then, how
could these two kinds of features be distinguished from each other in
actual instances of word usage? We want to test whether a feature which
obtains in all normal cases of a word’s occurrence does so in virtue of
the word’s meaning or not. Meaning is here explicated in terms of
criterial feature(s); the list of such logically characteristic features
must not include those which a speaker does not rely upon in his
willingness to use the word in question. However, an obvious snag
arises. There can be no evidential basis for identifying some reliable
feature of a word’s usage as logically characteristic rather than
empirically symptomatic. Because the feature is, ex hypothesi,
perfectly reliable, we could never actually observe a case where the
word is properly used in the absence of that feature. This fact is true
of both criteria and symptoms of the word’s usage, and thus
observation alone will not distinguish the two.
In response to this, advocates of the view being examined have appealed
to anomalous situations and a speaker’s intuitions about what he
would say under such situations. That is, a counterfactual
hypothesis is set forth (“what if the heretofore reliable feature were
to be absent in some instance of the entity named by the subject
term?”—e.g., “what if we found cats which were automata rather than
animals?”). If the speaker would still use the word in question, the
hypothetically missing feature of the word’s usage. Allegedly, then, in
situations where some of our relatively secure beliefs (about features
being invariably correlated with the correct application of a word) were
to turn out false, what we would say reveals the actual meanings of our
words—which in turn determines the possible range of analytic truths.
We see, then, that the analytic/synthetic distinction rests on the
criterion/symptom distinction, and drawing the latter relies upon the
reliability of a speaker’s intuitions about what he would say in
counterfactual situations. The confirmation of that reliability cannot
depend upon observation—which is precluded by the terms of the
question; since these hypothetical situations never arise in the case of
perfectly reliable features, there is no way to confirm empirically what
a speaker would say. Moreover, the reliability of the speaker’s
intuitions cannot rest on theoretical confirmation, for we have
no charac-terization of the criterion/symptom dichotomy which is
independent of the reliability of a speaker’s intuitions (about what he
would say in anomalous situations); without that independent theory
there are no confirmable or disconfirmable predictions about what would
be said on the basis of the speaker’s intuitive claims. Consequently,
the reliability of the speaker’s intuitions is held to be supportable
only when they derive solely from his mastery of the language.
However, it is highly implausible that the reliability of a speaker’s
intuitions about what he would say under counterfactual situations can
be ascribed to (or held to be implicit in) his mastery of his language.
To ask what we would say should some of our beliefs (about reliable
features accompanying correct word usage) prove false involves asking
what new beliefs would replace the old ones, and that all depends
on what theories would be devised and adopted under the anomalous
situation. To decide what new beliefs should be endorsed, therefore,
requires long and serious inquiry at the time our expectations become
misleading. Only at that time would it be evident how much of our
current belief-system and ways of talking would have to be adjusted to
accommodate the new discovery. And there is simply no good reason to
think that an ability to predict the outcome of such investigation,
theory reformulation, and novel belief adoption, is implicit in a
current mastery of a language. Hence it is quite implausible that a
speaker actually knows what he would say under anomalous
situations. A knowledge of language will hardly give you good grounds
for deciding what beliefs will be adopted and what theories will be
proven in the imaginary future of science! Linguistic competence does
not entail prophetic ability to say what theories would replace the
currently entrenched ones if a change in empirical generalization were
uncovered.
Should the advocate of the present proposal become stubborn, insisting
that a speaker’s intuitions about what he would say under counterfactual
situations is always reliable, and that any alleged unreliable
intuitions will turn out to be unacknowledged equivocations, then
we would rightly insist on support for these claims. We have already
seen above an attempt to rescue a proposed method of identifying
analytic truths by explaining away falsifying illustrations as instances
of meaning-change; the same rescuing device is being invoked here. We
are being told that a criterial feature could be prophetically
surrendered by a speaker only if the meaning of the term in question had
changed. A speaker’s intuitions about what he would say in anomalous
situations is fallible, then, only if there has been an alternation of
meanings.
But, we must ask in reply, how can such a claim be supported? Can we
clearly isolate and identify the cases which are changes in meaning? To
do so would presuppose some technique for determining meaning-change
which is independent of the speaker’s intuitions about what he
would say. However, if a standard for meaning-change could be found
independent of these intuited answers, the appeal to intuitions about
what-the-speaker-would-say would be superfluous. And if we do not
have this independent technique, then the identification of
meaning-change will rest precisely on the same appeal to intuition which
allegedly supports the criterion/symptom distinction—which is obviously
circular. As a matter of fact, a characterization of the distinction
between logical and empirical features of a word’s correct usage, a
characterization which is independent of an appeal to speaker’s
intuitions about counterfactual situations, has not been set forth.
(Recall, also, that it was indicated previously how difficult it is to
decide what responses to anomalous situations—e.g., cats being automata
rather than animals—should be taken as changes in belief, and which
should be taken as changes in meaning.) Without an independent
criterion of equivocation, there is no reason to suppose that a
speaker’s knowledge of his language actually equips him to answer
counterfactual questions accurately. A speaker’s claims about his
hypothetical, future, linguistic behavior has no special freedom from
disconfir-mation. Therefore, another popular attempt to dis-tinguish
analytic truths from synthetic truths must be dismissed as inadequate.
Apart from the above discussion we can quickly and easily see why the
previous proposal had to fail. Analytic truths, we were told, were to
be identified as those statements which asserted the single-criterion of
a particular word (the subject of the statement); moreover, a criterion
had to be taken as a necessary condition for the correct use of
the word in question. Hence the ability to distinguish analytic truths
relied on the ability to discern necessary conditions. However,
originally analyticity had been introduced to explicate necessity. With
the previous proposal we have actually taken a roundabout way to close a
large circle. It has been simply assumed that there are no synthetic
necessary conditions for the proper use of a word; thus necessity and
analyticity could be illusively used to explain each other.
Both of the foregoing attempts to explicate analyticity have, in the
long run, reduced to appeals to counterfactual conditions. This in
itself indicates the weakness of the two proposed ways of identifying
analytic truths (viz., criteria-inclusion, or single-criterion). To
rest your explanation of analytic truths on the use of counterfactual
conditions is inadequate because the latter are just as much in need of
explication as the former. The statement of counterfactual conditionals
is customarily used to explicate dispositions or tendencies—in the case
at hand, the tendency to use expressions in a certain way; they are
supposed to help us determine what people (or things) would have done
in circumstances which have not actually occurred. Hence a
counter-factual conditional statement has the usual “if . . . then”
form; however, the antecedent is false (as is evident from context or by
the use of the subjunctive mood). For instance, “If the gun had been
loaded, then the duck would be dead.” Now the problem is that of
providing an analysis of such statements which accounts for their
conditional element (the sense in which the consequent follows from
the antecedent), which makes clear what is involved in finding out
(determining) that they are true or false, and which does not utilize
irreducible (nonexplicable) modal notions such as possibility
and necessity (since they are objectionable to empiricism). This
problem of analyzing counterfactual conditionals is especially acute in
cases where the counterfactual antecedent is a supposition which
contravenes our beliefs (e.g., “If gravity did not hold on earth . . .
.”
A simple truth-functional analysis (where the truth-value of the logical
connective is uniquely determined by only the truth-values of the
variables—the place markers in a logical formula which name expressions
cannot be adequate for counterfactual conditionals, for they are used in
the material sense. This is unlike the everyday use of “if . . . then”
because the material sense does not determine the truth of the
conditional on the basis of the interrelations between the senses of the
component sentences, but solely on the basis of the truth-values of the
components. Hence the conditional connective in formal logic (“If. . .
then”) is true under a given interpretation if either the
antecedent is false or the consequent is true. In this case,
every counterfactual conditional statement would be true since they
all have false antecedents: e.g., “If the gun had been loaded, the duck
would be dead” or ”. . . the duck would not be dead.” Both a statement
and its contradiction would be true. However, counterfactual
conditio-nals are used in philosophy in the sense that a given
antecedent will lead to only one determined consequent and not
its contradiction. Thus we must look for something other than a
truth-functional analysis of counterfactual conditionals.
It has been suggested that counterfactual conditionals are asserted on
the strength of certain presuppositions. That is, these statements are
really more complex than they seem on the surface. Specifically,
counterfactual conditionals are statements about what can be deduced
(viz., the consequent) from a set of statements when the
antecedent is added to the set as a supposition. Hereby
nothing turns upon the truth or falsity of the antecedent, just as long
as it is consistent with the set of presupposed statements. However,
which set of statements is to be presupposed? In order for the
antecedent to be consistent with the set of presuppositions, the set
will have to exclude some of the speaker’s beliefs, for
the antecedent will ex hypothesis, as counterfactual, always be
inconsistent with one’s set of beliefs (statements taken to be factual).
So then, in the nature of the case counterfactual conditionals will be
ambiguous. One cannot decide that one state of affairs is the
only possible one in accord with a false supposition, for whatever
interpretation is given, that supposition will conflict with some
other beliefs of the speaker. For the speaker to suppose the false
antecedent, then, will call for him to alter other relevant beliefs, and
this alternation will require extralogical interpretation and
selection.
When someone supposes a statement which is contrary to fact, there will
be at least two other statements which he believes and which are
relevant to the counterfactual statement; these three will form an
inconsistent triad. Some means must be found for saying which of the
two believed statements will have to be excluded on the acceptance of
the counterfactual. But there are no universally accepted or obvious
grounds for such a decision; an impartial case cannot be made out
for preferring the exclusion of one belief to the exclusion of the
other. Therefore, when we ask someone what the consequence of supposing
some counterfactual statement would be, his answer will reveal which of
two beliefs he takes as fixed and which he takes as more
dispensable than the other. Taken a common example. The Greek gods
were deemed immortal, and Apollo was numbered among the gods. Now then,
for someone holding these two beliefs, what would follow from
supposing that Apollo were a man? One person might say, “If Apollo were
a man, then Apollo would be mortal”; however, someone else could equally
say, “If Apollo were a man, then one man would be immortal.” The
decision between the former counterfactual conditional and the latter
counterfactual conditional will depend on one’s life context, his
presuppositions, his hierarchy of certainties; that is, it will depend
on which of his beliefs (about the gods, or about man) will be taken as
more firmly entrenched than the other. There is no easy, neutral, or
universally evident way to settle disputes over which counterfactual
conditional is the appropriate one for a given supposition. You surely
cannot tell simply by examining your language!
We conclude, then, that if the explication of analyticity rests on the
use of counterfactual conditionals, the explication will not enable us
to pick out the analytic truths from the synthetic truths with any
degree of assurance. Indeed, the selection will be determined by one’s
structure (or ordering) of beliefs. In an attempt to rescue the move to
counterfactual conditionals one might interpret them, not as statements
but as incomplete arguments which are completed by a set of statements
that sustain the conditional without actually implying
it. That is, if we have good reason for accepting a set of statements,
and if this set does not undermine the antecedent of a counterfactual
conditional but sustains the (whole) conditional statement, then the
counterfactual conditional can be advanced. Well, then, when do we have
good reasons for accepting the above mentioned set of presuppositions
(which, in turn, could sustain the conditional statement)? The answer
to this question, we are told, will ultimately rest on the resolution of
the problem of induction. But notice where this brings us in our
discussion. To support analytic truths by appealing to counterfactual
conditionals is to appeal to an argument which will have to be
inductively convincing—which is just to say that analytic truths are
not very distinct from synthetic truths after all!
9. Null factual component. A final attempt to distinguish
analytic from synthetic truths which aims to preclude synthetic a
priori statements is associated with logical positivism
(reductionism) and the verificationist theory of meaning. According to
it sentences can be classified into two categories: those whose truth
can be determined by an analysis of the sentence itself, and those whose
truth can be determined only extralinguistically. The former class of
statements are true in virtue of logical form and meaning
relations among the predicates used. (They can be known with absolute
certainty, but unfortunately they do not tell us anything interesting
about the world.) The present thesis now needs to explain its approach
to meaning, an approach which will aim to make meaning depend upon sense
experience.
According to the popular tradition, statements can be analyzed into a
linguistic component and an extralinguistic factual component (which is
circumscribed by a range of confirmatory experiences). A statement is
meaningful if and only if it is either analytic or empirically
verifiable; in the latter case the statement’s truth of falsity would
make a possible difference to experience, whereas in the former case the
statement’s truth is trivial. The specific meaning of a statement is
the procedure followed to verify it, the empirical method used to
confirm or infirm it. An analytic statement, then, is a statement which
is confirmed no matter what; in it the linguistic component is all that
matters in determining its truth. The present thesis holds that two
expressions are synonymous if and only if they are alike in their method
of empirical confirmation. Thus a statement would be analytic if it
were synonymous with a logically true statement. The preceding proposal
for distinguishing analytic truth from synthetic truths will thus depend
for its cogency on the verificationist theory of meaning and on
reductionism (i.e., the view that any meaningful synthetic statement can
be expressed in observation terms or rewritten into an analysis of the
experience needed to confirm it empirically). On both counts the present
view will be found wanting.
Verificationism says that a synthetic truth is meaningful if and only if
it can (in a specific fashion) be empirically confirmed or infirmed; any
other true statement which lacks this specific
verification-procedure is analytic. This immediately raises the
question of which methods of verification are to be accepted, and how
conclusive the verification or falsification must be. Vagueness at this
point will erase any sharp analytic/synthetic distinction. There is
also a question about the status of the verificationist principle
itself. If the principle is not empirically confirmed (which it is
not), then it would require that itself be viewed as a trivial
definition; since its advocates are not inclined to accept this
alternative, the principle is either meaningless or a rationalization of
prejudice. Beyond these initial troubles, however, is the fact that the
crucial attribute, “verifiable,” has not been defined in such a way that
any statement whatsoever is precluded from being a meaningful, synthetic
statement.
In his first edition of Language, Truth and Logic, (New York:
Dover, 2nd ed., 1952) A.J. Ayer held that, where an experiential or
observation statement is one which records an actual or possible
observation, a meaningful statement is such that “some experiential
propositions can be deduced from it in conjunction with certain other
premises without being deducible from those other premises alone” (p.
39). However, it was quickly pointed out that we can take any statement
whatsoever, “S,” and place it in conjunction with “If S, then O1”
(where “O” represents an obser-vation statement). When we do this, “O1”
follows from the conjunction, and yet is not deducible from “S” or from
“If S, then O1” separately. Conse-quently, on this
explication of verifiability, any statement could count as
verifiable in a specific fashion (even analytic truths!).
In an effort to remedy this situation, Ayer restated his verifiability
criterion in a second edition of his text. There he proposed that a
meaningful, synthetic statement is one which is either directly or
indirectly verifiable, where these two modes of verification are
understood in this way:
A statement is directly verifiable if it is either itself an
observation-statement, or is such that in conjunction with one or more
observation-statements it entails at least one observation-statement
which is not deducible from these other premises alone; and . . . a
statement is indirectly verifiable if it satisfies the following
conditions: first, that in conjunction with certain other premises it
entails one or more directly verifiable statements which are not
deducible from these other premises alone; and secondly, that these
other premises do not include any statement that is not either analytic,
or directly verifiable, or capable of being independently established as
indirectly verifiable (p. 13).
This second attempt, however, fares no better than the first, for it
permits any statement (“S”) or its negation (“not-S”) to be meaningful
or verifiable. Now then, let us take as premise 1: “(not-O1
and O2) or (O3 and not-S)” and as premise 2: “O1.”
Neither of these premises will indepen-dently entail “(O3
and not-S),” whereas the con-junction of the two premises does entail
it—which means that “not-S” is directly verifiable. Now let us take as
premise 3: “S.” Premise 1 in con-junction with premise 3 entails
“(not-O1 and O2).” Hence “S” satisfies the
criteria for indirect verifiability just in case premise 1 does not
independently entail “(not-O1 and O2).” If
premise 1 does entail this conclusion, then either of the
dis-juncts in premise 1 must entail the conclusion (according to
standard logical laws). And thus if the second disjunct of
premise 1 entails the mentioned conclusion (which happens to be
the first disjunct), then “not-S” is directly verifiable. Hence the
second disjunct of premise 1 (“O3 and not-S”) does not
independently entail the mentioned conclusion, “not-O1
and O2” (i.e., the first disjunct of premise 1). Therefore,
we see that “S” is indirectly verifiable and “not-S” is directly
verifiable—which is just to say that any and every statement can pass
the verifiability criterion. And in that case the verifiability
criterion will not enable us to draw the boundary between analytic and
synthetic truths.
We turn then from verifiability to reductionism. Forgetting the above
inadequacy of the verificationist theory of meaning, let us now ask just
what is the supposed relation between a statement and the
experiences which contribute to or detract from its confirmation?
One must know this if he is to understand the positivist view of
statement synonymy and thereby its approach to analyticity. Two answers
have been suggested. First, it has been maintained that every
meaningful statement is translatable into a statement about immediate
experience; that is, a meaningful synthetic statement is actually a
direct report of some sense experience. It becomes incumbent upon this
position, then, to specify a sense-datum language into which all
significant discourse can be translated statement by statement. Rudolf
Carnap best attempted to do this in a specific and serious fashion.
However, his language was not strictly a sense-datum language; it
included the notions of logic and pure mathematics, and his ontology
embraced sets (and sets of sets). Further, even his translation of the
simplest significant statements about the physical world were left in a
sketchy condition. Moreover, most importantly, Carnap’s reductionism
could not do what it was required to do. A paradigmatic statement of
his treatment of attributes was “Quality q is at point-instant x;y;z;t”
(thereby specifying a three-dimensional and temporal location for the
attribute). But the connective “is at” remained an undefined, alien
expression which was not eliminated in favor of sense-data. Hence the
reduction necessary to account for synonymy and (thereby) analyticity
could not be carried out.
Consequently a second and common answer to the question posed in
the above paragraph has been advanced, saying that each synthetic
statement has associated with it a unique range of possible sensory
events such that their occurrence tends to confirm the statement, while
another unique range of experiences tends to detract from the
statement’s confirmation. This is, of course, the central thrust of the
verificationist theory of meaning. Now if it is significant or
meaningful to speak of single statements being confirmed or falsified
one by one, in isolation from other statements, then it can seem
significant to speak of a kind of statement which is vacuously confirmed
whatever may happen—that is, an analytic statement. Reductionism
amounts to the view that every meaningful statement if
confirmable (can be “verified”) by a particular set of
experiences or by every set of experiences; the former are
synthetic statements, while the latter are analytic. In the analytic
statements the factual component is empty and the linguistic component
is everything.
However, to state matters this way is simply to restate the
analytic/synthetic distinction all over again—to restate what was to be
explained in the first place. We are still left wondering how one goes
about separating the linguistic component from the factual
component in any particular statement in a natural language. It has not
yet been explained what it is for the factual component in a statement
to be null, or how it is that single synthetic statements can be
empirically confirmed. Indeed, the reductionist scheme collapses
altogether once we recognize the fact that, as Quine puts it, “our
statements about the external world face the tribunal of sense
experience not individually but only as a corporate body” (“Two Dogmas
of Empiricism,” From a Logical Point of View. 2nd ed., New York:
Harper Torchbooks, 1961, p. 41).
Positivistic reductionism is at odds with the fact that whatever our
experience may be, it is always in principle possible to hold onto or
reject any particular statement—just as long as we are prepared to make
extensive enough revisions elsewhere in our system of beliefs. No
single statement is empirically tested in isolation from others, and
hence any statement can be made immune from revision if the person
holding that statement is willing to make adjustments in other beliefs
relevant to the statement. (Recall examples given above regarding cats
being automata, Apollo being a man, the experience of logically
contradictory things etc.) It is possible for a man to maintain some
particular belief in the face of all kinds of falsifying evidence; no
matter what happens the belief can stand, for the man always has the
option of adjusting other statements of his system in order to account
for the counter-evidence without touching the privileged belief.
For instance, if his tactile sense tells a man that a reed which is
extending above the surface of the pool of water in which it grows is
straight, the falsifying evidence of his visual sense (the reed appears
either crooked or broken) will usually not push him from his belief that
the reed is straight. The tactile impression is granted a privileged
status, and the visual impression is accounted for in various ways
(e.g., light refraction, etc.). However, it would be just as possible
for a man to maintain that the reed is really crooked, and then account
for his tactile impression in various ways. His system of beliefs faces
experience as a corporate whole, and revision can strike anywhere;
beliefs do not undergo empirical scrutiny one by one. If the thing of
which a man is most certain is that monkeys eat bananas, that belief
will not be tested in isolation of other claims. It is for that reason
that a man can devise a reply to any counter-example or empirical
experience which might tend to suggest that some monkeys do not
eat bananas; the man can revise other beliefs instead of his claim about
monkeys and bananas—even going to the extreme of appealing to
hallucination or to a wicked plot to deceive him, etc.
Positivism was misled by thinking that an isolated statement has a
particular, unique correlate in sense experience which necessarily and
sufficiently confirms or infirms it. However, because no particular
experience is necessarily linked with some particular statement, it is
misleading to speak of the empirical content of an individual
statement and to speak of a particular experience (or set of
experiences) sufficiently confirming or falsifying a corresponding
statement. Because our belief-systems are under-determined by empirical
observation, incompatible systems can often accommodate the same set of
direct observations equally well—even though the response to some
particular experience varies. Experience does not exhaustively regulate
our knowledge-claims; nor could it do so. A conflict between
experience and our beliefs will occasion a readjustment somewhere in the
body of our epistemic commitments, but counter-evidence does not in
itself show which of the statements in our network of beliefs
must be altered. There is great latitude of choice as to which
statements to modify in the face of a single contrary experience. Thus
it is a theory as a whole, not any one of its constituent claims, that
is subject to verifying evidence or counter-evidence in observational
experience. From person to person the adjusted portion of a theory can
vary, from its observation statements (dismissed as illusion) to its
logical laws (now admitting of exceptions). The statements of a system
will be inter-connected in various ways, and thus a modification at one
point will occasion changes elsewhere as well. For these reasons it is
mistaken to think that statements can be tested one by one in some
indisputable fashion.
We would conclude then that it is wrong to seek a boundary between
statements which are verified by a particular experience and
those which are true come what may (i.e., verified by every experience).
Any statement can be treated as subject to revision, whether it
be a law of logic (e.g., the law of excluded middle, revised in order to
simplify quantum mechanics) or the central paradigms of science (e.g.,
Kepler’s revolution against Ptolemy, Einstein’s over Newton, Darwin’s
over Aristotle, etc.). Any statement can be treated as immune from
revision (confirmed by every experience); it can be held as true
“come what may,” just as long as we make drastic enough adjustments
elsewhere in the system. Even a direct observation statement can be
held as true in the face of recalcitrant experience by pleading
hallucination or amending your logical laws, etc. Consequently, no
statement is “analytic” to the exclusion of others. Within any
particular system it is possible to distinguish the firmly entrenched
statements which we are extremely reluctant to give up from those which
we are more willing and ready to abandon under certain experiential
conditions. However, there are no statements which in themselves depend
for their truth on a direct confrontation with experience, and
there are none which in themselves derive their truth from language
alone. There are simply more and less entrenched statements, more and
less significant statements, etc. Therefore, it is an illusion to
distinguish between individual statements which are immune from
revision (analytic) and those which are subject to revision
(synthetic). The final attempt to distinguish analytic from synthetic
truths must be dismissed as inadequate.
5.
Conclusion and Consequences
It is now apparent that the attempt to find truth which is insulated
from the world of contingency and uncertainty by classifying some
statements as analytic (and hence necessary and a priori) is a
misguided philosophical maneuver. The idea that truths can be divided
into two classes namely, empirically significant yet contingent, or
trivial yet necessary and that infallibility pertains only to
conventions of language is an insupportable dogma. The
analytic/synthetic distinction is not lucid or defensible; it has not
been adequately explicated, and thus its application lacks
justification.
In the course of arriving at this conclusion about a pervasive
philosophical prejudice we have uncovered many valuable insights of
epistemo-logical significance. They bear repeating. Every thinker will
grant a preferred status to some of his beliefs or knowledge-claims;
such statements in his system of thought are privileged in that they are
not allowed to be overthrown by isolated experimentation or simple
experience. Within a particular conceptual scheme there will be central
paradigms of truth. These will be accepted as immune from revision as
long as the conceptual scheme remains unchanged. Little obvious
argumentation is offered for these paradigms, but they are not arbitrary
or insupportable. These are substantive truths, even though they
function somewhat like stipulated truths. These basic convictions or
presuppositions are not true in virtue of language, or words, or
definitions alone; they have factual content and significance. What a
man will deem rational to give up will be relative to his belief system
and its central paradigms. Men who are taken to be “rational” will
nevertheless differ among themselves on which truths should be
presupposed; differences of opinion evidence themselves even with
respect to allegedly necessary and “analytic” truths. Conflicts are
even possible over the truths of logic. More broadly, different
fundamental, central, or basic beliefs will bring with the various
standards of reasonableness; another thinker is thought to be
“irrational” because his outlook does not square with one’s own basic
beliefs or presuppositions. Of the beliefs in one’s system of thought
some will be more, some less necessary; some beliefs will be treated as
more fixed or entrenched than others, and likewise some beliefs will be
given up more easily than others. The statements of one’s system of
thought will not be completely determined by empirical procedures, and
they will not be tested one by one, in isolation of other statements.
When a central conviction or presupposition is altered, it will often
be difficult to say whether this represents a change of belief or a
change of meaning; at the most basic level in one’s thought meanings and
beliefs are not sharply separated.
What the above observations amount to is this. Different people will set
apart different truths which are to be accepted under any and all
circumstances; these statements will be a subset of the whole system of
beliefs. Because such statements are centrally located within one’s
network of beliefs they will strongly resist revision; within that
conceptual system they will be given special treatment. They represent
one’s epistemological priorities or what he takes as logically
primitive. These principles are employed in making predictions, in
judging other claims, in relating various beliefs to one another, etc.
One’s system of thought as a corporate whole encounters the
tribunal of experience, and recalcitrant or falsifying experience
will force revisions somewhere in the system. However there is no
set portion of the system which must be revised in response to some set
experience; which beliefs will undergo alteration will depend on the
presuppositions which are being used—the presuppositions being the very
least likely beliefs to be revised. When the presuppositions are
abandoned we have, not just a change in attitude toward particular
facts, but rather an extensive shift in one’s concepts, standards, or
paradigms.
Simply given a true statement in some natural language, who can say
whether it should rank as immune from revision or not? Nobody can tell
just from the isolated statement itself. It all depends on its place in
a network of thought, its position in one’s conceptual system. Which
statements should be taken as certain and granted revisionary immunity
cannot be determined simply by the notations of a language (as has been
erroneously thought with respect to “analytic” truths). Which points of
truth can be properly taken as the firmly entrenched beliefs of a system
of thought? That is like asking which geographical points in a country
can be taken as starting points for a trip. The entrenched truths will
vary from person to person, relative to one’s manner of life, goals,
experience, etc. Any statement can be treated as immune from
revision—immune no matter what a person observes (provided appropriate
adjustments are made elsewhere in his conceptual system). Deciding which
statements among the competing claims should be and properly
are immune from revision is one of the most significant and
difficult tasks of philosophy; the matter cannot be easily resolved by
appeal to a muddled distinction between analytic and synthetic truths.
The human epistemological condition, then, is characterized by adherence
to presuppositions which resist falsification and yet cannot be
characterized as trivial. People have beliefs to which they will cling
though everything else fails. Their thoughts and lives are governed by
such presuppositional beliefs; whatever is inconsistent with them is to
be eliminated. The presuppositions of a system of thought will be the
standard of truth and evidence in it. They will reflect a person’s most
basic commitments and will affect all areas of his life. Therefore,
even though they will be taken as certain (and not simply probable),
they will be far from trivial or simply conventional. Indeed, when all
of the superficial cosmetic of objective and unemotional academics is
stripped away, these presuppositions will be seen as matters of passion
and highest personal concern. The meaning of one’s life is usually tied
up with his presuppositional beliefs, and consequently they make a
difference in all of his concerns, behavior, thoughts, etc. Revisionary
immunity here does not imply that such presuppositions are
informationally vacuous or insignificant! It is just because these
beliefs are granted revisionary immunity that they are
significant, substantive, and far reaching in their effects.
It should be noted in passing that there are many degrees of
revisionary immunity exhibited among the beliefs of one’s system of
thought. That is, some beliefs are more, some less, firmly entrenched
in our thinking. Each belief governs one’s behavior and reasoning to
some extent, but those which are least extensive in their effect and
least firmly entrenched will be those which are the first to be revised
or repudiated when his system of thought is challenged by
counter-evidence. Every new experience and all new knowledge will be
fit into our system of thought in such a way that a minimum of
intellectual labor and of life-style alteration is necessary. The most
firmly entrenched of our beliefs will call for the greatest revisions
throughout the system of thought and behavior, and thus they are
relinquished last of all. One will require more than usual
counter-evidence before he will abandon his presuppositional
commitments—if he will abandon them at all (rather than suspecting the
alleged “evidence” in some way instead). Furthermore, it should be
noted that two people can have the same presupposition and nevertheless
develop differing systems of thought on the basis of it; this is because
their secondary commitments, experiences, philosophical abilities,
training and social influences will be different. Presuppositions have
the greatest control over a system of thought, but they are not the only
factor in that system’s development. Likewise, people who share
presuppositions can respond to counter-evidence in different ways; the
desire for simplicity, minimal disturbance, and social acceptability can
lead people to seek consistency for their thoughts in different
directions.
6.
Analyticity and Apologetics
The above study and its conclusions have a special bearing on Christian
apologetics. In the first place, the popular notion that a statement is
knowable only by empirical experience or by definition becomes untenable
with the failure to draw a cogent and sharp distinction between analytic
and synthetic truths. The fact is that our substantive beliefs are
underdetermined by empirical experience. Human knowledge has a
pervasively theoretical (or theory-governed) rather than observational
nature. This is not to underestimate the place of empiricism in
epistemology or to say that knowledge can be completely divorced from
empirical experience. But it is to recognize that empirical procedures
do not, and could not, determine and justify all of a person’s
knowledge-claims. One’s system of thought is regulated by
presuppositions which are more than trivial definitions and which
surpass the warrant of direct observational experience. There
are statements which even the empiricist will claim to “know” and
nevertheless cannot be classified as either “analytic” or “synthetic”
(e.g., “There is a past,” the laws of natural science, the principles of
logic, moral obligations pertaining to honest scholarship, etc.).
The two most popular polemics against Christianity in twentieth century
philosophy have rested on the analytic/synthetic distinction.
Verificationalism declared that meaningful statements were either
analytic or empirically verified (synthetic); however, the numerous
problems afflicting this attitude have been rehearsed above. The
distinction it relies upon is obscure, the standard of verifiability is
such that any statement can pass its test, and the positivist criterion
cannot pass its own requirement. Seeing this, some philosophers
continued to charge Christianity with meaninglessness, saying that its
adherents are reluctant to allow any experience to falsify its claims.
Because nothing is allowed to count as a disproof of Christianity’s
assertions, they are vacuous or meaningless, it was claimed. Because
nothing is at stake for the believer, nothing is really being asserted.
However, it turns out that in actuality every person has
presuppositions which function in exactly the same way—even the
philosopher who attacks the faith. These presuppositions are such that,
aside from a theoretical revolution in one’s thought, no evidence is
allowed to count against them; they are held immune from revision. Yet
these presuppositions are anything but trivial or vacuous; they are
highly significant and make all the difference in the world. The
Christian can thus hold to the infallibility of Scripture in the face of
counter argumentation and (alleged) evidence without thereby
reducing the Bible’s claims to ana-lytic trivia. What Scripture says is
“synthetically” true, even though it is “analytically” certain. The
breakdown of the analytic/synthetic distinction prevents the
falsification-polemic against Chris-tianity from having any force
(unless it undermines all presuppositions, anti-Christian as well
as Chris-tian). We are not compelled to choose between a merely
probable and fallible set of empirical claims and a meaningless or
trivial metaphysic. There-fore, neither verificationalism nor the
argument from falsification conditions are telling against the Christian
faith; all philosophers have presupposi-tions which defy the
analytic/synthetic distinction. And because that distinction is obscure
and unjustifiably applied, such presuppositions are in no jeopardy.
In the final analysis it turns out that everyone treats some
statements as “analytic.” That is, certain truths are thought of
as carrying their evidence inherently and are granted epistemolo-gical
primacy or revisionary immunity. These pre-suppositional truths control
our concept of evidence and verification; they are paradigmatic and
criterial. They even govern what we deem to be possible (remember, to
deny an “analytic” truth is to state what is impossible, for “analytic”
statements are necessarily true). Any reasoning or evidence
which is adduced in order to refute these presuppositions is itself
called into question; revisions will be made anywhere else in one’s
system of thought before he will relinquish his entrenched beliefs. To
treat a statement as “analytic” means that it has ultimate
authority in one’s thinking and governs his overall perspective. To
treat the statement as a presupposition is not to make it uninformative
or meaningless. To utilize an “analytic” truth (or presupposition) is
to show that one understands its full meaning, and meaning
is more than linguistic notations; it is part of a way of life. People,
social customs, attitudes, practical use, and much more are necessary to
understand an expression in language. When one accepts a presupposition
(or a truth treated as “analytic”) he makes a way of speaking, a context
in life, and an application his own. That is why a particular usage can
be rejected without involving yourself in self-contradiction. To insist
that “Business in not business” is not self-contradictory;
rather, it is a rejection of a particular outlook and way of life. There
are no sentences which derive their truth from language alone. The
statements which a person treats as “analytic,” or presupposes, reveal
his basic life commitments. Because everyone has these basic beliefs,
and because of the function such presuppositions have in one’s system of
thought, apologetics will ultimately become a matter of argumentation at
this fundamental level.
Finally, the failure of the analytic/synthetic distinction indicates
that the consequences of holding to it which were enumerated earlier
should be seriously challenged. Their repudiation has noteworthy
implications for the practice of Christian apologetics. It now appears
that statements are not tested one by one or considered in isolation;
rather, systems of beliefs as a whole are subjected to scrutiny.
Apologetics is not a matter of arguing over a few individual statements
here and there, but instead whole worldviews are in collision. The
apologist’s method of defending the faith, then, must aim to undermine
the unbeliever’s corporate system of thought and establish the Christian
perspective as a whole.
Next, no statement is automatically immune from revision; such immunity
is granted in the context of a system of thought. Necessary truth
cannot be discovered in some impersonal world of language, and no truth
is insulated from the experiential world. The Christian will seek
infallibility in the word of the living and true, personal God;
His truth makes a great difference to one’s thinking and experience. It
is immune from revision, not because of the nature of language in some
sense, but because of the nature of God Himself. Revisionary immunity
can be found only in God’s personal communication, and it is misplaced
when located in the trivial conventions of man. The analytic/synthetic
distinction has had the effect of sending men in search for certainty
which is independent of God. Furthermore, by now we would recognize the
mistake in holding that statements which are granted an immunity from
revision must be non-informative and make no difference to the world of
experience. To treat a statement as firmly entrenched is not to empty
it of its significance or content.
Moreover, not all statements are treated on an equal footing and
uniformly subjected to the standards of empirical evidence. Some
statements in a system of thought are more basic than others and are
evaluated in a different manner than others; they are considered to have
a special claim on our adherence because they regulate our standards for
evaluating further statements. Empirical considerations are never final
in the testing and adoption of such basic statements, but in fact
empirical considerations actually rest on other commitments, are
governed and evaluated by more basic presuppositions, and cannot be
expected in themselves to compel a revision or replacement of one’s
presuppositions. The truths which one takes as paradigmatic and immune
from revision will govern his epistemological standards of evidence,
justification, etc. Consequently, the apologist is misled if he
attempts to make em-pirical argumentation of philosophical methodism
decisive for his defense of the faith. Only a presuppositional
apologetic will finally be adequate to the needs of the situation. In
principle, logic and experience can be rendered impotent at any
particular point by the use of appropriate presuppositions, and thus if
our evidence and reasoning are to have force they will have to be rooted
in considerations which are more central or fundamental. It is obvious
that in practice the claims which are made for empirical or logical
arguments and their supposed decisiveness are exaggerated; these claims
would fare well in the presence of the traditional analytic/synthetic
distinction. However, that distinction does not withstand the challenge
for explication.
With the sharp distinction between analytic and synthetic truths being
repudiated, philosophy is no longer sharply separated from science
(i.e., a concern with essences or meanings is not divorced from a
concern with facts). Ontological questions come to be on a par with
questions of natural science, for the boundary between the two is
blurred by the presuppositional nature of belief-systems. Scientific
theories and metaphysical claims are involved in the centralities of a
conceptual system, and neither has a prior claim to credibility. An
absolute distinction between analytic and synthetic truths would give a
special status to science; however, the failure of that distinction
indicates that neither science nor metaphysics is any more or less a
matter of “fact” than the other. Considerations of truth and knowledge
are a function of presuppositions, and the nature of those
presuppositions could be naturalistic for one man but supernaturalistic
for another. The resolution of their disagreement cannot be simply
consigned to science and logic, unless one is satisfied with veiled
question-begging.
Knowledge is not simply a matter of observable phenomena and
definitions. For the apologist to think that it is, he will have a
deeply distorted conception of what is required of him in defending the
faith. The knowing process and the objects of knowledge themselves will
be misconceived. Clarifying the nature of your presupposed beliefs is
the most important step toward a satisfactory apologetic. We must
become clear about the role played by presuppositional truths in our
system of thought before we can gain an adequate view of the world,
knowledge, and disagreements between various thinkers. One’s view of
what it is to have and to gain a particular view about the world,
man, and God will greatly affect his very view itself of the
world, man, and God. Hence the apologist should be very mindful of the
implications of the breakdown of the analytic/synthetic distinction.
That failure shows that revisionary immunity is a function of
presuppositions and thus that the defense of the faith (defending its
immunity from revision) must be presuppositional in character.
Greg L. Bahnsen page