Process, Insight, and Empirical Method
An
Argument for the Compatibility of the Philosophies of Alfred North
Whitehead and Bernard J. F. Lonergan and Its Implications for
Foundational Theology.
A
Dissertation Submitted to the Faculty of the Divinity School, The
University of Chicago, for the Degree of Doctor of Philosophy
December 1983
Thomas Hosinski, C.S.C.
Chapter I:
Whitehead’s and Lonergan’s Interpretations of Empirical Scientific
Method and Philosophic Method [continued]
Lonergan’s Interpretation of Scientific and Philosophic Method
The Method of Empirical Science
If
the problem confronting us in describing Whitehead’s analysis of
empirical scientific method was the lack of a single sustained analysis
of scientific method in Whitehead’s writings, the opposite problem
confronts us when describing Lonergan’s analysis. He devotes the first
five chapters of Insight
[Ibid., pp. 3-172.]
to a
thorough, closely reasoned analysis of scientific method, and if I am to
keep this study within reasonable limits, I can do little more than
provide a summary of the major features of his interpretation. I will
begin this section with a brief discussion of Lonergan’s summary
statement of his interpretation, and then proceed to fill in that
summary view by reference to the detailed analysis in Insight.
The Summary View
The
clearest, most easily understood summary of Lonergan’s interrpretation
of empirical scientific method occurs in the first chapter of Method
in Theology.
Method,
pp. 4-6. The first chapter of Method attempts to summarize those
conclusions of Insight necessary for basing Lonergan’s
interpretation of method in theology.
. .
. in the natural sciences method inculcates a spirit of inquiry and
inquiries recur. It insists on accurate observation and description:
both observations and descriptions recur. Above all it praises
discovery and discoveries recur. It demands the formulation of
discoveries in hypotheses, and hypotheses recur. It requires the
deduction of the implications of hypotheses, and deductions recur. It
keeps urging that experiments be devised and performed to check the
implications of hypotheses against observable fact, and such processes
of experimentation recur.
These distinct. and recurrent operations are related. Inquiry
transforms mere experiencing into the scrutiny of observation. What is
observed is pinned down by description. Contrasting descriptions give
rise to problems, and problems are solved by discoveries. What is
discovered is expressed in a hypothesis. From the hypothesis are deduced
its implications, and these suggest experiments to be performed. So the
many operations are related; the relations form a pattern; and the
pattern defines the right way of going about a scientific investigation.
Finally, the results of investigations are cumulative and progressive.
For the process of experimentation yields new data, new observations,
new descriptions that may or may not confirm the hypothesis that is
being tested. In so far as they are confirmatory, they reveal that the
investigation is not altogether on the wrong track. In so far as they
are not confirmatory, they lead to a modification of the hypothesis and,
in the limit, to new discovery, new hypothesis, new deduction, and new
experiments. The wheel of method not only turns but also rolls along.
The field of observed data keeps broadening. New discoveries are added
to old. New hypotheses and theories express not only the new insights
but also all that was valid in the old, to give method its cumulative
character and, to engender the conviction that, however remote may still
be the goal of the complete explanation of all phenomena, at least we
now are nearer to it than we were.
[Ibid., pp. 4-5.]
This
passage gives us the basic framework of Lonergan’s interpretation of
empirical scientific method, and some attention to its major features
will greatly facilitate our later discussion.
First, there are a few general points to be noted about empirical
scientific method as an activity. It is clear that Lonergan interprets
that method as an activity composed of several distinct operations which
recur, and recur in a definite pattern of relationship. Hence empirical
scientific method has a structure, but it is a dynamic structure of
distinct operations recurring in a pattern. Further, this pattern of
recurrent operations is normative: it defines the proper way to conduct
the activity of scientific inquiry. I shall have more to say about
these general characteristics of empirical scientific method later; for
now it is enough to note them.
Lonergan interprets empirical scientific method as having four major
stages or moments
Although I will discuss the four major moments of empirical scientific
method in the context of the quotation from ibid., pp. 4-5, I
might note in passing Lonergan’s own summary of these elements,
Insight, p. 79: “On the previous analysis, then, empirical method
involves four distinct elements, namely
(1) the observation of data,
(2) insight into data,
(3) the formulation of the insight or set of insights, and
(4) the verification of the formulation.”
The reader will note that this four-part structure does not exactly
correspond to what Lonergan will later describe as the three levels of
cognitional process (Insight, p. 274). Lonergan there lists
insights and formulations as two elements of the second level of
cognitional process. See Thesis, p. 84.
which are connected by movements or activities of the inquiring mind.
It will facilitate the discussion of this dynamic structure if I
anticipate my later observations to the extent of noting that in
Lonergan’s analysis scientific inquiry is basically the activity of
raising and answering questions on succeedingly higher levels of
consciousness. The first moment in empirical scientific method, then,
can be defined as intelligence questioning experience: what is it that I
am seeing, hearing, tasting, smelling, touching, feeling? The
scientist’s first step in answering such questions is to scrutinize what
is being experienced, to observe, and to describe what is being
observed. Obviously, observation and description, while both operations
of the first major moment of empirical method, are not the same
operation. Observation would have little to guide it were it not for
the requirement that what is being observed be described. The necessity
of observation resulting in a description forces observation to a first
level of acuteness. As Lonergan says in the above quotation, “What is
observed, is pinned down by description.”
Questioning, however, does not cease with description. Description
alone does not explain the data, and contrasting descriptions of the
data to be explained raise problems for understanding. The attempt to
resolve such problems constitutes the second major moment of empirical
method, which Lonergan calls “discovery,” or more frequently, “insight.”
In this moment an understanding has been reached, an answer discovered
to the questions raised following the observation and description of the
data. The mind has been confronted with a problem, and the second major
moment of empirical method is the sudden resolution of that problem,
opening the way to understanding.
Lonergan, of course, has a good deal to say about the elements of
insight, and I will discuss this shortly.
But
if insight is a grasp of the resolution of a problem, if it is
understanding in its initial phase, insight alone is not yet the
expression of understanding, nor is it explanation. The insight or set
of insights must be expressed or, more technically, formulated in an
hypothesis. The hypothesis states in a more generalized form and in
precisely defined language what the understanding grasped in the insight
is. The hypothesis is, in short, the formalized conceptualization of
the insight. The insight: is, by its nature, a private event that is in
an important sense preconceptual.
See Insight, p. 59: “. . . an insight is neither a definition nor
a postulate nor an argument but a preconceptual event.”
If
it is not to remain private, it must be formulated in precise language,
public concepts, and in a general form so that the understanding it has
grasped can be communicated to those who have not had the insight. In
the work of the empirical sciences, this is accomplished by the
formulation of hypotheses. The formulation of hypotheses, then, is
really the formulation of the understanding gained in the insight, and
this constitutes the third major moment or stage in the dynamic of
empirical scientific method. This third moment is connected to the
second moment (insight) by a recurrence of questioning in the inquirer.
How does this insight resolve the problem? How does it explain the
data?
Perhaps an example would be of assistance in explaining the connection
between the second moment of insight and the third moment of hypothesis
formation. Consider Archimedes sitting in the baths of Syracuse,
pondering the problem with which King Hiero had presented him: how to
discover whether a gold crown the king had commissioned was made of pure
gold or not.
This is the example Lonergan uses to discuss the elements of insight.
See ibid., pp. 3-6.
Archimedes has his insight and rushes naked from the baths shouting
“Eureka!” He has grasped how to resolve this problem. But had he not
been able to formulate his understanding in an explanatory hypothesis so
as to communicate it to the king, Archimedes might forever have been
considered an eccentric. He had to be able to answer the king’s
questions, and his own. He had to be able to explain how the insight
would solve the problem. It is because Archimedes was able to formulate
his insight in the principles of hydrostatics later known as specific
gravity and displacement that this particular incident in Syracuse is a
lasting part of the history of science. Archimedes’ private insight
became, with his formulated explanation, a part of human understanding.
But
even the precise formulation of the understanding in an hypothesis does
not terminate the questioning of scientific inquiry. Further questions
arise: Is this understanding correct? Is it so? Is it true? In order
to answer these questions the inquirer proceeds to operations which
connect the third moment of hypothesis formation with the fourth moment
of testing. These operations are deducing the implications of the
hypothesis and forecasting what will happen in certain circumstances
according to the understanding embodied in the hypothesis. These
deductions and forecasts suggest experiments that can be carried out in
order to test the understanding formulated in the hypothesis. Thus the
inquirer moves toward the fourth major moment of empirical scientific
method: testing.
In
this fourth major moment the hypothetical understanding is tested by the
performance of the suggested experiments. The results of the
experiments produce new data, new observations, and new descriptions
which lead the scientist to make a judgment
In the summary passage I am commenting upon, Lonergan does not use the
word “judgment” to describe the conclusion of the fourth moment of
scientific method. However, as is abundantly clear from his other
discussions, judgment is the operation involved at this moment. See
Method, pp. 6-10 and Insight, pp. 271-278.
concerning the hypothetical understanding: the experimental results
either confirm the hypothesis or they do not confirm it (or, we might
add, the results are inconclusive and further testing is required). It
is important to note the way in which Lonergan describes cases in which
the hypothesis is confirmed or verified. In Lonergan’s analysis such
confirmation is a limited form of verification: “In so far as
they are confirmatory, they reveal that the investigation is not
altogether on the wrong track.” There is no question here of absolute
certainty; the judgments are more or less probable, always remaining
open to modification by further data, insights, understandings, and
judgments. In cases where the experimental results lead the scientist
to judge that the hypothesis has not been confirmed, they cause the
scientist to modify the hypothesis or, in cases in which the hypothesis
has been judged to be completely falsified, to abandon the hypothesis
and search for “new discovery, new hypotheses, new deduction, and new
experiments.” In short, the result of the scientist’s judgment in all
cases is to continue the inquiry by a repetition of all the operations,
though now guided and informed by what has been learned in the course of
the inquiry.
Hence Lonergan describes the results of the application of empirical
scientific method as “cumulative and progressive.” It is cumulative
because, as the field of observed data is broadened and as new
discoveries are made beyond the old, “new hypotheses and theories
express not only the new insights but also all that was valid in the old
. . . .” It is progressive because scientists, no matter how deeply
aware they might be of the breadth of our ignorance, are convinced that
they are now at least a little nearer the truth than before. It is in
this connection that Lonergan uses an image, a metaphor, that is
striking in its ability to communicate his interpretation of empirical
scientific method. Lonergan says, “the wheel of method not only turns
but also rolls along.” The activity of method in science is like a
wheel. Empirical method is a structured, patterned thing, and the
operations which constitute the elements of that patterned activity
continually recur, each operation depending on all that have gone
before. But this structured pattern of recurrent operations does not
merely spin in the same place, with a deadening lack of advancement,
like some wheel lifted from the ground; it moves creatively toward the
goal of knowledge, rotating on the axle of inquiry, a relentless
questioning that will not cease until there are no further questions to
be asked, driven by the eros of the human mind to know.
Finally, this method is normative. This pattern of related and
recurrent operations is understood by scientists to be the right way of
conducting a scientific investigation. An inquiry that is not conducted
according to this pattern is not regarded as scientific, nor will the
community of scientists accept any alleged “discoveries” that have not
been formulated and tested in accord with the pattern of empirical
scientific method.
One important element of empirical scientific method Lonergan does not
allude to in this summary is the communal dimension of science as
expressed in its demand for repeatability of performance.
There is one further point to be noted about Lonergan’s summary
description of empirical scientific method. Lonergan is not describing
some specific method of the empirical sciences. Rather, he is
describing the general method of questioning the scientist uses as he or
she pursues an inquiry, the general method of thought that governs the
development, use, and application of all special methods in the
particular sciences.
After the passage quoted at the beginning of this section (Thesis,
p. 56-57), Lonergan goes on to say, “Such, very summarily, is method in
the natural sciences. The account is far indeed from being sufficiently
detailed to guide the natural scientist in his work. At the same time
it is too specific to be transposed to other disciplines.” Method,
p. 5.
This
is not some theoretical model of scientific method drawn up to fit a
prior philosophical theory; it is intended to be a description of how
scientists actually proceed. It is intended to describe the patterned
structure of operations they actually follow in the conduct of their
inquiries.
Finally, Lonergan points out an important characteristic of the
opperations which make up the pattern of empirical scientific method.
These operations are of two different sorts: “logical” and
“non-logical.”
[Method, p. 6.]
“Logical” operations are operations on propositions, terms, and
relationnships. “Non-logical” operations are operations of inquiry,
observation, discovery, experiment, synthesis, and verification.
Lonergan points out that
modern science derives its distinctive character from this grouping
together of logical and non-logical operations. The logical tend to
consolidate what has been achieved. The non-logical keep all achievement
open to further advance. The conjunction of the two results in an open,
ongoing, progressive, and cumulative process.
[Ibid.]
The
importance of the non-logical operations will be discussed in later
sections of my study. For now it is enough to note that they are
present as integral elements of empirical scientific method.
The Detailed Discussion: The Analysis in
Insight
My
discussions in this section will not bear an immediate resemblance to
the summary discussion I have just concluded. This is because I shall
be following the plan of Insight, which begins with a relatively
static account of the elements involved in an insight, and gradually
moves on to higher viewpoints, considering the method of empirical
science in all its dynamism and its activities. It is necessary to
follow the plan of Insight and begin with the relatively static
account because in the first chapter, “Elements,” Lonergan lays the
groundwork for his entire analysis by describing the basic
characteristics of insights and the conditions that stimulate their
occurrence. Before beginning my discussion, and at the risk of sounding
apologetic, I must once again stress that if I am to keep this chapter
within manageable bounds, I can only summarize and highlight the
principal points of Lonergan’s minutely detailed study.
“Elements”: Chapter I of Insight
Using the example of Archimedes’ discovery, Lonergan begins by noting
that insight has five characteristics. Insight
(1)
comes as a release to the tension of inquiry,
(2)
comes suddenly and unexpectedly,
(3) is
a function not of outer circumstances but inner conditions,
(4)
pivots between the concrete and the abstract, and
(5)
passes into the habitual texture of one’s mind. [Insight,
pp. 3-4.]
For
my purposes, just a few comments on characteristics (1), (3), and (4)
are required. First, it is to be noted that insights come in the
context of the tension of inquiry. This indicates the absolutely
central role played by questioning, and I will return to this point
repeatedly. Characteristic (3) points out that insights arise because
of the internal conditions of the inquirer, not because of external
circumstances. This is not to say that external circumstances are not
involved in or cannot spark the occurrence of an insight. Rather,
Lonergan is pointing out that no matter what the external conditions
might be, the insight will not occur if the proper internal conditions
are not present in the inquirer. Among these conditions is “the
accurate presentation of definite problems”
[Ibid., p. 5.];
that is, the questioning driving the inquiry is not aimless, but
concerns specific and well-formulated problems. Characteristic (4) is a
very important observation on the nature of an insight: it pivots
between the concrete and the abstract. Insights occur because concrete
problems are being addressed, and they are valuable because they can be
concretely applied.
But
because the significance and relevance of insight goes beyond concrete
problem or application, men formulate abstract sciences with their
numbers and symbols, their technical terms and formulae, their
definitions, postulates, and deductions. Thus, by its very nature,
insight is the mediator, the hinge, the pivot. It is insight into
the concrete world of sense and imagination. Yet what is known by
insight, what insight adds to sensible and imagined presentations, finds
its adequate expression only in the abstract and recondite formulations
of the sciences.
[Ibid., p. 6.]
These considerations lead us directly to the second major movement of
inquiry: the urge, desire, even necessity of expressing the insight
exactly, formulating it in technical language so that its meaning is
clear. In discussing how an insight struggles for exact expression,
Lonergan notes the important roles played by images, properly framed
(limited) questions and experimentation with concepts in order to answer
the question.
[Ibid., pp. 7-9.]
When
the insight is achieved and issues in a definition (to consider the
simplest case),
The
answer is a patterned set of concepts. The image strains to approximate
to the concept. The concepts, by added conceptual determinations, can
express their differences from the merely approximate image. The pivot
between images and concepts is the insight. And setting the standard
which insight, images, and concepts must meet is the question, the
desire to know, what could have kept the process in motion by further
queries, had its requirements not been satisfied.
[Ibid., p. 10.]
This
analysis not only reveals that there is a dynamic involved in the exact
expression of an insight, it also allows us to discover the root of the
normative nature of empirical scientific method in the nature of
questioning itself. The motive force of the activity which is
scientific investigation is questioning, driven in turn by the desire to
know, and the pattern of empirical method is normative because only by
asking and answering the questions in that way are the demands of the
questions satisfied. Thus the norm lies in the dynamic of inquiry
itself, and in turn is dependent upon the unrestricted desire to know
which is the eros of the human inquirer. I shall return to this point
in a later section, but it is important to note that one can detect the
normative role of questioning not only in the larger dynamic of
empirical scientific method, but also in the basic elements of insight.
Lonergan goes on, in a third major point, to note that insights, once
they have been expressed in exact and technical language, do not remain
in isolation. Rather, the dynamic of questioning continues and brings
insights together in groups. Inquiry continues in succeedingly higher
viewpoints.
[Ibid., pp. 13-17.]
In
discussing the meaning, occurrence, and necessity of higher viewpoints,
Lonergan notes the importance of symbolism
[Ibid., pp. 17-19. The “symbolism” being discussed is
mathematical symbolism.]
in
the dynamic of inquiry moving to higher viewpoints. For my purposes,
there are two characteristics of symbolism that ought to be mentioned.
First, symbolism in mathematics constitutes a heuristic technique. The
nature of the symbolism names the unknown that is being sought, and the
rules governing the manipulation of the symbolism draw the inquirer on
toward the solution of the problem, toward the discovery of the unknown.
But mathematical symbolism is heuristic in another way as well: it
offers clues, hints, and suggestions that provide the image in which the
inquirer may grasp by insight the rules for the next stage of
mathematical development (a higher viewpoint).
See Lonergan’s discussion, ibid., pp. 18-19.
As
we shall shortly see, empirical scientific method is itself such a
heuristic technique guiding the scientist on toward the goal of
discovery.
A
fourth important observation Lonergan makes is that there are two
different kinds of insights. The kind I have been discussing thus far
he names “direct” insights. He now observes that there is also a kind
of insight he names “inverse.”
[Ibid., pp. 19-25.]
A direct insight discovers the solution to a problem or the answer to a
question; as an act of understanding it finds an expected
intelligibility in the data it ponders. An inverse insight discovers
that the problem has no solution, that this question has no answer; it
denies the expected intelligibility in the data it ponders.
. .
. while the conceptual formulation of direct insight affirms a positive
intelligibility though it may deny expected empirical elements, the
conceptual formulation of an inverse insight affirms empirical elements
only to deny an expected intelligibility.
[Ibid., p. 19.]
In
short, an inverse insight is an act of understanding that on this
question, regarding this empirical data, intelligibility cannot be
discovered. As will become apparent later in my discussion, this
description of inverse insight is important in Lonergan’s analysis
because it serves as the basis for grounding statistical method as a
valid part of empirical scientific method.
[Ibid., pp. 53-58.]
In
exploring the connection of inverse insights with ideas, principles,
methods, and techniques of “quite exceptional significance,” Lonergan
introduces the final interpretive “element” in his initial analysis of
insight, the notion of an “empirical residue.”
[Ibid., pp. 25-32.]
The
empirical residue
(1)
consists in positive empirical data,
(2)
is to be denied any immanent intelligibility of its own, and
(3)
is connected with some compensating higher intelligibility of notable
importance. [Ibid.,
pp. 23-26.]
Thus
the elements in the empirical residue are experienced, observed,
described, conceived, named, thought about, and affirmed or denied; but
they are not objects of a direct insight, and so they cannot be
explained. The clearest examples of elements pertaining to the
empirical residue are particular places and particular tunes. These are
positive aspects of our experience, and we note that each differs from
every other as a matter of fact. Yet “there is no immanent
intelligibility to be grasped by direct insight into that fact.”
[Ibid., p. 26.]
A further consideration is that “because the differences of particular
places and particular times involve no immanent intelligibility of their
own, they do not involve any modification in the intelligibility of
anything else.”
[Ibid., pp. 27.]
The importance of this consideration is that it is the ground of the
possibility of scientific collaboration and also of scientific
generalization.
[Ibid., pp. 28-30.]
It is precisely because the differences of particular places and times
do not modify the intelligibility of anything else that scientists in
different places and times are able to pool their results and depend on
each others’ work. Even more importantly, as particular times and
places differ, so do particular individuals within a class differ; “but
the ultimate difference in our universe is a matter of fact to which
there corresponds nothing to be grasped by direct insight.” Thus even
though there are differences between every individual in a given class,
scientists are able to generalize about the class. For example, every
hydrogen atom differs from every other hydrogen atom in some empirical
respects, yet scientists are able to speak of hydrogen atoms in general
without being required to explain the uniqueness of each particular
hydrogen atom.
This
leads immediately to the closely related topic of abstraction.
[Ibid., pp. 30-31. See also pp. 88-89 for additional
discussion.]
Abstraction, Lonergan observes, is the “selectivity of intelligence,”
and “to abstract is to grasp the essential and to disregard the
incidental, to see what is significant and set aside the irrelevant, to
recognize the important as important and the negligible as negligible.
[Ibid., p. 30.]
What is
essential, significant, and important is “the set of aspects in the data
necessary for the occurrence of the insight or insights” and the related
concepts “necessary for the expression of the insight or insights.”
What is incidental, irrelevant, and negligible is the other “aspects of
the data that do not fall under the insight or insights” as well as the
concepts that correspond to these aspects. In a science or group of
allied sciences that reaches full development, Lonergan contends, “the
incidental, irrelevant, negligible consists in the empirical residue
that, since it possesses no immanent intelligibility of its own, is left
over without explanation . . . .”
Ibid.,
p. 31. Even if one is to take a science or group of allied sciences that
“reaches full development” as a limit case that science approaches but
never realizes, it seems to me that there is something missing from
Lonergan’s account of abstraction, namely, the observation that a
particular purpose governs the making of all abstractions.
Something is irrelevant or negligible only given a certain purpose.
Thus, in consigning all that is not relevant to a “fully developed”
science to the empirical residue (by definition without immanent
intelligibility), is not Lonergan overlooking a fundamental feature of
abstraction? For example, if Whitehead’s account of abstraction is
accurate, then it seems that scientific abstractions by their nature
abstract not only from the empirical residue, but also from other
aspects of events that do possess immanent intelligibility when
approached by inquiry with purposes different than the scientific. This
is a question to which I will have to return in a later part of my
study.
The
importance for my purposes of this analysis which Lonergan gives under
the heading of “the empirical residue” perhaps ought to be made
explicit. First the notion of the empirical residue will be a
significant factor in Lonergan’s analysis of statistical method. But
more importantly for my purposes, it is clear even at this stage that
abstraction and generalization are the two activities involved in the
practice known as induction. The analysis of the notion of the
empirical residue and how it is related to the activities of abstraction
and generalization will provide the ground upon which Lonergan will
attempt to exhibit the validity of the practice of induction, arguing
that both abstraction and generalization (which, obviously, depends on
abstraction) are grounded and find their validity in the very dynamism
of inquiry itself.
The Heuristic Structures of Empirical Method: Chapter II of
Insight
Lonergan now moves his attention to the dynamic method of the empirical
sciences, and he begins by noting the similarities and dissimilarities
between mathematical and scientific insights.
Ibid.,
pp. 33-35. I will restrict my discussion of Chapter II to only those
points important for my purposes.
There are circuits of development in both mathematical and scientific
method, Lonergan notes, but the circuits are of different sorts.
Mathematics reaches higher viewpoints by following a circuit that can
be outlined as follows: initial images give, rise to insights; insights
give rise to definitions and postulates; definitions and postulates
guide the use of the heuristic device of symbolic operations; and
symbolic operations give rise to “a more general image in which the
insights of the higher viewpoint are emergent”
[Ibid., p. 35.]
The
circuit of scientific inquiry differs in this way:
The
operations that follow upon the formulation of laws are not merely
symbolic. For the formulation expresses a grasp of possibility. It is a
hypothesis. It provides a basis for deductions and calculations no less
than mathematical premises. But it also provides a basis for further
observations and experiments. It is such observation and
experimentation, directed by a hypothesis, that sooner or later turns
attention to data that initially were overlooked or neglected; it is
attention to such further data that forces the revision of initial
viewpoints and effects the development of empirical science.
[Ibid.]
Thus
the circuit of empirical scientific method is similar in structure to
mathematical method, but is distinguished because it must be empirical;
it must attend to its data, which are external to its own hypothetical
formulations. The movement to a higher viewpoint occurs as a result of
comparing the hypothetical formulation and its deduced implications to
further data by means of experimentation and renewed observation.
Lonergan summarizes all this even more briefly: “The circuit, then, of
mathematical development may be named immanent; it moves from images
through insights and conceptions to the production of symbolic images
whence higher insights arise. But the circuit of scientific development
includes action upon external things; it moves from observation and
experiment to tabulations and graphs, from these to insights and
formulations, from formulations to forecasts, from forecasts to
operations, in which it obtains fresh evidence either for the
confirmation or for the revision of existing views.” Ibid.
Lonergan now attempts to answer a puzzling question.
Scientists achieve understanding, but they do so only at the end of an
inquiry. Moreover, their inquiry is methodical, and method consists in
ordering means to achieve an end. But how can means be ordered to an
end when the end is knowledge and the knowledge is not yet acquired?
Ibid.,
p. 44. This quotation is taken from a summary discussion. Lonergan
pursues this question on pp. 35-46.
In
short, how is it possible for a scientist even to begin an investigation
when he or she does not yet know what it is that he or she is trying to
know? “The answer to this puzzle is the heuristic structure. Name the
unknown. Work out its properties. Use the properties to direct, order,
guide the inquiry.”
[Ibid., p. 44.]
And so just as the mathematician is able to devise heuristic techniques
to guide inquiry,
[See ibid., pp. 17-19, and Thesis, pp. 65.]
the
scientist, too, is able to devise and use an heuristic structure to
guide inquiry. Lonergan gives a good summary of what the heuristic
structure in empirical scientific method is:
What
is to be known inasmuch as data are understood is some correlation or
function that states universally the relations of things not to our
senses but to one another. Hence, the scientific anticipation is of
some unspecified correlation to be specified, some indeterminate
function to be determined; and now the task of specifying or determining
is carried out by measuring, by tabulating measurements, by reaching an
insight into the tabulated measurements, and by expressing that insight
through some general correlation or function that, if verified, will
define a limit on which converge the relations between all subsequent
appropriate measurements.
Insight,
p. 44. See ibid., pp. 44-45 for Lonergan’s summary of the
further “enrichments” of this basic anticipation and procedure. One
that perhaps I ought to note in passing is that science anticipates the
independence of the general correlation or function from the empirical
residue, and this is expressed in physics as “the invariance of
principles and laws under groups of transformations.” See also ibid.,
pp. 39-43.
As
the reader will no doubt note, this “heuristic structure” is a more
specific application of the general dynamic structure of empirical
method I discussed in the preceding subsection.
[Thesis, pp. 56-62.]
The problem which gives rise to inquiry is here “the anticipation of
some unspecified correlation.” Observation and description are here
“measuring” and “tabulating measurements.” The insight grasping the
solution of the problem is here “an insight into the tabulated
measurements.” The expression or formulation of the insight in an
hypothesis is here “expressing that insight through some general
correlation or function,” and, as hypothesis attempts to express what
will be the case for all similar phenomena, here the “general
correlation or function” attempts to “define a limit on which converge
the relations between all subsequent appropriate measurements.”
Finally, just as hypotheses must be verified (that is, tested), so here
too the general correlation or function must be verified. Hence, while
Lonergan is here discussing a rather specific procedure within the
physical sciences, this analysis also reveals that empirical method
itself is a heuristic structure. Nor ought it to be overlooked that,
even at this early stage in his study, Lonergan detects the same basic
heuristic structure in “pre-scientific” thought as well.
[See Insight, p. 44.]
Though
my concern at this point in my study is with empirical scientific method
alone, the last-mentioned point will prove to be of some import in my
later analysis.
Lonergan names the heuristic structure just described “classical,” and
proceeds to a lengthy analysis of a second “heuristic structure,” the
statistical. This analysis is designed to exhibit why statistical
science cannot be dismissed as “a mere cloak for ignorance.” His
purpose is
not
to work out definitive foundations for statistical science but to grasp
in some fashion the statistical heuristic structure that not only
tackles specific problems but also develops its own methods as it goes
along and thereby sets up an exigence for a succession of new and better
foundations.
Ibid.,
p. 53. The analysis of statistical method, including distinguishing
between systematic and non-systematic processes, occupies pp. 46-68.
To
this end, Lonergan discusses the differences between systematic and
non-systematic processes,
Ibid.,
pp. 47-53. For a critical analysis of the intelligibility of this
distinction, see Harold H. Kuester, “The Epistemology of Michael
Polanyi: A Solution to Current Epistemological Difficulties,” 2 vols.
(Ph.D. dissertation, The Divinity School, University of Chicago, 1975),
2: 494-515.
and
notes that while classical heuristic structure studies systematic and
ignores non-systematic processes, statistical heuristic structure makes
non-systematic processes its field of inquiry. The “radical” difference
in mentality between classical and statistical inquirers is to be
explained as based upon “something like an inverse insight,”
[Insight, p. 54.]
which denies intelligibility to random differences that occur in
frequency patterns.
[Ibid., pp. 54-55.]
The statistical inquirer, in a positive insight, affirms intelligibility
in what classical heuristic structure neglects,
[Ibid., pp. 56-58.]
and denies this intelligibility to random differences from the average
frequency.
[Ibid., p. 58.]
This intelligibility is expressed in the concept of probability.
[Ibid., pp. 58-62.]
Lonergan goes on to discuss the insight which is at the root of the
concept of probability.
By
that insight the inquirer abstracts from the randomness in frequencies
to discover regularities that are expressed in constant proper fractions
named probabilities. There results the solution of two outstanding
methodological problems. Because the probabilities are to hold
universally, there is solved the problem of reaching general knowledge
of events in non-systematic processes. Because states are defined by
the association of classes of events with corresponding probabilities,
there is by-passed the problem of distinguishing and listing
non-systematic processes. However both the probabilities and the states
they define are merely the fruits of insight. They are hypothetical
entities whose existence has to be verified and, in fact, becomes
verified in the measure that subsequent frequencies of events conform to
probable expectations. In turn, this need of verification provides a
simple formulation for the notion of a representative sample. For a set
of relative actual frequencies is a representative sample if the
probabilities to which they lead prove to be correct. . . . It follows
that the basic practical problem of statistical inquiry is the selection
of representative samples and, indeed, that its solution must depend not
merely on a full theoretical development of statistical method but also
on the general knowledge of individual investigators and on their
insights into whatever specific issues they happen to be investigating.
Lonergan establishes this parallelism of dynamic structure in a more
detailed analysis, ibid., pp. 63-66. Especially important is his
conclusion that while the need for verification is the same in
both classical and statistical heuristic structure, verification does
not have the same meaning in both. See ibid., pp. 65-66.
This
passage is important for several reasons. First it establishes that
statistical inquiry does follow the basic structure of empirical method:
it has insights, it expresses those insights in a hypothetical
formulation, and this hypothetical formulation needs to be verified.
But it also introduces a point which will become quite important later
in my study. As Lonergan says, the need for verification of statistical
hypotheses makes the selection of representative samples the basic
practical problem, and the solution of this problem depends in part on
the “general knowledge of individual investigators and on their insights
. . .” In other words, the making of probable judgments of verification
See ibid., pp. 67-68 on the important and crucial distinction to
be made between probable judgments of verification and judgments of the
probable occurrence of events.
depends in part on the knowledge of the investigator, and so there is an
undeniably personal element to the knowledge arrived at in making such
judgments of verification.
I might note that Lonergan here expresses a position quite similar to
that of Michael Polanyi. I will discuss this and other similarities to
Polanyi in Chapter II.
Or
to put it another way, in order to understand how it is that inquirers
pursue understanding and come to knowledge through the making of
probable judgments, one must be more concerned with the knower than with
what is known. This points out the direction that Lonergan’s study
follows. As he says at the end of the chapter on the heuristic
structures of empirical method,
Our
goal is the concrete, individual existing subject that intelligently
generates and critically evaluates and progressively revises every
scientific object, every incautious statement, every rigorously logical
resting place that offers prematurely a home for the restless dynamism
of human understanding. Our ambition is to reach neither the known nor
the knowable but the knower.
[Insight, p. 69.]
The Canons of Empirical Method: Chapter III of
Insight
Returning to empirical scientific method, we may note that Lonergan has
established the existence of two sorts of heuristic structures, the 4
classical and the statistical,
It might be helpful to note one of Lonergan’s later summaries of these
two sorts of heuristic structures. “A classical heuristic structure is
intelligent anticipation of the systematic-and-abstract on which the
concrete converges. A statistical heuristic structure is intelligent
anticipation of the systematic-and-abstract as setting a boundary or
norm from which the concrete cannot systematically diverge.” [Ibid.,
p. 103.]
and
he has argued that they are parallel in structure. He later notes,
Of
themselves, heuristic structures are empty. They anticipate a form that
is to be filled. Now just as the form can be anticipated in its general
properties, so also can the process of filling be anticipated in its
general properties. There exist, then, canons of empirical method.
[Ibid., p. 103.]
These canons of empirical method govern the way in which an inquiry in
empirical science is to be conducted, and Lonergan’s “single purpose is
to reveal the intelligible unity that underlies and accounts for the
diverse and apparently disconnected rules of empirical method.”
[Ibid., p. 71.]
My
discussion of these canons is not intended to be a complete summary of
Lonergan’s analysis of the canons, since I will have occasion to return
to some of the issues raised in his discussions in later chapters of my
study. For now I am interested simply in gaining a general
understanding of the meaning of these canons and in noting a few areas
of import for my purposes.
Lonergan states and discusses six canons of empirical scientific method:
selection, operations, relevance, parsimony, complete explanation, and
statistical residues.
Ibid.,
p. 70. Pp. 71-102 contain the detailed discussions of the canons.
The
canon of selection states that the inquiry of empirical science
is restricted to data of sensible experience. On the negative side it
informs the empirical scientist to avoid questions that cannot be
settled by observation and experiment; on the positive side “it directs
the scientist’s efforts to the issue that he can settle by the decisive
evidence of observation and experiment.”
Ibid.,
p. 72.
In
discussing this canon, Lonergan makes three points to which I want to
draw attention because of their importance later in the study. First,
he notes that the canon of selection does not deny intelligibility to
all other questions besides empirical scientific ones.
Questions that do not satisfy the canon of selection do not arise within
the confines of empirical science, but it does not follow immediately
that they do not arise at all. Issues that cannot be settled by
observation or experiment cannot be settled by empirical method, but it
does not follow immediately that they cannot be settled at all.
[Ibid.]
Secondly, Lonergan entertains the notion that empirical method might be
applied, at least in its essential features, to the data of
consciousness as well as the data of sense. If it can be, he decides,
then such a method would be named “a generalized empirical method.”
[Ibid.]
This
question will not be taken up for some time in Lonergan’s study; but it
is important to note where it originally arises. Finally, returning
more immediately to the canon of selection, Lonergan comments on the
fact that scientific observation is not some passive recording of sense
impressions, but rather demands the full and vital participation of the
scientist. The scientist as subject must be involved, must participate,
if scientific observation is to take place: “it is not by sinking into
some inert passivity but by positive effort and rigorous training that a
man becomes a master of the difficult art of scientific observation.”
[Ibid., p. 74; see also p. 73.]
We will
later see the full importance of this fact that scientific inquiry
demands the full and active participation of the scientist.
The
canon of operations describes how the activities or operations of
science are guided by the laws which are the formulated insights arrived
at in scientific inquiry.
. .
. the laws provide premises and rules for the guidance of human activity
upon sensible objects. Such activity, in its turn, brings about
sensible change to bring to light fresh data, raise new questions,
stimulate further insights, and so generate the revision or confirmation
of existing laws and in due course the discovery of new laws.
[Ibid., p. 74.]
Lonergan goes on to discuss how the canon of operations is a principle
of cumulative expansion, of construction, of analysis, of cumulative
verification, how it provides a test of the impartiality and accuracy of
observations, how it is a principle of systematization, and how it is a
source of higher viewpoints.
[Ibid., pp. 74-76.]
The
canon of relevance states the type of understanding proper to
empirical science; “it states that empirical inquiry primarily aims at
reaching the intelligibility immanent in the immediate data of sense.”
[Ibid., pp. 76, 77.]
This intelligibility that is immanent in the data of sense, according to
the canon of relevance, resides in the relation of things to each other,
not in their relation to our senses, and it consists not in an absolute
necessity, but in a realized possibility.
[See ibid., pp. 77-78.]
To use Aristotelian vocabulary, the canon of relevance states that the
intelligibility scientific inquiry is seeking is neither final,
material, instrumental, nor efficient causality, but rather formal
causality.
See ibid., pp. 76-78. See p. 78 on the possible
misinterpretations of this term that are to be excluded.
One
point to note is that the canon of relevance reveals the “two distinct
grounds” upon which empirical science rests: “As insight grasping the
possibility, it is science. As verification selecting the possibilities
that are in fact realized, it is empirical.”
[Ibid., p. 78.]
The
canon of parsimony is a strong empirical check on scientific
statement. It insists that the scientist must not affirm more than the
data will allow. It thus acts as a restraint on the excitement of
discovery, and it also insists that neither speculation nor unverified
hypothesis is knowledge.
. .
. the empirical investigator cannot be said to know what is not verified
and he cannot be said to be able to know the unverifiable. Because
then, verification is essential to his method, the canon of parsimony in
its most elementary form excludes from scientific affirmation all
statements that are unverified and, still more so, all that are
unverifiable.
Ibid.,
p. 79. See pp. 79-83 for Lonergan’s analysis of how both classical and
statistical laws satisfy the canon of parsimony.
The
goal of scientific inquiry is stated by the canon of complete
explanation: the empirical scientist is to strive to explain all the
data. Nothing that falls within the field of inquiry (governed by the
canon of selection) can be ignored, overlooked, or discarded.
Ibid.,
p. 84. See pp. 84-86 where Lonergan uses this canon to criticize
Galileo’s theory of primary and secondary qualities and his repudiation
of secondary qualities as mere appearance.
Finally, there is the canon of statistical residues. This canon
arises because after classical inquiry has done its work there remain
“residues” which classical inquiry cannot investigate. The existence of
these “residues” calls for statistical inquiry. In short, one might
argue that the canon of statistical residues arises from the imperative
of the canon of complete explanation. Lonergan summarizes his general
argument on behalf of the necessity of statistical inquiry in the
following passage.
There does not exist a single ordered sequence that embraces the
totality of particular cases through which abstract system might be
applied to the concrete universe. In other words, though all events are
linked to one another by law, still the laws reveal only the abstract
component in concrete relations; the further concrete component, though
mastered by insight into particular cases, is involved in the empirical
residue from which systematizing intelligence abstracts; it does not
admit general treatment along classical lines; it is a residue, left
over after classical method has been applied, and it calls for the
implementation of statistical method.
Ibid.,
p. 87. For the prior analysis that leads to this conclusion, see pp.
86-87; and for the detailed argument of this interpretation, see pp.
87-102.
The
relation between classical and statistical method can be clarified by
introducing the notion of abstraction, which I briefly discussed above.
Lonergan’s treatment not only is clear, but summarizes and restates
several key points made earlier.
So
far from being a mere impoverishment of the data of sense, abstraction
in all its essential moments is enriching. Its first moment is an
enriching anticipation of an intelligibility to be added to sensible
presentations; there is something to be known by insight. Its second
moment is the erection of heuristic structures and the attainment of
insight to reveal in the data what is variously named as the
significant, the relevant, the important, the essential, the idea, the
form. Its third moment is the formulation of the intelligibility that
insight has revealed. Only in this third moment does there appear the
negative aspect of abstraction, namely, the omission of the
insignificant, the irrelevant, the negligible, the incidental, the
merely empirical residue. Moreover, this omission is neither absolute
nor definitive. For the empirical residue possesses the universal
property of being what intelligence abstracts from. Such a universal
property provides the basis for a second set of heuristic procedures
that take their stand on the simple premise that the non-systematic
cannot be systematized.
[Ibid., pp. 88-89.]
And
so we see that-the existence of the empirical residue and the
possibility of an inverse insight into the empirical residue are the
ground for the possibility of statistical method, and the canon of
complete explanation impels science toward the implementation of
statistical method. At the conclusion of his detailed argument,
Lonergan states that
the
canon of statistical residues involves three elements, and all three can
be stated only in cognitional terms. The first element is the
indeterminacy of the abstract: classical laws can be applied to concrete
situations only by adding further determinations derived from the
situations. The second element is the nonsystematic character of the
further determinations. . . . The third element, finally, is the inverse
insight: if the intelligibility of abstract system is not to be had [in
the empirical residue], still generality is not to be renounced; for
there is the generality of the ideal frequency of events; and from such
an ideal frequency the non-systematic cannot diverge in any systematic
fashion.
[Ibid., pp. 100, 101.]
Such, then, are the six cannons of empirical scientific method.
Although Lonergan does not explicitly discuss the canons in this way,
it seems that these canons taken together might be understood as a more
specific statement of the dynamic structure of empirical scientific
method itself. The canons, as a unity structuring the conduct of
scientific inquiry, attempt to provide the disciplined environment in
which insights may occur and, when they have occurred, be expressed,
tested and developed to their fullest. The canon of selection defines
the field of inquiry and tells the scientist how to observe it; the
canon of operations tells the scientist how to go about understanding
that area of inquiry; the canon of relevance defines the type of
understanding being sought; the canon of parsimony demands an empirical
check on the understanding, demands that every statement expressing a
scientific understanding be tested; the canon of complete explanation
points the scientist toward renewed observation and higher viewpoints;
and finally, the canon of statistical residues might be understood as an
outgrowth of the canon of complete explanation. These canons constitute
the specific norms of empirical scientific inquiry, and one can
understand them to be a specification for the empirical sciences of the
normative nature of questioning itself.
The Complementarity of Classical and Statistical Investigations: Chapter
IV of Insight
Lonergan next considers the question of “whether classical and
statistical inquiries are isolated or related procedures, whether they
lead to isolated or related results.”
[Ibid., p. 104.]
Lonergan has previously established that classical and statistical
methods (heuristic structures) are parallel in structure.
[Ibid., pp. 58-59, 63-66; and Thesis, pp. 69-72.]
In this chapter he attempts to show that they are complementary as well.
This complementarity has two aspects: Lonergan first argues that
classical and statistical investigations “are complementary as types of
knowing;” and then he argues that in addition to this, “there is a
complementarity in the to-be-known.”
[Inight, p. 104.]
With regard to the complementarity as types of knowing, Lonergan’s own
summary of his argument will suffice for my purposes. He argues that a
complementarity of classical and statistical investigations exists
at
each of the stages or components of the process of inquiry. There is
the classical heuristic anticipation of the systematic; there is the
complementary statistical heuristic anticipation of the non-systematic.
Next, to determine either a classical or a statistical law is to prepare
the way for the determination of further laws of either type; for both
classical and statistical laws pertain to a single complementary field,
and to know either is to effect a mental separation between types of
data that have been accounted for and types that still remain to be
explained.
Thirdly, there is a complementarity of formulations; the experiential
and pure conjugates of classical laws can be verified only in events;
the events occur only if other things are equal; and the failure to
specify the other things amounts to an unconscious acknowledgement of
the non-systematic aggregate of patterns of diverging series of
conditions. Inversely, as conjugates are verified only in events, so
events are defined only by conjugates, and statistical laws of events
can possess scientific significance only in the measure that they employ
definitions generated by classical procedures.
Fourthly, there is a complementarity in modes of abstraction; classical
laws regard the systematic in abstraction from the non-systematic, the
relation of things to one another in abstraction from their relations to
our senses; but statistical laws consider the systematic as setting
bounds to the non-systematic and they are confined to the observable
events that include a relation to our senses.
Fifthly, the two types of law are complementary in their verification:
exact and complete knowledge of classical laws cannot successfully
invade the field of statistical laws; and statistical investigations are
confronted with regular occurrences that admit explanations of the
classical type.
Finally, there is complementarity in the aspects of data explained by
the different types of laws; data as similar are explained on classical
lines; but their numbers and their distributions become intelligible
only by some synthesis of statistical considerations.
[Ibid., p. 114-115; see pp. 105-114 for the detailed argument.]
But
beyond a complementarity as ways of knowing, Lonergan also attempts to
show that classical and statistical investigations are complementary
because they attend to different aspects of one reality. The
affirmation of both classical and statistical investigations necessarily
involves a world view. This is because “whether one likes it or not,
heuristic structures and canons of method constitute an a priori. They
settle in advance the general determinations, not merely of the
activities of knowing, but also of the content to be known.
[Ibid., pp. 104-105]
Or, put
another way, Lonergan argues that there must be a correspondence between
knowing and the known, “and, as the known is reached only through
knowing, structural features of the one are bound to be reflected in the
other.”
[Ibid., p. 115.]
Thus
the dynamic structure of empirical scientific method as Lonergan has
analyzed it necessarily involves a “world view” which in its general
characteristics would illustrate why classical and statistical
investigations are in fact complementary. Lonergan concludes Chapter IV
of Insight by discussing the world view implied by his analysis
of empirical scientific method, a world view he names “emergent
probability,” and in contrasting that view with several other world
views from the past.
[Ibid., pp. 115-139.]
For
reasons I will discuss at the appropriate time, I wish to defer
consideration of this world view to the section of this chapter on the
relation between the method of science and philosophy in Lonergan’s
thought.
[See Thesis, pp. 108-110.]
Lonergan continues his analysis of empirical science in Chapter V,
“Space and Time,” but what is added there is of no great import for my
study. I will now attend to one element of empirical scientific method
which has not yet received much discussion. We have seen in some detail
Lonergan’s analysis of the first three moments of scientific method:
observation-description; insight; and the formulation of hypotheses. We
have also seen in some detail his analysis of the necessity of testing
the understanding expressed in hypotheses. But while it has been
mentioned, I have not yet discussed in any detail the culminating
activity of scientific testing, namely, judgment. Nor have I discussed
how the understanding formulated in hypotheses becomes transformed into
knowledge. To these issues of judgment and knowledge I now turn.
Understanding, Knowledge, and Scientific Method
We
have seen earlier
[Ibid., p. 59.]
that the achievement of understanding does not terminate the dynamic
force and impulse of questioning; even when a scientist has understood
and has formulated that understanding in a hypothesis, the further
question arises, Is it so? Is it true? Or, one might phrase the
question in this way: Is that the way it really is? Is that the real?
And so before discussing how it is that one can make a judgment in
answer to such questions, one must first consider what the notion of the
real is, since that is what one is attempting to reach in making a
judgment. This Lonergan does in the important Chapter VIII of
Insight, “Things.”
Lonergan draws a distinction between a “body” and a “thing,” and notes
that there are two different kinds of knowing that correspond to these
notions.
[Insight, pp. 245-254.]
Let us first consider the distinction between the notions of a thing
and a body.
. .
. the notion of a thing is grounded in an insight that grasps, not
relations between data, but a unity, identity, whole in data; and this
unity is grasped, not by considering data from any abstractive
viewpoint, but by taking them in their concrete individuality and in the
totality of their aspects.
Ibid.,
p. 246. Lonergan goes on to discuss the characteristics of a “thing”:
it is conceived as extended in space, permanent over time, yet subject
to change.
The
notion of the thing is necessary for the continuity and development of
scientific thought, Lonergan notes. Fundamentally, “scientific
development involves a succession of explanatory systems,” but these
systems “have to be discovered in data and verified in data.” But not
just any data will do.
Accordingly, scientific thought needs, not only explanatory systems, but
also descriptions that determine the data which explanations must
satisfy. Moreover, scientific thought needs the notion of the thing,
which has as its properties both experiential and explanatory
conjugates, which remains identical whether it is described or
explained, which by its identity demands a coherent explanation or set
of explanations that is verifiable in the easily ascertainable data of
the thing as described.
Thus, the thing is the basic synthetic construct of scientific thought
and development.
[Ibid., pp. 247-248.]
In
short, the thing is the intelligible unity grasped in data as individual
and particular and concrete.
This
notion of the thing will become clearer if we contrast it with the
notion of what Lonergan calls a “body.” A body is the sensed unity of an
object of animal extroversion.
Ibid.,
pp. 250-251. I might note in passing that in Whitehead’s vocabulary,
what Lonergan calls a “body” has to do with sensation and presentational
immediacy.
It
is what Lonergan characterises as an “already out there now real.”
Lonergan’s technical definition of an “already out there now real” is as
follows: “‘Already’ refers to the orientation and dynamic anticipation
of biological consciousness; such consciousness does not create but
finds its environment; it finds it as already constituted, already
offering opportunities, already issuing challenges. ‘Out’ refers to the
extroversion of a consciousness that is aware, not of its own ground,
but of objects distinct from itself. ‘There’ and ‘now’ indicate the
spatial and temporal determinations of extroverted consciousness.
‘Real,’ finally, is a subdivision within the field of the ‘already out
there now’: part of that is mere appearance; but part is real; and its
reality consists in its relevance to biological success or failure,
pleasure or pain.” Ibid., p. 251.
It
is the perceived unity and reality of all the objects of our common,
everyday lives: the chairs we sit in, the dishes and utensils with which
we eat, the walls we avoid walking into, the automobiles we drive, and
so on. A body is the rock kicked by Dr. Johnson, the well into which
Thales fell, the first of Eddington’s famous “two tables.”
See Arthur Eddington, The Nature of the Physical World
(Cambridge: Cambridge University Press, 1928 ,”Introduction.” The
distinction Eddington draws in these Gifford lectures between his
“ordinary” and “scientific” tables corresponds exactly to Lonergan’s
distinction between a “body” and a “thing.”
The
point of Lonergan’s distinction between a thing and a body is not to
deny reality to either. In fact, as Lonergan would grant, “biological
success or failure” depends on the ability to perceive and deal with the
objects he names “bodies,” a truth that common sense has no trouble
grasping.
See Insight, p. 251. Common sense, as Lonergan describes it in
Chapters VI and VII of Insight, is at home with the notion of a
“body,” but would find the notion of a “thing” confusing. Eddington
(see previous note) made the same observation.
Both
things and bodies are real, but their reality has quite different
criteria. The reality of bodies and the “knowing” of them does not
depend in any way on specifically human intelligence; humans share with
all other animals the perception of bodies, the biological awareness of
the reality of the world of our environment. But only humans know the
reality of things, and they know things only when they are exercising
their intelligence. This is really the heart of Lonergan’s point. The
real for the human knower is contained in the canon of parsimony:
. .
. the real is the verified; it is what is to be known by the knowing
constituted by experience and inquiry, insight and hypothesis,
reflection and verification. Our present point is that, besides knowing
in that rather complex sense, there is also “knowing” in the elementary
sense in which kittens know the “reality” of milk.
[Insight, p. 252.]
The
differences between the two kinds of knowing should now be fairly
obvious. The knowing related to bodies has nothing to do with
questioning. Kittens do not question the reality of their food, nor do
we. But when humans who are scientists are knowing as scientists,
questioning is at the heart of the method of knowing
[Ibid.]
and,
while human intelligence is being exercised, the real is what is to be
known by verification in the data, not a perceived “already out there
now.”
Lonergan proceeds in the remainder of Chapter VIII to develop his
position. Since I will have occasion in Chapter III to consider those
developments, I omit mention of them here. An interesting point I might
note, however, is that on the basis of his position on knowing and the
real, and of his notion of the “thing,” Lonergan separates his position
from those of Galileo, Newton, and Kant (see ibid., pp.
252-254). This is quite similar to the way Whitehead, using his
analysis of abstraction and the fallacy of misplaced concreteness,
separates his position from Newton’s and Kant’s. I will return to this
point in a later section.
Still the question remains, how does one come to knowledge of the real;
how does one verify an understanding in the data? Lonergan pursues the
answer to such questions in Chapters IX and X of Insight in which
he discusses the notion and elements of judgment. He begins by relating
the notion of judgment to questions. Questions, he notes, fall into two
main classes: questions for intelligence (what is it?), and questions
for reflection (is it?). Questions for intelligence demand answers that
are either descriptions or explanations; but questions for reflection
demand answers that are either affirmations or negations (or admissions
of ignorance).
Insight,
pp. 271-272. Lonergan also notes that a judgment involves a personal
commitment and entails a personal responsibility for the judgment on the
part of the one judging; ibid., p. 272. This important point is
not developed until later in Lonergan’s analysis.
Next, Lonergan relates the notion of judgment to the general structure
of cognitional process as he has analyzed it.
[Ibid., pp. 272-274.]
His
prior analysis has discovered three levels in that process: the level of
presentation (data); the level of intelligence (insights and
formulations); and the level of reflection (judgment). In empirical
scientific method these are the moments of observation and description,
insight and hypothesis formation, and testing and verification. Each
level leads to the next by the dynamic of questioning. Also, the second
level presupposes and complements of first, and the third level
presupposes and complements the second (and so the first as well). Thus
the cognitional process is cumulative in character. The levels can be
schematized in the following manner.
[Ibid., p. 247.]
I. Data; Perceptual Images Free Images Utterances
II. Questions for Intelligence Insights Formulations
III. Questions for Reflection
Reflection Judgment
Having related judgment to the three levels of cognitional process,
having located it as the terminus of the process of knowing, Lonergan
goes on in Chapter X of Insight to discuss specifically how one
makes a judgment, that is, he discusses the operations involved in
reflection. But before taking up this discussion, two points must be
raised. The first is simply to note that Lonergan also distinguishes
two modes of cognitional process: the direct and the
introspective modes. The direct mode deals with data of sense, and
follows the by now familiar dynamic of questions leading to insights,
which are expressed in formulations, which lead to questions for
reflection, and culminate in judgments. Empirical science, Lonergan
notes, follows the direct mode of cognitional process. On the other
hand, there are also data of consciousness, and the introspective mode
deals with such data, following the same structural dynamic pattern of
cognitional process.
[See ibid.]
Both
these modes unfold in the three levels of consciousness. This
distinction between the two modes of cognitional process is quite
important in the development of Lonergan’s position, but this is not the
place to discuss it. I defer such discussion initially to the later
section of this chapter on the relation between scientific method and
philosophy in Lonergan’s thought, and will return to it at more length
in Chapter III.
A
second point must be discussed to clarify a possible source of
confusion. The three levels of cognitional process as Lonergan analyzes
them are to be distinguished but not, in my judgment, sharply separated.
Level I (data and perceptual images; free images; utterances) is on
occasion described by commentators as if it had nothing to do with
intelligence at all, as if it were very sharply separated from the
inquiring intelligence at work in Level II.
I have in mind specifically the analysis of Kuester, “The Epistemology
of Michael Polanyi,” 2: 557-560.
One
commentator has even equated Level I with the kind of knowing that takes
place when one “knows” a “body.”
Ibid.,
2: 554-555; see also 547-549. I believe this misunderstanding is the
cause for the difficulties Kuester poses, ibid., 2: 557-560.
Now
it seems clear for several reasons that Level I is not to be equated
with the kind of knowing that takes place when one knows a body. First,
Lonergan is here discussing human cognitional process, and when
discussing the “knowing” of bodies Lonergan clearly states that such
knowing has nothing to do with the questioning which is the sine qua
non of truly human knowing and which he describes in his analysis of
cognitional structure. The knowing of a body
is
constituted completely on the level of experience; neither questions for
intelligence nor questions for reflection have any part in its genesis;
. . . On the other hand, in fully human knowing experience supplies no
more than materials for questions; questions are essential to its
genesis . . .
[Insight, p. 252.]
In
short, the “knowing” that takes place when one “knows” a “body” cannot
be called cognitive knowing, and Lonergan is here describing the levels
of cognitive knowing. Further, if one applies this structure of levels
to empirical scientific method, it seems clear that intelligence must
play some role even on Level I because observation and description are
to be located on this level (corresponding to “free images” and
“utterances” respectively) and scientific observation and description
are clearly intelligent activities. That is” they are not the necessary
outcome of mere experience but are precise and technical operations
guided by human intelligence, technical responses to the question “what
is it?” Finally, while Lonergan does not discuss the presence of active
intelligence on Level I at any length, he does indicate its presence in
a single sentence: “The exception lies in free images and utterances
which commonly are under the influence of the higher levels before they
provide a basis for inquiry and reflection.”
Ibid.,
p. 274. The sentence occurs immediately after Lonergan presents the
schematization of the three levels of cognitional process and states
that each higher level presupposes and complements the levels) below
it. By calling “free images” and “utterances” “the exception,” Lonergan
clearly means that prior intelligent activity (Levels II and III) is
often required before the operations of Level I can be conducted
properly. This would be true in the empirical sciences where
observation and description are often under the influence of hypothesis,
and certainly presuppose past intelligent experience in scientific
inquiry. Also see the quotation on p. 69 note 3, where Lonergan seems
to presume some such understanding of the influence of Levels II and III
on observation.
In
short, in human knowing intelligence is at work in all three levels of
cognitional process. While the three levels are to be distinguished
clearly so as to identify and come to some understanding of the distinct
operations and their patterned relationships in the dynamic structure of
cognitional process, these distinctions are not to be interpreted as
constituting a gulf between the three levels, separating them sharply
from each other. The process of human cognition is a continuum; the
distinctions are made to enable understanding of that continuum.
This interpretation, I submit, would make Kuester’s disagreement with
Lonergan and his reinterpretation (see “The Epistemology of Michael
Polanyi,” 2: 557-560) unnecessary, since Kuester argues that knowing is
better conceived as a continuum. The issue that lies at the root of
Kuester’s discussion is the relation of knowing to experience in
Lonergan’s thought. I will discuss this issue in Chapter III.
With
this understanding of the three levels of cognitional process, I now
turn to the question of what is involved in the making of a judgment.
From the schematization Lonergan presents, note that between questions
for reflection and judgment occurs the activity or set of operations
Lonergan calls reflection. It is this set of operations that provides
the final element in the understanding of how the human knower arrives
at knowledge, how the understanding which is the product of Level II is
transformed into what can properly be called knowledge.
“The
act of reflective understanding [reflection] is an insight,” Lonergan
says, which “grasps the sufficiency of evidence for a prospective
judgment. The problem is to understand what constitutes that
“sufficiency of evidence.” There is “a marshalling and weighing of
evidence” that takes place between the question for reflection and the
judgment, “but what are the scales on which evidence is weighed? What
weight must evidence have, if one is to pronounce a ‘Yes’ or a ‘No’?”
[Ibid.]
To
answer this question Lonergan begins by considering the general form of
reflective insight. “To grasp evidence as sufficient for a prospective
judgment is to grasp the prospective judgment as virtually
unconditioned.”
[Ibid., p. 280.]
Lonergan distinguishes between the formally unconditioned and the
virtually unconditioned.
The
formally unconditioned has no conditions whatever. The virtually
unconditioned has conditions indeed but they are fulfilled.
Accordingly, a virtually unconditioned involves three elements, namely:
(1)
a conditioned,
(2)
a link between the conditioned and its conditions, and
(3)
the fulfilment of the conditions.
Hence a prospective judgment will be virtually unconditioned if
(1)
it is the conditioned,
(2)
its conditions are known, and
(3)
the conditions are fulfilled.
By
the mere fact that a question for reflection has been put, the
prospective judgment is a conditioned; it stands in need of evidence
sufficient for reasonable pronouncement. The function of reflective
understanding is to meet the question for reflection by transforming the
prospective judgment from the status of a conditioned to the status of a
virtually unconditioned; and reflective understanding effects this
transformation by grasping the conditions of the conditioned and their
fulfilment.
[Ibid.]
This
is the general form of a virtually unconditioned judgment.
The
pivotal role of reflective understanding is to grasp the conditions of
the prospective judgment (i.e., “it will be so if such and such is the
case”), and to grasp also that those conditions are fulfilled (i.e.,
“such and such is the case”). When such an insight has taken place,
then the judgment is virtually unconditioned and can be made (i.e., “it
is so”). It is to be noted that this grasping of the conditioned and
its fulfilled conditions is an insight; that is, it is not a judgment.
It is expressed in a judgment that, indeed, the conditions are
fulfilled, and this results in another judgment answering yes or no to
the original question for reflection. But the actual grasping of the
conditioned and the fulfilled conditions is an act within the
cognitional structure that has the characteristics of an insight. It is
also important to note that the fulfilling conditions are another set of
data; that is, in addition to the data that originally gave rise to the
inquiry, the fulfilling conditions are to be found on Level I of the
cognitional process (the level of presentations). There is an insight,
then, into both sets of data connecting them to the same conjugates (or
formulated understanding, or hypothesis). Then the further insight
which is reflective understanding grasps the whole (both sets of data
and the insight connecting them to a formulated understanding)—it grasps
the whole as a virtually unconditioned grounding a judgment.
For the analysis behind this entire paragraph, see ibid., pp. 281-283.
Still, how does one know that such insights, which act as the pivot
between questions for reflection and judgments, are correct? Lonergan
resolves this question by distinguishing between “vulnerable” and
“invulnerable” insights. “Insights are vulnerable when there are
further questions to be asked on the same issue.” These further
questions can lead to further insights that may modify, complement, or
cause revision of the initial insight and explanation. “But when there
are no further questions, the insight is invulnerable.”
[Ibid., p. 284.]
It is invulnerable because only through the development of further
questions on the same issue can any modification of the insight occur. Lonergan
argues that this analysis reveals “a law immanent and operative in
cognitional process.” His analysis reveals that prior to a conceptual
distinction between correct and incorrect insights there can be found an
“operational distinction” between vulnerable and invulnerable insights.
The “immanent law of cognitional process” that may be formulated from
this analysis is that “such an insight [grasping the fulfilment of
conditions of the conditioned] is correct, if there are no further,
pertinent questions.
[Ibid.]
How does one judge that there are no further pertinent or relevant
questions? Lonergan here appeals to what he calls the “self-correcting
process of learning”:
Judgment on the correctness of insights supposes the prior acquisition
of a large number of correct insights. But the prior insights are not
correct because we judge them to be correct. They occur within a
self-correcting process in which the shortcomings of each insight
provoke further questions to yield complementary insights. Moreover,
this self-correcting process tends to a limit. . . . that
self-correcting process reaches its limit in familiarity with the
concrete situation and in an easy mastery of it.
[Ibid., pp. 286-287.]
Lonergan goes on to exhibit how this analysis resolves the problem of
induction
[Ibid., pp. 287-289; see also Thesis, p. 118.]
and how it reveals common sense and empirical science to be separate
universes of discourse using essentially the same process but operating
with different standards and criteria.
[Ibid., pp. 289-299.]
I will take up these issues at later points in my study.
Let
me summarize, then, how this analysis applies to empirical scientific
method. Earlier I discussed the elements of empirical scientific method
that correspond to Levels I and II of the cognitional process: Level I
is the marking out of the field of inquiry, observing the data, and
describing them. Out of this initial moment arise questions for
understanding, or what Lonergan also calls questions for intelligence.
These are the specific problems to be solved, and these constitute the
initial moment of Level II of the cognitional process. Insights occur,
which are the private understandings of the solutions to the problems,
and these insights are then expressed and formulated in hypotheses. The
hypotheses are the public statements of the understandings grasped in
the insights, and such expressions constitute the third and final moment
of Level II. But the scientist is not satisfied with explanatory
hypotheses. He or she is driven, personally and by the canon of
parsimony, to ask “is it so?” The asking of such questions for
reflection constitutes the initial moment of Level III of cognitional
process. In this subsection I have examined what generic operations are
involved in the terminal activities of empirical scientific method:
deduction, forecast or prediction, the devising of experiments, and the
testing of the hypothesis by the performance of the experiments. I have
also tried to identify what cognitive operations are involved when a
scientist declares that the performed experiments verify (or falsify)
the hypothesis being tested. In terms of Lonergan’s analysis, the
operations of deducing the implications of the hypothesis and predicting
what will happen in certain circumstances according to the hypothesis
are operations geared toward discovering the conditions of the
prospective judgment. Devising experiments to test the hypothesis is
determining how one can arrive at the data that will exhibit whether or
not the conditions are fulfilled. Finally, the performance of the
experiments provides the data in which those conditions are in fact
fulfilled or not fulfilled. These are all operations of reflective
intelligence. When the results of the experiments are available to the
scientist there occurs in him or her the insight of reflective
understanding grasping the conditions of the prospective judgment and
their fulfilment (or their lack of fulfilment). This insight is then
expressed in the statement (judgment) that the hypothesis has been
verified (or falsified).
Verification, then, is in the end a judgment. The making of this
judgment depends on the performance of a prior appropriate pattern of
acts or operations commonly referred to as checking, testing, or
verifying.
[See ibid., pp. 326-327.]
That appropriate pattern of operations determines the conditions of the
judgment, and the specific way of discovering if the conditions are
fulfilled. It generates a new set of data, and requires an insight
linking both new and originating data to the hypothesis. This insight
results in a judgment that indeed the conditions are fulfilled or that
they are not. This insight and judgment in turn enable the further
insight which is the reflective grasp of the virtually unconditioned.
This latter insight grounds the judgment that, yes, the hypothesis is
verified or, no, the hypothesis is not verified. If there are no
further pertinent or relevant questions, what was understanding (at the
final moment of Level II) has been transformed by judgment into
knowledge (at the final moment of Level III). If there are no further
pertinent questions, one now not only understands but also knows. One
has reached the real by verifying the understanding in the data, by
affirming it in an act of judgment.
This
analysis reveals why empirical scientific method can be called a
“normative pattern of recurrent and related operations.” This pattern
is normative because, as we have seen, the making of a judgment
(verifying) depends on the performance of the whole pattern of
operations: the judgment depends not only on the patterned operations of
reflective understanding (Level III), but also on the patterned
operations of Levels II and I. The judgment simply cannot be made
responsibly unless all the other acts or operations occur and recur in
precisely this pattern. This normative pattern, it is to be noted, is
essentially the expression of the nature of inquiry itself. That is,
the norm is not external and applied to the cognitional process, but
rather is carried internally in the dynamic of questioning. The demands
of this questioning can only be met by asking and answering the
questions in this way, and the demands with which questioning confronts
the inquirer only cease when one can finally make a virtually
unconditioned judgment.
This
analysis also reveals why empirical scientific method yields “cumulative
and progressive results.” I said above that judgment transforms
understanding into knowledge if there are no further pertinent
questions. But as anyone familiar with scientific work knows, there are
always further pertinent questions (whether the scientist is immediately
aware of them or not). This fact at once accounts for the cumulative
character of scientific knowledge and also for its limited or partial
character, and to these topics I now turn.
The Nature of Scientific Knowledge
Throughout his writing, whenever Lonergan discusses modern science he
always comments on the limited character of scientific knowledge in
contrast with the classic Aristotelean ideal of science
In addition to the reference in the following note, see these articles,
all in Second Collection: “The Future of Thomism, p. 51; “Belief:
Today’s Issue,” p. 94; “The Absence of God in Modern Culture,” pp.
103-104; “Theology and Man’s Future,” pp. 139-140; and “Revolution in
Catholic Theology,” pp. 234-235. See also Method, p. 15; and
Bernard J. F. Lonergan, Philosophy of God, and Theology
(Philadelphia: The Westminster Press, 1973 , pp. 6-7 (hereafter cited as
PGT).
The
following quotation will give some sense of Lonergan’s interpretation.
The
Greek conception . . . envisaged science as true, certain knowledge of
causal necessity. But modern science is not true; it is only on the way
towards truth. It is not certain; for its positive affirmations it
claims no more than probability. It is not knowledge but hypothesis,
theory, system, the best available scientific opinion of the day. Its
object is not necessity but verified possibility. . .1
Bernard Lonergan, “Dimensions of Meaning,” in F. E. Crowe, ed.,
Collection: Papers by Bernard Lonergan (New York: Herder and
Herder, 1967), p. 259; see also pp. 260-261. (This work hereafter cited
as Collection.)
In
our present context the important point is that the judgments of
empirical science are not absolute or certain judgments, but only
probable judgments, and this is because of the constant presence of
further pertinent questions. Thus the knowledge gained by a probable
judgment of verification in the empirical sciences is knowledge, but
incomplete knowledge; it is not an absolutely certain grasp of the
truth, but only a closer approximation to the truth.
Lonergan establishes this interpretation in his analysis of probable
judgments and the application of that analysis to the empirical
sciences.
[Insight, pp. 299-304.]
He
notes that probable judgments converge upon true judgments or approach
them as a limit. This seems to be a paradox, for how can the probable be
known to approach the certain, when the certain is unknown?
[Insight, p. 300.]
The
answer is that the knower is able to recognize when the truth is being
approached, and what enables that recognition is the “self-correcting
process of learning.”
As
we have seen, the self-correcting process of learning consists in a
sequence of questions, insights, further questions, and further insights
that moves towards a limit in which no further pertinent questions
arise. When we are well beyond that limit, judgments are obviously
certain. When we are well short of that limit, judgments are at best
probable. . . . In brief, because the self-correcting process of
learning is an approach to a limit of no further, pertinent questions,
there are probable judgments that are probably true in the sense that
they are approximate to a truth that as yet is not known.
[Ibid. See also Thesis, pp. 88-90.]
Applying this analysis to the empirical sciences results in the
conclusion that scientific judgments are no more than probable. They
can be no more than probable because an essential part of making a
scientific judgment (verification) is a return to the concrete in
testing, and the concrete always raises or may raise further’ pertinent
questions.
Empirical science gets its start by hitting off significant
correlations. The correlations implicitly define abstract correlatives.
But precisely because they are abstract, the return to the concrete is
greeted with further questions. . . .
The
generalization of classical laws, then, is no more than probable because
the application of single laws raises further questions that head
towards the systematization of a whole field. In turn, such
systematization is no more than probable until the limit of no further,
pertinent questions is reached. But that limit is not reached, first,
if there may be further unknown facts that would raise further questions
to force a revision or, secondly, if there may be further, known facts
whose capacity to raise such further questions is not grasped.
Similar considerations render the generalization of statistical laws no
more than probable.
Insight,
pp. 301, 302. Lonergan there gives examples from empirical science for
further clarification.
Hence a scientific judgment always carries with it a qualification: this
hypothesis is verified, so far as we know at present or so far as we can
tell at present. The scientific judgment does result in knowledge, but
it is a knowledge that is limited, partial, and always open to revision
in the future.
Yet
the same presence or possibility of further, pertinent questions which
reveals the limited character of scientific knowledge, also reveals the
cumulative and progressive character of scientific knowledge.
Questions yield insights that are expressed in hypotheses; the testing
of hypotheses raises further questions that generate complementary
insights and more satisfactory hypotheses. For a while the process
advances in widening circles; then the coherence of system begins to
close in; investigation turns from fresh ventures in new fields to the
labour of consolidation, of working out implications fully, of settling
issues that leave the general view unchanged. The self-correcting
process of learning is palpably approaching a limit.
[Ibid., p. 303.]
But
even in such situations in a developing science, new questions can
arise, new ways of considering old data, new questions that provoke the
perception of new data or that cause the scientist to see new
significance in old data. The questions raised in testing old
hypotheses may generate a new set of insights, resulting in a basic
revision in the science; the old hypotheses, laws, and standards are
found to be insufficient and new hypotheses, laws, and standards are
worked out.
[See Ibid., p. 166.]
Clearly progress in understanding has been made, and one can
characterize that progress as cumulative because the new insights,
hypotheses, and laws preserve “all that was valid in the old.”
[See Method, p. 5.]
For
example, Einstein’s theory of relativity does not totally discard
Newton’s theory of gravitation but rather, even while exhibiting its
limitations, includes it within the new theory of gravitation as a
special case. There has been progress in understanding and in
knowledge, and that progress is cumulative. The scientist can say that
while we have not yet grasped the truth completely, at least we are
closer to it now than we were before. Thus the cumulative and
progressive advance of scientific knowledge defines an asymptotic
approach to the truth.
In Insight, pp. 303-304, Lonergan suggests that there are lower
and upper limits to the progress of science. The lower limit is defined
by the ability to perceive sensible differences in the data. The upper
limit is defined by the invariant structures of cognitional process
which, Lonergan argues, imply a limit to the variation of theoretical
constructions. Since he takes up this topic in his analysis of
metaphysics, I will defer comment on this issue until Chapter III.
With
this we have seen the last of the main points in Lonergan’s
interpretation of empirical scientific method.
A summary of Lonergan’s interpretation of empirical scientific method
does not seem necessary here since I began my study with Lonergan’s own
summary statement. See Thesis, pp. 56-57 or Method, pp.
4-6.
It
has been necessary to treat his interpretation at length in order to
exhibit the thoroughness with which Lonergan considers the elements of
scientific method and also because in his analysis of it Lonergan
establishes several conclusions of great significance for his
interpretation of philosophy and, ultimately, of method in theology. It
is now time to attend to the relation between empirical scientific
method and philosophy in Lonergan’s thought.
Forward to
Lonergan's Interpretation of Scientific
and Philosophic Method: The Method of Empirical Science and
Philosophy
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