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Quine's
Critique of Reductionism
Quine took Whitehead’s comment, that logic
shapes metaphysical thought, beyond logic, and made it
a general theory of language.
One of the implications is Quine’s thesis of
the system-determined nature of semantics.
Thus the third milestone in "Five
Milestones" is the semantical shift from
sentences to whole systems of sentences.
This shift to a wholistic (or holistic) view of
the semantics of language is a central
characteristic of Quine's philosophy, although it went
through some retrogression.
He came to think that his earlier and more
radical Pragmatism implies an unwanted cultural
relativistic view of truth.
Consequently in the 1970's he attempted to
restrict the extent of his semantical wholism, so that
the semantics of theory is not viewed as contributing
to the semantics of observation language.
His first statement of his wholistic thesis is
what he later calls his metaphorical statement given
in "Two Dogmas of Empiricism" (1951), one of
his best known papers, reprinted in his Logical
Point of View and often found in anthologies.
The two dogmas he criticizes in this paper are
the Logical Positivist theses of analyticity and
reductionism. He
defines the reductionist thesis as the belief that
each meaningful sentence is equivalent to some logical
construct based on terms referring to immediate
experience. And
he notes that Carnap was the first empiricist who was
not content with merely asserting the reducibility
of science to terms of immediate experience, but who
actually took steps toward carrying out the reduction
in the Aufbau. Then Quine says
that while Carnap later abandoned this radical
reductionist effort, the dogma of reductionism continues
in the idea that to each synthetic (i.e. empirical or
nonanalytic) statement there is associated a unique
range of possible sensory events, such that the
occurrence of any of them would add to the likelihood
of truth of the statement.
Similarly for each synthetic statement there is
associated another unique range of possible sensory
events whose occurrence would detract from that
likelihood. This
dogma is implicit in the verificationist theory of
meaning, and it survives in the thesis that each
statement taken in isolation can admit of either
confirmation or "infirmation", which is to
say, either verification or falsification.
The view of empiricism that Quine advocates as
his alternative to reductionism is the thesis that
statements about the external world face the tribunal
of sense experience not individually, but only as a
corporate body. Quine
references Duhem in this context and his alternative
view of empiricism has since come to be known as the
"Duhem-Quine Thesis.”
However, while Quine references Duhem in “Two
Dogmas”, his wholistic view is more radical than
Duhem’s, because Quine purges Duhem's philosophy of
physical theory of its Positivism by ignoring Duhem's
two-tier semantics, which led to Duhem's distinction
between "practical facts" and
"theoretical facts.”
Quine's treatment here of the difference
between observation and theory is not a Positivist
semantical metatheory.
Furthermore, Quine's radical wholism does not
admit a distinctive semantical status even for pure
mathematics and formal logic.
Speaking metaphorically Quine says that the
totality of our beliefs including mathematics and
logic is a man-made fabric, which impinges on
experience only along the edges.
Then mixing metaphors he describes total
science as a field of force whose boundary conditions
are experience in which the laws of logic and
mathematics are simply statements in the field that
are more remote from experience.
Any conflict with experience at the periphery
occasions adjustments in the interior of the field,
such that truth values must be redistributed over some
statements, and a re-evaluation of some statements
entails re-evaluation of others due to the logical
connections among them.
The enabling feature of Quine's wholistic
doctrine of empiricism is his thesis that the total
field is so empirically "underdetermined"
by its boundary conditions, which are experience, that
there is much latitude for choice as to what
statements to re-evaluate in the light of any single
contrary experience.
And the criterion governing the choice of
beliefs in the underdetermined system is entirely
pragmatic, where the objective is a relatively
simple conceptual scheme for predicting future
experience in the light of past experience.
The thesis of the empirical underdetermination
of language can be traced to Duhem's view of
scientific theory.
Duhem said that there could be many theories,
all equally empirically adequate, that explain the
same phenomenon.
But Quine furthermore extends Duhem's thesis to
include not just theory but all of language including
observation language. He maintains that no statement is immune from revision, and
he notes that revision even of the law of the excluded
middle has been proposed as a means of simplifying
quantum physics.
Quine notes that there is a natural tendency
when making revisions to disturb one's existing system
of beliefs as little as possible, with the result that
those statements that we are least likely to revise
are those that have sharp empirical reference, while
those that we are most likely to revise are those more
theoretical statements that are relatively centrally
located within the total network or web of beliefs.
Later in his Philosophy
of Logic (1970) this natural tendency becomes the
"maxim of minimum mutilation", an idea
similar to James' thesis of "minimum
disturbance" in the latter’s Pragmatism
(1907).
Quine's most elaborate statement of his
wholistic thesis is set forth in his first full-length
book, Word and
Object (1960).
Instead of the metaphorical statement of his
view in "Two Dogmas" a decade earlier, here
he expresses his thesis in the literal vocabulary of
behavioristic psychology.
Much of the book is an exposition of his thesis
of semantic indeterminacy as it is manifested in
translation between languages, and thus appears as his
indeterminacy of translation thesis.
In the translation situation he portrays the
field linguist in the same situation that Carnap
postulates in "Meaning and Synonymy in Natural
Language", where Carnap attempted to describe how
the field linguist can ascertain a term's intension by
identifying its extension from the observed behavior
of native speakers of an unknown language.
Carnap admitted that this determination of
extension involves uncertainty and possible error due
to vagueness, but he excused this uncertainty and risk
of error because it occurs even in the concepts used
in empirical science. While this admission of extensional vagueness in science made
the fact unproblematic for Carnap, it had just the
opposite significance for Quine.
For Quine extensional vagueness is an inherent
characteristic of language that he calls
"referential inscrutability", and which he
later calls "ontological relativity.”
And what Carnap called the intensional
vagueness, Quine prefers to consider as a semantical
indeterminacy in stimulus meaning but without
admitting intensions.
Quine rejects Carnap's thesis of intensions,
explicates his own theory of meaning in terms of
behavioristic psychology, and proposes his doctrine
of "stimulus meaning.”
Stimulus meaning is a disposition by the
native speaker of a language to assent or dissent
from a sentence in response to present stimuli, where
the stimulus is not just a singular event but rather a
"universal", a repeatable event form. Stimulus meaning is the semantics of those sentences that
Quine had earlier described metaphorically as
positioned at the edge of the system of beliefs viewed
as a force field, as opposed to the more theoretical
sentences that are in the interior of the field.
In Quine's philosophy the idea of stimulus
meaning is not a special semantics, but rather is an
attempt to isolate the net empirical content of each
of various single observation sentences without regard
to the theory that contains them yet without loss of
what the sentence owes to that containing theory.
This attempt to isolate the semantics of
observation language is a move away from his earlier
critique of reductionism, where reductionism is
understood as statements having a unique range of
possible sensory events, such that the statements can
be criticized in isolation.
But at this stage Quine still retains his
original thesis of empirical underdetermination, in
which empirical underdetermination is integral to his
wholistic thesis of semantical indeterminacy or
vagueness.
The underdetermination thesis admitting
multiple and alternative observation sentences for the
same stimulus situation presents a question: how can
the same stimuli yield alternative stimulus meanings?
One of Quine's answers is that the alternative
theories or belief systems in which the stimulus
situation is understood, supply different significant
approximations. But
there still remains the question of how stimulus
meanings are to be construed as approximations.
Quine has a theory of vagueness that he sets
forth in the third and fourth chapters of Word
and Object, which resembles the latter
Wittgenstein's thesis of paradigms, except that Quine
explicitly invokes the behavioristic stimulus-response
analysis of learning.
On this analysis Quine rejects the view that
stimulations eliciting a verbal response
"red" are a well defined or neatly bounded
class. He
maintains that the stimulations are distributed about
a central norm, which when a language is initially
being learned, may be a very wide distribution.
The penumbral objects of a vague term are the
objects whose similarity to those for which verbal
response has been socially rewarded in the learning
process, is relatively slight.
The learning process is an implicit induction
on the part of the subject regarding society's usage,
and the penumbral cases are those words for which that
induction is most inconclusive for want of evidence,
because the evidence is not there to be gathered.
And society's members have had to accept
similarly fuzzy edges when they were learning. There
is an inevitability of vagueness on the part of terms
learned by ostension, and it carries over to other
terms defined by context on the basis of these
ostensively learned terms.
Since Russell Hanson’s Patterns
of Discovery (1958) the participation of
theoretical concepts in the semantics of observation
language is often expressed by saying that observation
is "theory-laden.”
And this semantical participation of theory in
observation has made problematic the objectivity of
observation, and therefore the decidibility of scientific
criticism. In
1968 in "Epistemology Naturalized" in Ontological Relativity Quine states that Kuhn and Hanson among
others have tended to belittle the role of evidence in
science and to accentuate cultural relativism, and
that such philosophers represent a wave of
epistemological nihilism.
He notes Hanson maintains that observations
vary from observer to observer according to the amount
of knowledge that the observers bring with them.
Thus one man's observation is another man's
closed book or flight of fancy, with the result that
observation as the impartial and objective source of
evidence for science is bankrupt.
At this stage of Quine's thinking the
semantical contribution of theory to observation is
still problematic for him, but he continued to
characterize observation language in terms of
behavioristic theory of learning.
In the chapter titled "Observation"
in his The Web
of Belief (1970) Quine says that an observation
sentence is a sentence that can be learned ostensively
by the association of heard words with things
simultaneously observed, an association which is
conditioned and reinforced by social approval or
successful communication, and which becomes habitual.
And due to the social character of its
learning, the observation sentence must be
understandable by all competent speakers of the
language who might be asked to assent to it. Thus according to Quine the sentence "That is a
condenser" is not an observation sentence, even
if experts agree to it.
Quine maintains contrary to the Positivists,
that what qualifies a sentence as observational is not
the lack of theoretical terms that may occur in theory
formulations, but just that the sentence taken as an
individual whole commands assent consistently or
dissent consistently when the same global sensory
stimulation is repeated.
This behavioristic characterization initially
enabled Quine to evade reference to semantics in his
identification of observation language, and thereby to
separate his view from that of the Positivists, who
defined observation language in semantical terms.
But in attempting to avoid a cultural
relativist view of truth he thought he found in the
likes of Hanson, Quine found himself getting back into
the semantics of observation with the very Positivist
objective of keeping the semantics of observation
uncontaminated by that of theory.
After Word and Object and Web of
Belief Quine further developed the Duhem-Quine
thesis in his "On Empirically Equivalent Systems
of the World" in Erkenntnis (1975), which as it happens had in 1930 been made the
official journal of the Vienna Circle.
This development of the Duhem-Quine thesis
represents a further restriction on Quine's earlier
version on his wholistic semantical thesis of
observation. Previously
he had viewed empirical underdetermination as integral
to semantical indeterminacy or vagueness in his
semantical wholism.
But in this paper he revises the concept of
empirical underdetermination of language, and
separates it from the wholistic view of the
Duhem-Quine thesis.
The scientific hypotheses that purport to
describe things beyond the reach of observation are
related to observation sentences by a kind of one-way
implication, such that many alternative hypotheses may
imply the same set of observation sentences, but not
vice versa. Observation
sentences do not uniquely imply just one theory
purporting to explain the observable events.
It now is in this sense that natural science is
"empirically underdetermined" by all
possible events.
Quine says that underdetermination lurks where
there are two irreconcilable theory formulations each
of which implies exactly the desired set of
observation conditionals plus extraneous theoretical
matter, and where no formulation affords a tighter
fit. In
Quine's vocabulary the phrase "observation
conditional" is an empirical generalization
expressed in conditional form and implying an
observation sentence describing an individual event.
And his phrase "theory formulation"
is a conjunction of the axioms of a deductive theory,
which implies observation conditionals.
This is a different sense of "empirical
underdetermination" than what Quine meant in
"Two Dogmas", because it resurrects the idea
of a semantically neutral observation language, which
philosophers such as Hanson, Kuhn and Feyerabend
reject. These
philosophers find a phrase such as "same
observation sentences" when speaking of sentences
implied by alternative theories to be very
problematic; they deny that different theories can
have the same set of observations due to the
contribution of the semantics of theory to the
semantics of observation language.
Having revised "empirical
underdetermination", Quine then distinguishes his
revised concept from the wholistic doctrine of the
Duhem-Quine thesis.
He reiterates that the wholistic doctrine says
that scientific statements are not separately
vulnerable to adverse observations, since it is only
jointly as a theory that they imply their observable
consequences, with the result that any one of the
statements can be adhered to in the face of adverse
observations by revising others.
Then he states that wholism lends credence to
the underdetermination thesis, because in the face of
adverse observations we are free always to choose
among various adequate modifications of our theory,
and all possible observations are insufficient to
determine theory uniquely.
Also in this work Quine considers several
criticisms or "reservations" about the
wholism of the Duhem-Quine thesis, and in his defenses
he will pick and choose between underdetermination
(revised) and wholism (unrevised). The first criticism
is that some statements closely linked to observation
are separately susceptible to tests of observation,
while at the same time these statements do not stand
free of theory because they share much of the
vocabulary of the more remote theoretical statements.
Quine answers that the Duhem thesis does not
imply equal status for all statements.
He says that the Duhem thesis applies even for
observation statements, since scientists do
occasionally revoke observation statements when these
statements conflict with a well attested body of
theory, and when the experiment yielding the
observation cannot be replicated.
This is such a weak concession to semantical
wholism and the indeterminacy of observation, that
it effectively limits wholistic theory participation
in the semantics of observation language to the
status of errors of observation.
A second reservation pertains to the breadth of
the theory: If it is only jointly as a theory that
scientific statements imply their observable
consequences, then how inclusive does that theory have
to be? Does
the wholistic scope have to include the whole of
science taken as a comprehensive theory of the whole
world? Quine
sees science as an integrated system of the world as
science exists at any point in its historical
development, but unlike the Positivists he does not
view it as integrated by reductionism into a single
unified science.
He says that Duhem wholism admits that science
is neither discontinuous nor monolithic, but as
variously joined and loose in its joints in varying
degrees. Later
in "Five Milestones" Quine elaborates on
this idea by saying that all sciences interlock to
some extent not only due to a common logic and
mathematics, but also because small "chunks"
may be ascribed their independent empirical meaning
nearly enough, since some vagueness in meaning must be
allowed for. This
defense based on vagueness calls upon the semantical
indeterminacy that enables wholism.
A third reservation is that the semantical and
ontological wholism may imply a cultural relativistic
view of truth. Quine
denies that his wholism implies a cultural
relativistic view of truth.
His first argument is external to the wholistic
thesis. He
finds a paradox in the thesis of cultural relativism:
if truth were culture bound, then the advocate of
cultural relativism ought to see his own culture-bound
truth as absolute.
The cultural relativist cannot proclaim
cultural relativism without rising above it, and he
cannot rise above it without giving it up.
Quine then turns to the issue of irrationality
of theory choice, the argument for cultural relativism
that is internal to wholism.
He argues that the choice between empirically
equivalent alternative systems need not be irrational;
he says he will settle for a "frank dualism.”
He says that oscillation between rival theories
is standard scientific procedure, because it is thus
that one explores and assesses alternative hypotheses.
In this defense Quine switches between
underdetermination and wholism.
Rationality of theory choice is based on
comparability of theories permitted by a neutral
observation language, that is admitted by Quine's
revised underdetermination thesis, since it is only
theories and not observations that are incompatible.
The dualism is therefore merely one due to
empirical equivalence.
But the idea of empirical underdetermination as
newly revised in this article is not the context in
which the issue of irrationality of theory choice
emerges. It
emerges in the context of wholism where theory
participates in the semantics of observation language.
Quine switches to the wholistic context, when
he says that whatever we affirm, we affirm as a
statement within our aggregate theory of nature as we
now see it, and that there is no extratheoretic truth.
Quine's frank dualism has not been very frank
in this defense.
Quine's revised concept of empirical
underdetermination is not consistent with his
semantical wholism. The
revised concept of underdetermination permits a
neutral observation language, while the Duhem-Quine
wholism continues to permit theory to resolve the
vagueness in the semantics of observation language.
Quine eventually recognized this inconsistency.
Just as he imposed logical one-way restrictions
for his revised concept of empirical
underdetermination, he found that he must impose
semantical one-way restrictions in the semantical
wholism of the Duhem-Quine thesis.
In his "Empirical Content" (1981) in Theories
and Things, which he notes contains
"echoes" from "Empirically Equivalent
Systems of the World", Quine explicitly uses
Hanson's terminology saying that observation sentences
are "theory-laden.”
But Quine reconstrues the intended meaning of
Hanson's phrase to mean that the terms embedded in
observation sentences may recur in theory
formulations. Thus
while Quine here says that observation sentences are
theory-laden, he denies to the semantics of theory
any participating role in the semantics of
observation. In
fact in Quine's construing of "theory-laden"
it is not observation language that is theory-laden,
but rather theory that is observation-laden.
At least he did not revert to the old Carnapian
reduction sentences, to make theory observation-laden.
Still later in "Truth" in his Quiddities
(1988) he is explicitly reconciled about refusing to
admit theory any resolving function in the semantics
of observation. There
he says that we work out the neatest world system, and
we tighten the squeeze by multiplying the
observations. Tightening
the squeeze in observation sentences is the
progressive reduction of vagueness but only by the
addition of information in additional observation
sentences. Quine's limitation on which contexts may
resolve vagueness and which ones may not is arbitrary
and ad hoc.
His wish to make observation sentences
semantically uncontaminated by theory is a Positivist
atavism, even though his motivation is not
characteristically Positivist. His point of departure was not a preconceived semantics for
observation; he attempted a behavioral (behavioristic)
characterization of observation language instead.
Still, he believed that an unrestricted
wholistic, theory-dependent, context-determined
semantics encompassing both theory and observation
language implies a relativistic and subjectivist
philosophy of truth.
Fear of a relativistic view of truth led him to
revise his original version of his Duhem-Quine thesis.
Quine the logician always saw theory language
as an axiomatic system with observation language
serving as its derived theorems.
For Quine, Isaac Newton's mechanics is still
"theory" today.
On the Pragmatist concept of scientific theory,
however, theory language is identified not by contrast
to an observation semantics or by semantics at all,
but by reference to its function or pragmatics in
science: it is discourse that is proposed for
testing in contrast to that which is presumed for
testing. Thus, observation language need not be exclusively
identified as either theory or nontheory language
(unless the Pragmatist simply chooses to define
"observation" correlatively to his
functional definition of "theory").
And all contexts consisting of explicitly or
implicitly universally quantified sentences believed
to be true operate to resolve the vagueness in the
meanings of their common univocal terms.
Quine's view is not a Pragmatist view of theory
based on the function of theory in empirical basic
science, but is better characterized as an archival
concept of theory, or what Hanson called an
"almanac" view. Correspondingly his concept of observation language is an
archival concept of observation language.
Quine believed that this archival view would
enable him to make observation language a repository
of permanent truth.
And his motive is his wish to evade the
relativistic view of truth, which he believed is
implied by the unrestricted context determination of
semantics.
More recently a member of Quine’s
intellectual entourage, Donald Davidson, has attempted
to evade semantical relativism with a turn to
instrumentalism.
Davidson’s principal statement of his thesis
is set forth in his “The Very Idea of a Conceptual
Scheme” (1974) and “Belief and the Basis of
Meaning” (1974) reprinted in his Inquiries into Truth and Interpretation (1984), a book he dedicates
to Quine with an inscription ”without whom not.”
He rejects the representationalist view of the
semantics of language, which he considers a third
dogma of empiricism after the first two referenced by
Quine in the latter’s 1952 “Two Dogmas” article.
Like Dewey’s rejection of the dualism of
“experience” and “nature” Davidson rejects the
dualism of “scheme” and “world”, of
“conceptual scheme” associated with language and
“empirical content”, of “organizing system and
something waiting to be organized”, that he finds in
the views of Whorf, Kuhn, and Feyerabend. In this manner he remains more faithful to Quine’s original
behaviorism than Quine did.
Given the mutual and reciprocal determination
of between belief and semantics, the decision
necessary for interpreting another’s discourse is to
maximize our shared beliefs, such that there can be no
basis for concluding that others have concepts or
beliefs radically different from one’s own.
Davidson concludes that in giving up the
dualism of scheme and world, we do not give up the
world, but rather re-establish “unmediated touch”
with the familiar objects that make our sentences and
opinions true or false.
Thus Davidson argues that there is no
conceptual relativism, because there are no conceptual
schemes to be relativistic.
But Davidson’s conclusion is a non
sequitur. Firstly
he confuses two distinct questions: one is the
question of what is meaning, and the other is the
question of what is the meaning of a term, sentence,
or theory and how is this determination made.
The existence of conceptual schemes is an
answer to the former question, and his behavioristic
procedure is his answer to the latter one.
The answers are made interdependent only
because Davidson is a behaviorist, which is to accuse
him of being a Positivist.
And his Positivism makes him inconsistent with
Quine’s and his acceptance of ontological
relativity, because Positivism requires a prior
ontological commitment.
Davidson does not practice ontological
relativity in his own philosophical discourse.
Secondly the word “unmediated” in his
phrase “unmediated touch”, which purportedly
justifies his denying language its representational
semantics, is a weasel word.
In fact the interpreter’s charitable decision
required for interpretation does not imply any
rejection of the representational nature of the
semantics of language.
This interpretative decision is operative when
someone uses a dictionary with the charitable
assumption that its lexical entries are true, so that
he can assimilate the meanings of the terms he is
researching. And
also when a community of scientists in a profession
considers an experiment and agrees on the validity of
the test design statements, so that the scientists can
describe the phenomenon under examination and the
experiment’s outcome.
Neither the thesis of the charitable decision
required for communication nor the thesis of the
interdependence between truth nor meaning imply any
rejection of the representational nature of the
semantics of language; representationalism is
perfectly consistent with both theses.
“Representation” may be a weasel word,
because there survives an atavistic belief residual
from modern philosophy including Positivism, that the
knower is a spectator to his ideas.
Of course the knower can be a spectator of his
ideas, but this inspection is a reflection ex
post facto to his firstly already having the
inspected knowledge of the real world.
Apart from this secondary reflective knowledge,
the spectator thesis about knowledge of the real world
is readily rejected, when we realize that what we know
firstly is not our ideas, but the real world, and most
notably that our knowledge is thus constituted by our
ideas rather than the ideas being an object of
knowledge. Contrary
to Davidson, therefore, these and their schemes are
quite admissible, and they very much involve
semantical relativism.
Both Quine and Davidson are motivated to evade
semantical relativism, because both mistakenly believe
that a relativistic, context-determined, semantics
implies a relativistic thesis of truth.
Regardless of how culture-bound and
context-determined may be the semantics of a language,
it is not possible capriciously either to affirm or to
deny truthfully just anything expressed by sentences
made with those concepts.
The empirical underdetermination of language
implies that many alternative sentences can be said
which are consistent with the same observations.
Still, the empirical constraint imposed
exogenously on sentences by the recalcitrant real
world - even when not yet interpreted - forbids just
any arbitrary distribution of truth-values over a
set of logically related, semantically interpreted
grammatical sentences.
When any subset of these sentences is given
definitional force to specify its semantics, then only
some of the remainder sentences containing the same
descriptive terms can also be true.
Truth is always relative to what is said, but
the real world in which all language users live
forbids ingenuously asserting just any old thing in
the semantically interpreted language.
Therefore, semantical relativity does not imply
relativism of truth, but just the opposite: with a
metatheory of semantical description exhibiting the
composite nature of meanings, semantical relativity
explains the partial equivocation that makes it
impossible for the same sentences occurring in two
different belief systems, to be completely true in one
belief system and completely false in another. It explains how the same sentence is not simply and
completely the same statement in each system, but is
partially the same in each, and to that extent true in
both systems. And
for the same reason it also explains why the semantics
of observation language need not be quarantined from
the semantics of theory, in order to assert the
objectivity of truth. Observation statements, which
pragmatically defined are merely singular test design
statements, may be common to pragmatically defined
contrary theories, such that belief in the test design
statements makes the test outcome contingent and not
willfully or necessarily verifying, and makes a
falsifying test outcome of one of the theories an
objective truth.
Each person acquires the semantics of what
Quine calls observation sentences from his own
personal experiences, and he acquires it publicly and
ostensively in the circumstances of his learning
situation in his personal history.
There is a wide variation among people
between what is learned ostensively and contextually,
but even for those simple statements learned
ostensively by most people, intersubjectivity is
increased with successive approximation, as the web of
belief grows and imposes increasingly more shared
truth conditions on the ostensively acquired
semantics. The
entire web of beliefs may be viewed on analogy with an
underdetermined system of conditional equations, in
which the addition of a new equation further restricts
the range of numeric values that the set of variables
may accept as solution sets. One difference between the mathematical system and the
language system is that with just a sufficient number
of restrictions the equation system may admit to only
one solution set, whereas language is never restricted
to a unique interpretation.
Another noteworthy departure from the
mathematical analogy is that the mathematical
variables can take only one numeric value at a time
without becoming ambiguous, while each of the
descriptive terms, including those used as
mathematical variables in applied mathematics in
empirical science, simultaneously take on the semantic
values distinguishable in the explicitly related
universal statements in the system of beliefs, subject
only to the preservation of univocity.
Thus all the terms explicitly related by the
sentences in the web of beliefs may participate in one
another's univocal semantics, and thereby resolve one
another's vagueness in relation to each other.
Furthermore as implicit statements are made
explicit by deduction, the vagueness in the meanings
of the terms of the system is even further resolved.
But Quine viewed meanings as abstract or mental
"entities", and then developed his
behavioristic theory of stimulus meanings, which he
called "behavioral dispositions" to evade
the representative function of language.
He could not be expected to have developed a
metatheory of semantical description enabling him to
describe how meanings participate in one another.
The closest Quine came to the idea of
semantical participation was the idea of the
resolution of vagueness.
His rejection of the dichotomous
analytic-synthetic distinction is a worthy start
toward such a metatheory, but his rejection of the
distinction was actually a rejection of analyticity as
such, except in the cases that he called
"analytical hypotheses" used for
translations. As
it happens, rejection of the analytic-synthetic
dichotomy does not imply the rejection of analyticity
as such. Universally
quantified statements believed to be true for
empirical reasons may also be used analytically to
exhibit the complexity in the meanings of their
constituent terms by displaying their component
semantic values that constitute the discriminating
capability in the descriptive function of the
language. In
other words all universal empirical statements in the
web of beliefs are analytical hypotheses.
And theories are those that are viewed as
relatively more hypothetical than other empirical
statements.
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