Metaphorical Indeterminacy and the Primacy of Language
Transcript of Metaphorical Indeterminacy and the Primacy of Language
Wheeler Metaphorical Indeterminacy page 1
Metaphorical Indeterminacy and the Primacy of Language
Samuel C. Wheeler IIIUCONN, Philosophy [email protected]
This essay is an argument for a Davidsonian-Quinean
conception of language and its relation to the world via an
argument for the reality of indeterminacy. In the process,
it discusses indeterminacy of metaphorical utterance. This
phenomenon is quite evident and commonplace, but has been
ignored in the literature.
The first section (1) sketches some of the features of
the conception of language common to Davidson, Quine, and
Derrida and argues that indeterminacy is a prediction of
this conception. Thus a plausible intuitive class of cases
of indeterminacy would be a powerful argument for the
conception.
The next section (2) outlines this class of cases, the
indeterminate metaphors. The following section (3) outlines
the simple technical fix available on Davidson’s theory that
accommodates indeterminate metaphors, and justifies it.
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Section (4) returns to the general phenomenon of
indeterminacy and applies the technical fix to vagueness and
indeterminacy of interpretation. A Davidsonian has available
a simple harmless epistemicist account of vagueness and
indeterminacy of interpretation, as well as of indeterminacy
in metaphor. Given that it is an epistemicist account,
“indeterminacy” should be rephrased as “indeterminability.”
1) The issue of indeterminacy
A fundamental affinity between Jacques Derrida, W.V.
Quine, and Donald Davidson is the shared thesis that meaning
is language. That is, language is not an arbitrary medium
for encoding thoughts that have intrinsic meaning, but the
fundamental meaningful phenomenon. Language is as good as
“representation” gets. One way I have expressed this thesis1
is as the denial that there is a “magic language,” a
language whose elements are self-interpreting, about which
there is no question of interpretation.
If there are no intrinsically meaningful entities
behind language, then, since words are have the meanings
1 In “ Derrida, Davidson, Knapp and Michaels on Intentions in Interpretation,” in Deconstruction as Analytic Philosophy, Stanford UP, 2000.
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they do only contingently, meaningful language must derive
its meaning from relations to speaking organisms and their
environments. A plausible consequence2 of this conception of
language is that on occasion, at least, interpretation is
indeterminate, in the sense that the words plus the total
surroundings do not fix the interpretation. For reasons
discussed below, such relations to speakers and environments
underdetermine both meaning and the application of the
intentional concepts connected with meaning. So
indeterminacy in that derivation is indeterminacy in
principle—there is no deeper fact of the matter. Quine’s
indeterminacy of translation, Davidson’s indeterminacy of
interpretation, and various Derridean metaphors name this
phenomenon.
Without self-interpreting meanings behind language
there is no longer any explanatory “correspondence”3 between
2 The detailed arguments for this “consequence” are discussed not only in Quine’s 1960 and 1969 and in Davidson’s 1984, but in numerous secondary sources on Quine and Davidson. The arguments in Derrida’s workare discussed in my 2000.3 Davidson discusses “correspondence” and the differences between his formulaic correspondence (“`Fred is a frog’ is true if and only if Fred is a frog”) and metaphysical notions of correspondence in numerous essays, including his 1996.
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the words and the reality the words represent. For Derrida,
demonstrations of indeterminacy undermine the applicability
of “true.” Derrida takes metaphysical correspondence, word-
meanings matching a given reality, to be the central idea of
truth. If such correspondence does not obtain, then “truth”
turns out not to strictly apply to any of our talk or
writing. The idea of truth is, roughly speaking, a
metaphysical fiction, according to Derrida. Very briefly,
Derrida’s approach takes as a premise the metaphysical point
of view about truth, that truth is supervenient on being and
a privileged mapping of utterances onto being, and argues on
that basis for the conclusion that nothing corresponds to
truth. I find Derrida’s argument quite persuasive, but
cannot accept the conclusion. Therefore, I have to reject
the thesis that the metaphysical notion of truth as
correspondence of self-interpreting meanings to a given
reality is the correct notion of truth. In this I follow
Davidson.
Davidson takes the consequence that truth cannot be
“correspondence” as usually conceived to be a thesis about
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what a theory of truth must be like rather than a
demonstration that there is no such thing as truth.
Davidson, following Quine’s “On What There Is,”4 takes being
to be supervenient on truth. Quine’s empiricist background
required that a question about “what exists” be put in
empirically comprehensible terms. Quine’s view is that such
a phrase can only be sensibly interpreted as “what must
exist in order for the sentences we accept to be true.”
Quine’s empiricism thus leads to the reverse order of
precedence between being and truth from the metaphysical
one. Beings are what must be postulated to organize or
account for the truths according to our theory. In effect,
beings are, for Quine, an organizational feature of a
theory. What are organized are stimulus inputs. Different,
non-equivalent organizational accounts can organize inputs
equally well.
Davidson argues that this relativism in Quine’s account
can only arise if Quine violates central empiricist, anti-
essentialist premises in supposing a metaphysically basic
4 In Quine 1963.
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given starting point. Davidson thus modifies Quine’s
approach by replacing “truth in our theory” with “true.”
Beings are what must exist in order that the truths obtain.
That is, a theory of reference is conceptually posterior to
a theory of truth. Beings for Davidson organize truths.
An “organized” set of truths for Davidson requires that
the truths be part of a language that has a truth-
definition. A truth-definition is an algorithm that
generates the meanings of new sentences on a finite basis. A
truth-definition, a compositional theory of the meanings of
the sentences of the language, is required to explain the
simple fact that speakers and readers can comprehend novel
sentences. As the name implies, truth is the central concept
of a truth-definition.
A truth-definition is constructed for an individual at
a time by applying the intentional scheme, that is, by
interpretation. The intentional scheme consists of the
concepts of belief, desire, action, meaning, intention, etc.
Belief, desire, intention, and action are characterized by
ascribing content to them. A particular belief is specified
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as, for instance, the belief that Fred is a frog. A truth-
definition is thus a systematic account of possible contents
of beliefs, desires, etc. The truth-definition is arrived at
simultaneously with the assignment of contents, i.e.
meanings, to exactly such attitudes. Hypotheses about a
actor’s beliefs and desires justify ascription of contents
to speech actions. In such application, essentially
normative or probabilistic connections between the
environment and elements of the intentional scheme are
applied in order to ascribe contents to beliefs and desires
and meanings to utterances produced intentionally. An
interpretation is the outcome of such application to a
speech act in an environment. Given the normative and
probabilistic connections on which an interpretation is
based, multiple incompatible equally well-founded
interpretations can be given for a speech action.
For Davidson, this indeterminacy is an unsurprising
technical problem. Given that meaning is truth-conditions
and that semantic compositionality amounts to an account on
which the truth-conditions of a compound sentence are a
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function of the truth-conditions of the components of the
sentence, components must have truth-conditions or
satisfaction-conditions. Such conditions have the form “`Joe
is a frog’ is true if and only if Joe is a frog”, for truth,
and “`Is a frog’ is true of Joe if and only if Joe is a
frog,” for satisfaction. Such truth-conditions just relate
mentioned and used language, and do not support a
metaphysical notion of correspondence.
Indeterminacy is a prediction of the central thesis of
a Davidsonian and a Derridean account of language and
thought. Is that prediction confirmed? “Confirmation” would
consist of intuitive judgments about what goes on when we
use language. But intuitions that bear decisively on
indeterminacy are hard to separate from theory. Consider the
thesis an opponent to Davidson would advance that “We know
what we mean.” Davidson and Derrida would concede that we
know what we mean. In the disquotational sense, everyone
knows what they mean. If Joan says, “Joe is a frog,” she
knows the truth-conditions of what she says to be that Joe
is a frog. If Davidson is right, speakers do know what they
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mean, in the robust sense his theory acknowledges. Likewise,
we seem to know what we believe, know what we intend, and
know what we want. Quine’s attempt in his “Ontological
Relativity”5 to persuade readers that “regress to a
background language” somehow leaves reference relative is
thus unpersuasive to very many readers.
Likewise, for most readers who are analytical
philosophers, neither Derrida’s arguments against Husserl6
nor his attempts to persuade the reader of the hopelessness
of supposing determinate meanings behind words are
effective. A metaphysician willing to posit transcendent
Fregean senses or to adopt a version of modern essentialism
is unmoved. For such metaphysicians, essences and abstract
propositions are theoretical posits required to explain the
phenomena of determinate meaning.
A persuasive intuitive case of indeterminacy would be a
persuasive argument for an account of language that predicts
it. Thus the fundamental metaphysical issue, “Are there
5 Quine 1969.6 In Derrida 1973. Derrida’s arguments there do for phenomenology what Quine’s “On What There Is,” in Quine 1963 do for analytic philosophy, inmany ways.
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self-interpreting meanings that underlie language?” would be
addressed by a case of indeterminacy that yielded intuitions
that indeed there is nothing but language here.7 The next
section displays a class of cases of indeterminacy that are
intuitively persuasive.
2) Metaphorical indeterminacy
a) metaphor and intention
One of the widely-accepted Davidsonian analyses is his
account of metaphor and other figural uses of language.
7 There are indeed a lot of phenomena connected with language—imagery, history, associated probabilistic generalizations, learning phenomena and so forth, not to mention the brain activity discussed by the Churchlands. But, given the irreducibility of truth and true-of to any other phenomena, and given that meaning is truth and true-of conditions,that “more” doesn’t constitute something that gives us “the meaning” of a predicate. So, we don’t know what we mean in any semantical way that goes beyond knowing the Davidsonian truth-conditions of what we say.
The “more” that many philosophers of language wish to add to the meaning of terms and sentences is the collections of evidence that make an assignment of meaning to an utterance reasonable. Such collections would give rise to formulae such as “the meaning of a word is a functionof its role in the culture” or “the meaning of an utterance is given by the pattern of inferential relations it bears”. Such formulae would be good definitions only if any of truth, meaning, belief, intention, and so forth were reducible to some subset of the others. A Davidsonian has given up on such reductions of some of the notions to some of the others. Roughly, according to Davidson, all the connections are “necessarily mostly” connections—that is, there are a priori synthetic connections among each of the concepts in the “intentional scheme,” and of the concepts collectively to an objective world outside the mind, butno such connections are absolutely general. A part of holism, given thatone is not willing to write off the existence of intentional phenomena altogether, as Quine seems to have been, is that truth, meaning and propositional attitudes, including intentions, are irreducible.
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Davidson gives a pragmatic or rhetorical account of
metaphor. An utterance or an application of a predicate to
an object is figural if the speaker intends to bring about a
figural effect by uttering something literally8 false. The
key idea is that of distinguishing the truth-conditions of
the sentence said or written from the purposes the speaker
or writer has in producing it. Metaphor and other figural
language is thus, for Davidson,9 a rhetorical phenomenon
rather than a matter of a “metaphorical meaning” that is
generated from the literal meaning.10
An analogy is with sarcasm. Few would think that a
sarcastic remark is uttered with a special derived sarcastic
meaning in addition to the literal meaning of “good job,”
when the bucket of paint spills. Rather, since it is
apparent that the event was an error, and it is apparent
8 “Literally false” can be understood as “believed false by the speaker,” when the topic is one the speaker is not likely to be mistakenabout. Davidson, realizing the implicit appeal to non-linguistic meanings that “literal” implies, switches to “first meaning” in later discussions.9 In agreement with Paul DeMan and other “deconstructive” thinkers. See Wheeler, “Davidson and DeMan on Metaphor,” in Deconstruction as AnalyticPhilosophy.10 This is an aspect of “semantic innocence,” the view that words do notchange their meanings according to context. “Semantic innocence” can be construed as an application of Occam’s Razor.
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that the speaker knows this, the remark is understood as
sarcastic by ascribing to the speaker an intention other
than that of saying what is the case. In a similar way, a
live metaphor is achieved by saying something false in a
situation in which it is obvious that the speaker or writer
knows that it is false. Interpretation of speech and writing
is the interpretation of action. Since the speaker cannot
plausibly be held to be trying to communicate a belief that
the truth-conditions obtain, another motive must be
understood.
Davidson, as most writers on metaphor and figure,
concentrates on live and exciting metaphors. These are
utterances with truth-conditions that do not obtain,
produced with the clear intention that something other than
that the truth-conditions obtain be communicated.11 For our
purposes, the interesting phenomena occur when a metaphor is
dying or dead. Such uses are, arguably, the vast majority of
metaphorical utterances.
11 On my view, we are unlikely to get a completely clear definition of precisely the intentions that a metaphor requires, one that will separate it from sarcasm, hyperbole, and the like.
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Many of those who have thought about metaphor and its
fuzziness have been concerned with diachronic shift from
“metaphor” to “literal,” which would make the metaphorical-
literal distinction just another case of a sorites. English
etymology, for instance, is in large part the history of
figures that became literal, passing beyond the “dead” stage
to the stage where the trace of figuration is available only
to the scholar. Nothing in the minds of current speakers
would give a clue that “fornicate” was originally a
metonymy, an indirect way of alluding to activities in
fornice, the arches.12
For Davidson, this kind of cultural drift would not be
very interesting or relevant to semantics, since there is no
12
? Let me just list some other examples, which could be multiplied at dictionary length:“Berth” was originally a space for a ship to pass at sea, then place fora ship to dock, now place on a train to sleep. “Sobriquet”, now meaning “nickname” originally was a chuck under the chin.“Futile” from flowing, by a complicated figure for the flowing of words from the foolish, then, by another turn, came to mean hopeless“Understanding,” “verstehen,” and “episteme” are three relations to standing“Foundational,” “grundwerke” and “funds” (the resources we have beneath us) are all developments of “bottom,” which shows up anatomically as “fundament,” of course.
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such determinate thing as the “common language” on
Davidson’s account of language.13 For Davidson, the
phenomenon of figural use takes place at the level of
individual intention. On the assumption that the intention
is clear, the vagueness of the borderline between figural
and literal historically would just be a problem of
determining the intentions of the long-dead, rather than a
genuine sorites. Thus any question of genuine indeterminacy
between metaphorical use or literal use it arises at the
level of the individual speaker.
b) Indeterminate metaphorical14 uses
On examination, it is clear that, for a great many
applications of predicates,15 it is indeterminate whether 13 See “A Nice Derangement of Epitaphs” for the considerations that are relevant to this conclusion.14 Analogous issues can be raised about hyperbole and metonymy. “Terrific” at some point ceased to always mean “terrifying,” and someonecould be a terrific dancer. But does “terrific” in “terrific explosion” just mean “big”?15 Other examples, which could be multiplied indefinitely, would be “drove” in “John drove a Ford to work and his wife to drink,” “bloated” in “The budget for administration is bloated.” Consider also “head of the line,” “head of the class,” and “come to a head,” said of a crisis, which appears to be a metaphor on a metaphor. Consider also “frosted class”: are there two ways of being frosted, or is one class of cases metaphorical?
Might these matter philosophically? Consider “view” in “In my viewDavidson is right,” and “clear” in “This explanation is perfectly clear.”The last two examples follow Derrida’s “White Mythology,” in Derrida, 1982, pp.207-271. Some indeterminate metaphors may shape our thinking.
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the predicate is used literally or figuratively, and that
this indeterminacy applies to the speaker herself. Neither
the speaker nor the audience knows, for instance, whether
“crush” in an utterance of “John was crushed by Susan’s
remark” is literal or not. As I will show, this
indeterminacy does not matter, since the communication
result is exactly the same on either interpretation. On the
other hand, the utterance has truth-conditions: The result
of applying the homophonic theory will be the theorem,
“`John was crushed by Susan’s remark’ is true if and only if
John was crushed by Susan’s remark.” It is indeterminate
whether the utterance is true or not.
In such indeterminate metaphorical16 uses, the
application of a predicate can be understood in two ways:
Either 1) the predicate is applied literally in a different
sense, so that there are two senses (two predicate clauses
giving the meaning in the language-processing algorithm), or
2) the predicate is used metaphorically and there is only
16 It may be overstating things to call such applications “metaphors,” with the poetic overtones that implies. In general, whenever there is doubt about whether a word has more than one sense, or is being used in an “extended” sense, the same issues can arise.
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one sense (one predicate clause giving the meaning.) This
indeterminacy is not just an indeterminacy from the outside
observer’s point of view. The speaker or writer herself has
no special access to any fact that bears on the issue.
Intuitive judgments about about meaning something
metaphorically or literally seem to be a poor guide in any
case. Before last year, if someone had asked me whether
“swim” in “If you keep doing that, you’ll be out of here so
fast it will make your head swim” is metaphorical, I
probably would have said “Yes,” even though the basis of the
“metaphor” would be quite obscure. Before asking me, it had
never occurred to me whether “swim” in that utterance was
the same or a different predicate from “swim” in “Jones swam
the English Channel.” The etymological facts, for what that
is worth, do not support the “metaphor” hypothesis.
“Swimmen” is an Old English word with an independent
Germanic root meaning “dizzy.”
The point is that, before I looked it up, it had never
occurred to me whether my utterances using “make your head
swim” were literally true or false. My intentions in
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speaking did not depend on having any other “propositional
content” than “makes your head swim” is true of A if and
only if A makes your head swim. I said “…make your head
swim,” intending that I be understood as meaning something
like “make you dizzy.” But that would happen whether I was
speaking metaphorically or literally. In the former case, I
would be saying something false, but appropriate; in the
latter something true. It was of no importance which truth-
value my utterance had, and so of no importance which of two
propositional contents my utterance had. But the utterance
had truth-conditions I understood: “`This drug makes my head
swim’ is true if and only if this drug makes my head swim.”
If the rhetorical account of metaphoricity is correct,
the indeterminacy of metaphorical use is an indeterminacy
along the same pattern as indeterminacy of interpretation,
as analyzed by Quine and Davidson. Indeterminacy of
interpretation arises because a single kind of phenomenon,
“what a person says in what circumstances” is the entire
data set for ascribing intended actions, including speech
actions. Actions are the result of belief and desire. But
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many combinations of belief and desire can account for the
same action or set of actions, no matter how rich the data
are. In the specific case of speech actions, different
combinations of belief and meaning will explain the
utterance. Roughly speaking, we are solving for more than
one variable simultaneously, and multiple solutions are
equally good.
Since on the Davidsonian perspective there are no self-
interpreting meanings behind language, any concepts that
involve “propositional content”, that is beliefs,
intentions, desires, and actions, are subject to
interpretation in the same way in which language itself is.
Since the assignment of meaning to language itself involves
multiple propositional attitudes, not single propositional
attitude can be determined independently of the others. If
there were a way to assign contents to any one of the
concepts of the “intentional scheme” independently of the
others, that would be the foundation on which the
propositional contents of all the others could be founded.
But since intentional concepts have meanings, and meanings
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not self-interpreting but are rather given in language,
there can sometimes be a choice in the ascription of
contents.
For the much-discussed cases of indeterminacy of
interpretation, the trade-off is between belief and desire
or between some content of a propositional attitude and
meaning. Different and incompatible beliefs, with
correspondingly adjusted desires, will describe the same
behavior under different intentional descriptions. Different
truth conditions for an utterance will yield different
contents for a belief. In the case of indeterminate
metaphors, the adjustment is between intention and truth-
conditions. The alternative interpretations are quite
simple: 1) The predicate “crush” has one sense (corresponds
to one predicate) and the speaker intends to say something
false, but illuminating. 2) The predicate “crush” has two
senses, and so two distinct truth-conditions, and the
speaker intends to say something true.
Just as in cases of indeterminacy of interpretation,
the practical differences in consequences of the two
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alternatives are nil. In practice, the communication is
achieved on whichever interpretation one chooses. The
difference from indeterminacy of interpretation, however, is
that with indeterminate metaphor, almost everyone agrees
that they had neither interpretation in mind. They just said
the words, but did not determinately intend either the
intention to say something true or to say something false.
This kind of indeterminacy, the indeterminacy of intention
and truth-conditions, is a robust piece of intuitive
empirical evidence that propositional contents are nothing
but language.
One could deny this indeterminacy by claiming that
brain science answers such questions. On some models of
language-use, there would be a determinate answer whether
“crush” has one sense or two, even though neither
introspection nor interpretation yields that answer. The
“language of thought” might have a neurologically readable
dictionary. It could be that there are distinctive neural-
groups for distinct predicates, and that a neural re-
configuration characterizes a metaphorical versus a literal
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use of a predicate. Without going in to details, such models
expect a great deal more isomorphism between brain and
language than is likely to exist. Davidson’s anomalous
monism17 is a plausible picture of the relation between
intentional and brain predicates. The nearly universal view
that the fit between brain and meaning will not be
neurophysiologically general seems right. Given that there
are beliefs and desires, they have no thorough-going
systematic relation to brain configurations. So we can
ignore the remote possibility that there is a hidden
determinacy because facts about the brain will resolve
apparent indeterminacy and always discriminate when a word
has one or more than one sense, i.e. corresponds to one or
more than one predicate..
3) Truth-conditions and unknowable truth-conditions
An indeterminate metaphorical utterance might seem to
have neither truth-conditions nor a truth-value, since
neither seems to matter for communication. But each
interpretation above assigns the utterance truth-conditions
17 Anomalous monism is stated and defended in “Mental Events,” in Davidson 1980.
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and truth-value. That is, on either interpretation, the
utterance has a truth-value. In the utterance “Fred was
crushed by Susan’s remark,” if the speaker has two
predicates “crush” then the truth-value is true; if the
speaker has only one predicate “crush”, it is false.18
If the utterance had no truth-value, neither
interpretation would be correct. But the disjunction of the
two interpretations is true, given that a successful
communication takes place. That is, the possibility of
understanding requires that one or the other hypothesis be
true. So a precondition of successful communication is that
these indeterminate utterances have truth-values.
A Quinean or a Davidsonian has a simple answer that is
not available to the metaphysician: Since truth is primary
and beings are posited in order to organize truths, there
are no facts or states of affairs, i.e. configurations of
entities that “ground” truths. Beings supervene on truths,
rather than the other way round. “`Fred is a frog’ is true 18 Another way to put this point about metaphor is as a point about distinct “senses” of terms as opposed to using terms “strictly” or “loosely.” The main idea is that we cannot tell either from the inside or from the outside whether a usage is strict (i.e. strictly true) or not.
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if and only if Fred is a frog” describes adequately what the
world has to be for the utterance to be true. With this
conception of truth, a Davidsonian or Quinean can
legitimately accept truths for purely theoretical reasons.
So, indeterminate metaphorical utterances have truth-values,
but they are unknowable truth-values. They are unknowable
“in principle,” the “principle” being the theory of how
utterances have meaning and what that meaning consists in.
So, A Davidsonian can hold that the disjunction of the
one-sense hypothesis and the two-sense hypothesis is true
and known to be true, while it is unknown and in principle
unknowable which disjunct is true, even though one or the
other disjunct is true. The basis for holding that one or
the other disjunct is true is that communication takes place
and one interpretation or the other must be true.
Furthermore, the general result that every utterance has a
truth-value, coming from logic as opposed to communication-
theory, justifies this thesis.
The difference from a “metaphysical” view that supposes
that truth is supervenient on beings is that, for Davidson,
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there are no ontological correlates to true sentences and
applicable predicates. So, since posited beings organize
truths, utterances can be reasonably held to have a truth-
value for organizational, theoretical reasons. For
indeterminate metaphors the theoretical reason is that
having truth-values universally interprets meaningful
utterances as meaningful.
So, Davidson can say of an indeterminate metaphorical
utterance that it is either true or false. That doesn’t mean
that there is a hidden fact of the matter, just that the
truths are better organized under bivalence, and successful
interpretation, which of course happens, presupposes that
utterances have truth-values. That is, since the
interpretation of a metaphorical utterance requires that an
utterance have a truth-value on either possible
interpretation, it must have a truth-value.
The thesis that indeterminate utterances have truth-
values, albeit unknowable ones, for purely theoretical
reasons is analogous to the set-theoretical claim that the
null set is a subset of every set. That the null set is a
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sub-set of every set is likewise counted as true for purely
theoretical reasons. Intuitively, given the natural notion
of set as a bunch of objects, it would not occur to us to
include a set with no members as, say, a subset of my
Tupperware pieces, alongside the containers and spatulas.
The thesis that the null set is a subset of every set
is justified solely because it makes better set-theory and
has no serious costs. We can say that VxVy(xy <-> Vz(zx -
>zy)) without having to add a clause to deal with the case
where z has no members, for instance.
Another example of a true “pure theoretical” claim
would be the truth that there is just one zero-tuple of
objects. This thesis is assigned truth so that names can be
assimilated to function-names and sentences to 0-place
predicates. Likewise the thesis that x to the zero-power
equals 1 is true so that x to the y-z power can be regarded
as x to the y power minus x to the z power. In the latter
example, “our intuitive concept” would tell us that there is
no such thing as multiplying a number by itself 0 times—that
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the notion is senseless, and the expression “x0” is
necessarily vacuous.19
There is no cost and no practical difficulties in
asserting these theses. Every other truth about sets that
matters is still true, and the over-all theory is better
with the addition of the theses that every set has the null
set as subset, that there is exactly one zero-tuple, and
that N0= 1 for all N. So they are true and known to be true.
In a similar way, the thesis that every utterance with
truth-conditions has a truth-value simplifies the logic of
our over-all theory, allows interpretation of obviously
interpretable utterances, and is cost-free. All that has to
be abandoned is the idea that we can, in general, know what
those truth-values are. With a Davidsonian-Quinean semantics
that eschews truth-making facts or states of affairs, there
are no ontological costs to epistemicism and no speculations
about the inaccessible concepts or thoughts need be invoked.
From a Davidsonian perspective on reference and truth,
epistemicism is harmless. However, one adjustment has to be
19 I owe the last two examples to Scott Lehmann.
Wheeler Metaphorical Indeterminacy page 27
made. Given that indeterminate metaphorical utterances have
truth-values, their characterization as “indeterminate” has
to be denied.20 After applying the above epistemicist fix, a
Davidsonian should characterize such sentences as
“indeterminable” rather than “indeterminate.” That is, while
there is no fact of the matter in a correspondence sense,
there is a fact of the matter in the disquotational sense.
We are entitled to go from “It is true that A or not-A” to
“Either it is true that A or it is true that not A.”
4) Indeterminacy as indeterminability in other cases
The well-known kinds of indeterminacy are indeterminacy
of interpretation and vagueness. The same fix that a
Davidsonian can apply in the case of metaphors can be
applied as well to these kinds of indeterminacy. I will
briefly discuss how the solution to indeterminate metaphor
is applied to both indeterminacy of interpretation and
vagueness and then reiterate the defense of this “harmless
epistemicism.”
20 This point was made by Sanford Shia when a version of this paper was presented at Wesleyan University.
Wheeler Metaphorical Indeterminacy page 28
a) Indeterminate of Interpretation as “Indeterminable
interpretation.”
Davidson’s and Quine’s characterization of
indeterminacy of interpretation as cases in which “there is
no fact of the matter” hardly distinguishes cases of
indeterminacy from “normal” utterances, since there are no
“facts,” as referents of utterances or sentences in any
case. 21
On the suggested fix of treating every utterance as
having a truth-value, every equally-good interpretive
hypothesis is known to be either true or not true, even
though no two such hypotheses can be true. “There is no fact
of the matter” is reinterpreted as “the alternative
hypotheses are equally practically acceptable.” Whereas in
the case of indeterminable metaphors there are typically
21 “No fact of the matter” means different things for Quine and Davidson. Quine treated indeterminacy as a relativism, relativity to a theory. The relativity for Quine is no more problematic than the fact that we get different numbers when we use metric units rather than feet and inches. Davidson has characterized indeterminacy in much the same way, but points out in “Indeterminism and Antirealism”, in Davidson 2001, p.83, that the arbitrary measurement model misses the fact that there is no interpretation-free measure of the meanings of utterances. Thus the different standards by which we measure meanings would themselves be arrived at by interpretation.
Wheeler Metaphorical Indeterminacy page 29
just two hypotheses,22 in the case of indeterminacy of
interpretation there may be several.
For indeterminability of interpretation, the hypotheses
are in principle unknowable for much the reasons that
indeterminable metaphorical utterances have unknowable
truth-values. The “principles” are the theory of how
utterances have meaning and how propositional attitudes have
content.
b) Vagueness
In the literature of vagueness, the fix suggested for a
Davidsonian account of indeterminable metaphors and
indeterminacy of interpretation is the “epistemicist”
position on vague predicates such as “tall” and “bald.”
Epistemicism holds that there is a sharp line between, for
instance, the tall men and the men who are not tall, that
there is a determinate set of tall men. The well-known
epistemicist23 views hold that there is a real line either
in nature or in our concepts that determines whether a man 22 “A crisis coming to a head” might generate three hypotheses, if the raised and pussy part of a swelling is a metaphorical extension of “head” as body part, and the political situation a metaphor of that physiological phenomenon. 23 See Roy Sorensen’s 2001 and Timothy Williamson’s 1994.
Wheeler Metaphorical Indeterminacy page 30
is a tall man or not. This line, while objectively there in
nature or in our concept, is in principle unknowable.
Epistemicism has the substantial advantage of preserving
bivalence and classical logic, but the substantial
disadvantage of seeming to almost everyone to be completely
implausible. It seems to most people that there is nothing
to baldness or tallness that is not implicit in our verbal
behavior with such words. And such verbal behavior leaves
gaps between the bald and the not bald.
A Davidsonian epistemicism, though, is harmless in this
respect. No “given” facts are truth-makers for vague
utterances. No properties corresponding to predicates except
in a trivial sense are in question. So a Davidsonian
epistemicist can hold that “Fred is a tall man” is either
true or false, because every utterance is true or false,
without supposing that the world has a fact “making” the
utterance true.
Since indeterminability is a feature of predicate use
generally, given the nature of predication and language, we
should not be surprised that for some degree-based
Wheeler Metaphorical Indeterminacy page 31
attributive adjectives like “tall,” there are cases where
nothing in the situation determines that they apply or don’t
apply. Given that truth is primary, and that beings and
properties are posited (correctly) to accommodate those
truths, we need not suppose that there are hidden facts.24
Why should we think that a solution to the sorites
argument and other cases of vagueness would have the same
solution as indeterminability of interpretation and
metaphorical utterances?
Let me offer a conjecture: Just as the fundamental
phenomenon underlying indeterminability of interpretation
and indeterminability of metaphor is a lack of “fit” between
mental, intentional concepts and physical concepts,
according to Davidson’s anomalous monism, so sorites
24 A further advantage of this account of vagueness over some other technical fixes is that vague predicates that do not clearly involve a slippery slope can be accommodated just as easily as “regular” predicates such as “tall.” That is, predicates such as “bald” and “nice”are such that the comparative is sometimes indeterminable. The features of “bald” that disqualify it from being a genuine simple sorites are outlined in my 1979. The much more persuasive example of “nice” is borrowed from Rosanna Keefe’s 1998.Whether John is balder thanFred can be indeterminable because baldness is not a matter of the number of hairs, but on their distribution. It is likewise indeterminable whether John is nicer than Fred, since the parameters forniceness are numerous and themselves vague.
Wheeler Metaphorical Indeterminacy page 32
arguments depend on lack of fit between different sorts of
concepts.
“Family of concepts” would be explicated by unpacking
the implicit proto-theories that constitute the content of
concepts. Such “proto-theories” would consist of lawlike
truths using the predicates. There are laws connecting tall
and short (whatever is a tall F is not a short F), but not
connecting tall and n meters high. There are truths about,
for instance, tall men and their height in meters, but those
truths do not form a system, in a sense of “system” that
needs explication.
“Bald,” “heap,” “nice,” “red” and “tall” do not have
law-like relations to “number of hairs,” “grain of sand,”
“remembers birthdays,” “reflects light of n angstroms” and
“is 2 meters in height,” even though there are truths using
terms across these families. Sorites arguments illustrate
this lack of law-like relations between concepts.
If some such account is right, then indeterminacy or
indeterminability reflects one kind of phenomenon.
Indeterminacy occurs because different predicates and
Wheeler Metaphorical Indeterminacy page 33
families of predicates are not suited to one another, not
related in a law-like way. Since these predicates apparently
occur in true utterances, and so sometimes apply to things.
On the Davidsonian perspective on ontology, these truths
mean that there are tall men, tables, and the rest of the
entities that the truths require us to quantify over.
On a metaphysical perspective, such “families of
predicates” that do not have law-like relations with the
law-connected concepts of the sciences would be an argument
that nothing in reality corresponds to members of such
families. So, there would be no mental events, no tall men,
and no tables. Since on such a perspective there are
ontological correlates, facts, corresponding to truths,
there is a strong and familiar argument that, if the
concepts really do not fit with the privileged ones, the
entities do not exist. There seems to be room, as it were,
for only one set of entities filling the universe. Since the
entities posited by the privileged predicates (the micro-
particle predicates) do fill the world, the bizarre
conclusion of my 1975 and 1979 would be very plausible.
Wheeler Metaphorical Indeterminacy page 34
Anything other than eliminativism further leads to questions
about causal over-determination and other conceptual
difficulties of a metaphysical-correspondence-based
conception of language and the world.
On a Davidsonian perspective, kinds of entities that do
not fit together raise no ontological difficulties. Since
the project is not to “sort” a given domain into the
entities there really are, but rather to account for the
truths, multiple overlapping mutually irreducible domains
are to be expected. Thus not only would Davidsonian harmless
epistemicism resolve every sort of indeterminacy, there
would also be a reason why that is the case.
Works referred to:
Davidson, Donald (1980) Essays on Actions and Events, Oxford UP.
Davidson, Donald, (1984) Inquiries into Truth and Interpretation,
Oxford UP.
Davidson, Donald, (1996) “The Folly of Trying to Define Truth”, Journal of Philosophy 93, pp.263-278.
Wheeler Metaphorical Indeterminacy page 35
Davidson, Donald, (2001) Subjective, Intersubjective, Objective, Oxford
UP.
Derrida, Jacques (1973) Speech and Phenomena and other essays on Husserl's Phenomenology, Northwestern UP.
Derrida, Jacques, (1982) Margins of Philosophy, Chicago UP.
Keefe, Rosanna, (1998) “Vagueness by Numbers,” Mind 107,
Volume 427, pp. 565-579.
Quine, W. V. O., (1960) Word and Object, MIT Press.
Quine, W. V. O., (1963) From a Logical Point of View, New York:
Harper & Row.
Quine, W.V. O., (1969) Ontological Relativity, Columbia UP.
Sorenson, Roy, (2001) Vagueness and Contradiction, Oxford UP.
Wheeler, S. C., (2000) Deconstruction as Analytic Philosophy,
Stanford UP.
Wheeler, S. C., (1975) “Reference and Vagueness", Synthese
30, pp.367-379.
Wheeler, S. C., (1979) “On That Which is Not", Synthese 41,
pp.155-173.
Williamson, Timothy, (1994) Vagueness, Routledge.