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Preproceedings 2006 - Austrian Ludwig Wittgenstein Society

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property of being true on the sole basis of the meaning of<br />

a sentence’s constituting expressions? Consider the<br />

sentence “either some ants are parasitic or none are”. Ayer<br />

claims that its truth depends on the meaning of its<br />

constituting expressions alone. So, along with Swinburne’s<br />

terminology, he is committed to maintain that:<br />

“Either some ants are parasitic or none are” is true<br />

solely because “either some ants are parasitic or none are”<br />

means what it does.<br />

Now consider the following instance of the<br />

disquotational schema:<br />

“Either some ants are parasitic or none are” is true<br />

iff either some ants are parasitic or none are.<br />

By substituting (II)’s right-hand side for (II)’s lefthand<br />

side within (I) yield<br />

Either some ants are parasitic or none are only<br />

because “either some ants are parasitic or none are”<br />

means what it does.<br />

(III) entails the following counterfactual:<br />

Had it not been the case that “either some ants are<br />

parasitic or none are” means what it does, it would not<br />

have been the case that either some ants are parasitic or<br />

none are.<br />

(IV) is plainly absurd. So either one denies the<br />

argument’s validity, or one denies one of its premises.<br />

Since the argument depends on (I) and the disquotational<br />

schema alone, and the denial of (I) entails the empiricist’s<br />

defeat, the empiricist must engage in the first strategy.<br />

For instance, the empiricist could question the<br />

transition from (I) to (III). The general motivation behind<br />

this move could be the following. Suppose the empiricist<br />

provided principled reasons for rejecting the transition from<br />

(I) to (III). The proponent of the argument against Ayer’s<br />

definition of analyticity could just use (I) to get at her<br />

problematic counterfactual conclusion. However, (I) is<br />

insufficient to get at this conclusion. (I) just claims that<br />

“either some ants are parasitic or none are” is true solely<br />

because “either some ants are parasitic or none are”<br />

means what it does. The sentence’s meaning what is<br />

does, however, plainly provides just a sufficient condition<br />

for the sentence’s truth. Alternative meaning assignments<br />

could equally suffice for the sentence’s truth. The problem<br />

is that the following principle,<br />

if p solely because q, then had it not been the case<br />

that q, it would not have been the case that p,<br />

is not generally true. It true only if q constitutes both<br />

a necessary and a sufficient condition for p. Accordingly,<br />

left with (I), which just states a sufficient condition, the<br />

proponent of the argument (I) – (IV) is impeded to get at<br />

the problematic counterfactual.<br />

However, how could the empiricist motivate her<br />

rejection of the transition? The empiricist could question<br />

the use of (II) within the context of the argument from (I) to<br />

(IV). The reason is that “solely because” contexts are<br />

plagued by ambiguity: as the following instances arguably<br />

show, they do not identify a unique relation between the<br />

“antecendent” and the “consequent” within the context:<br />

Kennedy is died only because more than one man<br />

fired at him;<br />

J.O. was justified to believe that Kennedy was dead<br />

only because she witnessed the attack;<br />

The Analytic Theory of the A Priori: Ayer’s Argument - Tommaso Piazza<br />

“Kennedy is died” is true only because “Kennedy is<br />

died” means what it does and Kennedy died;<br />

q only because p and if p then q.<br />

identifies what might be called the causal becauserelation;<br />

(b), pace the externalist, identifies what might be<br />

called the epistemic (or normative) because-relation; (c)<br />

identifies what might be called the truth-making because<br />

relation; (d) identifies what might be called the logic<br />

because-relation.<br />

Given the multifarious ambiguity of a “solely<br />

because” context, it shouldn’t be surprising that the<br />

practice of substituting within such contexts may effect<br />

strange consequences; for the substitution of logically<br />

equivalent expressions may not respect the constraint that<br />

the logically equivalent expressions thereby substituted<br />

one for another be of the appropriate category for the<br />

same because-relation to yield non-problematically.<br />

Precisely stated, this constraint could be put as follows:<br />

If P is a “solely because context” which identifies the<br />

R because-relation, and A is the antecedent within P, for<br />

every B such that A iff B the substitution of B for A within P<br />

is legitimate iff B is as good an antecedent for a R<br />

because-relation as A is.<br />

Once (C) is in place, the empiricist could query the<br />

transition from (I) to (III). (III) is yielded by the substitution<br />

of a sentence for a truth-attributing (meta)sentence. Just<br />

the latter can plausibly feature within a truth-making<br />

because context. Therefore the transition from (I) to (III)<br />

should be rejected as based on an illegitimate substitution<br />

infringing the abovementioned constraint regulating<br />

substitutions within “only because” contexts. Since (III) is<br />

necessary to get at (IV), and (IV) is necessary to reject the<br />

empiricist view that analytic truth is not about reality, the<br />

result would be a vindication of the empiricist maxim.<br />

Is it really so? Consider again the general motivation<br />

of the empiricist maneuver. The presupposition is that (I) is<br />

per se insufficient to get at the problematic counterfactual.<br />

That is to say, that it should be logically read in the<br />

following conditional terms:<br />

(IL) if “either some ants are parasitic or none are”<br />

means what it does, then “either some ants are parasitic or<br />

none are” is true.<br />

(IL) is consistent with some other condition’s<br />

determining that “either some ants are parasitic or none<br />

are” is true. Therefore it does not entail the otiose<br />

counterfactual (IV).<br />

Is however (IL) sufficient to ground the empiricist<br />

claim that analytic statements are not about reality? The<br />

empiricist is presenting a principle to the effect that if “p”<br />

means what it does entails that “p” is true, then “p” is true<br />

but not about reality. Consider the statement that “snow is<br />

white”. Given the way the world is, if “snow is white” means<br />

that snow is white, “snow is white” is true. Is however<br />

“snow is white” not about reality? Clearly it is about the real<br />

snow. So (IL) is insufficient to ground the claim that analytic<br />

statements are not about reality.<br />

A better strategy is given by the following modal<br />

reading of (1):<br />

(ILM) necessarily, if “either some ants are parasitic or<br />

none are” means what it does, then “either some ants are<br />

parasitic or none are” is true.<br />

The statement “snow is white” clearly constitutes no<br />

counterexample to (ILM). In other possible worlds snow is<br />

249

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