Preproceedings 2006 - Austrian Ludwig Wittgenstein Society
Preproceedings 2006 - Austrian Ludwig Wittgenstein Society
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 />
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