Paradoxes About Belief
Author: J. Kallestrup1
Source: Australasian Journal of Philosophy, Volume 81, Number 1, March 01, 2003 , pp. 107-117(11)
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Abstract:
Referentialism is the view that all there is to the meaning of a singular term is its referent. Referentialism entails Substitutivity, i.e., that co-referring terms are intersubstitutable salva veritate . Frege's Paradox shows that Referentialism is inconsistent given two principles: Disquotation says that if S assents to 'P', then S believes that P, and Consistency says that if S believes that P and that not-P, then S is not fully rational. Kripke's strategy was to save Substitutivity by showing that those intuitively plausible principles already led to paradox. I argue that this generalising strategy fails. The Descriptivist, who thinks that a singular term has descriptive meaning, will reject Substitutivity in Frege's Paradox, and deny that Consistency finds application in Kripke's Paradox. The Referentialist, however, may reject Consistency: if the logical properties of the contents of S's beliefs are not reflectively accessible, then S can hold contradictory beliefs without being irrational. Even if successful against Frege's and Kripke's Paradox, this response is ineffective against a strengthened version of the former which rests on Disquotation and Substitutivity, and a strengthened version of the latter which rests only on Disquotation.
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