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An interpretation of the intuitionistic sentential calculus

In Jaakko Hintikka (ed.), The philosophy of mathematics. London,: Oxford University Press (1969)

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  1. Can We Be Skeptical About A Priori Knowledge?Sherif Salem -
    In this paper, we present a dialectical argument for a priori skepticism (i.e. the thesis that we can be skeptical about a priori knowledge). Then, we propose a framework that combines elements from inferential contextualism and logical conventionalism to offer a weak transcendental argument against a priori skepticism.
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  • Liar Syllogisms and Related Paradoxes.B. H. Slater - 1991 - Analysis 51 (3):146 - 153.
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  • Proofs and pictures.James Robert Brown - 1997 - British Journal for the Philosophy of Science 48 (2):161-180.
    Everyone appreciates a clever mathematical picture, but the prevailing attitude is one of scepticism: diagrams, illustrations, and pictures prove nothing; they are psychologically important and heuristically useful, but only a traditional verbal/symbolic proof provides genuine evidence for a purported theorem. Like some other recent writers (Barwise and Etchemendy [1991]; Shin [1994]; and Giaquinto [1994]) I take a different view and argue, from historical considerations and some striking examples, for a positive evidential role for pictures in mathematics.
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  • The knowing mathematician.Nicolas D. Goodman - 1984 - Synthese 60 (1):21 - 38.
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