Is mathematical knowledge a precedent for modal knowledge?: A novel objection to Lewis’s modal epistemology

SATS 19 (2):183-199 (2018)
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Abstract

The goal of this paper is to raise a novel objection to Lewis’s modal realist epistemology. After reformulating his modal epistemology, I shall argue that his view that we have necessary knowledge of the existence of counterparts ends up with an absurdity. Specifically, his analogy between mathematical knowledge and modal knowledge leads to an unpleasant conclusion that one’s counterpart exists in all possible worlds. My argument shows that if Lewis’s modal realism is true, we cannot know what is possible. Conversely, if we can know what is possible, his modal realism is false. In the remainder of the paper, I shall consider and block possible objections to my argument.

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Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.
Modal Epistemology and the Rationalist Renaissance.George Bealer - 2002 - In Tamar Gendler & John Hawthorne (eds.), Conceivability and Possibility. New York: Oxford University Press. pp. 71-125.
Modal epistemology.Peter Van Inwagen - 1998 - Philosophical Studies 92 (1):67--84.
Modal Epistemology.E. Weber & T. DeMey (eds.) - 2004 - Koninklijke Vlaamse Academie van Belgie vor Wetenschappen en Kunsten.

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