Kitcher, Mathematics, and Apriority

Erkenntnis 84 (3):687-702 (2019)
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Abstract

Philip Kitcher has argued against the apriority of mathematical knowledge in a number of places. His arguments rely on a conception of mathematical knowledge as embedded in a historical tradition and the claim that this sort of embedding compromises apriority. In this paper, I argue that tradition dependence of mathematical knowledge does not compromise its apriority. I further identify the factors which appear to lead Kitcher to argue as he does.

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10.1007/s10670-018-9977-8

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Jeffrey W. Roland
Louisiana State University

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References found in this work

Knowledge and its limits.Timothy Williamson - 2000 - New York: Oxford University Press.
Philosophical explanations.Robert Nozick - 1981 - Cambridge, Mass.: Harvard University Press.
Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Knowledge and Its Limits.Timothy Williamson - 2000 - Philosophy 76 (297):460-464.
Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.

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