Kitcher, Mathematical Intuition, and Experience

Philosophia Mathematica 15 (2):227-237 (2007)
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Abstract

Mathematical apriorists sometimes hold that our non-derived mathematical beliefs are warranted by mathematical intuition. Against this, Philip Kitcher has argued that if we had the experience of encountering mathematical experts who insisted that an intuition-produced belief was mistaken, this would undermine that belief. Since this would be a case of experience undermining the warrant provided by intuition, such warrant cannot be a priori.I argue that this leaves untouched a conception of intuition as merely an aspect of our ordinary ability to reason. Thus the apriorist may still hold that some mathematical beliefs are warranted by intuition

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Mark McEvoy
Hofstra University

References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
In Defense of Pure Reason.Laurence BonJour - 1998 - Cambridge University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.
In Defense of Pure Reason.Laurence BonJour - 2000 - Noûs 34 (2):302-311.

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