A Priori Knowledge in Perspective: Mathematics, Method and Pure Intuition
Stephen R. Palmquist
Abstract
Stephen R. Palmquist
Abstract
This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition. (Apologies that the pdf of this article was prepared with every other page upside down. Take it as an opportunity to practice changing one's perspective!)
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This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition. (Apologies that the pdf of this article was prepared with every other page upside down. Take it as an opportunity to practice changing one's perspective!)
Key concepts: A priori and a posteriori, Intuition, Epistemology, Genius, Philosophy, Deductive reasoning, Logical reasoning, Perspective (graphical)