Critique of Kant on Arithmetic
Palavras-chave:A priori, Analytic, Arithmetic, Construction, Intuition, Logic, Mathematics, Perception, Proof, Synthetic
Arithmetical truths are a priori, but our understanding of them starts with the practical experience of counting. Whether arithmetic is analytic – or synthetic as Kant maintained – turns out to depend on what view we take about the precise scope of logic. A survey of mathematical theorizing about various kinds of numbers shows that there is more than one kind of “construction” or “intuition” involved. Kant’s conception of a priori intuition, as applied to arithmetic, seems to be just mathematical perception.
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