Critique of Kant on Arithmetic

Autores

  • Leslie Stevenson University of St.Andrews

DOI:

https://doi.org/10.36311/2318-0501.2021.v9n1.p77

Palavras-chave:

A priori, Analytic, Arithmetic, Construction, Intuition, Logic, Mathematics, Perception, Proof, Synthetic

Resumo

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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Publicado

2021-07-10

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Seção

Artigos/Articles