Critique of Kant on arithmetic
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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.
Stevenson , L 2021 , ' Critique of Kant on arithmetic ' , Estudos Kantianos , vol. 9 , no. 1 , pp. 77-88 . https://doi.org/10.36311/2318-0501.2021.v9n1.p77
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