Critique of Kant on arithmetic

Leslie Stevenson

doi:10.36311/2318-0501.2021.v9n1.p77

Critique of Kant on arithmetic

Leslie Stevenson

Philosophy

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	77-88
Journal	Estudos Kantianos
Volume	9
Issue number	1
DOIs	https://doi.org/10.36311/2318-0501.2021.v9n1.p77
Publication status	Published - 10 Jul 2021

Keywords

A priori
Analytic
Arithmetic
Construction
Intuition
Logic
Mathematics
Perception
Proof
Synthetic

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Stevenson_2021_EK_Critique-Kant_CC
Copyright (c) 2021 Kantian Studies (EK). Open Access. This work is licensed under a Creative Commons Attribution 4.0 International License.
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Critique of Kant on arithmetic

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