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Critique of Kant on arithmetic

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Stevenson_2021_EK_Critique_Kant_CC.pdf (167.5Kb)
Date
10/07/2021
Author
Stevenson, Leslie
Keywords
A priori
Analytic
Arithmetic
Construction
Intuition
Logic
Mathematics
Perception
Proof
Synthetic
B Philosophy (General)
QA Mathematics
T-NDAS
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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.
Citation
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
Publication
Estudos Kantianos
Status
Peer reviewed
DOI
https://doi.org/10.36311/2318-0501.2021.v9n1.p77
ISSN
2318-0501
Type
Journal article
Rights
Copyright (c) 2021 Kantian Studies (EK). Open Access. This work is licensed under a Creative Commons Attribution 4.0 International License.
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/23884

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