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mathematical infinity

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8 - Continuity, Constructibility, and Intuitivity
from Part III - Space and Geometry
- By Gordon Brittan
Edited by Carl Posy, Hebrew University of Jerusalem, Ofra Rechter, Tel-Aviv University
Book:

Kant's Philosophy of Mathematics

Published online:

24 April 2020

Print publication:

21 May 2020, pp 181-199
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Summary

This paper discusses the place of the infinite in Kant’s philosophy, in particular as required for continuity in mathematics and physics. A fine-grained examination of the roles that the infinite and the infinitesimal play in Kant’s theory that illuminates the notion of construction in Kant’s philosophy of mathematics also uncovers challenges to certain prominent interpretations of Kant’s reliance on logic and intuition in mathematics.