Book contents
- Kant’s Philosophy of Mathematics
- Kant’s Philosophy of Mathematics
- Copyright page
- Dedication
- Contents
- Contributors
- Acknowledgements
- Introduction
- Part I Roots
- Part II Method and Logic
- Part III Space and Geometry
- 7 Kant on Parallel Lines
- 8 Continuity, Constructibility, and Intuitivity
- 9 Space and Geometry in the B Deduction
- Part IV Arithmetic and Number
- References to Works by Kant
- Bibliography
- Index
8 - Continuity, Constructibility, and Intuitivity
from Part III - Space and Geometry
Published online by Cambridge University Press: 24 April 2020
Book contents
- Kant’s Philosophy of Mathematics
- Kant’s Philosophy of Mathematics
- Copyright page
- Dedication
- Contents
- Contributors
- Acknowledgements
- Introduction
- Part I Roots
- Part II Method and Logic
- Part III Space and Geometry
- 7 Kant on Parallel Lines
- 8 Continuity, Constructibility, and Intuitivity
- 9 Space and Geometry in the B Deduction
- Part IV Arithmetic and Number
- References to Works by Kant
- Bibliography
- Index
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.
Keywords
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- Information
- Kant's Philosophy of Mathematics , pp. 181 - 199Publisher: Cambridge University PressPrint publication year: 2020
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