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
- Part IV Arithmetic and Number
- 10 Arithmetic and the Conditions of Possible Experience
- 11 Kant’s Philosophy of Arithmetic
- 12 Kant on ‘Number’
- References to Works by Kant
- Bibliography
- Index
10 - Arithmetic and the Conditions of Possible Experience
from Part IV - Arithmetic and Number
Published online by Cambridge University Press: 24 April 2020
By
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
- Part IV Arithmetic and Number
- 10 Arithmetic and the Conditions of Possible Experience
- 11 Kant’s Philosophy of Arithmetic
- 12 Kant on ‘Number’
- References to Works by Kant
- Bibliography
- Index
Summary
This paper is part of a larger project about the relation in Kant’s work between mathematics and transcendental philosophy. The general view is that in the course of arguing independently of mathematical considerations for conditions of experience, Kant also establishes conditions of the possibility of mathematics. My aim in this paper is to show how, for Kant, arithmetic and number are grounded in necessary conditions of experience, and thereby to show how arithmetic provides a priori cognition of objects with regard to their form.
- Type
- Chapter
- Information
- Kant's Philosophy of Mathematics , pp. 231 - 247Publisher: Cambridge University PressPrint publication year: 2020