The Determinate World ：Kant and Helmholtz on the Physical Meaning of Geometry ( Quellen und Studien zur Philosophie )

Publication subTitle ：Kant and Helmholtz on the Physical Meaning of Geometry

Publication series ：Quellen und Studien zur Philosophie

Author： Hyder David  

Publisher： De Gruyter‎

Publication year： 2009

E-ISBN: 9783110217209

P-ISBN(Paperback): 9783110183917

Subject： O1-0 mathematical theory

Keyword： Helmholtz, Hermann von Kant, Immanuel philosophy of science

Language： ENG

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Description

This study examines the place of Hermann von Helmholtz’s seminal papers on geometry in his philosophy of science. The arguments of these papers are traced back to his prior work on the theory of magnitudes, as well as to Helmholtz’s early, Kantian position. The author claims that Helmholtz should be understood not as opposing Kant, but as modifying the latter’s theory of magnitudes so as to remove obstacles to their common project of constructing a complete system of natural science.

Chapter

Frontmatter

pp.：  1 – 7

Contents

pp.：  7 – 9

1. Introduction

pp.：  9 – 27

2. The Empirical Determination of Physical Concepts in Kant’s Metaphysical Foundations of Natural Science

pp.：  27 – 84

3. Helmholtz on the Comprehension of Nature

pp.：  84 – 113

4. Colour-theory and Manifolds

pp.：  113 – 142

5. The Road to Empirical Geometry

pp.：  142 – 170

6. Helmholtz on Geometry, 1868 – 1878

pp.：  170 – 205

7. Conclusion

pp.：  205 – 223

Backmatter

pp.：  223 – 239

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