Overview
- Collection of original essays
- Addresses important but neglected topic in philosophy of science, philosophy of mathematics
- Traces Kantian influence on these disciplines right up to contemporary philosophy
Part of the book series: The Western Ontario Series in Philosophy of Science (WONS, volume 70)
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Table of contents (14 chapters)
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Front Matter
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Mathematical Aspects
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Front Matter
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Physical Aspects
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Front Matter
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Keywords
About this book
Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant’s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kant’s own approach. By way of these investigations, we hope to understand better the rationale behind Kant’s theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and non-logical, historical and systematic issues in both mathematics and physics.
Editors and Affiliations
Bibliographic Information
Book Title: Intuition and the Axiomatic Method
Editors: Emily Carson, Renate Huber
Series Title: The Western Ontario Series in Philosophy of Science
DOI: https://doi.org/10.1007/1-4020-4040-7
Publisher: Springer Dordrecht
eBook Packages: Humanities, Social Sciences and Law, Philosophy and Religion (R0)
Copyright Information: Springer Science+Business Media B.V. 2006
Hardcover ISBN: 978-1-4020-4039-9Published: 24 January 2006
Softcover ISBN: 978-90-481-7019-7Published: 17 November 2010
eBook ISBN: 978-1-4020-4040-5Published: 02 July 2006
Series ISSN: 1566-659X
Series E-ISSN: 2215-1974
Edition Number: 1
Number of Pages: XIV, 324
Topics: Philosophy, general, History of Philosophy, Philosophy of Science