Mathematical Intuitionism
Part of Elements in the Philosophy of Mathematics
- Author: Carl J. Posy, Hebrew University of Jerusalem
- Date Published: November 2020
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781108593250
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L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
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- Date Published: November 2020
- format: Adobe eBook Reader
- isbn: 9781108593250
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction: three faces of intuitionism
2. The mathematical face of intuitionism
3. Formalized intuitionism
4. The intuitionistic standpoint
Afterword
Acknowledgements
Bibliography.
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