Carl J. Posy

Mathematical Intuitionism (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 12. November 2020
• Englisch
• ISBN-13: 9781108593250
• Artikelnr.: 66178448

Inhaltsangabe

1. Introduction: three faces of intuitionism
2. The mathematical face of intuitionism
3. Formalized intuitionism
4. The intuitionistic standpoint
Afterword
Acknowledgements
Bibliography.