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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.
Product details
- Paperback | 75 pages
- 152.4 x 228.6 x 6.1mm | 510g
- 12 Nov 2020
- Cambridge University Press
- Cambridge, United Kingdom
- English
- Worked examples or Exercises
- 1108723020
- 9781108723022
- 1,237,019
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