Mathematical Intuitionism, Paperback / softback Book

Mathematical Intuitionism Paperback / softback

Part of the Elements in the Philosophy of Mathematics series

Paperback / softback

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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.