Mathematical Intuitionism (Elements in the Philosophy of Mathematics)
Carl J. Posy
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.
年:
2020
出版社:
Cambridge University Press
语言:
english
页:
116
ISBN 10:
1108723020
ISBN 13:
9781108723022
文件:
PDF, 2.88 MB
IPFS:
,
english, 2020
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