Elements of Intuitionism

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Clarendon Press, 2000 - Mathematics - 331 pages
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This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism. From reviews of the first edition: This excellent book can be recommended to the student of mathematics or philosophy wishing to get a comprehensive and reliable introduction to modern intuitionism. Zentralblatt fur Mathematik The relevance of this book extends well beyond the confines of the philosophy of mathematics, right to the centre of debates in the philosophy of language. Philosophical Books ...a valuable and original contribution to the philosophy of mathematics. Journal of Symbolic Logic
 

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Contents

Introductory remarks
1
Elementary intuitionistic mathematics
22
Choice sequences and spreads
40
The formalization of intuitionistic logic
88
The semantics of intuitionistic logic
119
Some further topics
211
Concluding philosophical remarks
250
Bibliography
311
Index of Notation
325
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About the author (2000)

Michael Dummett is at University of Oxford.

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