Elements of Intuitionism

Elements of Intuitionism

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Description

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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Product details

  • Hardback | 344 pages
  • 162 x 241 x 24mm | 674g
  • Clarendon Press
  • Oxford, United Kingdom
  • English
  • Revised
  • 2nd Revised edition
  • line figures
  • 0198505248
  • 9780198505242
  • 2,302,912

Table of contents

Introductory remarks ; 1. Preliminaries ; 2. Elementary intuitionistic mathematics ; 3. Choice sequences and spreads ; 4. The formalization of intuitionistic logic ; 5. The semantics of intuitionistic logic ; 6. Some further topics ; 7 Concluding philosophical remarks ; Bibliography ; Index
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Review quote

The present edition satisfies the highest standards of publishing quality...Dummett certainly succeeded in producing an elementary text, accessible to a wide audience, philosophical as well as mathematical. --The Review o f Modern Logic 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 für 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
show more

Rating details

7 ratings
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