Elements of intuitionism
著者
書誌事項
Elements of intuitionism
（Oxford logic guides, 39）
Clarendon Press , Oxford University Press, 2000
2nd ed
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注記
First ed. published in 1977
"Oxford science publications"--Cover
Includes bibliographical references (p. [311]-324) and indexes
内容説明・目次
内容説明
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
目次
- 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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