Logic, induction and sets
著者
書誌事項
Logic, induction and sets
（London Mathematical Society student texts, 56）
Cambridge University Press, 2003
- : hbk
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This is an introduction to logic and the axiomatization of set theory from a unique standpoint. Philosophical considerations, which are often ignored or treated casually, are here given careful consideration, and furthermore the author places the notion of inductively defined sets (recursive datatypes) at the centre of his exposition resulting in a treatment of well established topics that is fresh and insightful. The presentation is engaging, but always great care is taken to illustrate difficult points. Understanding is also aided by the inclusion of many exercises. Little previous knowledge of logic is required of the reader, and only a background of standard undergraduate mathematics is assumed.
目次
- 1. Definitions and notations
- 2. Recursive datatypes
- 3. Partially ordered sets
- 4. Propositional calculus
- 5. Predicate calculus
- 6. Computable functions
- 7. Ordinals
- 8. Set theory
- 9. Answers to selected questions.
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