Introduction to mathematical logic
著者
書誌事項
Introduction to mathematical logic
(Textbooks in mathematics)
CRC Press, c2015
6th ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Goedel, Church, Kleene, Rosser, and Turing.
The sixth edition incorporates recent work on Goedel's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.
目次
The Propositional Calculus. First-Order Logic and Model Theory. Formal Number Theory. Axiomatic Set Theory. Computability. Appendices.
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