# Introduction to mathematical logic

##### By: Mendelson, Elliott.

Material type: BookSeries: Discrete Mathematics and Its Applications ; Textbooks in Mathematics. Publisher: Boca Raton CRC Press 2015Edition: 6th.Description: xxiv, 489 p. Includes bibliographical references and index.ISBN: 9781482237726.Subject(s): Logic, symbolic and mathematical | Propositional calculus | Computability | Formal number theory - Consistency proof | First-order logicDDC classification: 511.3 Summary: 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 Gödel, Church, Kleene, Rosser, and Turing. The sixth edition incorporates recent work on Gödel’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. https://www.crcpress.com/Introduction-to-Mathematical-Logic/Mendelson/p/book/9781482237726Item type | Current location | Item location | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|

Books | Vikram Sarabhai Library General Stacks | Slot 1353 (0 Floor, East Wing) | Non-fiction | 511.3 M3I6 (Browse shelf) | Available | 200257 |

Table of contents:

Preface

Introduction

The Propositional Calculus

First-Order Logic and Model Theory

Formal Number Theory

Axiomatic Set Theory

Computability

Appendix A: Second-Order Logic

Appendix B: First Steps in Modal Propositional Logic

Appendix C: A Consistency Proof for Formal Number Theory

Answers to Selected Exercises

Bibliography

Notations

Index

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 Gödel, Church, Kleene, Rosser, and Turing.

The sixth edition incorporates recent work on Gödel’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.

https://www.crcpress.com/Introduction-to-Mathematical-Logic/Mendelson/p/book/9781482237726

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