Introduction to mathematical logic

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