Fundamentals of Mathematical Logic

Fundamentals of Mathematical Logic by Hinman, Peter G.. Hardcover edition. ISBN: 9781568812625.

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödels Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the authors more than 35 years of teaching experience, the book develops students intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.