Lectures in Logic and Set Theory: Volume 1, Mathematical Logic

ISBN-13: 9780521753739 / Angielski / Twarda / 2003 / 342 str.

George J. Tourlakis

Opis

This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen.

Recenzje

Review of the hardback: ' … stands among the dozen or so books that will remain within easy reach from my desk … a highly worthwhile addition to the literature.' The Review of Modern Logic

Spis treści

Preface; 1. Basic logic; 2. The second incompleteness theorem; Bibliography; List of symbols; Index.