Mathematical Logic and Computability (International Series in Pure and Applied Mathematics)
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Mathematical Logic and Computability (International Series in Pure and Applied Mathematics) by H. Jerome Keisler

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Published by Mcgraw-Hill (Tx) .
Written in English


  • Mathematical logic,
  • Logic,
  • Science/Mathematics,
  • Mathematics

Book details:

The Physical Object
Number of Pages496
ID Numbers
Open LibraryOL9264864M
ISBN 100079129315
ISBN 109780079129314

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Intended for a one-semester advanced undergraduate course in mathematical logic, this book requires some prior knowledge of mathematical proof. The authors emphasize proof theory of computation rather than set theory. A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. A comprehensive and user-friendly guide to the use of logic in mathematical reasoning. Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid Author: George Tourlakis. Mathematical Logic books at E-Books Directory: files with free access on the Internet. proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical.

In this book mathematical logic is presented both as a part of mathe­ matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. mathematical logic. [n the belief that beginners should be exposed to the easiest and most natural proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. He is the author of numerous papers on computability theory and mathematical logic. His Annals of Mathematics paper on automorphisms of computably enumerable sets was selected in the book by Gerald Sacks as one of the most important in mathematical logic in the twentieth : Springer-Verlag Berlin Heidelberg. Quick links. Teach Yourself Logic A Study Guide (find it on by preference, or here); Appendix: Some Big Books on Mathematical Logic (pdf); Book Notes (links to 37 book-by-book webpages, the content overlapping with the Appendix); In more detail, on TYL. Most philosophy departments, and many maths departments too, teach little or no serious logic, .