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An algebraic introduction to mathematical logic

Author: D W Barnes; J M Mack
Publisher: New York : Springer-Verlag, [1975]
Series: Graduate texts in mathematics, v. 22.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub stantial course on abstract algebra. Consequently, our treatment ofthe sub ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Barnes, D.W. (Donald W.), 1935-
Algebraic introduction to mathematical logic.
New York : Springer-Verlag, [1975]
(DLC) 74022241
(OCoLC)1057000
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D W Barnes; J M Mack
ISBN: 9781475744897 1475744897 9781475744910 1475744919
OCLC Number: 681216950
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 121 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: I Universal Algebra --
II Propositional Calculus --
III Properties of the Propositional Calculus --
IV Predicate Calculus --
V First-Order Mathematics --
VI Zermelo-Fraenkel Set Theory --
VII Ultraproducts --
VIII Non-Standard Models --
IX Turing Machines and Gödel Numbers --
X Hilbert's Tenth Problem, Word Problems --
References and Further Reading --
Index of Notations.
Series Title: Graduate texts in mathematics, v. 22.
Responsibility: D.W. Barnes, J.M. Mack.

Abstract:

We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model,  Read more...

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