An Introduction to Mathematical Logic

An Introduction to Mathematical Logic
Title An Introduction to Mathematical Logic PDF eBook
Author Richard E. Hodel
Publisher Courier Corporation
Pages 514
Release 2013-01-01
Genre Mathematics
ISBN 0486497852

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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

An Introduction to Mathematical Logic

An Introduction to Mathematical Logic
Title An Introduction to Mathematical Logic PDF eBook
Author Richard E. Hodel
Publisher Brooks/Cole
Pages 520
Release 1995
Genre Mathematics
ISBN

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A mathematics-based logic text with strong emphasis on recursion theory and a new approach emphasizing Godel's theorem building to Hilbert's Tenth Problem. Topics discussed include propositional logic, first order languages and first order logic against a background of logic and mathematics.

Introduction to Mathematical Logic

Introduction to Mathematical Logic
Title Introduction to Mathematical Logic PDF eBook
Author Elliot Mendelsohn
Publisher Springer Science & Business Media
Pages 351
Release 2012-12-06
Genre Science
ISBN 1461572886

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This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest 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. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

A Mathematical Introduction to Logic

A Mathematical Introduction to Logic
Title A Mathematical Introduction to Logic PDF eBook
Author Herbert B. Enderton
Publisher Elsevier
Pages 330
Release 2001-01-23
Genre Computers
ISBN 0080496466

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A Mathematical Introduction to Logic

A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic
Title A Friendly Introduction to Mathematical Logic PDF eBook
Author Christopher C. Leary
Publisher Lulu.com
Pages 382
Release 2015
Genre Computers
ISBN 1942341075

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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

A Concise Introduction to Mathematical Logic

A Concise Introduction to Mathematical Logic
Title A Concise Introduction to Mathematical Logic PDF eBook
Author Wolfgang Rautenberg
Publisher Springer
Pages 337
Release 2010-07-01
Genre Mathematics
ISBN 1441912215

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Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

Mathematical Logic

Mathematical Logic
Title Mathematical Logic PDF eBook
Author Stephen Cole Kleene
Publisher Courier Corporation
Pages 436
Release 2013-04-22
Genre Mathematics
ISBN 0486317072

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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.