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The Mathematics of Logic: A Guide to Completeness Theorems and Their
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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications Paperback - 2007

by Richard W. Kaye


From the publisher

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with Knig's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

Details

  • Title The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
  • Author Richard W. Kaye
  • Binding Paperback
  • Edition First Edition
  • Pages 216
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, New Delhi, India
  • Date 2007-07-12
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780521708777 / 052170877X
  • Weight 0.65 lbs (0.29 kg)
  • Dimensions 8.8 x 5.9 x 0.4 in (22.35 x 14.99 x 1.02 cm)
  • Library of Congress subjects Logic, Symbolic and mathematical
  • Library of Congress Catalog Number 2007281840
  • Dewey Decimal Code 511.3
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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications

by Kaye, Richard

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The Mathematics of Logic
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The Mathematics of Logic

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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications

The Mathematics of Logic: A Guide to Completeness Theorems and their Applications

by Richard W. Kaye

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Paperback / softback. New. Undergraduate textbook covering the key material for a typical first course in logic, including a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. The author ensures that the number of new concepts at each stage is manageable, whilst providing lively mathematical applications throughout.
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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications
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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications

by Richard W. Kaye

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ISBN 10 / ISBN 13
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Cambridge Univ Pr, 2007. Paperback. New. 1st edition. 204 pages. 8.50x5.75x0.50 inches.
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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications
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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications

by Kaye, Richard W

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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications
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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications

by Kaye, Richard W

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