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Logic, Induction and Sets

Logic, Induction and Sets

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textbook

Part of London Mathematical Society Student Texts

  • Date Published: July 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521533614

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  • Philosophical considerations, which are often ignored or treated casually, are given careful consideration in this introduction. Thomas Forster places the notion of inductively defined sets (recursive datatypes) at the center of his exposition resulting in an original analysis of well established topics. The presentation illustrates difficult points and includes many exercises. Little previous knowledge of logic is required and only a knowledge of standard undergraduate mathematics is assumed.

    • Inductively defined sets play a central role
    • Great care is taken to motivate the axioms of set theory
    • Philosophical concerns emphasised
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    Reviews & endorsements

    "This is a remarkable book, presenting an introduction to mathematical logic and axiomatic set theory from a unified standpoint. ...highly recommended..." MathSciNet

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    Product details

    • Date Published: July 2003
    • format: Paperback
    • isbn: 9780521533614
    • length: 246 pages
    • dimensions: 229 x 152 x 13 mm
    • weight: 0.34kg
    • contains: 125 exercises
    • availability: Available
  • Table of Contents

    1. Definitions and notations
    2. Recursive datatypes
    3. Partially ordered sets
    4. Propositional calculus
    5. Predicate calculus
    6. Computable functions
    7. Ordinals
    8. Set theory
    9. Answers to selected questions.

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    Logic, Induction and Sets

    Thomas Forster

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  • Instructors have used or reviewed this title for the following courses

    • Introduction to Proof
    • Mathematical Logic ll
  • Author

    Thomas Forster, University of Cambridge

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