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Building Models by Games
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Building Models by Games Paperback - 1985

by Wilfrid Hodges

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This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.

Details

  • Title Building Models by Games
  • Author Wilfrid Hodges
  • Binding Paperback
  • Edition First Edition.
  • Pages 320
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 1985
  • ISBN 9780521317160 / 0521317169
  • Weight 1.03 lbs (0.47 kg)
  • Category Mathematics
  • Library of Congress subjects Game theory, Model theory
  • Library of Congress Catalogue Number 85047878
  • Dewey Decimal Code 511.8

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Building Models by Games (London Mathematical Society Student Texts, Series Number 2)
Stock photo: cover may vary

Building Models by Games (London Mathematical Society Student Texts, Series Number 2)

by Hodges, Wilfrid

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Paperback
ISBN 10 / ISBN 13
9780521317160 / 0521317169
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paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
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Item price
A$83.25
Free Delivery to USA