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Propositional and Predicate Calculus A Model of Argument

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ISBN-10: 1852339217

ISBN-13: 9781852339210

Edition: 2005

Authors: Derek Goldrei

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At the heart of the justification for the reasoning used in modern mathematics lies the completeness theorem for predicate calculus. This unique textbook covers two entirely different ways of looking at such reasoning. Topics include:- the representation of mathematical statements by formulas in a formal language;- the interpretation of formulas as true or false in a mathematical structure;- logical consequence of one formula from others;- formal proof;- the soundness and completeness theorems connecting logical consequence and formal proof;- the axiomatization of some mathematical theories using a formal language;- the compactness theorem and an introduction to model theory.This book is…    
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Book details

Copyright year: 2005
Publisher: Springer
Publication date: 9/8/2005
Binding: Paperback
Pages: 315
Size: 7.50" wide x 9.75" long x 0.50" tall
Weight: 1.298
Language: English

Propositions and Truth Assignments
Formal Propositional Calculus
Predicates and Models
Formal Predicate Calculus
Some Uses of Compactness