Book Details

978-1-84628-229-4

Propositional and Predicate Calculus: A Model of Argument

Publication year: 2005

ISBN: 978-1-84628-229-4

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The topics in the book 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.


Subject: Mathematics and Statistics, Addition, First-order logic, Model Theory, Predicate Calculus, Propositional Calculus, compactness theorem, mathematical logic, proof