by Stephen G. Simpson
Publisher: Pennsylvania State University 2013
Number of pages: 128
This is a course of Mathematical Logic for all mathematics graduate students. The text covers the propositional calculus, the predicate calculus, proof systems for propositional and predicate calculus, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
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by Nuel Belnap - University of Pittsburgh
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.
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An examination of the role of partial information - with illustrations drawn from different branches of Intensional Logic - and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers.
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We give a theoretical and applicable framework for dealing with real-world phenomena. Joining pointwise and pointfree notions in BISH, natural topology gives a faithful idea of important concepts and results in intuitionism.
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The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.