Three Views of Logic

Three Views of Logic
Author: Donald W. Loveland
Publisher: Princeton University Press
Total Pages: 344
Release: 2014-01-26
Genre: Mathematics
ISBN: 140084875X


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Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses


Three Views of Logic
Language: en
Pages: 344
Authors: Donald W. Loveland
Categories: Mathematics
Type: BOOK - Published: 2014-01-26 - Publisher: Princeton University Press

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Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook cove
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Language: en
Pages: 308
Authors: Zondervan,
Categories: Religion
Type: BOOK - Published: 2010-06-01 - Publisher: Zondervan Academic

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For Christians, the issues raised by the different views on creation and evolution are challenging. Can a "young earth" be reconciled with a universe that appea
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Language: en
Pages: 286
Authors: Raymond M. Smullyan
Categories: Mathematics
Type: BOOK - Published: 2012-07-04 - Publisher: Knopf

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Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, ent
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Language: en
Pages: 416
Authors: Peter B. Andrews
Categories: Computers
Type: BOOK - Published: 2002-07-31 - Publisher: Springer Science & Business Media

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In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introducti
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Language: en
Pages: 514
Authors: Richard E. Hodel
Categories: Mathematics
Type: BOOK - Published: 2013-01-01 - Publisher: Courier Corporation

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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains