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Topics in Modern Logic

Topics in Modern Logic

Hardcover

Series: Routledge Library Editions: Logic, Book 14

FictionGeneral MathematicsLogic

Currently unavailable to order

ISBN10: 0367420511
ISBN13: 9780367420512
Publisher: Routledge
Published: Nov 12 2019
Pages: 118
Language: English

Originally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very limited. The author strikes a balance between material of a philosophical and a formal kind, and does this in a way that will bring out the intricate connections between the two. On the formal side, he gives particular care to provide the basic tools from set theory and arithmetic that are needed to study systems of logic, setting out completeness results for two, three, and four valued logic, explaining concepts such as freedom and bondage in quantificational logic, describing the intuitionistic conception of the logical operators, and setting out Zermelo's axiom system for set theory. On the philosophical side, he gives particular attention to such topics as the problem of entailment, the import of the Löwenheim-Skolem theorem, the expressive powers of quantificational logic, the ideas underlying intuitionistic logic, the nature of set theory, and the relationship between logic and set theory.

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