Topics in Modern Logic

D. C. Makinson

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Hardback

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English

Routledge
12 November 2019

Philosophy: logic; Philosophy of mathematics; Mathematical logic; Set theory; Discrete mathematics

Series: Routledge Library Editions: Logic

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.

There are exercises within the text, set out alongside the theoretical ideas that they involve.

By: D. C. Makinson
Imprint: Routledge
Country of Publication: United Kingdom
Volume: 14
Dimensions: Height: 198mm, Width: 129mm,
Weight: 226g
ISBN: 9780367420512
ISBN 10: 0367420511
Series: Routledge Library Editions: Logic
Pages: 118
Publication Date: 12 November 2019
Audience: General/trade , College/higher education , ELT Advanced , Primary
Format: Hardback
Publisher's Status: Active

Preface 1. Some Aspects of Truth-Functional Logic 2. Some Modified Implication Relations 3. Some Aspects of Quantificational Logic 4. Remarks on the Intuitionistic Approach to Logic 5. From Logic to Set Theory. Answers to Selected Exercises. Guide to Further Reading

Makinson\, D. C.