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Elements of Logical Reasoning by Jan von Plato (2014, Trade Paperback)

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Informazioni su questo prodotto

Product Identifiers

PublisherCambridge University Press

ISBN-10110761077X

ISBN-139781107610774

eBay Product ID (ePID)16038788326

Product Key Features

Number of Pages271 Pages

Publication NameElements of Logical Reasoning

LanguageEnglish

Publication Year2014

SubjectGeneral, Logic

TypeTextbook

AuthorJan Von Plato

Subject AreaMathematics, Philosophy

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Weight19.7 Oz

Item Length9.7 in

Item Width6.8 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2013-039013

Dewey Edition23

Reviews"Elements of Logical Reasoning fills a gap by providing some much needed explanation and motivation to an otherwise dry literature." Henry Towsner, The Mathematical Intelligencer, 'Elements of Logical Reasoning fills a gap by providing some much needed explanation and motivation to an otherwise dry literature.' Henry Towsner, The Mathematical Intelligencer

IllustratedYes

Dewey Decimal160

Table Of ContentPart I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting.

SynopsisThis book is an accessible and scientifically rigorous introduction to the principles of logical reasoning, covering many topics including the deductive machinery of metalogic, otherwise known as the nature and function of proofs. It will be valuable to students of logic, mathematics and computer science., Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

LC Classification NumberBC177