Elements of logical reasoning
 Author/Creator
 Von Plato, Jan, author.
 Language
 English.
 Publication
 Cambridge ; New York : Cambridge University Press, 2013.
 Physical description
 ix, 264 pages : illustrations ; 25 cm
Access
Available online

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QA9 .V66 2013

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QA9 .V66 2013
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Contents/Summary
 Bibliography
 Includes bibliographical references (pages 256260) and indexes.
 Contents

 Machine generated contents note: Part 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.
 Summary
 "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 premisses 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" Provided by publisher.
 Supplemental links
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Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Jan Von Plato.
 ISBN
 9781107036598
 1107036593
 9781107610774
 110761077X