عنوان

Elements of logical reasoning /

(Number (ISBN

1107036593 (hardback)

(Number (ISBN

110761077X (paperback)

(Number (ISBN

9781107036598 (hardback)

(Number (ISBN

9781107610774 (paperback)

Number

dltt

Title Proper

Elements of logical reasoning /

General Material Designation

[Book]

First Statement of Responsibility

Jan von Plato

Specific Material Designation and Extent of Item

ix, 264 pages ;

Dimensions

26 cm

Text of Note

Includes bibliographical references and index

Text of Note

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

8

Text of Note

"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"--

Logic, Symbolic and mathematical

Reasoning

Number

Edition

Class number

Book number

Von Plato, Jan

Date of Transaction

20160712084058.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y