عنوان

Elements of Logical Reasoning

Country Code

IR

Number

989577

.Language of Text, Soundtrack etc

انگلیسی

Country of publication

IR

Title Proper

Elements of Logical Reasoning

General Material Designation

[Book]

First Statement of Responsibility

/ Jan von Plato

Place of Publication, Distribution, etc.

cambridge, UK

Name of Publisher, Distributor, etc.

: Cambridge University Press

Date of Publication, Distribution, etc.

, 2013.

Specific Material Designation and Extent of Item

ix, 264 p.

Other Physical Details

: ill

Text of Note

Print

Text of Note

Bibliography

Name of source

Index

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"--Provided by publisher. 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.

Logic, Symbolic and mathematical

Reasoning

MATHEMATICS -- Logic., bisacsh

منطق ریاضی

استدلال

ریاضیات -- منطق

Class number

Book number

Von Plato, Jan

Country

ایران

Agency

Library of Foreign Languages and Islamic resource

old catalog

p

BL

1

a

Y