02806cam a2200385 i 4500
3345
3345
17897077
20181213090823.0
130924s2013 enka b 001 0 eng
2013039013
9781107036598 (hardback)
9781107610774 (paperback)
DLC
eng
DLC
rda
DLC
pcc
QA9
.V66 2013
511.3
23
MAT018000
bisacsh
Von Plato, Jan,
author.
Elements of logical reasoning /
1st ed.
Cambridge ;
New York :
Cambridge University Press,
2013.
Cambridge ;
Cambridge University Press,
2013.
ix, 264 pages :
illustrations ;
25 cm
text
rdacontent
unmediated
rdamedia
volume
rdacarrier
Includes bibliographical references (pages 256-260) and indexes.
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.
"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.
MATHEMATICS / Logic.
bisacsh
7
cbc
orignew
1
ecip
20
y-gencatlg
ddc
BK
0
0
ddc
0
0
MSA
MSA
Second Floor - Engineering & Architecture
2016-11-16
0
511.3 V.J.E 2013
23801
2016-11-16
2016-11-16
BK