000 -LEADER |
fixed length control field |
02973nam a22004215i 4500 |
001 - CONTROL NUMBER |
control field |
978-1-84628-229-4 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121230931.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2005 xxk| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781846282294 |
-- |
978-1-84628-229-4 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/1-84628-229-2 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA8.9-10.3 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBC |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBCD |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT018000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.3 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Goldrei, Derek. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Propositional and Predicate Calculus A Model of Argument |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Derek Goldrei. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
London : |
Name of producer, publisher, distributor, manufacturer |
Springer London, |
Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 315 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Propositions and Truth Assignments -- Formal Propositional Calculus -- Predicates and Models -- Formal Predicate Calculus -- Some Uses of Compactness. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
At the heart of the justification for the reasoning used in modern mathematics lies the completeness theorem for predicate calculus. This unique textbook covers two entirely different ways of looking at such reasoning. Topics include: - the representation of mathematical statements by formulas in a formal language; - the interpretation of formulas as true or false in a mathematical structure; - logical consequence of one formula from others; - formal proof; - the soundness and completeness theorems connecting logical consequence and formal proof; - the axiomatization of some mathematical theories using a formal language; - the compactness theorem and an introduction to model theory. This book is designed for self-study by students, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. In addition there are a number of exercises without answers so that students studying under the guidance of a tutor may be assessed on the basis of what has been taught. Some experience of axiom-based mathematics is required but no previous experience of logic. Propositional and Predicate Calculus gives students the basis for further study of mathematical logic and the use of formal languages in other subjects. Derek Goldrei is Senior Lecturer and Staff Tutor at the Open University and part-time Lecturer in Mathematics at Mansfield College, Oxford, UK. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematical logic. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematical Logic and Foundations. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9781852339210 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/1-84628-229-2 |
912 ## - |
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ZDB-2-SMA |