Logic, Induction and Sets
Logic, Induction and Sets
Author:
Thomas Forster, University of Cambridge
Published:
July 2003
Availability:
Available
Format:
Paperback
ISBN:
9780521533614
$70.00
(X) USDPaperback
$184.00
(X) USD
Hardback
Philosophical considerations, which are often ignored or treated casually, are given careful consideration in this introduction. Thomas Forster places the notion of inductively defined sets (recursive datatypes) at the center of his exposition resulting in an original analysis of well established topics. The presentation illustrates difficult points and includes many exercises. Little previous knowledge of logic is required and only a knowledge of standard undergraduate mathematics is assumed.
- Inductively defined sets play a central role
- Great care is taken to motivate the axioms of set theory
- Philosophical concerns emphasised
Reviews & endorsements
"This is a remarkable book, presenting an introduction to mathematical logic and axiomatic set theory from a unified standpoint. ...highly recommended..." MathSciNet
Product details
July 2003Paperback
9780521533614
246 pages
229 × 152 × 13 mm
0.34kg
125 exercises
Available
Table of Contents
- 1. Definitions and notations
- 2. Recursive datatypes
- 3. Partially ordered sets
- 4. Propositional calculus
- 5. Predicate calculus
- 6. Computable functions
- 7. Ordinals
- 8. Set theory
- 9. Answers to selected questions.
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