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Catalogue Information
Field name
Details
Dewey Class
511.3
Title
Sets, Logic and Categories ([EBook]) / by Peter J. Cameron.
Author
Cameron, Peter Jephson , 1947-
Other name(s)
SpringerLink (Online service)
Publication
London : Springer, London , 1998.
Physical Details
X, 182 p. : online resource.
Series
Springer undergraduate mathematics series
1615-2085
ISBN
9781447105893
Summary Note
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.:
Contents note
1. Naïve set theory -- 2. Ordinal numbers -- 3. Logic -- 4. First-order logic -- 5. Model theory -- 6. Axiomatic set theory -- 7. Categories -- 8. Where to from here? -- Solutions to selected exercises -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4471-0589-3
Links to Related Works
Subject References:
Category Theory, Homological Algebra
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Category theory (Mathematics)
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Homological algebra
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K-Theory
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Mathematical logic
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Mathematical Logic and Foundations
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Mathematics
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Authors:
Cameron, Peter Jephson 1947-
.
Cameron, Peter Jephson, 1947-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
.
Classification:
511.3
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