ENGLISH

Sets, Logic and Categories

By Peter J. Cameron

Book information

Publisher
Springer
Year
1998
ISBN
1852330562, 9781852330569
Language
english
Format
DJVU
Filesize
1 MB (1305587 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
1
Pages
180\191
Topic
Mathematics Logic
Library
Kolxo3
DPI
300
Orientation
portrait
Paginated
no
Scanned
yes
Time added
2012-08-21 20:00:00

Description

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.

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