Sets, Logic and Categories
By: by Peter J. Cameron
Series: Springer Undergraduate Mathematics Series, 1615-2085; Springer undergraduate mathematics series
Publisher: Springer London; Imprint; Springer
Published: 1998
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 182
ISBN-13: 9781447105893
Subjects: Mathematics; Algebra; Symbolic and mathematical Logic; K-theory
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.
Table of contents: title: Naive Set Theory; title: Ordinal Numbers; title: Logic; title: First-order Logic; title: Model theory; title: Axiomatic set theory categories; title: References.