Sets, Logic and Categories

Peter J. Cameron (Autor)

Buch | Softcover

182 Seiten

1999
Springer London Ltd (Verlag)
978-1-85233-056-9 (ISBN)

Artikel merken

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.

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.

Reihe/Serie	Springer Undergraduate Mathematics Series
Zusatzinfo	X, 182 p.
Verlagsort	England
Sprache	englisch
Maße	178 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-85233-056-2 / 1852330562
ISBN-13	978-1-85233-056-9 / 9781852330569
Zustand	Neuware