Set Theory

John P. Burgess (Princeton University, New Jersey)

$32.95

Paperback

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English

Cambridge University Press
10 March 2022

Philosophy; Philosophy: logic; Set theory

Series: Elements in Philosophy and Logic

Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.

By: John P. Burgess (Princeton University New Jersey)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 229mm, Width: 151mm, Spine: 5mm
Weight: 140g
ISBN: 9781108986915
ISBN 10: 1108986919
Series: Elements in Philosophy and Logic
Pages: 75
Publication Date: 10 March 2022
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

1. Historical Roots; 2. The Notion of Set; 3. The Zermelo-Fraenkel Axioms; 4. Immediate Consequences; 5. Number Systems within Set Theory; 6. Infinities; 7. The Axiom of Choice; 8. Topics in Higher Set Theory; 9. Metamathematics of Set Theory; 10. Large Cardinals and Determinacy; 11. Concluding Philosophical Remarks.

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Set Theory

John P. Burgess (Princeton University, New Jersey)

$32.95

Paperback

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