Set Theory and Its Philosophy

A Critical Introduction
Erscheinungsjahr 2004
ISBN: 978-0-19-926973-0
Verlag: OUP Oxford

Buch, Englisch, 360 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 705 g

Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.

A comprehensive philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the va

I. SETS; 1. Logic; 2. Collections; 3. The hierarchy; 4. The theory of sets; 5. Classes; II. NUMBERS; 6. Arithmetic; 7. Counting; 8. Lines; 9. Real numbers; III. CARDINALS AND ORDINALS; 10. Cardinals; 11. Basic cardinal arithmetic; 12. Ordinals; 13. Ordinal aritmetic; IV. FURTHER AXIOMS; 14. Orders of infinity; 15. The axiom of choice; 16. Further cardinal arithmetic

Autoren/Hrsg.

Potter, Michael

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Über Autor(innen)

Michael Potter is University Lecturer in Philosophy, and Fellow of Fitzwilliam College, at Cambridge. He is the author of Sets (1990), on which the present work draws but which was written for a more specialist readership, and Reason's Nearest Kin (2000).