John P. Mayberry

The Foundations of Mathematics in the Theory of Sets

• Gebundenes Buch

Produktbeschreibung

This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 446
• Erscheinungstermin: 11. Oktober 2010
• Englisch
• Abmessung: 240mm x 161mm x 28mm
• Gewicht: 833g
• ISBN-13: 9780521770347
• ISBN-10: 0521770343
• Artikelnr.: 22079280

Inhaltsangabe

Preface
Part I. Preliminaries: 1. The idea of foundations of mathematics
2. Simple arithmetic
Part II. Basic Set Theory: 3. Semantics, ontology and logic
4. The principal axioms and definitions of set theory
Part III. Cantorian Set Theory: 5. Cantorian finitism
6. The axiomatic method
7. Axiomatic set theory
Part IV. Euclidean Set Theory: 8. Euclidian finitism
9. The Euclidean theory of cardinality
10. The theory of simply infinite systems
11. Euclidean set theory from the Cantorian standpoint
12. Envoi
Appendices
Bibliography
Index.