Iterative Conceptions of Set

Author:   Neil Barton (Universitetet i Oslo)
Publisher:   Cambridge University Press
ISBN:  

9781009478526


Pages:   104
Publication Date:   13 June 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Iterative Conceptions of Set


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Author:   Neil Barton (Universitetet i Oslo)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
ISBN:  

9781009478526


ISBN 10:   1009478524
Pages:   104
Publication Date:   13 June 2024
Audience:   General/trade ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction; 2. Why set theory?; 3. The naive conception of set and the classic paradoxes; 4. The logical and combinatorial conceptions of set; 5. Iterative conceptions: first examples; 6. Forcing as a construction method; 7. A 'new' kind of paradox?; 8. Countabilist conceptions of iterative set; 9. Mathematics and philosophy under the different conceptions; 10. Conclusions, open questions, and the future; References.

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