Neil Barton (Universitetet i Oslo)

Iterative Conceptions of Set

• Broschiertes Buch

Produktbeschreibung

This Element will examine possibilities for articulating this solution. The author hopes to make some of the underlying mathematical and philosophical ideas behind tricky bits of the philosophy of set theory clear for philosophers.

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Produktdetails

• Elements in the Philosophy of Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 104
• Erscheinungstermin: 22. Mai 2024
• Englisch
• Abmessung: 229mm x 152mm x 7mm
• Gewicht: 168g
• ISBN-13: 9781009227261
• ISBN-10: 1009227262
• Artikelnr.: 70840639

Inhaltsangabe

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.