Iterative Conceptions of Set
by
Neil Barton
Book Details
Format
Hardback or Cased Book
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
1009478524
ISBN-13
9781009478526
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 13th, 2024
Print length
104 Pages
Weight
290 grams
Dimensions
22.90 x 15.20 x 0.80 cms
Product Classification:
PhilosophyPhilosophy
Ksh 10,100.00
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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.
Many philosophers are aware of the paradoxes of set theory (e.g. Russell's paradox). For many people, these were solved by the iterative conception of set which holds that sets are formed in stages by collecting sets available at previous stages. This Element will examine possibilities for articulating this solution. In particular, the author argues that there are different kinds of iterative conception, and it's open which of them (if any) is the best. Along the way, 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 more widely and make their relationships to some other questions in philosophy perspicuous.
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