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Iterative Conceptions of Set (Elements in the Philosophy of Mathematics)

Iterative Conceptions of Set (Elements in the Philosophy of Mathematics)

Iterative Conceptions of Set (Elements in the Philosophy of Mathematics)
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Iterative Conceptions of Set (Elements in the Philosophy of Mathematics) Hardback - 2024

by Neil Barton

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Details

  • Title Iterative Conceptions of Set (Elements in the Philosophy of Mathematics)
  • Author Neil Barton
  • Binding Hardback
  • Condition New
  • Pages 104
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2024-06-13
  • Bookseller's Inventory # SKU158984
  • ISBN 9781009478526 / 1009478524
  • Weight 0.69 lbs (0.31 kg)
  • Dimensions 9 x 6 x 0.31 in (22.86 x 15.24 x 0.79 cm)
  • Category Philosophy
  • Quantity available 1

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From the publisher

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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