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Mathematical Structuralism by Geoffrey Hellman, Stewart Shapiro

Mathematical Structuralism

by Geoffrey Hellman , Stewart Shapiro
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Book cover type: Paperback
  • ISBN13: 9781108456432
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 100
  • Original Price: GBP 18.0
  • Language: English
  • Edition: N/A
  • Item Weight: 114 grams
  • BISAC Subject(s): Philosophy & Social Aspects

The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives.

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