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    • Publisher:
      Cambridge University Press
      Publication date:
      06 December 2018
      29 November 2018
      ISBN:
      9781108582933
      9781108456432
      Dimensions:
      Weight & Pages:
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.2kg, 100 Pages
    • Series:
      Elements in the Philosophy of Mathematics
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    Series:
    Elements in the Philosophy of Mathematics

    Book description

    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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