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Mathematical Structuralism (Paperback)
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Mathematical Structuralism (Paperback)
Series: Elements in the Philosophy of Mathematics
Expected to ship within 10 - 15 working days
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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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