Title: Mathematical Structuralism (Elements in the Philosophy of Mathematics)
Publisher: Cambridge University Press
Publication Date: 2018
Language: English
ISBN 10: 110845643X
ISBN 13: 9781108456432
Binding: Soft cover
Condition: New

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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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