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About The Book
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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.