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Mathematical Structuralism

Geoffrey Hellman author Stewart Shapiro author

Format:Paperback

Publisher:Cambridge University Press

Published:29th Nov '18

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Mathematical Structuralism cover

This study of mathematical structuralism explores its core concern with interrelations in abstraction from the nature of objects.

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 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.

ISBN: 9781108456432

Dimensions: 230mm x 150mm x 5mm

Weight: 200g

75 pages