Mathematical Structuralism

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Society, Politics & Philosophy - Major Branches of Philosophical Study
Mathematical Structuralism

Mathematical Structuralism

Name: Mathematical Structuralism
ISBN: 9781108582933

Geoffrey Hellman, Stewart Shapiro

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he 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 book 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.

Κατηγορίες:

Society, Politics & Philosophy - Major Branches of Philosophical Study

Εκδότης:

Cambridge University Press

Γλώσσα:

english

Σελίδες:

100

ISBN 10:

1108582931

ISBN 13:

9781108582933