Mathematical Structuralism (Elements in the Philosophy of Mathematics)

Hellman, Geoffrey; Shapiro, Stewart

ISBN 10: 110845643X / ISBN 13: 9781108456432

Published by Cambridge University Press, 2018

About this Item

PRINT ON DEMAND pp. 100.

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Bibliographic Details

• 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

About this title

Synopsis

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.

Book Description

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.