Mathematical Structuralism (Paperback)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Elements in the Philosophy of Mathematics
Release date:	November 2018
Authors:	Geoffrey Hellman • Stewart Shapiro
Dimensions:	230 x 150 x 5mm (L x W x T)
Format:	Paperback - Trade
Pages:	75
ISBN-13:	978-1-108-45643-2
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Science: general issues > Philosophy of science
LSN:	1-108-45643-X
Barcode:	9781108456432

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