TY  - BOOK
AU  - Hellman,Geoffrey
AU  - Shapiro,Stewart
TI  - Mathematical structuralism
T2  - Cambridge elements
SN  - 9781108582933 (ebook)
AV  - QA8.4 .H45 2019
U1  - 510.1 23
PY  - 2019///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematics
KW  - Philosophy
KW  - Structuralism
N1  - Title from publisher's bibliographic system (viewed on 11 Dec 2018)
N2  - 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 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
UR  - https://doi.org/10.1017/9781108582933
ER  -