Mathematical Structuralism
Book Details
Format
Paperback / softback
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
110845643X
ISBN-13
9781108456432
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 29th, 2018
Print length
100 Pages
Weight
160 grams
Dimensions
15.00 x 22.90 x 0.40 cms
Product Classification:
Philosophy of mathematicsPhilosophy of science
KSh 3,400.00
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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.
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