Articles liés à Mathematical Structuralism

9781108456432: Mathematical Structuralism
Couverture souple
ISBN 10 : 110845643X ISBN 13 : 9781108456432
Editeur : Cambridge University Press, 2018

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.

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Éditeur
Cambridge University Press
Date d'édition
2018
Langue
anglais
ISBN 10 
110845643X
ISBN 13 
9781108456432
Reliure
Broché
Nombre de pages
100
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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