Articles liés à Semantics and the Ontology of Number

Semantics and the Ontology of Number - Couverture souple

Livre 5 sur 6: Elements in the Philosophy of Mathematics

Snyder, Eric

 
9781108456258: Semantics and the Ontology of Number
Couverture souple
ISBN 10 : 1108456251 ISBN 13 : 9781108456258
Editeur : Cambridge University Press, 2021

Synopsis

What are the meanings of number expressions, and what can they tell us about questions of central importance to the philosophy of mathematics, specifically 'Do numbers exist?' This Element attempts to shed light on this question by outlining a recent debate between substantivalists and adjectivalists regarding the semantic function of number words in numerical statements. After highlighting their motivations and challenges, I develop a comprehensive polymorphic semantics for number expressions. I argue that accounting for the numerous meanings and how they are related leads to a strengthened argument for realism, one which renders familiar forms of nominalism highly implausible.

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Éditeur
Cambridge University Press
Date d'édition
2021
Langue
anglais
ISBN 10 
1108456251
ISBN 13 
9781108456258
Reliure
Broché
Nombre de pages
94
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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