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Semantics and the Ontology of Number: Elements in the Philosophy of Mathematics

Autor Eric Snyder
en Limba Engleză Paperback – 19 mai 2021
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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Specificații

ISBN-13: 9781108456258
ISBN-10: 1108456251
Pagini: 75
Dimensiuni: 152 x 228 x 5 mm
Greutate: 0.14 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Elements in the Philosophy of Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Introduction; 2. Substantivalism and Adjectivalism; 3. Polymorphism and the Ontology of Number.

Descriere

What are the meanings of number expressions, what can they tell us about questions central to the philosophy of mathematics?