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portada Semantics and the Ontology of Number (Elements in the Philosophy of Mathematics)
Type
Physical Book
Author
Publisher
Year
2021
Language
English
Pages
94
Format
Paperback
Dimensions
22.9 x 15.2 x 0.5 cm
Weight
0.14 kg.
ISBN13
9781108456258
Categories

Semantics and the Ontology of Number (Elements in the Philosophy of Mathematics)

Eric Snyder (Author) · Cambridge University Press · Paperback

Semantics and the Ontology of Number (Elements in the Philosophy of Mathematics) - Snyder, Eric

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Synopsis "Semantics and the Ontology of Number (Elements in the Philosophy of Mathematics) "

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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