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Semantics and the Ontology of Number

Semantics and the Ontology of Number

Eric Snyder

Cambridge University Press
Publication date : 2021-05-20

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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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About the book

Author

Eric Snyder

Imprint

Cambridge University Press

Collection

n.c

Publication date

2021-05-20

Pages

n.c

Print ISBN

9781108456258

Language

English

Ebook informations

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9781108680554

Price

£18.99

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File size 1300 Ko

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EAN EPUB

9781108653053

Price

£18.99

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File size 3441 Ko

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About author(s)

Eric Snyder

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