Semantics and the Ontology of Number by Eric Snyder
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Format Paperback
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Description 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 outlines a recent debate between substantivalists and adjectivalists regarding the semantic function of number words in numerical statements.
Publisher Description
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.
Details ISBN 1108456251 ISBN-13 9781108456258 Title Semantics and the Ontology of Number Author Eric Snyder Format Paperback Year 2021 Pages 75 Publisher Cambridge University Press GE_Item_ID:131955809; About Us
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