Semantics and the Ontology of Number
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Part of Elements in the Philosophy of Mathematics
- Author: Eric Snyder, Ashoka University
- Date Published: May 2021
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781108680554
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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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×Product details
- Date Published: May 2021
- format: Adobe eBook Reader
- isbn: 9781108680554
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction
2. Substantivalism and Adjectivalism
3. Polymorphism and the Ontology of Number.
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