Semantics and the Ontology of Number

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.

List of contents

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

Summary

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.

Product details

• Authors: Eric Snyder
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 30.04.2021
• EAN: 9781108456258
• ISBN: 978-1-108-45625-8
• No. of pages: 75
• Series: Elements in the Philosophy of Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Non-fiction book > Philosophy, religion > Philosophy: general, reference works; PHILOSOPHY / General, Philosophy, SCIENCE / Philosophy & Social Aspects, MATHEMATICS / History & Philosophy, Mathematics, Philosophy of Science, Philosophy of Mathematics