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Semantics and the Ontology of Number.

Semantics and the Ontology of Number.

・ISBN 978-1-108-45625-8 paper GB£ 18.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-108-60225-9

著者・編者Snyder, Eric,
シリーズElements in the Philosophy of Mathematics
出版社(Cambridge U. Pr., UK)
出版年月2021.04
ページ数75 pp.
言語ENG
ニュース番号<661-L231 661-P389>

解説

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.