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 attempts to shed light on this question by outlining a recent debate between substantivalists and adj...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2021
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| Series: | Cambridge elements
|
| Subjects: | |
| Online Access: | BSB01 FHN01 UBG01 Volltext |
| 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 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 03 May 2021) |
| Physical Description: | 1 Online-Ressource (86 Seiten) |
| ISBN: | 9781108602259 |
| DOI: | 10.1017/9781108602259 |
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Record in the Search Index
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| spelling | Snyder, Eric ca. 20./21. Jh. (DE-588)1235839257 aut Semantics and the ontology of number Eric Snyder Cambridge Cambridge University Press 2021 1 Online-Ressource (86 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge elements Title from publisher's bibliographic system (viewed on 03 May 2021) 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 Mathematics / Philosophy Zahl (DE-588)4067271-2 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Ontologie (DE-588)4075660-9 gnd rswk-swf Zahl (DE-588)4067271-2 s Ontologie (DE-588)4075660-9 s DE-604 Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s Erscheint auch als Druck-Ausgabe 978-1-108-45625-8 https://doi.org/10.1017/9781108602259 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Snyder, Eric ca. 20./21. Jh Semantics and the ontology of number Mathematics / Philosophy Zahl (DE-588)4067271-2 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd Ontologie (DE-588)4075660-9 gnd |
| subject_GND | (DE-588)4067271-2 (DE-588)4045791-6 (DE-588)4037944-9 (DE-588)4075660-9 |
| title | Semantics and the ontology of number |
| title_auth | Semantics and the ontology of number |
| title_exact_search | Semantics and the ontology of number |
| title_exact_search_txtP | Semantics and the ontology of number |
| title_full | Semantics and the ontology of number Eric Snyder |
| title_fullStr | Semantics and the ontology of number Eric Snyder |
| title_full_unstemmed | Semantics and the ontology of number Eric Snyder |
| title_short | Semantics and the ontology of number |
| title_sort | semantics and the ontology of number |
| topic | Mathematics / Philosophy Zahl (DE-588)4067271-2 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd Ontologie (DE-588)4075660-9 gnd |
| topic_facet | Mathematics / Philosophy Zahl Philosophie Mathematik Ontologie |
| url | https://doi.org/10.1017/9781108602259 |
| work_keys_str_mv | AT snydereric semanticsandtheontologyofnumber |