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...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore
Cambridge University Press
2021
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| Series: | Cambridge elements. Elements in the philosophy of mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| 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 |
| Physical Description: | 86 Seiten Illustrationen 23 cm |
| ISBN: | 9781108456258 |
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Record in the Search Index
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| adam_text | Contents 1 Introduction 1 2 Substantivalism and Adjectivalism 6 3 Polymorphismand the Ontology of Number Bibliography 42 81
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Contents 1 Introduction 1 2 Substantivalism and Adjectivalism 6 3 Polymorphismand the Ontology of Number Bibliography 42 81 |
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| series2 | Cambridge elements. Elements in the philosophy of mathematics |
| spelling | Snyder, Eric ca. 20./21. Jh. Verfasser (DE-588)1235839257 aut Semantics and the ontology of number Eric Snyder (Ashoka University) Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore Cambridge University Press 2021 86 Seiten Illustrationen 23 cm txt rdacontent n rdamedia nc rdacarrier Cambridge elements. Elements in the philosophy of mathematics 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 Mathematik (DE-588)4037944-9 gnd rswk-swf Ontologie (DE-588)4075660-9 gnd rswk-swf Zahl (DE-588)4067271-2 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematics / Philosophy Semantics (Philosophy) Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Zahl (DE-588)4067271-2 s Ontologie (DE-588)4075660-9 s Erscheint auch als Online-Ausgabe 9781108680554 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032797488&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Snyder, Eric ca. 20./21. Jh Semantics and the ontology of number Mathematik (DE-588)4037944-9 gnd Ontologie (DE-588)4075660-9 gnd Zahl (DE-588)4067271-2 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4075660-9 (DE-588)4067271-2 (DE-588)4045791-6 |
| 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 (Ashoka University) |
| title_fullStr | Semantics and the ontology of number Eric Snyder (Ashoka University) |
| title_full_unstemmed | Semantics and the ontology of number Eric Snyder (Ashoka University) |
| title_short | Semantics and the ontology of number |
| title_sort | semantics and the ontology of number |
| topic | Mathematik (DE-588)4037944-9 gnd Ontologie (DE-588)4075660-9 gnd Zahl (DE-588)4067271-2 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Mathematik Ontologie Zahl Philosophie |
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