Semantics and the ontology of number:
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore
Cambridge University Press
2021
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Schriftenreihe: | Cambridge elements. Elements in the philosophy of mathematics
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Schlagwörter: | |
Links: | 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 |
Abstract: | 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 |
Umfang: | 86 Seiten Illustrationen 23 cm |
ISBN: | 9781108456258 |
Internformat
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490 | 0 | |a Cambridge elements. Elements in the philosophy of mathematics | |
520 | 3 | |a 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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Datensatz im Suchindex
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adam_text | Contents 1 Introduction 1 2 Substantivalism and Adjectivalism 6 3 Polymorphismand the Ontology of Number Bibliography 42 81
|
any_adam_object | 1 |
author | Snyder, Eric ca. 20./21. Jh |
author_GND | (DE-588)1235839257 |
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author_role | aut |
author_sort | Snyder, Eric ca. 20./21. Jh |
author_variant | e s es |
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id | DE-604.BV047396279 |
illustrated | Illustrated |
indexdate | 2024-12-20T19:18:21Z |
institution | BVB |
isbn | 9781108456258 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032797488 |
oclc_num | 1268178782 |
open_access_boolean | |
owner | DE-12 |
owner_facet | DE-12 |
physical | 86 Seiten Illustrationen 23 cm |
publishDate | 2021 |
publishDateSearch | 2021 |
publishDateSort | 2021 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge elements. Elements in the philosophy of mathematics |
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_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 |
url | 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 |
work_keys_str_mv | AT snydereric semanticsandtheontologyofnumber |