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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2021
|
| Schriftenreihe: | Cambridge elements
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 03 May 2021) |
| Beschreibung: | 1 Online-Ressource (86 Seiten) |
| ISBN: | 9781108602259 |
| DOI: | 10.1017/9781108602259 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047338962 | ||
| 003 | DE-604 | ||
| 005 | 20210706 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 210622s2021 |||| o||u| ||||||eng d | ||
| 020 | |a 9781108602259 |c Online |9 978-1-108-60225-9 | ||
| 024 | 7 | |a 10.1017/9781108602259 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781108602259 | ||
| 035 | |a (OCoLC)1257809032 | ||
| 035 | |a (DE-599)BVBBV047338962 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-473 | ||
| 082 | 0 | |a 510.1 | |
| 100 | 1 | |a Snyder, Eric |d ca. 20./21. Jh. |0 (DE-588)1235839257 |4 aut | |
| 245 | 1 | 0 | |a Semantics and the ontology of number |c Eric Snyder |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2021 | |
| 300 | |a 1 Online-Ressource (86 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge elements | |
| 500 | |a Title from publisher's bibliographic system (viewed on 03 May 2021) | ||
| 520 | |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 | ||
| 650 | 4 | |a Mathematics / Philosophy | |
| 650 | 0 | 7 | |a Zahl |0 (DE-588)4067271-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Philosophie |0 (DE-588)4045791-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ontologie |0 (DE-588)4075660-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Zahl |0 (DE-588)4067271-2 |D s |
| 689 | 0 | 1 | |a Ontologie |0 (DE-588)4075660-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 1 | 1 | |a Philosophie |0 (DE-588)4045791-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-45625-8 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781108602259 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032741401 | ||
| 966 | e | |u https://doi.org/10.1017/9781108602259 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108602259 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108602259 |l UBG01 |p ZDB-20-CBO |q UBG_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804182554159349760 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Snyder, Eric ca. 20./21. Jh |
| author_GND | (DE-588)1235839257 |
| author_facet | Snyder, Eric ca. 20./21. Jh |
| author_role | aut |
| author_sort | Snyder, Eric ca. 20./21. Jh |
| author_variant | e s es |
| building | Verbundindex |
| bvnumber | BV047338962 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781108602259 (OCoLC)1257809032 (DE-599)BVBBV047338962 |
| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108602259 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02743nmm a2200529zc 4500</leader><controlfield tag="001">BV047338962</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210706 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">210622s2021 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108602259</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-108-60225-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781108602259</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781108602259</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1257809032</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047338962</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-473</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510.1</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Snyder, Eric</subfield><subfield code="d">ca. 20./21. Jh.</subfield><subfield code="0">(DE-588)1235839257</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Semantics and the ontology of number</subfield><subfield code="c">Eric Snyder</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (86 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge elements</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 03 May 2021)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics / Philosophy</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahl</subfield><subfield code="0">(DE-588)4067271-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Philosophie</subfield><subfield code="0">(DE-588)4045791-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ontologie</subfield><subfield code="0">(DE-588)4075660-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahl</subfield><subfield code="0">(DE-588)4067271-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Ontologie</subfield><subfield code="0">(DE-588)4075660-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Philosophie</subfield><subfield code="0">(DE-588)4045791-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-45625-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781108602259</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032741401</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108602259</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108602259</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108602259</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBG_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV047338962 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:33:46Z |
| indexdate | 2024-07-10T09:09:23Z |
| institution | BVB |
| isbn | 9781108602259 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032741401 |
| oclc_num | 1257809032 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-473 DE-BY-UBG |
| owner_facet | DE-12 DE-92 DE-473 DE-BY-UBG |
| physical | 1 Online-Ressource (86 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBG_PDA_CBO |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge elements |
| 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 |