Philosophical uses of categoricity arguments:
This Element addresses the viability of categoricity arguments in philosophy by focusing with some care on the specific conclusions that a sampling of prominent figures have attempted to draw - the same theorem might successfully support one such conclusion while failing to support another. It begin...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
|
| Schriftenreihe: | Cambridge elements
|
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-634 DE-92 Volltext |
| Zusammenfassung: | This Element addresses the viability of categoricity arguments in philosophy by focusing with some care on the specific conclusions that a sampling of prominent figures have attempted to draw - the same theorem might successfully support one such conclusion while failing to support another. It begins with Dedekind, Zermelo, and Kreisel, casting doubt on received readings of the latter two and highlighting the success of all three in achieving what are argued to be their actual goals. These earlier uses of categoricity arguments are then compared and contrasted with more recent work of Parsons and the co-authors Button and Walsh. Highlighting the roles of first- and second-order theorems, of external and internal theorems, the Element concludes that categoricity arguments have been more effective in historical cases that reflect philosophically on internal mathematical matters than in recent questions of pre-theoretic metaphysics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 15 Dec 2023) |
| Beschreibung: | 1 Online-Ressource (64 Seiten) |
| ISBN: | 9781009432894 |
| DOI: | 10.1017/9781009432894 |
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| author | Maddy, Penelope 1950- Väänänen, Jouko 1950- |
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| dewey-full | 121 |
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| dewey-ones | 121 - Epistemology (Theory of knowledge) |
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| dewey-sort | 3121 |
| dewey-tens | 120 - Epistemology, causation, humankind |
| discipline | Philosophie |
| discipline_str_mv | Philosophie |
| doi_str_mv | 10.1017/9781009432894 |
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| isbn | 9781009432894 |
| language | English |
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| spelling | Maddy, Penelope 1950- (DE-588)172245389 aut Philosophical uses of categoricity arguments Penelope Maddy, Jouko Väänänen Cambridge Cambridge University Press 2023 1 Online-Ressource (64 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge elements Title from publisher's bibliographic system (viewed on 15 Dec 2023) This Element addresses the viability of categoricity arguments in philosophy by focusing with some care on the specific conclusions that a sampling of prominent figures have attempted to draw - the same theorem might successfully support one such conclusion while failing to support another. It begins with Dedekind, Zermelo, and Kreisel, casting doubt on received readings of the latter two and highlighting the success of all three in achieving what are argued to be their actual goals. These earlier uses of categoricity arguments are then compared and contrasted with more recent work of Parsons and the co-authors Button and Walsh. Highlighting the roles of first- and second-order theorems, of external and internal theorems, the Element concludes that categoricity arguments have been more effective in historical cases that reflect philosophically on internal mathematical matters than in recent questions of pre-theoretic metaphysics Categories (Philosophy) Mathematics Philosophy Kategorie (DE-588)4131967-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kategorie (DE-588)4131967-9 s Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Väänänen, Jouko 1950- (DE-588)121630544 aut Erscheint auch als Druck-Ausgabe 978-1-009-46796-4 Erscheint auch als Druck-Ausgabe 978-1-009-43292-4 https://doi.org/10.1017/9781009432894 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Maddy, Penelope 1950- Väänänen, Jouko 1950- Philosophical uses of categoricity arguments Categories (Philosophy) Mathematics Philosophy Kategorie (DE-588)4131967-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4131967-9 (DE-588)4045791-6 (DE-588)4037944-9 |
| title | Philosophical uses of categoricity arguments |
| title_auth | Philosophical uses of categoricity arguments |
| title_exact_search | Philosophical uses of categoricity arguments |
| title_exact_search_txtP | Philosophical uses of categoricity arguments |
| title_full | Philosophical uses of categoricity arguments Penelope Maddy, Jouko Väänänen |
| title_fullStr | Philosophical uses of categoricity arguments Penelope Maddy, Jouko Väänänen |
| title_full_unstemmed | Philosophical uses of categoricity arguments Penelope Maddy, Jouko Väänänen |
| title_short | Philosophical uses of categoricity arguments |
| title_sort | philosophical uses of categoricity arguments |
| topic | Categories (Philosophy) Mathematics Philosophy Kategorie (DE-588)4131967-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Categories (Philosophy) Mathematics Philosophy Kategorie Philosophie Mathematik |
| url | https://doi.org/10.1017/9781009432894 |
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