Definitions and mathematical knowledge:
This Element discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions in foundational programs, and then examines their major varieties, both as regards their origins, their potential epistemic roles, and their formal c...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
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| Schriftenreihe: | Cambridge elements. Elements in the philosophy of mathematics
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| Links: | https://doi.org/10.1017/9781009091084 |
| Zusammenfassung: | This Element discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions in foundational programs, and then examines their major varieties, both as regards their origins, their potential epistemic roles, and their formal constraints. It examines explicit definitions, implicit definitions, and implicit definitions of primitive terms, these latter being further divided into axiomatic and abstractive. After discussing elucidations and explications, various ways in which definitions can yield mathematical knowledge are surveyed. |
| Umfang: | 1 Online-Ressource (94 Seiten) |
| ISBN: | 9781009091084 |
| ISSN: | 2399-2883 |
Internformat
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| id | ZDB-20-CTM-CR9781009091084 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-19T15:53:59Z |
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| isbn | 9781009091084 |
| issn | 2399-2883 |
| language | English |
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| spelling | Sereni, Andrea 1977- Definitions and mathematical knowledge Andrea Sereni Cambridge Cambridge University Press 2024 1 Online-Ressource (94 Seiten) txt c cr Cambridge elements. Elements in the philosophy of mathematics 2399-2883 This Element discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions in foundational programs, and then examines their major varieties, both as regards their origins, their potential epistemic roles, and their formal constraints. It examines explicit definitions, implicit definitions, and implicit definitions of primitive terms, these latter being further divided into axiomatic and abstractive. After discussing elucidations and explications, various ways in which definitions can yield mathematical knowledge are surveyed. Erscheint auch als Druck-Ausgabe 9781009095990 Erscheint auch als Druck-Ausgabe 9781009517676 |
| spellingShingle | Sereni, Andrea 1977- Definitions and mathematical knowledge |
| title | Definitions and mathematical knowledge |
| title_auth | Definitions and mathematical knowledge |
| title_exact_search | Definitions and mathematical knowledge |
| title_full | Definitions and mathematical knowledge Andrea Sereni |
| title_fullStr | Definitions and mathematical knowledge Andrea Sereni |
| title_full_unstemmed | Definitions and mathematical knowledge Andrea Sereni |
| title_short | Definitions and mathematical knowledge |
| title_sort | definitions and mathematical knowledge |
| work_keys_str_mv | AT sereniandrea definitionsandmathematicalknowledge |