The Euclidean Programme:
The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowledge - is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected i...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
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| Schriftenreihe: | Cambridge elements
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| Schlagworte: | |
| Online-Zugang: | DE-12 DE-634 DE-92 Volltext |
| Zusammenfassung: | The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowledge - is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 01 Feb 2024) |
| Beschreibung: | 1 Online-Ressource (73 Seiten) |
| ISBN: | 9781009221955 |
| DOI: | 10.1017/9781009221955 |
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Datensatz im Suchindex
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| author | Paseau, Alexander 1974- Wrigley, Wesley |
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| dewey-full | 121 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 121 - Epistemology (Theory of knowledge) |
| dewey-raw | 121 |
| dewey-search | 121 |
| dewey-sort | 3121 |
| dewey-tens | 120 - Epistemology, causation, humankind |
| discipline | Philosophie |
| doi_str_mv | 10.1017/9781009221955 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-12-02T09:01:43Z |
| institution | BVB |
| isbn | 9781009221955 |
| language | English |
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| spelling | Paseau, Alexander 1974- (DE-588)1127559281 aut The Euclidean Programme A. C. Paseau, Wesley Wrigley Cambridge Cambridge University Press 2024 1 Online-Ressource (73 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge elements Title from publisher's bibliographic system (viewed on 01 Feb 2024) The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowledge - is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme Euclides Megarensis ca. v450-v370 (DE-588)118682571 gnd rswk-swf Knowledge, Theory of Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Euclides Megarensis ca. v450-v370 (DE-588)118682571 p Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Wrigley, Wesley aut Erscheint auch als Druck-Ausgabe 978-1-009-49440-3 Erscheint auch als Druck-Ausgabe 978-1-009-22198-6 https://doi.org/10.1017/9781009221955 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Paseau, Alexander 1974- Wrigley, Wesley The Euclidean Programme Euclides Megarensis ca. v450-v370 (DE-588)118682571 gnd Knowledge, Theory of Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)118682571 (DE-588)4045791-6 (DE-588)4037944-9 |
| title | The Euclidean Programme |
| title_auth | The Euclidean Programme |
| title_exact_search | The Euclidean Programme |
| title_full | The Euclidean Programme A. C. Paseau, Wesley Wrigley |
| title_fullStr | The Euclidean Programme A. C. Paseau, Wesley Wrigley |
| title_full_unstemmed | The Euclidean Programme A. C. Paseau, Wesley Wrigley |
| title_short | The Euclidean Programme |
| title_sort | the euclidean programme |
| topic | Euclides Megarensis ca. v450-v370 (DE-588)118682571 gnd Knowledge, Theory of Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Euclides Megarensis ca. v450-v370 Knowledge, Theory of Philosophie Mathematik |
| url | https://doi.org/10.1017/9781009221955 |
| work_keys_str_mv | AT paseaualexander theeuclideanprogramme AT wrigleywesley theeuclideanprogramme |