Kant's mathematical world: mathematics, cognition, and experience
Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2022
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| Subjects: | |
| Online Access: | DE-12 DE-473 Volltext |
| Summary: | Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other |
| Physical Description: | 1 Online-Ressource (xiv, 301 Seiten) Illustrationen |
| ISBN: | 9781108555746 |
| DOI: | 10.1017/9781108555746 |
Staff View
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| id | DE-604.BV047654679 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:50:48Z |
| indexdate | 2025-01-31T17:14:05Z |
| institution | BVB |
| isbn | 9781108555746 |
| language | English |
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| spelling | Sutherland, Daniel 1961- Verfasser (DE-588)143348922 aut Kant's mathematical world mathematics, cognition, and experience Daniel Sutherland (University of Illinois, Chicago) Cambridge Cambridge University Press 2022 1 Online-Ressource (xiv, 301 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other Kant, Immanuel / 1724-1804 Kant, Immanuel 1724-1804 (DE-588)118559796 gnd rswk-swf Mathematics / Philosophy Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kant, Immanuel 1724-1804 (DE-588)118559796 p Mathematik (DE-588)4037944-9 s Erkenntnistheorie (DE-588)4070914-0 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-42996-2 https://doi.org/10.1017/9781108555746 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Sutherland, Daniel 1961- Kant's mathematical world mathematics, cognition, and experience Kant, Immanuel / 1724-1804 Kant, Immanuel 1724-1804 (DE-588)118559796 gnd Mathematics / Philosophy Erkenntnistheorie (DE-588)4070914-0 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)118559796 (DE-588)4070914-0 (DE-588)4037944-9 |
| title | Kant's mathematical world mathematics, cognition, and experience |
| title_auth | Kant's mathematical world mathematics, cognition, and experience |
| title_exact_search | Kant's mathematical world mathematics, cognition, and experience |
| title_exact_search_txtP | Kant's mathematical world mathematics, cognition, and experience |
| title_full | Kant's mathematical world mathematics, cognition, and experience Daniel Sutherland (University of Illinois, Chicago) |
| title_fullStr | Kant's mathematical world mathematics, cognition, and experience Daniel Sutherland (University of Illinois, Chicago) |
| title_full_unstemmed | Kant's mathematical world mathematics, cognition, and experience Daniel Sutherland (University of Illinois, Chicago) |
| title_short | Kant's mathematical world |
| title_sort | kant s mathematical world mathematics cognition and experience |
| title_sub | mathematics, cognition, and experience |
| topic | Kant, Immanuel / 1724-1804 Kant, Immanuel 1724-1804 (DE-588)118559796 gnd Mathematics / Philosophy Erkenntnistheorie (DE-588)4070914-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Kant, Immanuel / 1724-1804 Kant, Immanuel 1724-1804 Mathematics / Philosophy Erkenntnistheorie Mathematik |
| url | https://doi.org/10.1017/9781108555746 |
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