The waltz of reason: the entanglement of mathematics and philosophy
"Over Plato's Academy in ancient Athens, it is said, hung a sign: "Let no one ignorant of geometry enter here." Plato thought no one could do philosophy without also doing mathematics. In The Waltz of Reason, mathematician and philosopher Karl Sigmund shows us why. Charting an ep...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Basic Books
December 2023
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Over Plato's Academy in ancient Athens, it is said, hung a sign: "Let no one ignorant of geometry enter here." Plato thought no one could do philosophy without also doing mathematics. In The Waltz of Reason, mathematician and philosopher Karl Sigmund shows us why. Charting an epic story spanning millennia and continents, Sigmund shows that philosophy and mathematics are inextricably intertwined, mutual partners in a reeling search for truth. Beginning with-appropriately enough-geometry, Sigmund explores the power and beauty of numbers and logic, and then shows how those ideas laid the ground work for everything from the theory of a fair election, to modern conceptions of governance, cooperation, morality, and even of reason itself. Did you know, for example, that John Locke, author of some of the most important texts in the Western theory of government, was motivated in his work by his study of geometry? Or, that Locke was actually terrible at geometry, a seventeenth-century mathematical laughingstock? He was, a fact that might want us to think again about the logic of his life's work. And Locke wasn't the only one! Sigmund reveals how many of our modern ideas about what is true and what is reasonable are based on similarly shaky grounds. The economists and other thinkers who promulgated game theory, classical economics, and behavioral economics-the basis of so much in modern life-were not necessarily good at either math or philosophy, or both. The result is a remarkable book: accessible, funny, and wise, it tells an engrossing history of ideas that spins as dizzyingly and beautifully as a ballroom full of expert dancers. But it doesn't just celebrate the past. Instead, by making all these great ideas accessible to all, The Waltz of Reason empowers as it entertains, giving each of us the tools to ask, what do we know, how do we know it, and what do we want to do, with all these ideas?"-- |
| Beschreibung: | 440 Seiten Illustrationen, Diagramme, Porträts, Porträt (des Verfassers) 24,3 cm |
| ISBN: | 9781541602694 |
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| 520 | 3 | |a "Over Plato's Academy in ancient Athens, it is said, hung a sign: "Let no one ignorant of geometry enter here." Plato thought no one could do philosophy without also doing mathematics. In The Waltz of Reason, mathematician and philosopher Karl Sigmund shows us why. Charting an epic story spanning millennia and continents, Sigmund shows that philosophy and mathematics are inextricably intertwined, mutual partners in a reeling search for truth. Beginning with-appropriately enough-geometry, Sigmund explores the power and beauty of numbers and logic, and then shows how those ideas laid the ground work for everything from the theory of a fair election, to modern conceptions of governance, cooperation, morality, and even of reason itself. Did you know, for example, that John Locke, author of some of the most important texts in the Western theory of government, was motivated in his work by his study of geometry? Or, that Locke was actually terrible at geometry, a seventeenth-century mathematical laughingstock? He was, a fact that might want us to think again about the logic of his life's work. And Locke wasn't the only one! Sigmund reveals how many of our modern ideas about what is true and what is reasonable are based on similarly shaky grounds. The economists and other thinkers who promulgated game theory, classical economics, and behavioral economics-the basis of so much in modern life-were not necessarily good at either math or philosophy, or both. The result is a remarkable book: accessible, funny, and wise, it tells an engrossing history of ideas that spins as dizzyingly and beautifully as a ballroom full of expert dancers. But it doesn't just celebrate the past. Instead, by making all these great ideas accessible to all, The Waltz of Reason empowers as it entertains, giving each of us the tools to ask, what do we know, how do we know it, and what do we want to do, with all these ideas?"-- | |
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Datensatz im Suchindex
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|---|---|
| adam_text |
Contents 1 Introduction PART I 7 1 Geometry 2 Number 35 3 Infinity 57 4 Logic 83 5 Computation 110 PART II 6 Limits 141 7 Probability 165 8 Randomness 188 PART III 9 Voting 215 10 Decision 11 Cooperation 247 12 Social Contract 277 13 Fairness 298 . 229 PART IV 14 Language 323 15 Philosophy 344 16 Understanding 361 Acknowledgments 387 References 389 Bibliography 401 Image Credits 419 Index 425 |
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| ctrlnum | (OCoLC)1412534989 (DE-599)BVBBV049631155 |
| discipline | Mathematik |
| edition | First edition |
| era | Ideengeschichte gnd |
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| spelling | Sigmund, Karl 1945- Verfasser (DE-588)115427368 aut The waltz of reason the entanglement of mathematics and philosophy Karl Sigmund First edition New York, NY Basic Books December 2023 440 Seiten Illustrationen, Diagramme, Porträts, Porträt (des Verfassers) 24,3 cm txt rdacontent n rdamedia nc rdacarrier "Over Plato's Academy in ancient Athens, it is said, hung a sign: "Let no one ignorant of geometry enter here." Plato thought no one could do philosophy without also doing mathematics. In The Waltz of Reason, mathematician and philosopher Karl Sigmund shows us why. Charting an epic story spanning millennia and continents, Sigmund shows that philosophy and mathematics are inextricably intertwined, mutual partners in a reeling search for truth. Beginning with-appropriately enough-geometry, Sigmund explores the power and beauty of numbers and logic, and then shows how those ideas laid the ground work for everything from the theory of a fair election, to modern conceptions of governance, cooperation, morality, and even of reason itself. Did you know, for example, that John Locke, author of some of the most important texts in the Western theory of government, was motivated in his work by his study of geometry? Or, that Locke was actually terrible at geometry, a seventeenth-century mathematical laughingstock? He was, a fact that might want us to think again about the logic of his life's work. And Locke wasn't the only one! Sigmund reveals how many of our modern ideas about what is true and what is reasonable are based on similarly shaky grounds. The economists and other thinkers who promulgated game theory, classical economics, and behavioral economics-the basis of so much in modern life-were not necessarily good at either math or philosophy, or both. The result is a remarkable book: accessible, funny, and wise, it tells an engrossing history of ideas that spins as dizzyingly and beautifully as a ballroom full of expert dancers. But it doesn't just celebrate the past. Instead, by making all these great ideas accessible to all, The Waltz of Reason empowers as it entertains, giving each of us the tools to ask, what do we know, how do we know it, and what do we want to do, with all these ideas?"-- Ideengeschichte gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematics / Philosophy Mathematics / History Mathematics and civilization Mathématiques / Philosophie Mathématiques / Histoire PHILOSOPHY / Ethics & Moral Philosophy Mathematik (DE-588)4037944-9 s Ideengeschichte z DE-604 Erscheint auch als Online-Ausgabe 978-1-5416-0270-0 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034974981&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sigmund, Karl 1945- The waltz of reason the entanglement of mathematics and philosophy Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | The waltz of reason the entanglement of mathematics and philosophy |
| title_auth | The waltz of reason the entanglement of mathematics and philosophy |
| title_exact_search | The waltz of reason the entanglement of mathematics and philosophy |
| title_exact_search_txtP | The waltz of reason the entanglement of mathematics and philosophy |
| title_full | The waltz of reason the entanglement of mathematics and philosophy Karl Sigmund |
| title_fullStr | The waltz of reason the entanglement of mathematics and philosophy Karl Sigmund |
| title_full_unstemmed | The waltz of reason the entanglement of mathematics and philosophy Karl Sigmund |
| title_short | The waltz of reason |
| title_sort | the waltz of reason the entanglement of mathematics and philosophy |
| title_sub | the entanglement of mathematics and philosophy |
| topic | Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik |
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