Philosophy of mathematics and mathematical practice in the seventeenth century:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Oxford Univ. Press
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 275 S. graph. Darst. |
| ISBN: | 0195084632 |
Staff View
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| 245 | 1 | 0 | |a Philosophy of mathematics and mathematical practice in the seventeenth century |c Paolo Mancosu |
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Record in the Search Index
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| adam_text | CONTENTS
1. Philosophy of Mathematics and Mathematical Practice in the Early
Seventeenth Century, 8
1.1 The Quaestio de Certitudine Mathematicarum, 10
1.2 The Quaestio in the Seventeenth Century, 15
1.3 The Quaestio and Mathematical Practice, 24
2. Cavalieri s Geometry of Indivisibles and Guldin s Centers of Gravity, 34
2.1 Magnitudes, Ratios, and the Method of Exhaustion, 35
2.2 Cavalieri s Two Methods of Indivisibles, 38
2.3 Guldin s Objections to Cavalieri s Geometry of Indivisibles, 50
2.4 Guldin s Centrobaryca and Cavalieri s Objections, 56
3. Descartes Geometrie, 65
3.1 Descartes Geometrie, 65
3.2 The Algebraization of Mathematics, 84
4. The Problem of Continuity, 92
4.1 Motion and Genetic Definitions, 94
4.2 The Causal Theories in Arnauld and Bolzano, 100
4.3 Proofs by Contradiction from Kant to the Present, 105
5. Paradoxes of the Infinite, 118
5.1 Indivisibles and Infinitely Small Quantities, 119
5.2 The Infinitely Large, 129
6. Leibniz s Differential Calculus and Its Opponents, 150
6.1 Leibniz s Nova Methodus and L Hopital s Analyse des Infiniment
Petits, 151
6.2 Early Debates with Cliiver and Nieuwentijt, 156
6.3 The Foundational Debate in the Paris Academy of Sciences, 165
Appendix: Giuseppe Biancani s De Mathematicarum Natura, 178
Translated by Gyula Klima
Notes, 213
References, 249
Index, 267
|
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| spelling | Mancosu, Paolo 1960- Verfasser (DE-588)133912035 aut Philosophy of mathematics and mathematical practice in the seventeenth century Paolo Mancosu New York [u.a.] Oxford Univ. Press 1996 275 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geschichte 1600-1700 Geschichte 1600-1700 gnd rswk-swf Filosofie gtt Wiskunde gtt Geschichte Mathematik Philosophie Mathematics Europe Philosophy History 17th century Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Europa Europa (DE-588)4015701-5 gnd rswk-swf Europa (DE-588)4015701-5 g Mathematik (DE-588)4037944-9 s Geschichte 1600-1700 z DE-604 Philosophie (DE-588)4045791-6 s DE-188 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007270990&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mancosu, Paolo 1960- Philosophy of mathematics and mathematical practice in the seventeenth century Filosofie gtt Wiskunde gtt Geschichte Mathematik Philosophie Mathematics Europe Philosophy History 17th century Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Philosophy of mathematics and mathematical practice in the seventeenth century |
| title_auth | Philosophy of mathematics and mathematical practice in the seventeenth century |
| title_exact_search | Philosophy of mathematics and mathematical practice in the seventeenth century |
| title_full | Philosophy of mathematics and mathematical practice in the seventeenth century Paolo Mancosu |
| title_fullStr | Philosophy of mathematics and mathematical practice in the seventeenth century Paolo Mancosu |
| title_full_unstemmed | Philosophy of mathematics and mathematical practice in the seventeenth century Paolo Mancosu |
| title_short | Philosophy of mathematics and mathematical practice in the seventeenth century |
| title_sort | philosophy of mathematics and mathematical practice in the seventeenth century |
| topic | Filosofie gtt Wiskunde gtt Geschichte Mathematik Philosophie Mathematics Europe Philosophy History 17th century Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
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