The ethics of geometry: a genealogy of modernity
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Routledge
1989
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 233 - 250 |
| Physical Description: | XIV, 255 S. graph. Darst. |
| ISBN: | 0415900530 0415901413 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface ix
Acknowledgments xvii
1 CONSTRUCTION AS THE MARK OF THE MODERN 1 24
I Projection, Construction, and the Idea of Modernity 1
II Master of Nature, So to Speak : Consequences of
Construction in Vico and Kant 7
III Two Zoroasters: A Sense of Endings 16
2 THE EUCLIDEAN CONTEXT: GEOMETRIA MORE ETH1C0
DEMONSTRATA 25 123
I Preamble 25
II Episodes of Prudence and Imprudence in the
Elements 29
i Ratios, Multitudes, and Magnitudes 29
ii Homogeneity 33
iii Sameness of Ratios 42
iv Conclusions 48
III The Powers and Idioms of Construction in Greek
Geometry 49
IV The Establishment of the Kantian Orthodoxy 50
V Genesis and Knowing 61
VI The Perfect Imperative 65
VII The Evidentiary Force of Constructions in Greek
Mathematics 67
i Instrumental Constructions 70
ii Construction as Operation (Sensory and
Imaginative) 76
iii Noesis and Mental Construction 87
VIII Constructibility and the Existence of Geometrical
Beings 91
i Introduction 91
ii Einai and Existence in Aristotle 93
iii Hyparxis and Deixis in Stoicism 98
iv Essence and Existence in the Medieval Arabic
Tradition 103
vi Contents
v Kant s Relation to Premodern Understandings of
Existence 108
IX The Enigma of the Postulates 110
X Conclusions 121
3 DESCARTES REVOLUTIONARY PATERNITY 124 205
I Preface 124
II The Art of Origins: Descartes Fabulous History 126
III Mathesis and Mathematics in Descartes Geometry 141
i Prelude 141
ii Reading the Geometry 142
iii The Structure of the Geometry 144
iv The Style of the Geometry 148
v Liberty and Constraints: Why Can Problems Be
Solved? 161
vi The Roots of the Geometry: Unity, Order, and
Measure in the Rules 174
IV Objectum Purae Matheseos: Mathematical Construction and
the Passage from Essence to Existence in Descartes
Meditations 187
i Reading Notes 187
ii Pura Mathesis and Descartes Geometry 188
iii The Principal Characteristics of Cartesian Geometry:
Recapitulation and Extensions 191
iv Essence and Existence in Cartesian Pura
Mathesis 197
v Morals Par Provision 200
Notes 206 232
Bibliography 233 250
Index 251
|
| any_adam_object | 1 |
| author | Lachterman, David R. 1944-1991 |
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| dewey-full | 516/.001 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.001 |
| dewey-search | 516/.001 |
| dewey-sort | 3516 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| format | Book |
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| id | DE-604.BV002492941 |
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| indexdate | 2024-07-09T15:45:51Z |
| institution | BVB |
| isbn | 0415900530 0415901413 |
| language | English |
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| physical | XIV, 255 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Routledge |
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| spelling | Lachterman, David R. 1944-1991 Verfasser (DE-588)119234289 aut The ethics of geometry a genealogy of modernity David Rapport Lachterman New York [u.a.] Routledge 1989 XIV, 255 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 233 - 250 Géométrie - Philosophie Géométrie ram Philosophie Geometry Philosophy Geometrie (DE-588)4020236-7 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Geometrie (DE-588)4020236-7 s Philosophie (DE-588)4045791-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001606106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lachterman, David R. 1944-1991 The ethics of geometry a genealogy of modernity Géométrie - Philosophie Géométrie ram Philosophie Geometry Philosophy Geometrie (DE-588)4020236-7 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4045791-6 |
| title | The ethics of geometry a genealogy of modernity |
| title_auth | The ethics of geometry a genealogy of modernity |
| title_exact_search | The ethics of geometry a genealogy of modernity |
| title_full | The ethics of geometry a genealogy of modernity David Rapport Lachterman |
| title_fullStr | The ethics of geometry a genealogy of modernity David Rapport Lachterman |
| title_full_unstemmed | The ethics of geometry a genealogy of modernity David Rapport Lachterman |
| title_short | The ethics of geometry |
| title_sort | the ethics of geometry a genealogy of modernity |
| title_sub | a genealogy of modernity |
| topic | Géométrie - Philosophie Géométrie ram Philosophie Geometry Philosophy Geometrie (DE-588)4020236-7 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Géométrie - Philosophie Géométrie Philosophie Geometry Philosophy Geometrie |
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