The Ethics of Geometry: Genealogy of Modernity

Title ......Page 3
Copyright ......Page 4
Contents ......Page 5
Preface ......Page 7
Acknowledgments ......Page 15
I Projection, Construction, and the Idea of Modernity ......Page 17
II \"Master of Nature, So to Speak\": Consequences of Construction in Vico and Kant ......Page 23
III Two Zoroasters: A Sense of Endings ......Page 32
I Preamble ......Page 41
i Ratios, Multitudes, and Magnitudes ......Page 45
ii Homogeneity ......Page 49
iii Sameness of Ratios ......Page 58
iv Conclusions ......Page 64
III The Powers and Idioms of Construction in Greek Geometry ......Page 65
IV The Establishment of the Kantian Orthodoxy ......Page 66
V Genesis and Knowing ......Page 77
VI The Perfect Imperative ......Page 81
VII The Evidentiary Force of Constructions in Greek Mathematics ......Page 83
i Instrumental Constructions ......Page 86
ii Construction as Operation (Sensory and Imaginative) ......Page 92
iii Noesis and \"Mental\" Construction ......Page 103
i Introduction ......Page 107
ii Einai and Existence in Aristotle ......Page 109
iii Hyparxis and Deixis in Stoicism ......Page 114
iv Essence and \"Existence\" in the Medieval Arabic Tradition ......Page 119
v Kant\'s Relation to Premodern Understandings of Existence ......Page 124
IX The Enigma of the Postulates ......Page 126
X Conclusions ......Page 137
I Preface ......Page 140
II The Art of Origins: Descartes\' Fabulous History ......Page 142
i Prelude ......Page 157
ii Reading the Geometry ......Page 158
iii The Structure of the Geometry ......Page 160
iv The Style of the Geometry ......Page 164
v Liberty and Constraints: Why Can Problems Be Solved? ......Page 177
vi The Roots of the Geometry: Unity, Order, and Measure in the Rules ......Page 190
i Reading Notes ......Page 203
ii Pur a Mathesis and Descartes\' Geometry ......Page 204
iii The Principal Characteristics of Cartesian Geometry Recapitulation and Extensions ......Page 207
iv Essence and Existence in Cartesian Pura Mathesis ......Page 213
v Morals Par Provision ......Page 216
Notes ......Page 222
Bibliography ......Page 249
Index ......Page 267