《The Ethics of Geometry》电子书下载

The Ethics of Geometrytxt，chm，pdf，epub，mobi下载
作者: David Lachterman
出版社: Routledge
副标题: A Genealogy of Modernity
出版年: 1989-07-26
页数: 255
定价: GBP 10.99
装帧: Paperback
ISBN: 9780415901413

内容简介 · · · · · ·

这部著作是对现代思想之根源的揭示。标题中的“Ethics”一词并非指道德意义上的伦理，而是要按照亚里士多德的ta ethe的意义来理解，ta ethe指的是人在世界中行动的特定习惯，因此，所谓“几何学的伦理”指的就是传授和学习几何学的习惯方式和风格。本书探究了欧几里得《原本》与笛卡尔《几何》在“做几何的习惯方式”上的根本差异，打破了传统数学史把古今一切几何作图都视为“构造”的神话，清楚地揭示出“构造”的观念与古典思想格格不入，作为一项筹划的“构造”是现代性的缔造者们的新发明，它在笛卡尔几何学中起源，在康德的三大批判中瓜熟蒂落，成为从康德到尼采乃至后现代主义的整个现代思想的关键特征。本书原计划有一部续作，题为《构造的主权》（The Sovereignty of Construction），旨在考察笛卡尔几何学的遗产在霍布斯、莱布尼兹和康德手中的进一步...

作者简介 · · · · · ·

David Rapport Lachterman (1944-1991), 宾夕法尼亚州立大学哲学教授，生于亚拉巴马州的伯明翰，在圣约翰学院接受基础教育，从Eva Brann和Jacob Klein等杰出教师那里学到了“从事物开端着手”的思想方式，继而在哈佛和牛津深造，最终在宾州州立大学获得博士学位。Lachterman极为博学，广泛阅读希伯来文、古希腊文和现代希腊文、拉丁文、阿拉伯文、法文、德文、意大利文和西班牙文著作，他的写作和演讲可以称得上遍及哲学探究的一切领域：从哲学在《奥德赛》中的起源、亚里士多德的发展、阿里斯托芬喜剧的公民意义，到迈蒙尼德对Torah的诠释、斯宾诺莎的物理学、笛卡尔的数学、孔多塞的人类学、康德的形而上学、席勒的美学、黑格尔的逻辑、尼采的修辞学、当代犹太哲学与文学、后现代主义以及文学理论等等。1989年出版的《几何学的伦理...

目录 · · · · · ·

Preface................................... ix
Acknowledgments..................... xvii
Chapter 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
· · · · · · ()
Preface................................... ix
Acknowledgments..................... xvii
Chapter 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
Chapter 2. THE EUCLIDEAN CONTEXT :
GEOMETRIA MORE ETHICO 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
v. Kant's Relation to Premodern
Understandings of Existence .................................... 108
IX. The Enigma of the Postulates ..................................................... 110
X. Conclusions ............................................................................... 121
Chapter 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
· · · · · · ()

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