The Beginnings of Greek Mathematics

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Springer Science & Business Media, Nov 30, 1978 - History - 358 pages
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When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the 'Elements'. I hoped that this appendix, although different in some ways from the rest of the book, would serve to illustrate the kind of research which needs to be undertaken, if we are to acquire a new understanding of the historical development of Greek mathematics. It should perhaps be mentioned that this book is not intended to be an introduction to Greek mathematics for the general reader; its aim is to bring the problems associated with the early history of deductive science to the attention of classical scholars, and historians and philos ophers of science. I should like to conclude by thanking my translator, Mr. A. M. Ungar, who worked hard to produce something more than a mechanical translation. Much of his work was carried out during the year which I spent at Stanford as a fellow of the Center for Advanced Study in the Behavioral Sciences. This enabled me to supervise the work of transla tion as it progressed. I am happy to express my gratitude to the Center for providing me with this opportunity. Arpad Szabo NOTE ON REFERENCES The following books are frequently referred to in the notes. Unless otherwise stated, the editions are those given below. Burkert, W. Weisheit und Wissensclzaft, Studien zu Pythagoras, Philo laos und Platon, Nuremberg 1962.
 

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Contents

I
11
II
12
III
13
IV
15
V
33
VI
36
VII
40
VIII
44
XLII
181
XLIII
185
XLIV
199
XLV
216
XLVI
220
XLVII
226
XLVIII
232
XLIX
236

IX
46
X
48
XI
55
XII
61
XIII
66
XIV
71
XV
75
XVI
85
XVII
91
XVIII
97
XIX
99
XX
103
XXI
108
XXII
114
XXIV
119
XXV
124
XXVI
128
XXVII
134
XXVIII
137
XXIX
140
XXX
144
XXXI
145
XXXII
148
XXXIII
151
XXXIV
154
XXXV
157
XXXVI
161
XXXVII
167
XXXVIII
168
XXXIX
170
XL
174
XLI
177
L
239
LI
243
LII
244
LIII
248
LIV
250
LV
253
LVI
257
LVII
261
LVIII
265
LIX
268
LX
271
LXI
273
LXII
276
LXIII
280
LXIV
282
LXV
287
LXVI
291
LXVII
299
LXVIII
302
LXIX
304
LXX
307
LXXI
312
LXXII
317
LXXIII
330
LXXIV
332
LXXV
334
LXXVI
335
LXXVII
347
LXXVIII
352
LXXIX
355
LXXX
357
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