The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History

Capa
Cambridge University Press, 18 de set de 2003 - 352 páginas
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: first as a description of the practices of Greek mathematics; second as a theory of the emergence of the deductive method; and third as a case-study for a general view on the history of science.
 

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Conteúdo

The lettered d1agram
12
The pragmatics of letters
68
The mathematical lexicon
89
Formulae
127
The shaping of necessity
168
The shaping of generality
240
The historical setting
271
The main Greek mathematicians cited in the book
313
Bibliography
316
Index
323
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Página 11 - If a straight line be cut into equal and unequal segments, the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section is equal to the square on the half.

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