Many literary critics seem to think that an hypothesis about obscure and remote questions of history can be refuted by a simple demand for the production of more evidence than in fact exists. The demand is as easy to make as it is impossible to satisfy. But the true test of an hypothesis, if it cannot be shown to con?ict with known truths, is the number of facts that it correlates and explains. Francis M. Cornford  1934, 220. It was in the autumn of 1997 that the research project leading to this publication began. One of us [GH], while a visiting fellow at the Center for Philosophy of Science (University of Pittsburgh), gave a talk entitled, aProportions and Identity: The Aesthetic Aspect of Symmetrya. The presentation focused on a confusion s- rounding the concept of symmetry: it exhibits unity, yet it is often claimed to reveal a form of beauty, namely, harmony, which requires a variety of elements. In the audience was the co-author of this book [BRG] who responded with enthusiasm, seeking to extend the discussion of this issue to historical sources in earlier periods. A preliminary search of the literature persuaded us that the history of symmetry was rich in possibilities for new insights into the making of concepts. John Rocheas brief essay (1987), in which he sketched the broad outlines of the history of this concept, was particularly helpful, and led us to conclude that the subject was worthy of monographic treatment.He focuses on the relation between soul and body and stipulates the regimen and exercise by which their health is to be preserved. ... Proportions [summetriEon ] of a trivial kind we readily perceive and reckon; but the most important and decisive escape our ... 24, below), Plato may mean that ideal proportions can be posited, i.e., ratios of integers for a part of the body to another part, or a part to the whole. ... 2 Cornford  1987, 110a111 (slightly modified); Plato, Timaeus, 87cae.
|Title||:||From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept|
|Author||:||Giora Hon, Bernard R. Goldstein|
|Publisher||:||Springer Science & Business Media - 2008-07-09|