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From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept


From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept


Archimedes, Band 20

von: Giora Hon, Bernard R. Goldstein

223,63 €

Verlag: Springer
Format: PDF
Veröffentl.: 09.07.2008
ISBN/EAN: 9781402084485
Sprache: englisch
Anzahl Seiten: 336

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Beschreibungen

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 [1914] 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, “Proportions and Identity: The Aesthetic Aspect of Symmetry”. 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 Roche’s 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.
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 [1914] 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, “Proportions and Identity: The Aesthetic Aspect of Symmetry”. 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 Roche’s 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.
1. Introduction,
2. The Mathematical Path,
3. The Aesthetic Path,
4. New Aesthetic Sensibilities in Italian and French Architecture,
5. The Ancient Concept of Symmetry in Scientific Contexts in Early Modern Times and Its Association with Harmony,
6. The Treatment of Symmetry in Natural History (1738–1815),
7. Leonhard Euler (1707–1783) and Immanuel Kant (1724–1804): 'revolutions' that did not happen,
8. Legendre’s Revolutionary Definition of Symmetry as a Scientific Concept (1794),
9. New Applications of Symmetry in Mathematics and Physics: 1788–1815,
Coda: Legendre’s Choice of Symmetry—What’s in a Word?

References

Symmetry is a key concept in modern science
Its history has been distorted for various reasons
A critical account of the history of the concept sheds light on the dynamics of scientific change and the role of concepts in theory formation
The transition from the aesthetic concept of symmetry to its scientific usage is analyzed for the first time
Legendre’s pivotal role has not been noted at all in the secondary literature

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