Symmetry And Group

Download From Summetria to Symmetry: The Making of a Revolutionary by Giora Hon PDF

By Giora Hon

The concept that of symmetry is inherent to fashionable technological know-how, and its evolution has a posh historical past that richly exemplifies the dynamics of clinical swap. This examine relies on basic resources, offered in context: the authors study heavily the trajectory of the concept that within the mathematical and clinical disciplines in addition to its trajectory in paintings and structure. The valuable objective is to illustrate that, regardless of the range of usages in lots of assorted domain names, there's a conceptual solidarity underlying the invocation of symmetry within the interval from antiquity to the 1790s that's detailed from the medical usages of this time period that first emerged in France on the finish of the 18th century. the major determine in revolutionizing the concept that of symmetry is the mathematician, Adrien-Marie Legendre. His achievements in good geometry (1794) are contrasted with the perspectives of the thinker, Immanuel Kant, at the directionality of house (1768).

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

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100 Our response, however, is, No. Answers have been given to different questions in a certain order and at various times in history. ” But what is thought to be a permanent problem P is really a number of transitory problems p1 p2 p3 . . whose individual peculiarities are blurred by the historical myopia of the person who lumps them together under the one name P. ” We have to begin, as poor devils of historians begin, from the other end. We have to study documents and interpret them. We have to say “here is a passage of Leibniz; what is it about?

The realization that symmetry may be applied as a key concept for attaining insight into scientific practice is at the core of the philosophical argument which considers symmetry a methodological concept. To address this philosophical aspect, we refer to the analysis of Bas C. ”47 Van Fraassen classifies symmetry philosophically, rather than by the domain of its application. ” This leads him to recast the problem in group theoretic terms. He writes, Alternatively put: why is group theory so effective in describing the physical world?

4 Historiographical Considerations 29 relation. Historical influences depend on acknowledged dependence (or a plausibly reconstructed dependence)—but if thinker A did not see any relation between his concept a and thinker B’s concept b, and if the relation of a and b depends on us, the modern onlookers, then we are no longer observers but essential participants in this historical development, introducing elements foreign to the process under discussion. In this way the “historian” intrudes his or her modern conception into the process, but attains no understanding of the relation of any thinker to his or her predecessors.

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