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Nature is the Architect
…..and we are it’s builders? So beyond indeed, is the static realization of the structure of things. This is a more definable recognition of something that is very fluid and expressive. It is by our own humanistic natures that we like to compartmentalize? “There comes a time when the mind takes a higher plane of…
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Who said it?
At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small and general relativity with the very large, many physicists feel that, for all practical purposes,…
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Theoretical Excellence
Although Aristotle in general had a more empirical and experimental attitude than Plato, modern science did not come into its own until Plato’s Pythagorean confidence in the mathematical nature of the world returned with Kepler, Galileo, and Newton. For instance, Aristotle, relying on a theory of opposites that is now only of historical interest, rejected…
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Solidification of Geometrical Presence
While I might infer the “attributes of Coxeter here,” it is with the understanding such a dimensional perspective which has it’s counterpart in the result of what manifests as matter creations. Yet we have taken our views down to the “powers of ten” to think of what could manifest even before we see the result…
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IN Search of Mandelstam’s Holy Grail
There are two posts that reflect the purpose of this post today. One is Clifford’s linked through Lee Smolin’s comment and the other, at Backreaction. Good Physics is Conflict A lot of you may never understand the significance of the mystery that follows the thinking of the Holy Grail. Yet is it more the knowledge…
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Visual Abstraction to Equations
Sylvester’s models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an illuminated glass cabinet in the Institute Common Room. Some of you might have noticed the…
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Beyond the Dance of the Sun
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Sylvester’s Surfaces
Figure 2. Clebsch’s Diagonal Surface: Wonderful. We are told that “mathematics is that study which knows nothing of observation…” I think no statement could have been more opposite to the undoubted facts of the case; that mathematical analysis is constantly invoking the aid of new principles, new ideas and new methods, not capable of being…
