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13th Sphere of the GreenGrocer
I suppose you are two fathoms deep in mathematics,and if you are, then God help you, for so am I,only with this difference,I stick fast in the mud at the bottom and there I shall remain.–Charles Darwin How nice that one would think that, “like Aristotle” Darwin held to what “nature holds around us,” that…
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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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Donald Coxeter: The Man Who Saved Geometry
“I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered.”Harold Scott Macdonald (H. S. M.) Coxeter Some would stop those from continuing on, and sharing the world behind…
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Art and Science
This is going to be quite the blog entry because as little a response might have been from Clifford’s links to artistic imagery and it’s relation to science. I definitely have more to say. So being short of time, the entries within this blog posting will seem disjointed, but believe me it will show a…
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The Sound of the Landscape
Ashmolean Museum, Oxford, UK As you know my name is Plato (The School of Athens by Raphael:)I have lived on for many years now, in the ideas that are presented in the ideas of R Buckminister Fuller, and with the helping hands of dyes, have demonstrated, the basis of these sounds in balloon configuration worth…
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Tesseract
In geometry, the tesseract, or hypercube, is a regular, convex polychoron with eight cubical cells. It can be thought of as a 4-dimensional analogue of the cube. Roughly speaking the tesseract is to the cube as the cube is to the square. Generalizations of the cube to dimensions greater than three are called hypercubes or…
