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Category Archives: Donald Coxeter
Questions on the History of Mathematics
Arthur MillerEinstein and Schrödinger never fully accepted the highly abstract nature of Heisenberg’s quantum mechanics, says Miller. They agreed with Galileo’s assertion that “the book of nature is written in mathematics”, but they also realized the power of using visual … Continue reading
Posted in Ashmolean Museum, Dimension, Donald Coxeter, E8, Mathematics
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Model Building in Life
“…underwriting the form languages of ever more domains of mathematics is a set of deep patterns which not only offer access to a kind of ideality that Plato claimed to see the universe as created with in the Timaeus; more … Continue reading
Donald Coxeter
Photo by Graham Challifour. Reproduced from Critchlow, 1979, p. 132. “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 … Continue reading
Posted in Donald Coxeter, Euclid, Non Euclidean
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Raindrops
I dunno. After some thinking, how is it one can think that such an abstraction could descend into the modern mind, and think it reveals the idea of nature in expression? It’s just an artistic interpretation then, nothing more? The … Continue reading
Posted in Donald Coxeter
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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 … Continue reading
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, … Continue reading
E8 and the Blackhole
“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.”Donald (H. S. M.) … Continue reading
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. … Continue reading
Posted in Art, Coxeter, Dirac, Donald Coxeter, Earth, Einstein, General Relativity, Geometrics, geometries, M Theory, Mathematics, Memories, Polytopes, Sun
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