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Epiphany Quotes

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Epiphany Quotes

“A friend of mine who was a founding father of the Church of Satan, who later I compared notes with, said when he was a kid, he too managed to get into Sallys Nude Ranch, and in the corral he saw his Sunday school teacher!!! That was a real epiphany for him. From that moment on he was a Satanist.”

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Author:Anton Szandor LaVey
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“Whereas life separates meaning from emotion, art unites them. Story is an instrument by which you create such epiphanies at will, the phenomenon known as aesthetic emotion...Life on its own, without art to shape it, leaves you in confusion and chaos, but aesthetic emotion harmonizes what you know with what you feel to give you a heightened awareness and a sureness of your place in reality.”

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Author:Robert McKee
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“The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.”

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Author:Georg Cantor
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“What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.”

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Author:Georg Cantor
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“Well, part of it is a longstanding belief - it's been in our education establishment at least since the 1930s - that somehow children should be allowed to discover knowledge for themselves, that they should construct their own knowledge. This has surfaced most recently in connection with mathematics instruction, where the idea is that they need to discover how to add for themselves. Rather than being taught how to add, they should construct this knowledge on their own.”

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Author:Lynne Cheney
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“The rainbow is such a remarkable phenomenon of nature, and its cause has been so meticulously sought after by inquiring minds throughout the ages, that I could not choose a more appropriate subject for demonstrating how, with the method I am using, we can arrive at knowledge not possessed at all by those whose writings are available to us.”

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Author:Rene Descartes
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“It has been said that the three great develpments in twentieth century science are relativity, quantum mechanics, and chaos. That strikes me the same as saying that the three great developments in twentith century engineering are the airplane, the computer, and the pop-top aluminum can. Chaos and fractals are not even twentieth century ideas: chaos was first observed by Poincare and fractals were familiar to Cantor a century ago, although neither man had the computer at his disposal to show the rest of the world the beauty he was seeing.”

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Author:Robert L. Devaney
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“It was not until some weeks later that I realized there is no need to restrict oneself to 2 by 2 matrices. One could go on to 4 by 4 matrices, and the problem is then easily soluable. In retrospect, it seems strange that one can be so much held up over such an elementary point. The resulting wave equation for the electron turned out to be very successful. It led to correct values for the spin and the magnetic moment. This was quite unexpected. The work all followed from a study of pretty mathematics, without any thought being given to these physical properties of the electron.”

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Author:Paul Dirac
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“In the "commentatio" (note presented to the Russian Academy) in which his theorem on polyhedra (on the number of faces, edges and vertices) was first published Euler gives no proof. In place of a proof, he offers an inductive argument: he verifies the relation in a variety of special cases. There is little doubt that he also discovered the theorem, as many of his other results, inductively.”

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Author:George Polya
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“Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.”

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Author:Abraham Robinson
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“Let's face it: Serious self-scrutiny has not been one of our notable characteristics. We are far more aware of what we want to change in others than we are of how we need to change. Salvation for our educational ills is only secondarily "out there." Primarily it will have to come from within an educational community willing to say that we have met the enemy and it is us.”

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Author:Seymour Sarason
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“The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its final solution nor even whether a final objective answer can be expected at all. "Mathematizing" may well be a creative activity of man, like language or music, of primary originality, whose historical decisions defy complete objective rationalization.”

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Book:Levels of Infinity: Selected Writings on Mathematics and Philosophy
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“I had a little epiphany when I was a writer at 'Chicago' magazine. I sat down to dinner at the Ritz-Carlton. Somebody poured a white dessert wine with chocolate cake. It was a wine I would never have expected to make sense. The idea of any wine tasting fabulous with chocolate cake was fascinating to me.”

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Author:Ted Allen
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