Mathematics is not a deductive science - that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
Before you, Bella, my life was like a moonless night. Very dark, but there were stars, points of light and reason..And then you shot across my sky like a meteor. Suddenly everything was on fire; there was brilliancy, there was beauty. When you were gone,...
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Stephenie Meyer
The heart has its reasons which reason knows not.
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Blaise Pascal
One ought to hold on to one's heart; for if one lets it go, one soon loses control of the head too.
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Friedrich Nietzsche
Lovers and madmen have such seething brains, Such shaping fantasies, that apprehend More than cool reason ever comprehends. The lunatic, the lover and the poet Are of imagination all compact: One sees more devils than vast hell can hold, That is, the madman: the lover,...
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William Shakespeare
Cassia.I know which life is my real one now, no matter what happens. It’s the one with you. For some reason, knowing that even one person knows my story makes things different. Maybe it’s like the poem says. Maybe this is my way of not...
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Ally Condie
More Quotes By Paul R. Halmos
The spectacular thing about Johnny [von Neumann] was not his power as a mathematician, which was great, or his insight and his clarity, but his rapidity; he was very, very fast. And like the modern computer, which no longer bothers to retrieve the logarithm of...
[Mathematics] is security. Certainty. Truth. Beauty. <span style="margin:15px; display:block"></span>Insight. Structure. Architecture. <span style="margin:15px; display:block"></span>I see mathematics, the part of human knowledge that I call mathematics, as one thing–one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all...
Mathematics is not a deductive science - that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
