Quotes 1 till 20 of 28.
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...
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A free-enterprise economy depends only on markets, and according to the most advanced mathematical macroeconomic theory, markets depend only on moods: specifically, the mood of the men in the pinstripes, also known as the Boys on the Street. When the Boys are in a good mood, the market thrives; when they get scared or sullen, it is time for each one of us to look into the retail apple business.
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A game of great charm in the adoption of mathematical measurements to the timing of human movements, the exactitudes and adjustments of physical ability to hazardous chance. The speed of the legs, the dexterity of the body, the grace of the swing, the elusiveness of the slide - these are the features that make Americans everywhere forget the last syllable of a man's last name or the pigmentation of his skin.
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A mathematical proof is beautiful, but when you're finished, it's really only about one thing. A story can be about many things.
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All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
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As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
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As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
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Homeric mind is ingenuity, practical intelligence. There is no Rodin-like deep thinking, no mathematical or philosophical speculation. Odysseus thinks with his hands.
Sexual Personae: Art and Decadence from Nefertiti to Emily Dickinson (1990) -
I tried reading Hilbert. Only his papers published in mathematical periodicals were available at the time. Anybody who has tried those knows they are very hard reading.
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If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.
The World of Mathematics (1956) -
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers.
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Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
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Memory, joy, are intuitions; and even mathematical propositions become intuitions, for education produces natural intuitions, and natural intuitions are erased by education.
Pensees (1669) -
Much of what I make is geometric, and has a kind of almost mathematical logic to the form.
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Never had any mathematical conversations with anybody, because there was nobody else in my field.
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One can not really argue with a mathematical theorem.
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The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.
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The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
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The formulation of a problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.
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