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Thou shalt likewise know that according to Law, the nature of this universe is in all things a like.
Pythagoras
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Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced.
Archimedes
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Sneezing absorbs all the functions of the soul just as much as the [sexual] act, but we do not draw from it the same conclusions against the greatness of man, because it is involuntary; although we bring it about, we do so involuntarily. It is not for the sake of the thing in itself but for another end, and is therefore not a sign of man's weakness, or his subjection to this act.
Blaise Pascal
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SALVIATI: Now, since I wish to convince you by demonstrative reasoning rather than to persuade you by mere probabilities, I shall suppose that you are familiar with present-day mechanics...
Galileo Galilei
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And as far as hypotheses go, let no one expect anything in the way of certainty from astronomy, since astronomy can offer us nothing certain, lest, if anyone take as true that which has been constructed for another use, he go away from this discipline a bigger fool than when he came to it.
Nicolaus Copernicus
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In the Theory of Numbers it happens rather frequently that, by some unexpected luck, the most elegant new truths spring up by induction.
Carl Friedrich Gauss
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From the same principles, I now demonstrate the frame of the System of the World.
Isaac Newton
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Ignorance is the most delightful science in the world because it is acquired without labor or pains and keeps the mind from melancholy.
Giordano Bruno
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It is not so much whether a theorem is useful that matters, but how elegant it is.
Stanislaw Ulam
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My method to overcome a difficulty is to go round it.
George Pólya
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If we have a certain class of objects and a certain class of relations and if the only questions which we investigate are whether ordered groups of these objects do or do not satisfy the relations, the results of the investigations are called mathematics.
Maxime Bôcher
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Virtually every discipline and endeavor is presently under a naturalistic pall.
William A. Dembski
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Most convincing to me of the spiritual relations between mathematics and music, is my own very personal experience. Composing in an amateurish way, I get exactly the same elevation from a prelude that has come to me at the piano, as I do from a new idea that has come to me in mathematics.
Marston Morse
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An advantage could consist not only in a single important advantage but also in a multitude of insignificant advantages.
Emanuel Lasker
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Knot theory for a long time was a little backwater of topology.
Joan Birman
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Yes, but when I discovered it, it stayed discovered.
Lawrence Shepp
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Mathematics is the Queen of Science but she isn't very Pure; she keeps having babies by handsome young upstarts and various frog princes.
Donald Kingsbury
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Time figures as the mortar which binds the bricks of matter together.
James Jeans
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One cannot require that everything shall be defined, any more than one can require that a chemist shall decompose every substance.
Gottlob Frege
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The highest reach of human science is the scientific recognition of human ignorance...
William Rowan Hamilton
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Number theorists are like lotus-eaters — having once tasted of this food they can never give it up.
Leopold Kronecker
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Whether any other Mathematician will appear, possessing sufficient leisure, patience, and facility of computation, to calculate the value of [pi] to a still greater extent, remains to be seen: all that the Author can say is, he takes leave of the subject for the present...
William Shanks
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It turns out that the Romans were champs in making peace. Their motto was that if you want to make peace, you need to prepare for war. They knew game theory.
Robert Aumann
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To have a good memory the first thing you have to do is to trust your memory.
Paul Sophus Epstein
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Seismology has lifted our notions about the interior of our planet from the realm of wild speculation to the stage of scientific measurement and well-reasoned inferences.
Keith Edward Bullen
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I am as frustrated with society as a pyromaniac in a petrified forest.
A. Whitney Brown
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