Science is simply common sense at its best.
What is the difference between method and device? A method is a device which you use twice.
Whoever undertakes to set himself up as a judge of Truth and Knowledge is shipwrecked by the laughter of the gods.
The principle is so perfectly general that no particular application of it is possible.
"Can you do Addition?" the White Queen said. "What's one and one and one and one and one and one and one and one and one and one?" "I don't know," said Alice. "I lost count." "She can't do Addition," the Red Queen interrupted.
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.
Anyone who cannot cope with mathematics is not fully human. At best, he is a tolerable subhuman who has learned to wear his shoes, bathe, and not make messes in the house.
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
Mathematics is not a deductive science - that's a cliché. 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.
But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius.
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.
It should seem that it is easier to square the circle than to get round a mathematician.
Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
Mathematics seems to endow one with something like a new sense.
Any teacher that can be replaced by a computer should be replaced by a computer.
I am too good for philosophy and not good enough for physics. Mathematics is in between.
Mathematics, rightly viewed, possesses not only truth, but supreme beauty-a beauty cold and austere ... yet sublimely pure and capable of stern perfection such as only the greatest art can show.
What science can there be more noble, more excellent, more useful for men, more admirably high and demonstrative, than this of mathematics?
The whole of science is nothing more than a refinement of everyday thinking.
If a man's wit be wandering, let him study the mathematics; for in demonstrations, if his wit be called away never so little, he must begin again.
The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.
Mathematics rightly viewed possesses not only truth but supreme beauty.
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