Trying to capture the physicists' precise mathematical description of the quantum world with our crude words and mental images is like playing… — George Johnson Copy Share Image
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself. — Andrew Wiles Copy Share Image
Everyone engaged in research must have had the experience of working with feverish and prolonged intensity to write a paper which no… — Noam Chomsky Copy Share Image
I have a name for people who went to the extreme efficient market theory-which is "bonkers". It was an intellectually consistent theory… — Charlie Munger Copy Share Image
[The infinitely small] neither have nor can have theory; it is a dangerous instrument in the hands of beginners [ ... ]… — Francois-Joseph Servois Copy Share Image
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special… — David Hilbert Copy Share Image
Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which… — Ludwig Wittgenstein Copy Share Image
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can… — Eric Bell Copy Share Image
One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are… — Heinrich Hertz Copy Share Image
In a way, composing on the melodic level is an expression of a melodic truth, almost like a geometric truth. If it… — Eyvind Kang Copy Share Image
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the… — Kenneth E. Iverson Copy Share Image
I don't believe you can reduce the world to a mathematical formula. I start with the world, assume it's complicated, and ask… — Noreena Hertz Copy Share Image
Many persons entertain a prejudice against mathematical language, arising out of a confusion between the ideas of a mathematical science and an… — William Stanley Jevons Copy Share Image
For a good notation has a subtlety and suggestiveness which at times make it seem almost like a live teacher. — Bertrand Russell Copy Share Image
How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is… — David van Dantzig Copy Share Image
There are lots of different ways that algorithms can go wrong, and what we have now is a system in which we… — Cathy O'Neil Copy Share Image
My Third-World roots remind me that the vast majority of our fellow human beings live hungry, sick, and uneducated, and that most… — Mario Bunge Copy Share Image
Bach was so mathematical and I liked this idea that you could have one instrument going, 'One, two, three, four', and then… — Paul McCartney Copy Share Image
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its… — Richard Courant Copy Share Image
The good Christian should beware the mathematician and all those who make empty prophecies. The danger already exists that the mathematicians have… — Saint Augustine Copy Share Image
Sir, I have found you an argument; but I am not obliged to find you an understanding. — Samuel Johnson Copy Share Image
What if angry vectors veer Round your sleeping head, and form. There's never need to fear Violence of the poor world's abstract… — Robert Penn Warren Copy Share Image
The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this… — James R Newman Copy Share Image
In accordance with the foregoing investigations on mathematical principles, let bronze vessels be made, proportionate to the size of the theatre, and… — Marcus Vitruvius Pollio Copy Share Image