A mathematical formula should never be "owned" by anybody! Mathematics belong to God.
Mathematics is like draughts in being suitable for the young, not too difficult, amusing, and without peril to the state.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
Nature laughs at the difficulties of integration.
How happy the lot of the mathematician. He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve.
The principle is so perfectly general that no particular application of it is possible.
Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness.
In order to solve this differential equation you look at it until a solution occurs to you.
Black holes result from God dividing the universe by zero.
What is the difference between method and device? A method is a device which you use twice.
Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things.
In a completely rational society, the best of us would aspire to be teachers and the rest of us would have to settle for something less, because passing civilization along from one generation to the next ought to be the highest honor and the highest responsibility anyone could have.
Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
There are many questions which fools can ask that wise men cannot answer.
Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
Mathematical reasoning may be regarded.
It is clear that the chief end of mathematical study must be to make the students think.
Sometimes I've believed as many as six impossible things before breakfast.
There still remain three studies suitable for free man. Arithmetic is one of them.
But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.
With me, everything turns into mathematics.
A mathematician who is not also something of a poet will never be a complete mathematician.
Statistics are the triumph of the quantitative method, and the quantitative method is the victory of sterility and death.
Logic, like whiskey, loses its beneficial effect when taken in too large quantities.
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