An idea which can be used once is a trick. If it can be used more than once it becomes a method.
Beauty in mathematics is seeing the truth without effort.
Geometry is the science of correct reasoning on incorrect figures.
I am too good for philosophy and not good enough for physics. Mathematics is in between.
If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
It is better to solve one problem five different ways, than to solve five problems one way.
Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
Mathematics consists in proving the most obvious thing in the least obvious way.
Mathematics is not a spectator sport!
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.
The best of ideas is hurt by uncritical acceptance and thrives on critical examination.
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea.
The open secret of real success is to throw your whole personality into your problem.
The principle is so perfectly general that no particular application of it is possible.
There are many questions which fools can ask that wise men cannot answer.
There exist a lot of questions that the fools can ask, and the intelligent cannot answer.
Found 17 occurence(s) in 52,059 quotation(s).
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