Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
From Henri Poincare
To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with the necessity of reflection.
Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
Need we add that mathematicians themselves are not infallible?
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment.
It is far better to foresee even without certainty than not to foresee at all.
Hypotheses are what we lack the least.
The mind uses its faculty for creativity only when experience forces it to do so.
Mathematical discoveries, small or great are never born of spontaneous generation.
Geometry is not true, it is advantageous.
4 perspectives
3 perspectives
1 perspectives