Mathematicians do not study objects, but relations between objects.
Quote by Henri Poincare
Henri Poincare Quotes
Mathematicians are born, not made.
Need we add that mathematicians themselves are not infallible?
The mind uses its faculty for creativity only when experience forces it to do so.
Thought is only a flash between two long nights, but this flash is everything
One would have to have completely forgotten the history of science so as to not...
The mathematical facts worthy of being studied are those which, by their analogy with other...
If we knew exactly the laws of nature and the situation of the universe at...
If nature were not beautiful, it would not be worth knowing, and if nature were...
Point set topology is a disease from which the human race will soon recover.
Thus, they are free to replace some objects by others so long as the relations...
Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making...
Facts do not speak.
How is an error possible in mathematics?
It is through science that we prove, but through intuition that we discover.
To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with...
Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations...
It is the harmony of the diverse parts, their symmetry, their happy balance; in a...
No more than these machines need the mathematician know what he does.
Mathematical discoveries, small or great are never born of spontaneous generation.
To invent is to discern, to choose.