Mathematics is the art of giving the same name to different things.
From Henri Poincare
If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.
It is through science that we prove, but through intuition that we discover.
In the old days when people invented a new function they had something useful in mind.
The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
Thought is only a flash between two long nights, but this flash is everything.
Mathematicians do not study objects, but relations between objects.
It has adopted the geometry most advantageous to the species or, in other words, the most convenient.
Mathematicians are born, not made.
It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details.
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