What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
More Quotes from Henri Poincare:
Geometry is not true, it is advantageous.Henri Poincare
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.
Henri Poincare
Mathematical discoveries, small or great are never born of spontaneous generation.
Henri Poincare
It has adopted the geometry most advantageous to the species or, in other words, the most convenient.
Henri Poincare
To invent is to discern, to choose.
Henri Poincare
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means . . . .
Henri Poincare
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