"How is an error possible in mathematics?" — Henri Poincare

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How is an error possible in mathematics?

- Henri Poincare

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Henri Poincare

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What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?

To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with the necessity of reflection.

The mind uses its faculty for creativity only when experience forces it to do so.

Need we add that mathematicians themselves are not infallible?

Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.

It has adopted the geometry most advantageous to the species or, in other words, the most convenient.

Science is facts.

A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.

Mathematicians are born, not made.

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How is an error possible in mathematics?