“The mind uses its faculty for creativity only when experience forces it to do so.”
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One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law.
It is through science that we prove, but through intuition that we discover.
Just as houses are made of stones, so is science made of facts.
