Mathematics is not a science from our point of view, in the sense that it is not a natural science. The test of its validity is not experiment. We must, incidentally, make it clear from the beginning that if a thing is not a science, it is not necessarily bad. For example, love is not a science. So, if something is said not to be a science, it does not mean that there is something wrong with it; it just means that it is not a science.
-Richard P. Feynman
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