"I am often surprised by the cleverness, and now and again by the stupidity, of my dog; and I have similar experiences with mankind."

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Neither you nor I nor anybody else knows what makes a mathematician tick. It is not a question of cleverness. I know many mathematicians who are far abler than I am, but they have not been so lucky. An illustration may be given by considering two miners. One may be an expert geologist, but he does not find the golden nuggets that the ignorant miner does.

— Louis J. Mordell