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Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means....[A] machine might be imagined where the assumptions were put in at one end, while the theorems came out at the other, like the legendary Chicago machine where the pigs go in alive and come out transformed into hams and sausages. No more than these machines need the mathematician know what he does.

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    Quiz

    Are you a quotes master?

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    Who said:"I have not begun to fight yet!"
    A John Paul Jones
    B Alexander the Great
    C George III of England
    D George Washington