Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning.
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"The greatest obstacle to discovery is not ignorance, but the illusion of knowledge."
"I have had a dream indicating rather clearly that I am on the way to being hetero, though I don't accept it with much enthusiasm either awake or in the dreams."
"The machine should be able to learn for itself."
"The computer is a tool, and like any tool, it can be used for good or for evil."
"The idea behind digital computers may be explained by saying that these machines are intended to carry out any operations which could be done by a human computer."
From 'Systems of Logic Based on Ordinals', published in Proceedings of the London Mathematical Society.
Date: 1938-1939
PhilosophicalFound in 1 providers: gemini
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