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.

Computer science, codebreaking

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From 'Systems of Logic Based on Ordinals', published in Proceedings of the London Mathematical Society.

Date: 1938-1939

Philosophical

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