Alan Turing Quotes About Mathematics

Quotes about: Mathematics

• These disturbing phenomena [Extra Sensory Perception] seem to deny all our scientific ideas. How we should like to discredit them! Unfortunately the statistical evidence, at least for telepathy, is overwhelming.

  Alan Turing

  Science, Ideas, Perception

• Mathematical reasoning may be regarded.

  Alan Turing

  May, Mathematics, Mathematical

  Alan Mathison Turing, B. J. Copeland (2004). “The Essential Turing”, p.192, Oxford University Press

• 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. The exercise of ingenuity in mathematics consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.

  Alan Turing

  Exercise, Two, Drawing

  "Systems of Logic Based on Ordinals". Proceedings of the London Mathematical Society, Series 2, Volume 45, 1939.

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