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Mathematical reasoning may be regarded.

Alan Turing

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Alan Turing
Age: 41 †
Born: 1912
Born: June 23
Died: 1954
Died: June 7
Artificial Intelligence Researcher
Computer Scientist
Cryptographer
Logician
Marathon Runner
Mathematician
Statistician
University Teacher
Warrington Lodge Medical and Surgery Home for Ladies
Alan M. Turing
Alan Mathieson Turing
Turing
Alan Mathison Turing
Reasoning
Mathematical
Mathematics
May
Regarded

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We may hope that machines will eventually compete with men in all purely intellectual fields.
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In attempting to construct such (artificially intelligent) machines we should not be irreverently usurping His (God's) power of creating souls, any more than we are in the procreation of children,” Turing had advised. “Rather we are, in either case, instruments of His will providing mansions for the souls that He creates.
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My little computer said such a funny thing this morning.
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Instruction tables will have to be made up by mathematicians with computing experience and perhaps a certain puzzle-solving ability. There need be no real danger of it ever becoming a drudge, for any processes that are quite mechanical may be turned over to the machine itself.
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Science is a differential equation. Religion is a boundary condition.
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Machines take me by surprise with great frequency.
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Codes are a puzzle. A game, just like any other game.
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Unless in communicating with it one says exactly what one means, trouble is bound to result.
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Instead of trying to produce a programme to simulate the adult mind, why not rather try to produce one which simulates the child's? If this were then subjected to an appropriate course of education one would obtain the adult brain.
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It seems probable that once the machine thinking method had started, it would not take long to outstrip our feeble powers… They would be able to converse with each other to sharpen their wits. At some stage therefore, we should have to expect the machines to take control.
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The Exclusion Principle is laid down purely for the benefit of the electrons themselves, who might be corrupted (and become dragons or demons) if allowed to associate too freely.
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A man provided with paper, pencil, and rubber, and subject to strict discipline, is in effect a universal machine.
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If a machine is expected to be infallible, it cannot also be intelligent.
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No, I'm not interested in developing a powerful brain. All I'm after is just a mediocre brain, something like the President of the American Telephone and Telegraph Company.
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Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
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We are not interested in the fact that the brain has the consistency of cold porridge.
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A computer would deserve to be called intelligent if it could deceive a human into believing that it was human.
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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.
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When we want to sink a convoy, we send out an observation plane first... Of course, to observe is not its real duty, we already know exactly where the convoy is. Its real duty is to be observed...Then, when we come round and sink them, the Germans will not find it suspicious.
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A very large part of space-time must be investigated, if reliable results are to be obtained.
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