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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
Regarded
Reasoning
Mathematical
Mathematics
May

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I believe that at the end of the century the use of words and general educated opinion will have altered so much that one will be able to speak of machines thinking without expecting to be contradicted.
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We are not interested in the fact that the brain has the consistency of cold porridge.
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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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A man provided with paper, pencil, and rubber, and subject to strict discipline, is in effect a universal machine.
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My little computer said such a funny thing this morning.
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I'm afraid that the following syllogism may be used by some in the future. Turing believes machines think Turing lies with men Therefore machines do not think Yours in distress, Alan
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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.
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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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Codes are a puzzle. A game, just like any other game.
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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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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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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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Unless in communicating with it one says exactly what one means, trouble is bound to result.
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Up to a point, it is better to just let the snags [bugs] be there than to spend such time in design that there are none.
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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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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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Machines take me by surprise with great frequency.
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