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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.

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
May
Mathematical
Ontology
Certainty
Facilities
Combination
Ingenuity
Logic
Facility
Exercise
Regarded
Call
Reasoning
Rather
Uncertainty
Two
Intuition

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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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Mathematical reasoning may be regarded.
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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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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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Codes are a puzzle. A game, just like any other game.
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