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The Turing test was described by A. Turing in his paper [4] as follows: An interrogator questions both Turing machine and second participant of the test (a person), each of which tries to appear human. The interrogator does not know from whom exactly he receives answers and has the objective to tell the Turing machine from the person (for more details, see,… (More)

A certain mathematician M, considering some hypothesis H, conclusion C and text P, can arrive at one of the following judgments: (1) P does not convince M of the fact that since H, it follows that C; (2) P is the proof that since H, it follows that C (judgment of the type"Proved"). Is it possible to replace such a mathematician with an arbitrary Turing… (More)

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