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In chapter 2.5 book "Shadows of the mind," Roger Penrose presents his "evidence" niealgorytmiczności human brains. Intakes derived from a theorem Goedla (showing any weakness in the algorithm), then concludes that the same has proved that our mind on any algorithm dominates. He forgot, however, a trifle: never thought that our mind is free from these weaknesses, which are algorithms.
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suppose that the error lies in a misunderstanding of Penrose's how our mind that once a conflict, and other times it is incomplete. The diagnosis can sometimes be the truth is not the result of "good" algorithm, but rather an "aesthetic" choice between the various conflicting answers podsuwanymi by different or even "correct" algorithms.
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Niealgorytmiczności our minds can not be proved. You can believe it or not. One is to show that for any algorithm will never be able to prove his "intelligence." Its equivalence of our minds. Perhaps someday emerge algorithms that will be seen as intelligent, their intelligence, however, will continue the scientific hypothesis, can a theory, but never a logical axiom. It is unfortunate that Penrose attempted to prove something to prove, by definition, can not instead focus on show a weaker argument, but true.
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Automata do not suspect for possession of consciousness, because these actions that we perform automatically, are not recorded by our consciousness. However, if you see that awareness is a process associated with remembering, with the creation of new relationships, new associations, then we believe that each machine "learning" experiences - on the right of way - consciously. The "Chinese Room" by John Searle's consciousness could occur only if When asked questions affect the creation of internal links - for example - the situation to pass the Turing Test, the topics covered by the questions. Searle's construction precludes such a possibility. You can, however, imagine a slightly different (though similar) mechanism of action, "Chinese Room" and the awareness it could possibly arise.
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possible that the intense awareness that accompanies us in extreme situations is an evolutionary adaptation. The result of the benefits of learning to behave in extreme situations.
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mind the unpredictability of our algorithm benefits from the unpredictability of "input" (input), which is characterized by infinite variety. The richness of the interior allows her to manifest.
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Mathematics is an artifact. The same as any realistic artwork, and so produced by observing the reality that surrounds us (nihil est in intellectu, quod non prius fuerit in sense.) Mathematics is abstracted (generalization) that we experience living in a world as it exists. It is a product of our minds and does not reside anywhere outside. In finding that the book of nature is written in the language of mathematics (Galileo) is as much sense as to say that it is written in Italian.
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ability to create generalizations, to generalize everything, but to verify their generalizations is the foundation of our minds. This ability is something extraordinary and stunning. Each algorithm, which is to be intelligent, must possess this characteristic. Who knows if the road goes through here is to build artificial intelligence "from scratch".