# Re: Mind is a quantum computer

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On 25 Mar 2013, at 15:47, John Clark wrote:```
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> No machine can distinguish randomness from the behavior of a more complex machine than herself
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It's true that in general a machine cannot prove that something is purely random, but a human can't do that either nor can anything else. If the smallest computer program that can generate a string of numbers is larger than the string itself then you could confidently say it is random;
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Which, in passing entails, for pure combinatoric reason, that most survivers to the WM-duplication writes a WM random sequence, in that very sense, in their personal diaries.
```(Just to illustrate the FPI (First Person Indeterminacy)).

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but Greg Chaitin proved a few years ago that in general you can't be certain that there is not a program shorter than the one you are looking at that will generate the string. Thus although almost all strings of numbers are random and thus incompressible, you can't prove that any particular string is random.
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OK.

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Almost all the real numbers are random and not computable but neither humans nor computers can point to a single real number and truthfully say with certainty "that number is not computable, that number is random".
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Well, for some we can, and in some case we can even approximate them, but without computable modulus, and with some practical uncertainty, for long period, for some decimals. But randomness is a shallow notion compared to Emil Post's creativity, provably equivalent with Turing Universality, or Sigma_1-completeness. That notion does not filtered out the redundancy, which is at play for the global FPI.
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The border of a creative set is more like the border of the Mandelbrot set. It is not pure randomness, but it is fractal, chaotical, infinitely self-multiplying, infinitely self-merging, but always with some order and natural elegance.
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Randomness as some role, like the recursive has its role too, but the interesting happening are in between.
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Bruno

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John K Clark

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