Posted Nov 30, 2012 8:47 UTC (Fri) by man_ls
In reply to: Good piece
Parent article: LCE: Don't play dice with random numbers
This is perhaps the closest to a meaningful definition of "random," but it depends upon the validity of the uncertainty principle, and who qualifies as _anyone_.
Why does this definition involve the uncertainty principle, at all? It depends on information theory alone: that the information held by any party is limited and can be computed.
Again, we go back to the beginning: the next number can be decided by a chaotic system (such as a coin toss), a statistical system (such as thermal noise), a truly quantum system (such as the spin of a particle in a pair) or just a clever adversary (as in cryptography). As long as the next number cannot be guessed by someone, it appears random. If the next number cannot be guessed by anyone (i.e. is not correlated to previous values), it is truly random. The difference is subtle but essential.
With this latest rehashing of the old deterministic conundrum I will leave the discussion, if you don't mind.
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