Re: MAYBE YOU WILL ANSWER A MULTI CHOICE ???
From: John Savard (jsavard_at_excxn.aNOSPAMb.cdn.invalid)
Date: 01/10/05
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Date: Mon, 10 Jan 2005 19:03:18 GMT
On Mon, 10 Jan 2005 14:26:23 +1000, "|-|erc" <h@r.c> wrote, in part:
>So if an infinite number of people flip coins infinite times each, can
>you come up with a new sequences? Note EVERY sequence has
>been tossed to infinite coin flips.
If even one person flips coins an infinite number of times, the sequence
he will create is virtually certain to be a new sequence, one not in the
infinite list of infinite sequences that you have.
But until he "finishes" (which, of course, never happens in reality for
flipping coins - which is why infinite random sequences are *not*
computable) the part of the sequence flipped _so far_ will be matched by
one or more - no, it will be matched by an infinite number - of the
computable infinite sequences in the list.
Of course, while flipping a coin an infinite number of times will not
happen, a random real can be generated by measuring where the coin drops
to infinite precision. (That, of course, presents a different class of
practical problems.)
John Savard
http://home.ecn.ab.ca/~jsavard/index.html
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