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From: Neil Lion <n3i1i0n.domain.name.hidden>

Date: Fri, 09 Nov 2001 17:28:54 +0000

It's undefinable. You're just as likely to get all zeros,

or all ones, as you are to get any arrangement of numbers you care to

mention (or can mention); the probability being 0 for each, I suppose. The

difference is, there are some infinite binary strings of numbers you cannot

define without an infinite description (semantic paradoxs

aside).. which one assumes, are 'truly' random.

*>From: Norman Samish <ncsamish.domain.name.hidden>
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*>To: everything-list.domain.name.hidden
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*>Subject: The infinite list of random numbers
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*>Date: Thu, 08 Nov 2001 20:41:30 -0800
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*>
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*>Suppose an ideal random number generator produces, every microsecond,
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*>either
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*>a zero or a one and records it on a tape. After a long time interval one
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*>would expect the tape to contain a random mix of zeroes and ones with the
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*>number of zeroes equal to the number of ones. Is this necessarily true?
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*>Is
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*>it possible that, even after an infinite time had passed, that the tape
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*>could
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*>contain all zeroes or all ones? Or MUST the tape contain an equal number
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*>of
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*>zeroes and ones? Why? If you have a reference dealing with this topic,
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*>please let me know. Thanks,
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*>Norm Samish
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Received on Fri Nov 09 2001 - 09:31:05 PST

Date: Fri, 09 Nov 2001 17:28:54 +0000

It's undefinable. You're just as likely to get all zeros,

or all ones, as you are to get any arrangement of numbers you care to

mention (or can mention); the probability being 0 for each, I suppose. The

difference is, there are some infinite binary strings of numbers you cannot

define without an infinite description (semantic paradoxs

aside).. which one assumes, are 'truly' random.

_________________________________________________________________

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Received on Fri Nov 09 2001 - 09:31:05 PST

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