Norman Samish wrote:
Suppose an ideal random number generator produces, every microsecond, either
a zero or a one and records it on a tape. After a long time interval one
would expect the tape to contain a random mix of zeroes and ones with the
number of zeroes equal to the number of ones.
All arrangemets are equally likely, but the probability is, of course, zero.
So with probability one you don't get only zeros.
There is a theorem that says that any finite arbitrary configuration will
appear an infinite number of times in an infinite random sequence with
probability one.
Saibal
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
Yes I suppose so, there are an infinite number of ways to arrange an
infinite number of zeros (or ones), but it's little odds, because they
are essentially the same string as far as we are concerned. Each infinite
arrangement with zeros and ones together is distinct however.
More generally, all
Brett Hall wrote:
There is a difference between saying The existence of the physical world
is certain (i.e: we can prove it) and I believe that the physical world
exists.
This is analagous to our trust in the laws of physics we can hold the
belief that Quantum Theory is a true description of
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