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Tim Cook wrote:
> The important thing to remember is that (as Warp has been trying to
> point out), when the probability tends mathematically to 0 due to
> infinite element, it neither *requires* nor *absolutely excludes*
> something from happening.
I understand the assertion. Wikipedia (amongst other sources) disagrees.
> infinite sequence, but neither *has to*.
Do you have a citation for this assertion? Because the wikipedia entry on
Normal_numbers disagrees with you. If you have an equal probability for all
1-symbol elements to appear in an infinite string (i.e., if every symbol
appears an infinite number of times) then you have an equal probability of
every subsequence to show up - i.e., all possible combinations show up an
infinite number of times.
If you have an infinite number of trials and the letter 'a' never shows up,
it means it's impossible for the letter 'a' to show up. The probability a
priori of 'a' showing up is zero, because any non-zero number times infinity
is infinity.
--
Darren New, San Diego CA, USA (PST)
There's no CD like OCD, there's no CD I knoooow!
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