Re: Would you call this a paradox?

On Jun 24, 9:17 pm, "Doug Wedel" <dougwe...@[EMAIL PROTECTED]
> wrote:
> One definition of a paradox is "an apparently true statement or group of
> statements that leads to a contradiction or a situation which defies
> intuition"
>
> Both Claude Shannon and Andrey Kolmogorov define the quantity of
information
> contained in a string in terms of the number of bits required to specify
the
> string.  This seems eminently reasonable -- the fewer the bits required
to
> specify a string, the less "information" it contains -- but it leads
> ineluctably to the conclusion that information is at its maximum in
random
> numbers.
>
> Is it a contradiction to say that random numbers contain "information",
much
> less "maximum information"?  Is it counterintuitive?
>
> Does it fit the definition of a paradox, in your opinion?

> Claude Shannon defined entropy using frequency of symbols, only.
> Thus, letters in letters have the same entropy as types in printer's
case, or
> in any random string.  Since information is contained in their proper
ordering,
> it can not be measured by simple counting.
kunzmilan