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[ontolog-forum] randomness and information

To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Rob Freeman" <lists@xxxxxxxxxxxxxxxxxxx>
Date: Wed, 13 Feb 2008 09:46:49 +0800
Message-id: <7616afbc0802121746q17a5ecf9x98a11f5252c9728c@xxxxxxxxxxxxxx>
On Feb 13, 2008 5:19 AM, Pat Hayes <phayes@xxxxxxx> wrote:
> But OK, let me accede to my own strictures. You are right, any variable
> which incorporates a degree of chance may be called 'random'; and Sean is
> right that a sampling of such values may well provide statistical
> information about likelihoods. Nevertheless, my original point still holds.
> When we are talking about what is usually called a 'random sequence' of
> numbers or bits, as spoken of in Kolmogoroff theory, what makes such a
> sequence have maximal information density is that there is no way to compute
> any one of its values from all the others.    (01)

I think that's right Pat. But, with respect to you all, I'm not
talking about extracting information about the next bit.    (02)

Let's try another approach. Given a sequence random by this
definition. How many distinct patterns can you find in it?    (03)

-Rob    (04)

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