Re: *THE* PUZZLE (was: ascension, Smullyan, ...)

From: Bruno Marchal <>
Date: Thu, 22 Jun 2006 11:24:22 +0200

Le 20-juin-06, à 01:18, Russell Standish a écrit :

> So we a need a name. Bitstrings is too specific, since we could also
> be referring to strings from other alphabets. The word description
> seems to fit the concept, and wasn't otherwise used in literature.

Why not saying just "strings" then? It works on all alphabet.
The term "Description" conveys the idea of finiteness, except in
explicit infinite formal languages.

> Whereas I don't think it does. It can be applied in an absolute way
> (such as you refer) or in a relative subjective way (which is how I do
> it). In fact I make the point that absolute measures aren't meaningful
> - there just isn't an absolutely given UTM.

 From a recursive or computationalist standpoint there is. In particular
"absolute measure" *can* be defined up to a constant.

> The dovetailing provides the simpler ensemble from which the specific
> computation is selected. This is right there in the first
> [Schmidhuber] paper.

I don't see it.

> In the second paper, the dovetailing is assumed to run on an actual
> resource limited computer - hence the speed prior.

But that dovetailing is not related to the universal one. Which is all
normal given that Schmidhuber does not base his reasoning on the 1-3
distinction. His ensemble or his "great programmer" is thus enough for
his purpose.


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Received on Thu Jun 22 2006 - 05:27:31 PDT

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