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Date: Wed, 23 May 2007 16:11:54 +0200
From: "Ricardo Aler" <aler.domain.name.hidden>
To: "Russell Standish" <hpcoder.domain.name.hidden>
Subject: Re: Theory of Nothing
In-Reply-To: <20070522213958.GI1948.domain.name.hidden>
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On 5/22/07, Russell Standish <hpcoder.domain.name.hidden> wrote:
>I get around this issue in my paper (and also book - see page 52) by
>interpreting Tegmark's ensemble as being the set of all finite
>axiomatic systems. This then doesn't have the problem you raised.
I see. Elegant. But I'm thinking that there must systems with infinite
axioms (and perhaps, of different cardinality). So, the complexity of
the ensemble of finite axiomatic systems must be zero, provided we are
within the framework of such ensembles, but not in an absolute sense.
It actually could never be zero in an absolute sense (if that concept
is meaningful at all).
Ricardo.
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Received on Wed May 23 2007 - 18:47:33 PDT