Provability, consistency, information, computability

From: H J Ruhl <HalRuhl.domain.name.hidden>
Date: Mon, 26 Nov 2001 20:45:29 -0800

The recent posts on "Does provability matter" prompt the following.

If information can be defined as the single valued resolution of an issue
then it would seem to me that information is actually consistency.

The only way I can see for all information to equal no information is for
there to be no consistency.

The Everything then would be definable as the total absence of consistency.

The first victim of this would be provability.

The second victim would be computability - the first output to have a
stable prefix would represent a consistency - thus no stable outputs
possible even if given all opportunity to stabilize. This means no
computers of any sort including the UD.

This brings me to my point of view in which evolving universes must have a
true noise content in the rules for selecting their next state and no
histories - just isolated moments.

What are the characteristics of an evolving universe that can support SAS?

Universes that support SAS would seem to need a low level of true noise on
the large event end of the scale and the rules of moment to moment
succession required by this should impose a low level of one bit [small end
of scale] events as well since few would fit the rules.

The bit string descriptor of such a universe should need to have a
decreasing internal correlation and an increasing length as the universe
goes from moment to moment in order to have space for the accumulating
results of the true noise thus a Second Law of Thermodynamics, an arrow to
"time", and a quantum mechanics coupled with a unifiable relativity.

Hal

   
Received on Mon Nov 26 2001 - 17:46:42 PST