# Re: Properties of observers

From: Hal Ruhl <HalRuhl.domain.name.hidden>
Date: Sun, 10 Feb 2008 13:56:18 -0500

Hi Stephen:

In response to your post I have revised my previous post.

I made division equal information and rewrote (1) and (2).
I replaced "meaningful" with "compulsatory" in various places at least for now.
The result is below.
As for associating randomness with creativity Russell argues this in
his book and I was showing that my model has randomness and thus was
not in conflict with his argument at least at this level.
As to degrees of incompleteness I do not see how this can be
routinely measured. Arithmetic may be known to be infinitely
incomplete but for other structures the resolution of an

1) Assume [A-Inf] - a complete, divisible ensemble of divisions.
{[A-Inf] contains itself.}

2) [N(i):E(i)] are two component divisions of [A-Inf] where i is an
index [as are j, k, p, r, t, v, and z below] and the N(i) are empty
of any [A-Inf] and the E(i) contain all of [A-Inf].
{i ranges from 1 to infinity}

3) S(j) are divisions of [A-Inf] that are not empty of [A-Inf].
{Somethings}

4) Q(k) are divisions of [A-Inf] that are not empty of [A-Inf].
{Questions}

5) cQ(p) intersect S(p).
{cQ(p) are compulsatory questions for S(p)}

6) ucQ(r) should intersect S(r) but do not, or should intersect N(r)
but can not.
{ucQ(r) are un-resolvable compulsatory questions}.

7) Duration is a ucQ(t) for N(t) and makes N(t) unstable so it
eventually spontaneously becomes S(t).
{This ucQ(t) bootstraps time.}

8) Duration can be a ucQ(v) for S(v) and if so makes S(v) unstable so
it eventually spontaneously becomes S(v+1)
{Progressive resolution of ucQ, evolution.}

9) S(v) can have a simultaneous multiplicity of ucQ(v).
{prediction}

10) S(v+1) is always greater than S(v) regarding its content of [A-Inf].
{progressive resolution of incompleteness} {Dark energy?} {evolution}

11) S(v+1) need not resolve [intersct with] all ucQ(v) of S(v) and
can have new ucQ(v+1).
{randomness, developing filters[also 8,9,10,11], creativity, that
is the unexpected, variation.}

12) S(z) can be divisible.

13) Some S(z) divisions can have observer properties [also S
itself??]: Aside from the above the the S(v) to S(v+1) transition can
include shifting intersections among S subdivisions that is
communication, and copying.

Perhaps one could call [A-Inf] All Information [all divisions].

Well its a first try.

Hal Ruhl

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Received on Sun Feb 10 2008 - 13:56:52 PST

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