Eliminating the machine

From: Hal Ruhl <hjr.domain.name.hidden>
Date: Sat, 18 Nov 2000 09:54:45 -0800

All counting numbers exist in countable infinite copies in a seething foamy
fratal.

The collection of universes is isomorphic to non deterministicly self
sorting sequences U(i) of these numbers that upon chance encounters sort
according to:

1) p(i) = {R(p(i - 1)) + PL(i)} is the compressed form of U(i).
where R(p(i - 1)) is the fixed rule set of a particular universe acting on
the previous U(i).

2) U(i) grows in length [number of bits] randomly to avoid Chaitin's limit
on how much information you can put into an N-bit number.

3) When U(i) gets to have a countably infinite number of bits the sequence
ends. From Turing and Hilbert - See Tegmark Section II.

They non deterministicly self sort because of (2) and U(i -1) contains R
and recognizes any PL(i) suitably larger than its own PL(i -1) - i.e. U(i
-1) picks the first good number it encounters out of a countable infinite
set of potential successors.

(2) and (3) may not be independent of (1).

Alternate beginning: No numbers exist. This is unstable logically. It
contains no answer to its own stability. It decays into all counting
numbers which is sufficient to contain the answer.

Hal
Received on Sat Nov 18 2000 - 07:04:25 PST

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