On 16 Mar 2010, at 02:55, m.a. wrote:
Bruno,
Another plea for understanding. For clarity I will
delete some questions from previous pages leaving only the ones that
continue to puzzle me, in bold type.
By "computer" I assume you're referring here to the arithmetical
universe of comp rather than to a silicone-based machine.
It is preferable to see a computer , may be programmed, as a finite
thing, a number, "living" (existing) in the arithmetical universe,
once we assume comp.
There exist an infinity of such universal numbers in the arithmetical
universe. They verify that phi_u (, x, y) = phi_x(y). It is the golem:
you write the finite things x and y on its front, and he do the work
of the machine/number x on the input y.
How can there be indeterminacy in comp when there are no material
particles subject to Heisenberg's theory, only numbers? Is there an
element of chance in the universal dovetailing of pure numbers?
Of course. This results from the seven first step of UDA. There is a
total 3-determinacy , which multiplies any of your state an infinity
of UD-times, in an infinity of computations, which entails, from
*your* first person point of view to a very strong form of
indeterminacy. You cannot know in which computations you are, and the
physical emerges from that statistics.
Comp provides the stronger form of subjective, or first person
indeterminacy. If I am machine I am duplicable. Cf the Washington
Moscow self-duplication. You cannot predict in advance if you will
feel to be the one reconstituted in Moscow, or he one reconstituted in
Washington.
Then, the way you quantify that indeterminacy does not depend on the
time and delays of the reconstitutions, nor of the virtual, real, or
eventually arithmetical reconstitution. So your future states depend
on all the arithmetical consistent extension states, of your current
state, existing in the UD platonic execution.
The Universal Dovetailer (or just elementary arithmetic) generates you
current states infinitely often, belonging to an infinity of possible
computational histories. The physical laws have to be justified by
that indeterminacy of your relative states/histories existing in
arithmetic.
You may (re)read cautiously the UDA (from SAN04). The key is that a
third person determinacy (like the UD works) generates from the point
if view of the subjects a very strong form of indeterminacy due
notably on the fact that below their s-comp substitution level, there
are an infinity of histories going through their states; and
measurement at that level have to be given by a distribution of
probabilities on the computations, as seen from inside (that is with
respect of memories).
The key relies in the understanding of the 1 and 3 person distincts
points of view.
Bruno
http://iridia.ulb.ac.be/~marchal/
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