On 06 Apr 2015, at 07:02, Bruce Kellett wrote:
Bruno Marchal wrote:
On 05 Apr 2015, at 01:19, Russell Standish wrote:
Then what is your definition of a recording? In my eyes, UD* is a
recording, particularly a finite portion of it, such as the first
10,000 steps of the first 10,000 programs.
You confuse description of computations, which exists in the
"movies" obtained by filming the boolean graph, and the
computations themselves, with involves semantic, that is a reality
(be it the static standard model of Peano Arithmetic) or a physical
reality.
Where is the dynamics necessary for computations themselves (as
opposed to descriptions of computations) in the static standard
model of Peano Arithmetic? I know where the dynamics reside in
physical reality.
In the truth of the elementary relations which implements a relation
between some universal Turing system (universal number) and the
program that is implemented.
I remind you that 'dynamic' means "of or relating to force producing
motion" or "active, potent, energetic, forceful; characterized by
action or change." In other words, the opposite of static.
That is a physicalist account of dynamics. It could be the correct
one---I don't know. But even if is the correct one, you have to agree
that a diophantine approximation of, let us say the evolution of the
milky way + andromeda can exists (unless you presuppose at the start
that the Milky Way + andromeda use non computable functions). So your
type of dynamics would exist somewhere in the dynamics of some game-of-
life pattern, and would appear in the running of a game-of-life
pattern emulating the universal dovetailer, which run all game-of-life
pattern. Then it would exist in the block-description of the dynamics
(digital, discrete) of the universal game of life patter, that you can
see as a static infinite cone of some sort. In that case, your
acceptance of a block universe, and the way to recover the dynamics
internally would work for that pattern.
The FPI makes this a bit more complex, because from the point of view
of the self-aware entities emulated in the universal pattern, their
"real future" is not really defined by some location in the pattern,
but from all their infinitely many locations in that pattern.
To be more precise, I should explain you how "computations" and
"emulation" is defined in arithmetic, in term of the truth of
elementary number theoretical relations. A computation will exist
through the fact that it is true that some numbers divide some other
numbers, and other facts like that. On the contrary, a description of
a computation will be a number from which we can extract the
description of a sequence of states, but that is different from the
states existence being the result of a set of true relation.
It is very much like the difference between the Gödel number of the
sentence "3 divides 6", and the true fact that the number 3 divides 6.
The first one is a number, and needs some encoding; the second is a
truth involving the number 3 and 6, and which does not needs any
encoding to be true (only to be communicated).
Bruno
Bruce
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