Bruno,
you made my day when you wrote:
*"SOMEHOW" - *in:
"...The machine has to be "runned" or "executed" relatively to a universal
machine. You need the Peano or Robinson axiom to define such states and
sequences of states.
You can shuffled them if you want, and somehow the UD does shuffle
them by its dovetailing procedure, but this will not change the
arithmetical facts that those states belong or not too such or such
computational histories...."
*
First: my vocablary sais about 'axiom' the reverse of how it is used, it is
our artifact invented in order to facilitate the application of our theories
IOW: explanations for the phenomena so poorly understood (if anyway). So it
is MADE up for exactly the purpose what we evidence by it.
Second: UD *"shuffles 'them'* by the ominous *'somehow'*, (no idea: how?)
but it has to be done for the result we invented as a 'must be'.
Third: the *'computational history' snapshots* have to come together
(I am not referring to the sequence, rather to the combination between
'earlier' and 'later' snapshots into a continuum from a discontinuum. That
marvel bugs science for at least 250 years since chemical "thinking"
started.
A sequence of pictures is no history.
*
Then again: you wrote:
"...The world you are observing is a sort of mean of all those
computations, from your point of view. But the "running of the UD" is just
a picturesque way to describe an infinite set of arithmetical relations..."
I am not sure about the "mean" since we are not capable of even noticing
'all of them', not to evaluate the totality for a 'mean' - in my not
arithmetic vocabulary: a median *"meaning"* of them all (nonsense).
Your words may be a flowery (math that is) expression of 'viewing the
totality in its entirety' which is just as impossible (for us, today) as to
realize your 'infinite set of arithmetical relations'. If I leave out the
'arithmetical' (or substitute it by my meaningfulness) then we came together
in 'viewing the totality' in our indiviual wording-ways.
"*Relations"* is the punctum salience, it is a loose enough term to cover
whatever is beyond our present comprehension. When relations look
differently (maybe by just our observation from a different aspect?) we
translate it into physical terms like change, movement, reaction, process or
else, not realizing that WE look at it from different connotations.
Use to that our *coordinates* (space and time) in the limited view we can
muster (I call it: *"model*") and we arrived at causality of the
conventional sciences (and common sense thinking as well).
Indeed it is our personal (mini)-solipsistic perceived reality of *OUR*world
washed into some common pattern (partially!) by comp or math or else.
By the maze of such covering umbrella we believe in adjusted thinking.
*
Please do not conclude any denial from my part against the 'somehow' topics,
the process-function-change manipulations (unknown, as I said),
it is only reference to my ignorance directed in my agnosticism towards
made-up explanations of any cultural era (and changing fast).
John M
On Tue, Apr 21, 2009 at 2:00 PM, Bruno Marchal <marchal.domain.name.hidden> wrote:
>
>
> On 21 Apr 2009, at 18:59, Brent Meeker wrote:
> >
> > The question was whether information was enough, or whether something
> > else is needed for consciousness. I think that sequence is needed,
> > which we experience as the passage of time. When you speak of
> > computations "going from A to B" do you suppose that this provides the
> > sequence?
>
> Not really. Subjective time, be it first person or first person plural
> (and thus "physical") relies on all computations made by the UD, and
> the taking into account it is "self-referential".
>
>
>
>
> > In other words are the states of consciousness necessarily
> > computed in the same order
>
> Your first person next instant depends on an infinity of computations
> made by the UD. The time step of the UD is relevant, because it
> determines the whole UD structure, but it is not related in any direct
> way with "time". We can conjecture than the more our substitution is
> low, the more *time* looks like a computation being independent of us:
> so relation of order can be made through indiscernible computation
> equivalence class. I mean there are relation between states of
> consciousness and computational history, but our consciousness
> evolution is not related directly to one computational sequence.
>
>
> > as they are experienced or is the order
> > something intrinsic to the information in the states (i.e. like
> > Stathis'es observer moments which can be shuffled into any order
> > without
> > changing the experience they instantiate).
>
> Consciousness is related to the sheaf of computations going through
> that states. A computational state is a state of a computing
> (mathematical) machine when doing a computation. The machine has to be
> "runned" or "executed" relatively to a universal machine. You need the
> Peano or Robinson axiom to define such states and sequences of states.
> You can shuffled them if you want, and somehow the UD does shuffle
> them by its dovetailing procedure, but this will not change the
> arithmetical facts that those states belong or not too such or such
> computational histories. And consciousness relies on those
> computational facts (and information play important role there, but
> not up to identify consciousness and information. (I think
> consciousness is more a filtering of information, somehow).
>
>
>
> >
> >
> > A related question in my mind has to do with reversibility.
> > Computations in general are not reversible: Turing machines erase
> > symbols. You can't infer the factors from the product. But QM
> > (without
> > collapse) is unitary and reversible in principle (though not in
> > practice
> > because of statistical and light-speed reasons). So my question is,
> > are
> > the computations of the UD reversible?
>
> I have still a residual doubt that a quantum computer makes sense
> mathematically, but if that exists, then there exist a reversible
> universal dovetailing.
>
>
>
>
> >
> >
> >> and thus you have to take into
> >> account the infinitely many universal number relations transforming A
> >> into B. Most of them are indiscernible by "you" because they differ
> >> below "your" substitution level.
> >>
> >
> > Does the UD have to complete the infinitely many computations from A
> > to
> > B, i.e. we must think of these computations as being complete in
> > Plationia?
>
> Yes. Our first person expectations relies on the whole completion of
> the UD, due to the non awareness of the dovetailing delay. But it is
> easier to describe the working of the UD by a program executed in
> time, than by an infinite set of arithmetical relations already true
> in "Platonia".
>
> If you accept comp, you accept that your "brain state" is accessed an
> infinity of times by the UD through an infinity of computations. The
> world you are observing is a sort of mean of all those computations,
> from your point of view. But the "running of the UD" is just a
> picturesque way to describe an infinite set of arithmetical relations.
> From inside it is just a logical consequence that it looks analytical
> and physical. Obvioulsy a lot of work has to be done to see if all
> this will lead to a refutation of comp, or to a "theory of everything".
>
> Bruno
>
>
>
> >> (*)
> >> - Richard Epstein and Walter Carnielli, Computability, computable
> >> Functions, Logic, and the Foundations of Mathematics, Wadsworth &
> >> Brooks/Cole Mathematics series, Pacific Grove, California, 1989.
> >> - Boolos, Burgess and Jeffrey, Computability and Logic, Cambridge
> >> University Press, Fourth edition, 2002.
> >>
> >> Bruno
> >>
> >> http://iridia.ulb.ac.be/~marchal/
> >>
> >>
> >>
> >>
> >>>
> >>
> >>
> >
> >
> > >
>
> http://iridia.ulb.ac.be/~marchal/
>
>
>
>
>
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Received on Tue Apr 21 2009 - 15:30:04 PDT