Re: Self without context???

2002-06-15 Thread H J Ruhl

Dear Bruno and Stephen:

Since I think I have just about finished explaining my model to myself 
perhaps I can now do a better job of explaining it to others.  So here goes.

1) The first thing I consider in need of basis is: There is a dynamic 
within the system [The machine(s) change state].


I start my basis for this with my own concepts for factuals and 
counterfactuals.

A factual in my model is a piece of information.  An example would be: All 
numbers exist.
A counterfactual in my model is a piece of information that is the "not" or 
negation of part or all of a factual.  An example would be: All numbers do 
not exist.

A factual that is completely negated by a collection of counterfactuals is 
itself a counterfactual.  Together these counterfactuals form a set.

The first level of the model is the ensemble of all counterfactuals.  It 
contains no information.  Call that the Everything.  Now we may have forged 
a problem.  To say: The Everything exists is a factual.  This by itself is 
not in keeping with the objective of working with a zero information 
system.  Does it have a counterfactual.  Yes: The Nothing defined as the 
absence of factuals of any sort.  So we allow that the Nothing also exists.

Now note that since both the Everything and the Nothing are counterfactuals 
they are both in the Everything.  The Everything is a member of itself - 
over and over.  This association is thus infinitely nested as is the 
boundary between the Everything and the Nothing.

Now switch to the idea of selection.  The Everything can contain no 
selection since any selection would constitute a factual that is absent a 
counterfactual which is not allowed.

Thus the Everything/Nothing boundary must not have a selected configuration 
or a selected evolution - it must randomly shift.  The shifting boundary 
exposes some of the counterfactuals in the Everything to the 
Nothing.  During this exposure such counterfactuals approach an incomplete 
negation - their negation becomes fuzzy.  What we consider our reality [our 
universe] is one of an infinite number of similar realities that are 
emergent as isomorphisms to this randomly shifting fuzz [a seething foamy 
fractal].

2) The next thing I see in need of discussion is whether any members of 
this ensemble of universes are in some way subject to input from the 
underlying random dynamic.  This input would be as input from a random 
external oracle - true noise.

The primary tool I use is the need to avoid a selection.  The conclusion is 
that either none of them are subject to this input or they all are.  To 
have some subject to this input is not allowed if selection is to be avoided.

Is there any reason that a universe might be subject to this noise?  A 
universe in this model that has an evolutionary history must have found a 
series of successive isomorphic matches to the random dynamic of the 
Everything/Nothing boundary.  While noise free universes might have short 
histories, those with long histories would tend to be those subject to 
noise.  It would be a bit like natural selection for such a trait but is 
really an initial feature.  I take this to be sufficient basis given the 
need to avoid selection to hold in the model that all evolving universes 
are subject to true noise.

3) The next thing to explore is the nature of the rules in each universe 
that guide its range of next possible isomorphisms [states].  Each current 
state has its own such range.

More later.

Hal   




Re: relevant probability distribution

2002-06-15 Thread Matthieu Walraet

On 15 Jun 2002, at 14:27, Russell Standish wrote:
 
> 
> No the issue concerns any conscious "program", rather than any
> particular one. The fact that there are vastly more amoeba than homo
> sapiens tends to argue against amoebae being consious.
> 

This remind me of Jack Vance novels "Alastor".
One of the characters is the king that rules over a vast area of the 
galaxy. He likes to travel incognito among his subjects, and he often ask 
himself the question: "There is billions of men and only one king. How is 
it possible that it happens that I am the king ?"

Do your position about this is that subjects are not conscious, only kings?

>From a third-person point of view (the reader of the novel), the question 
is simple. There is billions of subjects, and they can all ask themselves 
"Why I am me and not someone else ?".

The problem is we have only a first-person point of view on our universe 
(or on the "everything"). We must use our imagination, to do thought 
experiments, to get a third-person point of view. 

Matthieu.
-- 
http://matthieu.walraet.free.fr




Re: self-sampling assumption is incorrect

2002-06-15 Thread Wei Dai

After writing the following response, I realized that my argument against
the self sampling assumption doesn't really depend on E1 and E2 being
experiences. They can be any kind of events.  Suppose they're prizes that
the copies can win for the original. E1 is a TV and E2 is a stereo. You'd
prefer a TV over a stereo but would rather have one TV and one stereo
instead of two TVs. Then my argument still works.

The issue of whether substitution effects can apply to experiences of 
copies is of independent interest, so my original response still has a 
point.

On Fri, Jun 14, 2002 at 07:42:27PM -0700, Hal Finney wrote:
> What about this variant on the experiment (the full experiment is below).
> Instead of B1 and B2 both getting E1, let B1 get E1 and B2 get E1'.
> E1' is another experience than E1 that is just about as good.
> U(E1) > U(E2) and U(E1') > U(E2).  The idea is that this eliminates
> possible issues regarding whether two people (B1 & B2) who get exactly
> the same experience should count twice.

I think in that case it's still possible for U({E1,E1'}) < U({E1,E2}), if 
for example E1 and E1' are very similar.

> It does seem that the SSA pretty much implies that if U(E1') > U(E2) then
> U({E1,E1'}) > U({E1,E2}).  Is it really rational for this to be otherwise?

Yes, I believe it can be. If you believe otherwise you have to convince me
why it's impossible to value diversity of experience in your copies, or 
why having that value would lead to absurd consequences. 

We all know the law of diminishing marginal utility, which says that the
marginal utility of a good decreases as more of that good is consumed, and
the existence of substitution effects, where the marginal utility of one
good decreases when another similar good is consumed. I suggest there is
no reason to assume that the value of experiences of one's copies cannot
exhibit similar cross-dependencies. Actually I think the reason that
we have diminishing marginal utility and substitution effects, namely that 
they provide an evolutionary advantage, also applies to the value of 
experiences of copies.

> We know that rationality puts some constraints on the utility function.
> We can't have cyclicity in the utility preference graph, for example.

Our normative theories of rationality (i.e. decision theories) do put
constraints on preferences, but the history of decision theory has been
one of recognizing and removing unnecessary constraints, so that it can be
used by wider classes of people. The earliest decision theories for
example where stated in terms of maximizing expected money payoffs rather
than expected utility, which implicitly assumes that utility is a linear
function of money. Today, of course we recognize that utility can be any 
function of money, even a decreasing one. Another example is the move from 
objective probabilities to subjective probabilities.

> But in the case above, where U({X,Y}) means the utility of having two
> different independent experiences X and Y, maybe it does follow that
> U({X,Y}) and U({X,Z}) must compare the same as U(Y) and U(Z).  You don't
> have any choice but to accept the equivalence.  As Lewis Carroll wrote,
> "Then Logic would take you by the throat, and FORCE you to do it!"
> (http://www.mathacademy.com/pr/prime/articles/carroll/index.asp)

But remember that we choose the axioms. Logic doesn't tell use which 
axioms to use.