differences will get amplified. I don't see that running on a Qusp will
really give you the kind of assurance he is hoping to get.
Anyway, it is an interesting story, in the first half at least. And it
is good to see some thoughtful discussion of the philosophical issues
raised by the MWI.
Hal
, that will
prove something. But when your first step is to prepare an infinite
superposition, that has no applicability to the physical universe.
Hal Finney
in the imperfect
universe where we live.
Hal Finney
Brent Meeker wrote:
On 31-Dec-02, Hal Finney wrote:
One correction, there are no known problems which take exponential
time but which can be checked in polynomial time. If such a problem
could be found it would prove that P != NP, one of the greatest
unsolved problems in computability
Hans Moravec writes:
Hal Finney:
there are no known problems which take
exponential time but which can be checked
in polynomial time. If such a problem could
be found it would prove that P != NP ...
Communications glitch here. The definition
of NP is problems that can be solved
happened to provide the necessary conditions, or if there wre some other
civilization in our local universe who had built the required machinery.
Hal Finney
I assume that it is not much additional trouble to
rate the postings from just a couple of days.
Hal Finney
are true. By this reasoning, each person will eventually become
subjectively convinced of multiverse theories (if they deduce that this
is the explanation for their bizarrely extended lifespans).
Hal Finney
cosmology on fundamental principles? Are infinite-time
universes of zero measure compared to ones with a fixed beginning?
It would be interesting if the everything-exists model could be used to
constrain cosmological theorizing in this way.
Hal Finney
I wrote:
Paul Steinhardt, one of the original cosmic-inflation theorists and the
man who coined the term quintessence has a new theory of cosmology
which is described at http://arxiv.org/abs/astro-ph/020447.
Sorry, the correct URL is http://arxiv.org/abs/astro-ph/0204479.
Hal
of worlds affected by our acts, considered as a whole. To the extent
that a whole is more than the sum of its parts, actions in a multiverse
model may justifiably be different than in a single universe.
Hal Finney
would have arisen and colonized through world-space as well as physical
space.
As I said, I'm not sure that Price is 100% correct in his reasoning here,
but still there is a good argument to be made that inter-world travel
cannot be too easy, or else they would certainly be here by now.
Hal Finney
. It will be interesting
to see how Steinhardt's cyclic model fares vis a vis inflation, if both
models truly do turn out to explain the observations equally well.
Hal Finney
say about the past in that case?
Are there two pasts, one where the particle went through each slit,
which have now recombined to form the present? Or just one past, where
the particle managed to go through both slits at once?
Hal Finney
to all observers rather than just the individual who was injured.
Hal Finney
).
That way we can hope to keep the level of discourse at a high level and
continue to attract good contributions.
Hal Finney
superposition would require an
infinitely large machine.
Hal F.
the universe is like a character from a spy novel: it could tell
us what it knows (solving the halting problem, etc.), but then it has
to kill us.
Hal F.
that the evolution
of intelligent life is overwhelmingly unlikely. Robin Hanson has a
couple of papers on this, http://hanson.gmu.edu/greatfilter.html and a
more technical one at http://hanson.gmu.edu/hardstep.pdf.
Hal Finney
of your argument works just as well with a countable
infinity as an uncountable one.
Hal Finney
for arithmetic is inconsistent? Godel's theorem only shows that
if consistent, it is incomplete, right? Are there any proofs that formal
systems specifying arithmetic are consistent (and hence incomplete)?
Hal Finney
probabilties,
nondeterministically.
If you want to look through the list archives, we discussed some related
ideas in September and October, 2000,
Hal Finney
necessarily
answer it does not imply that mathematics is unknowable or that there
is no such thing as mathematical knowledge. There may be other reasons
to think so, but it does not follow merely because a given sequence of
words has no consistent analysis.
Hal Finney
which were useful
for predictions in a variety of situations. But in principle, I think
all computable predicate functions would have equal philosophical status.
Hal Finney
be worth your while to invest time in
learning to manage your mail tools, so that in future years you will be
able to handle an increasing flow of information.
Hal Finney
the intermediately sized
atoms together. It might well be difficult to reproduce such combinations
of properties if we had different physical laws.
Hal Finney
would be correct at every point to expect the normal laws
of physics to resume, because enormously more copies of ourselves will
find that to happen than those who find the violations to continue.
Hal Finney
of probability is vanishingly small.
(Magical universes suffer from repeated large-scale violations.)
Going beyond that and asking for consistency between the physics of the
large and the small is really gilding the lily. I don't see what would
motivate you to draw the line there.
Hal Finney
receive them, or receive spontaneously-generated fake
messages (like our discussion earlier today of magical universes).
Therefore the messages can have only an infinitesimal impact on the
evolution of the daughter universes and cannot be considered a meaningful
form of survival.
Hal Finney
survival is extremely small, that you are dead.
Hal Finney
Joao Leao, [EMAIL PROTECTED], writes:
You are quite right in one point, Hal: ...probably a lot of
things!. But you should have written: Certainly
a lot of things, each one with high probability. If you pick
photons rather than, say, flying massive debris, you should
in all honesty, include
.
Hal Finney
, consistency and evolution.
Hal
perspective, the quantum information can
be viewed as piggybacking on this classical information transfer.
This is hard to understand, but it is perhaps less problematic than
alternatives such as information travelling backwards in time.
Hal Finney
a prefix of fixed
size. Therefore the size of minimal programs for any two universal
computers can vary by only a constant, and the UD's determined by these
two computers will similarly agree to within a constant factor.
Hal Finney
P.S. In http://www.escribe.com/science/theory/m3666.html I
observer-moments which come immediately after your current observer-moment
and belong to the same observer.
Hal
in the universe.
RSSA - The Relative Self-Sampling Assumption, which says that you should
consider your next observer-moment to be randomly sampled from among all
observer-moments which come immediately after your current observer-moment
and belong to the same observer.
Hal
and/or
corrections and new definitions.
Hal
SSA - The Self-Sampling Assumption, which says that you should consider
yourself as a randomly sampled observer from among all observers in the
multiverse.
SSSA - The Strong Self-Sampling Assumption, which says that you should
consider this particular observer
. It looks problematic to me.
Hal
: SSA - The Self-Sampling Assumption, which says that you should consider
: yourself as a randomly sampled observer from among all observers in the
: multiverse.
:
: SSSA - The Strong Self-Sampling Assumption, which says that you should
: consider this particular
.
Hal
Hal,
Waht about a definition of Observer-Moment?
That would surely help me...
Thanks,
-Joao
I was mostly sticking to acronyms, otherwise it becomes a FAQ. Doing
observer-moment also requires defining observer. Here is a try at it:
Observer - A subsystem of the multiverse with qualities
. It will be earth shaking news if Bell's
inequality is ever NOT violated.
Hal
the measure of good
outcomes, as nearly as we can judge. I don't think we can neglect it
in these thought experiments.
Hal
Jesse Mazer wrote:
Hal Finney wrote:
Measure is important. It is what guides our life every day.
We constantly make decisions so as to maximize the measure of good
outcomes, as nearly as we can judge. I don't think we can neglect it
in these thought experiments.
What type of measure
. Is it meaningful
for that program to have a concept of the particular computer that is
running this program?
Hal
the perceptual difference will be, but it seems
like there ought to be one.
Hal
-discussed phenomenon of the world, in this scenario.
Just like anything else that happens occasionally to everyone, it would
be perfectly reasonable and rational to have an expectation that it
might happen to you.
Hal
they are in fact compatible with our experimental
results. But to go beyond that and to try to determine which one is
true is, according to the multiverse philosophy, an empty exercise.
All are true; all are instantiated in the multiverse, and we live in
all of them.
Hal
with many observers rather than few? I suppose the answer must be that
there are many universes that have life only evolve once, and very few
that have widespread evolution of life.
Hal
, one could imagine a universe where
you could create a split any time you wanted to, and talk to the other
branch for a short time, enough to be convinced that it is real, before
the two branches are irrevocably separated. That would be the have
you cake and eat it too universe.
Hal
is the fraction of our
experiences in which it occurs.
Hal
in its simple form. It's easy to put words together,
but not all gramatically correct sentences are meaningful.
Hal Finney
. It is indeed disturbing
to see that someone has actually practiced Quantum Suicide, especially
when the particular method used seems unlikely to be successful even
with the assumption of Quantum Immortality.
Hal Finney
physical laws as ours in all regions - except in the vicinity of rabbits?
And in those other regions some other laws applied which allow rabbits
to behave magically?
Hal Finney
-sequential simulation is irrelevant to the question
of the existence of flying rabbit universes and does not shed light
on the issue.
Hal Finney
universes is far greater than the number in the outer
universe.
Based on this reasoning, the likelihood of our being in a second-order
simulated universe is very considerable and can't be ruled out.
Hal Finney
of all universes.
In each case, it seems that intelligent life is terribly uncommon.
Hal Finney
replicator carefully designed as the initial
seed soon self-improved to be even smaller than the human designer had
thought possible.
Hal Finney
the
AUH would have to predict the answer is no.
Hal Finney
into nihilistic horror
and despair.
Hal Finney
arbitrary or random.
Hal
Jesse Mazer wrote:
Hal Finney wrote:
Suppose we sought to construct a consistent history of such a CA system
by first starting with purely random values at each point in space and
time. Now, obviously this arrangement will not satisfy the CA rules.
But then we go through and start modifying
quality and lively discussion group.
Hal Finney
dimensionality, or perhaps one where dimensionality doesn't
even make sense. But I think overall Tegmark does a good job in avoiding
at least the most obvious flaws of parochialism and anthropomorphism.
Hal Finney
possible universes. I don't
think anyone intends this to be taken literally enough that we should
worry about where the energy, matter, time and space come from which
such a computer might need. Whether computation inherently uses energy
or not may doesn't seem that relevant.
Hal Finney
observers, as your example of Life suggests. But just as the existence
of a counting program does not give a typical integer a low complexity,
so the existence of universes that are simple but contain super-rare
life forms should not give those observers a high measure.
Hal Finney
a mapping exists
between the two. I'm hoping to write more about this soon.
Hal
a computation.
Hal Finney
or destroying the stack would
eliminate this property; the stack would no longer contain the
information which would allow shortening the program which would localize
the implementation.
Hal Finney
difference.
Hal
choices have good outcomes. This justifies the necessity
of careful choice and eliminates the descent into nihilistic horror
and despair.
Hal Finney
group selection.
Hal Finney
,
that the probability of two random integers being coprime is 6/pi^2.
I'd imagine that this result would not hold using a universal
distribution. Are these mathematical results fundamentally misguided,
or is this an example where the UD is not the best tool for the job?
Hal Finney
!) in miracles. However this
is actually a reasonable requirement, since we are stipulating that such
miracles have been observed.
Hal Finney
a useful meaning. Maybe we don't have them yet, but it isn't
acceptable to call such a wide range of behaviors rational.
Hal
in the form of the question of stability and thus some
notion of time.
So mathematics and physics based on these ideas seem to share the same
reality.
Hal Ruhl
particles;
and virtual particles can go faster than light, hence can escape from
black holes.
Hal Finney
2002 by Steve Carlip
which lists some immediate problems with the theory.
Hal Finney
In sci.physics.relativity Lawson English [EMAIL PROTECTED] wrote:
Since the push theory is (or can be made) 100% compatible
(corrections welcome) with the more commonly accepted Newtonian
model of gravity
connotation.
Hal
.
But is there a way to test these? Could we make different predictions
on the basis of these assumptions, and then reject one or the other
based on our observations?
Hal Finney
computer.
The Hintikka material you pointed me to is far too imbedded in mathematical
language symbols for me to understand.
Yours
Hal
At 12:03 AM 4/13/2004, you wrote:
Dear Hal,
I will have to think about this for a while. Very interesting. Meanwhile
I ask that you take a look at the game
that mathematics exists without the mathematician.
And since computer science is a branch of mathematics, programs and
program runs exist as well without computers.
Hal Finney
or terminate dances.
I see nothing in the rest of your post that makes my believe there is a
difference of kind between rocks and humans.
Yours
Hal
think, Hal, that we're on a similar
wavelength re. fundamental info physics.
Ref. my previous everything-list posts on the subject:
Snip
I took a quick look. My approach is to forge a system containing no net
information that nevertheless expresses no net information in the form of a
randomly
not?
(...)
I can't speak to this part without understanding better why there is no
difference in behavior whether the class of all sets is assumed to be
the world or not.
Hal
I would like to explore just exactly what the various members of the list
mean by observer as in the following from Wei Dai's post.
Hal
Consider all possible worlds consistent with your memories and current
experiences. In other words, all possible worlds that contain at least one
observer
John Mikes responded:
At 09:17 AM 4/22/2004, you wrote:
Hal,
snip
I consider an 'observer' (unqualified as to 'its' feature-essence)
anything that acknowledges information. A second step, leading
to my substitute definition of the ominous consciousness - rather
pan-sesitivity, a related term
be a randomly changing
percentage. So all interpretations must be able change character i.e. be
subject to an external random oracle the rules of the particular
interpretation notwithstanding.
Hal
worlds lacking interference. The MWI is just the quantum formalism minus
wave function collapse and is therefore perfectly compatible with this
experiment, since the experiment is itself compatible with the quantum
formalism.
Hal Finney
It has been widely accepted that the rival interpretations
you said above. Further I seems to me
that a universe whose rule of state succession reads Completely Random is
informationally self consistent with that rule.
Snip
I would like to resolve the above first.
Hal
to model a selector of a random
sequence of normal reals.
Hal
is also both incomplete and inconsistent.
Hal
not see how one can extract from this any measure re anything which
to me seems reasonable since there should be no information in there anyway.
Hal
Hal
Wei writes:
On Tue, Apr 20, 2004 at 12:42:16PM -0700, Hal Finney wrote:
This is the part which really confuses me. Assigning a prior of 1 would
mean that you are certain that the actual world is the class of all sets.
Assigning a prior of one in a billion would mean that you thought
is what if anything transports along such a sequence?
Hal Ruhl
but rather increases their wavelength.
Hal
At 05:07 PM 5/22/2004, you wrote:
Ron,
It seems most logical, to me anyway, that the Universe is truly infinite
in time and space. Nothing
created it, it will never end, and that is more logical, to me, than
arising from nothingness.
The whole modern concept
of these evolving Somethings will admit being modeled as UD's with
true noise.
Hal
be considered an external - to them - random oracle.
The system that embeds these metaverses - a dual simultaneous existence of
a Nothing and an Everything seems inconsistent and incomplete so its not
Turing computable as I understand the term.
This seems to put my view in conflict with Comp.
Hal
. As our universe gathers more information the area
of its interface with the information in the full system increases so we
get a positive feed back situation - The so called Dark Energy and its
acceleration effect on the expansion.
Hal
in the concepts
of incompleteness and inconsistency.
Hal
401 - 500 of 644 matches
Mail list logo
