On 3/4/2020 1:54 PM, Bruce Kellett wrote:
On Wed, Mar 4, 2020 at 11:01 PM Stathis Papaioannou
<stath...@gmail.com <mailto:stath...@gmail.com>> wrote:
On Fri, 28 Feb 2020 at 08:40, Bruce Kellett <bhkellet...@gmail.com
<mailto:bhkellet...@gmail.com>> wrote:
On Fri, Feb 28, 2020 at 4:21 AM 'Brent Meeker' via Everything
List <everything-list@googlegroups.com
<mailto:everything-list@googlegroups.com>> wrote:
On 2/27/2020 3:45 AM, Bruce Kellett wrote:
That is probably what all this argument is actually about
-- the maths show that there are no probabilities.
Because there are no unique probabilities in the
classical duplication case, the concept of probability
has been shown to be inadmissible in the deterministic
(Everettian) quantum case. The appeal by people like
Deutsch and Wallace to betting quotients, or quantum
credibility measures, are just ways of forcing a
probabilistic interpretation on to quantum mechanics by
hand -- they are not derivations of probability from
within the deterministic theory. There are no
probabilities in the deterministic theory, even from the
1p perspective, because the data are consistent with any
prior assignment of a probability measure.
The probability enters from the self-location uncertainty;
which is other terms is saying: Assume each branch has the
same probability (or some weighting) for you being in that
branch. Then that is the probability that you have
observed the sequence of events that define that branch.
I think that is Sean Carroll's approach. I am uncertain as to
whether this really works or not. The concept of a 'weight' or
'thickness' for each branch is difficult to reconcile with the
first-person experience of probability: which is obtained
within the branch, so is independent of any overall 'weight'.
But that aside, self-locating uncertainty is just another idea
imposed on quantum mechanics and, like decision-theoretic
ideas, it is without theoretical foundation -- it is just
imposed by fiat on a deterministic theory. It makes
probability a subjective notion imposed on a theory that is
supposedly objective: there is an objective probability that a
radioactive nucleus will decay in a certain time period --
independent of our subjective impressions, or self-location.
(I can develop this thought further, if required, but I think
it shows Sean's approach to fail.)
Probability derived from self-locating uncertainty is an idea
independent of any particular physics. It is also independent of
any theory of consciousness, since we can imagine a non-conscious
observer reasoning in the same way. To some people it seems
trivially obvious, to others it seems very strange. I don’t know
if which group one falls into correlates with any other beliefs or
attitudes.
As I said, self-locating uncertainty is just another idea imposed on
the quantum formalism without any real theoretical foundation -- "it
is just imposed by fiat on a deterministic theory." If nothing else,
this shows that Carroll's claim that Everett is just "plain-vanilla"
quantum mechanics, without any additional assumptions, is a load of
self-deluded hogwash.
Whether MWI is a satisfactory interpretation or not; do you have a
preferred proposal for getting rid of the unobserved macroscopic states
that are predicted by the formalism with a collapse postulate, e.g.
gravitationally induced collapse, transactional interpretation, or what?
Brent
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