On Fri, Feb 28, 2020 at 4:21 AM 'Brent Meeker' via Everything List <
[email protected]> 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.)

Bruce

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