On Fri, 28 Feb 2020 at 08:40, Bruce Kellett <[email protected]> wrote:

> 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.)
>

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.

> --
Stathis Papaioannou

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