On Thu, 5 Mar 2020 at 08:54, Bruce Kellett <[email protected]> wrote:

> On Wed, Mar 4, 2020 at 11:01 PM Stathis Papaioannou <[email protected]>
> wrote:
>
>> 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.
>>
>
> 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.
>

And as I said, probabilities derived from self-locating uncertainty is, for
many people, trivially obvious, just a special case of frequentist
inference.

> --
Stathis Papaioannou

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