> On 27 Feb 2020, at 12:45, Bruce Kellett <[email protected]> wrote:
> 
> On Thu, Feb 27, 2020 at 10:14 PM Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> On 26 Feb 2020, at 23:58, Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
> 
>> From the first person perspective, there is indeterminacy,
> 
> That is the whole point. That is the 1p-indeterminacy I am talking about (and 
> that Clark, and only Clark, has a problem with).
> 
>> but no sensible assignment of probabilities is possible.
> 
> And you are right on this, in any “real case scenario”, but that is for the 
> next steps.
> 
> 
> And in the theoretical analysis. I am glad that you acknowledge that there is 
> no useful concept of probability in this WM-duplication scenario.

Yes, the key point is that in Helsinki, the “W v M” is a certainty (modulo the 
protocole knowledge), and the “W” and “M” prediction is refuted. That’s the 
first person indeterminacy, and probability is used mainly as a pedagogical 
tool to understand it.



> 
> 
> A probability is never observed, but evaluated, using some theory. In the 
> finite case, the numerical identity suggest the usual binomial, and this is 
> easy to verify for simple scenario.
> 
> Yes, it is binomial because there are only two possible outcomes. But 
> binomial without any specification of a probability for 'success’.

We can decide that W is success, and M is failure. (Hoping this is not seen as 
politically biased!). Then the self-duplication is a repeated Bernoulli 
experiences.



> 
> 
> All what is used is the fact that you are maximally ignorant on the brand of 
> coffee, and thus on the city you will see. Maximal ignorance is just modelled 
> by P = 1/2 traditionally, but that is not important, as the math will show 
> that we have no probabilities, but a quantum credibility measure.
> 
> 
> That is probably what all this argument is actually about -- the maths show 
> that there are no probabilities.

I am not sure the math shows that. We will lost “easy probability distribution” 
in the real case (in “front” of a universal dovetailing), but the P = 1/2 
remains consistent in the (irrealist) simple duplication of the thought 
experience.



> 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.

Not from the first person point of view, where Gleason theorem assure the 
existence of a unique probability measure, and indeed it is the one given by 
the square law.



> 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.

May be, but the derivation has to be done in arithmetic, and there it works. I 
am not following Deutsch and Wallace. I got that probability and many-histories 
interpretation of arithmetic well before discovering that physicists were 
already there.




> 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.

I don’t see this, or I see this for any choice of probability in any 
statistical analysis. It is irrational to expect  “Space-Odyssey with Tibetan 
subtile” from the big "2^(16180 * 10000) * (60 * 90) * 24” multiplication 
experiences. 

Bruno



> 
> Bruce
> 
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