On Wed, Feb 19, 2020 at 12:05 AM Bruno Marchal <[email protected]> wrote:

> On 18 Feb 2020, at 02:37, Bruce Kellett <[email protected]> wrote:
>
>
> And if the probabilities are to be objective
>
>
> They have to be at least first person plural.
>

'Objective', as I use the word here, means 'interpersonally agreed'. In
your terminology, that would be 1pp since there is no 3p in many-worlds.

We should be able to make bet. But that is the case if instead of
> duplicating the H-guy, you duplicate the H-Guy + the person (the witness)
> with whom he make a bet. In that case, if you bet “W”, and the witness bet
> “M" then in W you win the bet, and in M you lost the bet. In the irate
> case, you recover the idea that by using the Pascal Triangle, you can
> maximise your benefits, and this shows that we can use the Dutch Argument
> to define some probabilities in simple duplication scenario (to be sure,
> the real case will be in arithmetic where such simple case scenario can be
> shown to never occur, and that is why the math is a bit more sophisticated
> there).
>

If I understand you here, I think this is wrong. In the iterated case, the
1pp probabilities are those calculated on each branch, and they are all
valid -- there is no 3p view (God's-eye-view) to contradict them. In the WM
duplication, then the copies are able to meet and compare diaries, so
things are different, but  I am interest in the Many-worlds case, not
classical single-world duplication.

Bruce

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