On Wednesday, April 27, 2022 at 4:12:12 AM UTC+3 Bruce wrote:

> The distinctive feature of Everettian Many worlds theory is that every 
> possible outcome is realized on every trial. I don't think that you have 
> absorbed the full significance of this revolutionary idea. There is no 
> classical analogue of this behaviour, which is why your lottery example is 
> irrelevant.


I make no comments on the lottery example, because I would need to 
understand it better, and I have too little time now. But I may suprprise 
you with a parallel from pre-QM philosophical work on the interpretation of 
probability. Cournot's Principle claims that probabilities have no 
interpretation, no relevance to our lives, unless they are close enough to 
0 or 1, "enough" depending on the practical purpose. Before one screams 
"this is crazy", he had better look at the appeal of this idea among the 
most prominent students of these matters in the 20th century. However, what 
little work has been done on a decision theory conforming to this principle 
is patently inadequate, IMO, and this, I think, is the reason for its 
current obscurity. The decision theory I have started for MWI will work for 
Cournot's Principle, too.

If one cares for references, search for "Glenn Shafer" and "Cournot's 
Principle", especially the papers titled
- Why did Cournot’s principle disappear?
- That's what all the old guys said
- A Betting Interpretation for Probabilities and Dempster-Shafer Degrees of 
Belief

[...]  I spelled out the sequences that Everett implies in my earlier 
> response. These clearly must have equal probability -- that is what the 
> theory requires. It is not an assumption on my part -- it is a 
> consequence of Everett's basic idea.


I have already expressed disagreement, as a technical matter. I am not 
certain where the misunderstanding lies, but I suspect it is in presuming 
equal probabilities derived from sheer ignorance, as at least one other 
contributor claims. If you really insist on this opinion, it should be 
discussed in a separate conversation -- appealing to your "logical and 
mathematical skills", as you say.

George K.

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