On Sat, Nov 30, 2024 at 03:55:08PM -0500, John Clark wrote:
> On Fri, Nov 29, 2024 at 10:10 AM smitra <[email protected]> wrote:
> 
> 
>     > What is also worthwhile to consider in these discussions about
>     probability,
>      Born rule etc. the fact that probability cannot be rigorously defined in 
> a
>     physical 
>      context  as David Deutsch explains here
>     https://www.youtube.com/watch?v=wfzSE4Hoxbc&t=1036s
> 
> 
> Interesting video, thank you for recommending it. I think Deutsch does a good
> job highlighting the fact that any theory that attempts to deal with
> fundamental reality is going to have a problem when it comes to probability,
> but if Many Worlds has a problem rigorously defining probability then the 
> other
> fundamental quantum interpretations do it even more poorly. And if Many Worlds
> is true, or nearly so, and if intelligent creatures who enjoy gambling exist 
> in
> some of those worlds, then they are going to develop something close to the
> thing that in English is called "probability" and they are not going to worry
> very much about a rigorous definition of it or the deep philosophical problems
> that it may entail.  
> 
>    John K Clark    See what's on my new list at  Extropolis
> lad
> 

Agreed - this is an interesting presentation, and getting a deeper
understanding of his Constructor theory is on my TODO list.

I might point out that in this lecture, he jumps immediately from the
case of two equal possibilities 1/√2 |x₁>+1/√2|x₂>, where he
eliminates Born rule, probabilities etc to get directly to a decision
theoretic interpretation, to eliminating those tools in general for
the whole gamut of probability theory application. It needs to be done
for more general superpositions α|x₁>+β|x₂>, and I suspect the devil
is in the details there. Most of the simplistic "branch counting"
interpretations fail on that case. Hopefully, it has been done, and he
was resorting to the simplistic case for pedagogical purposes...

Since in my own work, I start from a notion of information (and
complexity), which is intrinsically probabilistic, I'd like to see how
constructor theory might rebase that subject. Again, the topic is way
more complex than can be presented in such a 1 hour seminar.

Hopefully, I'll find the time to dig into this topic in the next few years...:P.

-- 

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