On Thu, Feb 26, 2015 at 5:57 PM, meekerdb <[email protected]> wrote:

>  On 2/26/2015 3:16 PM, LizR wrote:
>
>  On 27 February 2015 at 10:01, meekerdb <[email protected]> wrote:
>
>>   MWI predicts the same as QM+collapse.
>>
>> Only because it assumes the Born rule applies to give a probability
>> interpretation to the density matrix.  But Everettista's either ignore the
>> need for the Born rule or they suppose it can be derived from the SWE
>> (although all attempts have fallen short).
>>
>>  This is an important point. Do *any* interpretations explain the Born
> rule? If so, that would be a reason to prefer them to the MWI.
>
>
> Gleason's theorem says the Born rule is the only consistent way to assign
> probabilities to states in Hilbert space (showing Born had good intuition).
>

So then the mystery of the Born rule is solved. I don't see why/how adding
collapse solves anything.



> So if you can justify placing a measure on the multiple worlds it has to
> be Born's rule.  The problem seems to be that branch counting doesn't make
> sense unless the number of branches are infinite.
>

Why is that?


>   But if they're infinite it's not clear how to define the measure.
>

Why is that?

Does the size of the infinity matter?


> Perhaps taking the limit of branch counting as the number of UD threads
> goes to infinity would work, but that seems non-Platonic since it would
> rely the threads coming into existence as on a concrete UD.
>
> This is separate (I think) from the basis problem.  Under a
> computationalist theory of mind it would seem that you need to define bases
> with eigenvectors like, "I see the needle pointing up."  But we only know
> (approximately) how to define eigenvectors for the needle.
>

Would it be equivalent to the eigenvector of the needle pointing up and you
looking at it?

Jason

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