On 11 Oct 2013, at 19:07, meekerdb wrote:

On 10/11/2013 2:28 AM, Russell Standish wrote:
On Thu, Oct 10, 2013 at 06:25:45PM -0700, meekerdb wrote:
So there are infinitely many identical universes preceding a
measurement.  How are these universes distinct from one another?
Do they divide into two infinite subsets on a binary measurement, or
do infinitely many come into existence in order that some
branch-counting measure produces the right proportion?  Do you not
see any problems with assigning a measure to infinite countable
subsets (are there more even numbers that square numbers?).
But infinite subsets in question will contain an uncountable number of
elements.

I don't think being uncountable makes it any easier unless they form a continuum, which I don't think they do. I QM an underlying continuum (spacetime) is assumed, but not in Bruno's theory.

There is necessarily a continuum in comp, because the UD is so dumb as making interacting all programs (rich enough) with a dovetailing on the real, complex, quanternions, octonions, etc.

Very plausibly, the winning universal numbers exploit this, with the algbraic measure structure (imposed by self-reference constraints) to multiply enough the first person views.

I would not have believe myself in this without the QM empirical evidences. Without QM, I would probably not find comp plausible at all.

Bruno





Brent

That is why I'm not sure that problems with assigning
measures to countably infinite sets (such as your example above re
even and square numbers) are really such a problem.



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