On 12 Oct 2013, at 01:05, Pierz wrote:
On Saturday, October 12, 2013 5:42:06 AM UTC+11, Brent wrote:
On 10/11/2013 4:16 AM, Pierz wrote:
And just to follow up on that, there are still an infinite number
of irrational numbers between 0 and 0.00001. But not as large an
infinity as those between 0.00001 and 1.
No, the two are exactly the same uncountable infinity, because there
is a 1-to-1 mapping between them.
My mathematical terminology may not be up to scratch. The measure is
different.
So extrapolating to universes, the very low probability, white
rabbit universes also occur an infinite number of times, but that
does not make them equally as likely as the universes which behave
as we would classically expect.
But computationalism only produces rational numbers.
We were talking MWI, where a measure is permitted because of the
underlying physical continuum. It does seem that the measure problem
is an open one for comp, as far as I can tell from Bruno's
responses, but he seems confident it's not insurmountable. I'm not
competent to judge.
The comp measure problem *is* the same problem as deriving physics
from comp. It is *the* problem.
The apparition of a quantum-like quantization in the material
hypostases gives much hopes indeed.
Bruno
Brent
On Friday, October 11, 2013 10:04:40 PM UTC+11, Liz R wrote:
If you subdivide a continuum, I assume you can do so in a way that
gives the required probabilities. For example if the part of the
multiverse that is involved in performing a quantum measurement
with a 50-50 chance of either outcome is represented by the numbers
0 to 1, you can divide those into 0-0.5 and 0.5 to 1. Doesn't David
do something like this in FOR? (Or is this too plistic?)
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