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
> 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.
> 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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