Re: The probability problem in Everettian quantum mechanics

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On 12 Oct 2013, at 01:05, Pierz wrote:```
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On Saturday, October 12, 2013 5:42:06 AM UTC+11, Brent wrote:
On 10/11/2013 4:16 AM, Pierz wrote:
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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.
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No, the two are exactly the same uncountable infinity, because there is a 1-to-1 mapping between them.
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My mathematical terminology may not be up to scratch. The measure is different.
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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.
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But computationalism only produces rational numbers.

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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.
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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.
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Bruno

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Brent

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On Friday, October 11, 2013 10:04:40 PM UTC+11, Liz R wrote:
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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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