On Oct 11, 2013, at 9:06 AM, Bruno Marchal <[email protected]> wrote:
On 11 Oct 2013, at 13:16, 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.
It is the same cardinal (2^aleph_zero). But cardinality is not what
count when searching a measure.
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.
That is what remain to be seen. But if comp is true, we know the
measure has to exist, and the math gives some clues that it is
indeed the case, from machines' (consistent and/or true) points of
view.
Bruno,
Could the matter of the countably infinite number of programs be
irrelevant from the first person perspective because any given mind
contains/is aware of only a finite amount of information?
Say some mind contains a million bits of information. Then there is a
finite number (2^1000000) of distinct combinations of content for that
mind. These differations are all that matter from the first person
view, and some may be more probable than others.
(But deciding the measures for each of those finite number of
possibilities depends on infinite computations, and so would they be
real numbers?)
Jason
Bruno
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 simplistic?)
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