Jesse Mazer wrote:
George Levy wrote:
Jesse Mazer wrote:
Bruno Marchal wrote:
we are "conscious" only because we belong to a continuum of
infinite never ending stories ...
...that's what the lobian machine's "guardian angel" G* says
about that: true and strictly unbelievable.
Since you agree that the number of histories is on a continuum, you
must accept that no matter how large or small a segment of the
continuum is considered, the number of histories is the same. Hence
measure is the same for any observer.
The whole concept of "measure" is based on assigning different
probabilities to different infinite sets--the fact that two sets
have the same cardinality doesn't imply they must have the same
measure. For example, any continuous probability distribution used
in statistics (the bell curve, for example) can be used to assign a
measure to an arbitrary finite interval (which necessarily contains
an infinite number of points), the measure just being the area under
the curve over that interval.
Jesse I agree with you from the third person perspective. You can
only take a measure of infinite sets when you have more then one set
. In other words you need at least two sets so you can compare them.
However in the case of first person perspective, the observer has
only his own set. All he has is the cardinality of the set and he has
only one set. No other set to compare it to. The cardinality is the
same for all first person observers.
But if you have one set with an infinite number of elements, you can
assign different measures to different infinite subsets of that set.
And weren't you talking about an infinite "number of histories" above?
the infinite number of histories refer to the continuum of histories.
The first person observer can only perceive through his own experiments
that physics in his own world, provides a infinite number of histories
as large as the continuum. All he knows is that his own history is
embedded in a continuum of histories.
- Re: Quantum Immortality and Information Flow George Levy