> The considerations trying to solve the measure problem have not been
> that primitive, but much better. The concept of a cubic meter won't
> make sense in most of the universes, and to compare infinities in a
> rigorous manner is nothing new to mathematicians. Both, Standish and
> Schmidhuber (and surely others, too) have given well-advised attempts
> to solve the problem.

Maybe you're right; I've tried to wade through the archives, searching
on "measure problem", but may have missed some key things.

If we look at other (concrete, complete) proposals, I'm interested in
what answers they give for:

1. How do you calculate the probability of your next observation,
based on your current mental state?

2. What is the measure/probability of observers, or of OM's? This is
necessary for moral calculations, you need to be able to say what
other observers are experiencing in the state of the universe that
will result from your actions! Related: how do we calculate the answer
to self-indication puzzles, like SIA vs. SSA?

3. Why do we live in a Goldilocks universe rather than a Harry Potter
universe or a blackbody universe?

UDASSA (if I'm interpreting it right, Hal?) says:

1. The measure of programs that produce OM ("I am experiencing A, and
I remember my previous experience as B") as its single output,
compared to the measure of programs that produce OM ("I am not
experiencing A, and I remember my previous experience as B") as its
single output, is what we perceive as "the likelihood of A following
B, rather than A not following B."

2. The measure of an OM is the measure of the programs that produce
OM.

3. "(...) the biggest contribution to the measure of observers (and
observer-moments) like our own will arise from programs which
conceptually have two parts. The first part creates a universe similar
to the one we see where the observers evolve, and the second part
selects the observer for output."

-Rolf


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