On 10/11/2013 7:52 PM, Russell Standish wrote:
On Fri, Oct 11, 2013 at 05:46:57PM -0700, meekerdb wrote:
On 10/11/2013 4:36 PM, Russell Standish wrote:
On Fri, Oct 11, 2013 at 04:08:05PM -0700, meekerdb wrote:
Maybe I'm not clear on what UD* means.  I took it to be, at a given
state of the UD, the last bit output by the 1st prog, the last bit
output by the 2nd program,...up to the last prog that the UD has
started.  Right?

Its not the output, because the UD doesn't actually output
anything. Rather its an internal view of the states the machines
emulated by the UD pass through, rather like what the Helsinki man
experiences when being duplicated to Moscow and Washington.

Its a subtle point, and I fell into the same trap you did (and Liz did
also, this morning) a few years ago. I'm not sure anyone has a clear,
crisp mathematical explanation of what UD* is - I certainly don't.
Even if we have the complete record of everything the UD has done up
to some point I don't see how we can define the kind of measure we
need over that, because the measure has to be over all threads of
computation corresponding to a particular classical state.

And these correspond to a countable union of sets of strings sharing
the same prefix, which is just the Solomonoff-Levin measure.

But there are infinitely more threads going thru (near) this state which have not yet been computed. So the threads counted up to some point are of zero measure. ?


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