Le 18-avr.-05, ā 04:13, printmodel a écrit :

Has anyone on the list experienced personal elevations into

one or more of these parallel universes, I have and would like to exchange info

mechanically (even allowing infinite resources) generate a world.<

JC: Hmmm..but then if such worlds are not effective objects, how...snip...that this is incorrect. Can you show why it is incorrect? Thanks, Norman Samish ~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Well, I was elaborating on Bruno's statement that worlds ("maximal

consistent set of propositions") of a FS are not computable; that even given

infinite resources (ie. infinite time) it is not possible to generate a

"complete" world. This suggests to me that it is *not* the case that given

infinite time, eveything that can happen must happen. I must admit this is

not my area of expertise; but it seems to me that the only other option of

defining a world (identifying it with the FS itself) will, by Godel's

incompleteness theorem, necessitate that there exist unprovable true

propositions of world; the world will be incomplete, so again, not

everything that can happen will happen.

Bruno?

Jonathan Colvin

I would say that by definition worlds are complete. For example you could identify

a world with the collection of all true propositions in that world. Gödel's incompleteness

applies to theories, FS, or machine trying to talk on the world(s).

Everything that can happen *to a machine" does happen *to some machine* in the

precise sense that the Universal Dovetailer (the "splashed" UTM) generate all "machine

dreams (computation seen from the 1-pov)". "physical "realities emerge from coherence

condition related to the mathematical structure of "all computations + 1-pov.

I would say that by definition worlds are complete. For example you could identify

a world with the collection of all true propositions in that world. Gödel's incompleteness

applies to theories, FS, or machine trying to talk on the world(s).

Everything that can happen *to a machine" does happen *to some machine* in the

precise sense that the Universal Dovetailer (the "splashed" UTM) generate all "machine

dreams (computation seen from the 1-pov)". "physical "realities emerge from coherence

condition related to the mathematical structure of "all computations + 1-pov.

Bruno

http://iridia.ulb.ac.be/~marchal/