On 9/13/2024 12:18 AM, Quentin Anciaux wrote:
Le ven. 13 sept. 2024, 09:04, Bruce Kellett <[email protected]> a écrit :On Fri, Sep 13, 2024 at 4:51 PM Stathis Papaioannou <[email protected]> wrote: On Fri, 13 Sept 2024 at 15:08, Bruce Kellett <[email protected]> wrote: On Fri, Sep 13, 2024 at 1:07 PM Liz R <[email protected]> wrote: I don't think that works. The idea often put forward is something along the lines of self-locating uncertainty -- out of all the branches, which one am I on? But that is only apparent randomness, and to get such an idea to work, you need to be able to make a random choice between branches. Such randomness will be intrinsic in that It doesn't come from anywhere else (it is not already part of the theory). So in order to generate such apparent randomness you actually need an independent source of intrinsic randomness (to be able to make your self-locating choice.) The intrinsic randomness arises from the fact that it is impossible to predict which branch you will end up in, even for an omniscient being. That is just a restatement of the traditional measurement problem. Self-locating uncertainty is not intrinsic randomness. What is it that selects which branch you are actually on? You need some means of random selection which is not included in the underlying theory. You have to add, by hand, some additional principle of randomness, such as the Born Rule.Could be the lenght of the program going through that state using a frequency sampling, shortest program going through that state have higher measure... the dovetailer run "more often" short programs than longer one
That would provide relative measures, but then under the assumption of /probabilistic/ selection. I doubt you could make them match the Born rule.
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