On 9/7/2015 3:11 PM, Stathis Papaioannou wrote:


On Tuesday, September 8, 2015, Brent Meeker <[email protected] <mailto:[email protected]>> wrote:



    On 9/6/2015 10:49 PM, Stathis Papaioannou wrote:


    On Monday, September 7, 2015, Brent Meeker <[email protected]
    <javascript:_e(%7B%7D,'cvml','[email protected]');>> wrote:



        On 9/6/2015 7:20 PM, Jason Resch wrote:


        On Sun, Sep 6, 2015 at 8:23 PM, Brent Meeker
        <[email protected]
        <javascript:_e(%7B%7D,'cvml','[email protected]');>> wrote:

            $2, because you can just say "Monday" each time you're
            asked.  It has nothing to do with probabilities.  It's a
            good analogue of the MWI problem; when everything is
            deterministic and everything happens there's no
            objective measure.


        There are many "interpretations" of prboability:
        https://en.wikipedia.org/wiki/Probability_interpretations

        I think the thought experiment I describe is an example of
        probability under the "frequentist" definition.

        No, there's no randomness in it.  There's no distribution to
        approximate in repeated trials.


    It's the same kind of randomness that emerges from multiverse
    theories.

    Right, a kind which doesn't (in most models) have a probability
    interpretation because there's no clear measure.

    You presumably estimate probabilities in everyday life, and
    generally it serves you well.

    Sure,  I make subjective estimates by hypothesizing some ensemble
    of possibilities with a measure on it - but I don't infer from
    this that all those hypotheticals really happen or that the
    probability I come up with is an objective fact about the world.


But can you infer something about the nature of the world from the fact that probabilities seem to be useful?

Sure, I infer that my hypothetical measure, or the model I used to to generate it, may have to some grain of truth, some generality beyond the special case.

Brent

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