On 11/17/2019 11:39 PM, Philip Thrift wrote:


On Sunday, November 17, 2019 at 11:23:29 PM UTC-6, Brent wrote:



    On 11/17/2019 2:47 PM, Philip Thrift wrote:


    On Sunday, November 17, 2019 at 4:36:13 PM UTC-6, Brent wrote:



        On 11/16/2019 11:39 PM, Philip Thrift wrote:


        On Saturday, November 16, 2019 at 4:45:56 PM UTC-6, Brent
        wrote:



            On 11/16/2019 2:38 PM, Philip Thrift wrote:


            On Saturday, November 16, 2019 at 10:54:06 AM UTC-6,
            Brent wrote:

                The epistemic interpretation just says the wf is
                our mathematical representation of what we know
                about reality.


            If that is the definition of epistemic, then any
            mathematical physics is epistemic ("ur mathematical
            representation of what we know"):

            It is the definition of epistemic.  And it is in
            contrast to the ontic interpretation of QM which says
            that the wave function is real and changing it due to a
            measurement must be described a some physical process,
            not just taking the measurement into account to update
            our knowledge.

            Brent



        From an applied mathematics perspective, it seems that
        *Schrödinger equation*, *Einstein equations*, *Maxwell's
        equations*, ... are all tools for making predictions about
        measurements, whether those measurements are made by lab
        instruments or telescopes.

        I don't see where a philosophically metaphysical and
        esoteric term like "knowledge" comes in in any of those
        equations.

        It comes into QM because it's probabilistic.  If you wrote
        Maxwell's equations for the field produced by charged
        particles whose position was only given by a probability
        density function you would get a probabilistic prediction and
        when you measured the field at a few points and got definite
        answers, you would change you prediction of the field so that
        it matched the measurements at those points.  Your knowledge
        of the field would still not be definite but it would have
        changed due to the measurement. Schrodinger's equation only
        predicts probabilistic measurement results, so it's always
        like that.

        Brent




    Just because one formulates stochastic vs. deterministic models
    doesn't mean "knowledge" has any special place in one type vs.
    the other,

    I took a course in stochastic differential equations

    https://en.wikipedia.org/wiki/Stochastic_differential_equation
    <https://en.wikipedia.org/wiki/Stochastic_differential_equation>

    and I don't think the philosophical subject of "knowledge" came
    up in any special way vs. the subject of (deterministic)
    differential equations.

    Then there was something that changed when you got a measurement,
    whatever you called it.  Maybe the Bayesian estimated density
    function.

    Brent



Stochastic modeling has nothing (in general) to do with Bayesian modeling. (Though the latter of course can be considered a special case of the former.) And quantum mechanics works fine as a stochastic model without ever introducing Bayesian probability densities.

You avoided the point that when you get a measurement result to you change something.  You denied it was knowledge.  So what is it?

Brent

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