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
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
@philipthrift
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