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...
Put more simply, "how do I know if the frame of reference I'm using for
measurements is inertial?", I have to know this before (and independently)
to decide if a measured acceleration indicates a force that passes your
acid test or not.
I can certainly say, my frame of reference is inertial with respect to the
star frame (let's rather say the far away galaxy frame); but that doesn't
resolve the question, as I don't know if the far away galaxy frame is truly
inertial or not.
It strikes me that Bowman's attitude towards forces makes the need for this
knowledge moot.
Joel Rauber