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Part I
...
I think it will be helpful to restart the discussion and hopefully narrow it
down in a slow methodical fashion to the pertinent points.
... regarding how to
interpret Newton's 2nd Law; (F = m*a for short.)
This immediately means we are using a Newtonian paradigm...
It strikes me that this is also a discussion about the foundations of...
mechanics and is therefore epistemological in origin and therefore of little
consequence.
For part II, I wish to restrict the discussion to equilibrium measurements
of force and whether or not they avoid acceleration measurements (in the
context of Newtonian Physics).