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I think I have to disagree here. I do agree that we cannot question everything, but we do owe it to the students to understand that there *are* deep philosophical questions even in something so elementary as the meaning of g, and although they may not be able to fathom the answers to these questions, such as they may be, but at least they can, even in their state of relative ignorance, appreciate what they are, and more important, that they exist, and that physics, even at the introductory level, is not a closed subject.
2) The question arises whether the inertial/gravitational distinction
should be emphasized in intro physics courses.
I say no. There isn't enough time in the day for everybody to question
everything. IMHO it would make /more/ sense to do away with [2] and [3]
than to do away with [1] in an introductory class. That is, it would
make more sense to do away with F=ma and use fully-relativistic dynamics,
and do away with F=GmM/r^2 and use general relativity instead ... while
leaving questions about the equivalence principle for another day.