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The concept of force mainly arises from the subjective experience
of pushes and pulls.
The awareness of acceleration is not subjective.
Force is measurable.
Acceleration is measurable.
I don't consider one more subjective than the other.
Therefore since we have to proceed from known to the unknown,
force causes acceleration is only thing that is understandable and
not vice versa.
We can know force without acceleration, by observing the extension of a
calibrated spring. This is the usual starting point for a pedagogical
operational definition of force. There is nothing subjective about it.
Is it common to tell students that force must be understood in terms of
acceleration? I wasn't taught that way, and until this moment it never
occurred to me that anyone might teach that.
Also note that the direction mentioned above (from allegedly more known
acceleration to allegedly less known force) suggests that acceleration
comes before force, i.e. that acceleration causes force, which is
diametrically
opposite to the point that was being advocated.