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N1: There exist inertial frames. The test for an inertial frame is that
an object that is not acted upon by a force is not accelerated.
Comment: This leaves the notion of force undefined. It also insures
that N1 is independent of N2.
N2: F=dp/dt
Comment: The 4 forces of nature are given. N2 then permits one to
measure mass (definition of mass). Otherwise, N2 is empty because
force and mass are defined in terms of each other.
N3: Any part of a system may be analyzed in isolation, using N2, replacing the
remainder of the system by the forces exerted by that remainder.
Comment: N3 is just a computational device.