Tom,
""The point is that m=F/a does not define mass. Whereas, f=ma does define force.""
"James, they are the same equation. It's as if one were to say, "See Spot run," or "Spot is seen running.""
Tom, This is basic physics. You do not know basic physics. You have to know it. Mass is an indefinable property. Force is a defined property. You respond with this See Spot nonsense! If you don't want to know this then ignore it, but, don't respond as if I am being stupid. Read it in a physics book and then attack the authors for being stupid. Start with Sears and Zemansky. Write a paper exposing their error. Be sure to include your winning point about "See Spot run".
""Force and mass are not properties in which empirical evidence is expressed. They are inferred to exist by empirical evidence, but, the empirical evidence is acceleration and its properties are just distance and time.""
"Not really. Acceleration is measured in terms of space (the slope of a curve), while time is measured by marks on a straight line. It's the combination of line and curve that gives us a measure of acceleration, but we never "see" it. And we experience acceleration only relatively -- all motion is relative. In fact, as Einstein explained, in a closed elevator in deep space away from a gravity source, one could not distinguish the acceleration of the floor of the elevator pushing up against one's feet, from gravity pulling down."
"There is no empirical evidence for acceleration."
Ok, This then is for other readers: We receive all information in the form of photons. Photons deliver information about the acceleration of particles. We receive only information about the accelerations of particles. The received information then causes acceleration of particles. The information we learn from is acceleration.
We can distinguish between acceleration and gravity. The Einstein example demonstrates deliberate disregard for evidence. The elevator is closed because the evidence of sight refutes Einstein's claim. Also, we can tell the difference even with the elevator being closed. The force pushing the person upward will cause distortion for the length of their body that is consistent with constant force. The gravity field will cause bodily distortion that decreases with height.
James Putnam