Comment Re:Does mass matter? (Score 1) 120
The second issue is domain. At the time of newton nothing moved very fast, so no one apparently thought to 'for slow moving objects' to the theory. Therefore there was no limit to how fast things could go. Einstien added the limit to how fast things could go, making Newtonian mechanics a good approximation for slow moving objects, but still incorrect overall. As Newton had no concept of the speed of light as a limiting factor, and separated the concept of waves and matter, there again is no reasonable basis to retcon classical mechanics.
It is interesting that people fixate on relativity. Like any other modern theory it value is in what new phenomena is can predict that can then be verified. I am somewhat part of the class of physics people that rolls my eyes when people start taking about how great Einstein is and feel justified because after all, when they gave him the noble prize for the photoelectric effect, which was a clever experiment but proved nothing, they also included a grave insult by calling what he did epistemology, and after all it only indicated that the Photon might not be just a particle or a wave. I believe it was the Michaelson-Morley experiment did a much better job of leading us to wave-particle duality, along with the work of Max Plank.
In any case, Newton also left us with another problem. The mathematical distinction between gravitational and inertial mass. These two were never well connected even though they appeared to be the same thing. Einstein kind of circumvented the whole thing with his geometry interpretation. Again, Newton is correct in the interpretation.
I think where the teaching of Relativity fails is that it focuses too much on trains, rulers, and clock because those were things that existed in 1900 and we like to think that history will make things more concrete and acceptable to the student. But arguably Relativity is about whether it makes a difference if you are moving past the magnet or if the magnet is moving past you. Is a deeper concept, but maybe we should try to teach the deep concept instead of just focusing on the mathematical manipulations.