From a debate with a relativist:
Perhaps you have some bizarre definitions of “false” and “correct” then. There is always a more precise way to calculate something - this can be done ad infinitum. Someday another genius may find a better way to calculate relativistic stuff and “correct” Einstein. That doesn’t mean the theory of relativity is false.
To claim that the Newtonian theory is false because its calculations can be improved is absurd. “False” means “does not correspond to reality”. The statement “Newtonian calculations are correct with a given degree of precision” does correspond to reality, and therefore the Newtonian theory is correct in this sense.