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The aim of a theory in empirical science is not to be "mathematically correct" and it is unclear what you would even mean by something like that. What matters is if the theory makes correct predictions or not.JohnNemo said:you are defining “classical limit” as meaning “that part of Newton’s theory which is approximately mathematically correct”
Also, "approximately" and "mathematically correct" would typically not be two words that mathematicians would like to string together in a sentence. That 2 = 2.000123 is not approximately mathematically correct, it is wrong.