Just a quibble or two here. First, mathematics as it is done by mathematicians is frequently ambiguous. That is because the purely symbolic representation is too unwieldy to actually use in practice. So, while we do attempt to minimize the ambiguities, the re-use of terminology is present in math, just like it is in ordinary languages.In fact? The only real strictly formalized, zero ambiguity languages that humans engage in?
Is mathematics: the completely artificial and symbolic representation of mathematical principles.
Alas, it's nearly impossible to communicate **emotional** content, just using maths...
Second, mathematics conveys little content until a correspondence between the symbols and observation is set up. And that is the realm of physics. mathematics and logic are both more abstract and allow more variation than most people realize.
Like I said, merely a quibble.