There seems to be no systematic introduction to mathematics in ancient China, so arithmetic and arithmetic should be closer to mathematics.
In addition, the branch of geometry in ancient China was not called "geometry" but "metaphysics". The word "geometry" is not a proper mathematical term in Chinese, but a function word, meaning "how much". For example, during the Three Kingdoms period, Cao Cao's famous sentence "Although I return to life" has two sentences: "When drinking, what is life like?" What does "geometry" mean here? So, who first used the word "geometry" as a technical term of mathematics and used it to refer to this branch of mathematics? This is Xu Guangqi, an outstanding scientist in the late Ming Dynasty.
nature
In ancient times, it was called Tao, Heaven, Nature and HarmonyOS System, as well as Creator (Su Shi # Red Cliff Fu is the creator's endless hiding) and Nature (the creator endowed all mysterious natural grace here).
These are all I have seen, and there are others. I don't know. There must be other names.
Foreigners:
Yi, Di, Rong and Man were also called "foreigners" in Qing Dynasty.
These are derogatory terms that seem to disrespect people.