Maybe according to Google et al., but I have multiple Math Degrees and where I went (Rensselaer) no courses were offered in Arithmetic.
ML/NJ
Not “according to Google et al”. When I was in primary school in Ireland (mid to late 1970s), all arithmetic was referred to as mathematics and the word “arithmetic” was never used.
It could be argued that the term “mathematics” with reference to real number manipulation is too general, in light of that, especially given the etymology of the word “mathematics” (which comes from Greek “mathema”, meaning “lesson”).