arithmetic is a subset of mathematics but its a part that gets in the way of understanding you cant prove things abstractly using numbers for the most part, yo

arithmetic is a subset of mathematics but its a part that gets in the way of understanding you cant prove things abstractly using numbers for the most part, you can test cases in a very glib way: arithmetic: 1,2,3,… i bet you i can count really high. Arithmetic is integers and while those are cool they are ordered mathematics: what kind of objects behave this way can i prove there are finitely many or infinity many. The field of complex numbers is not ordered very different there hasn’t been a universal mathematician for a very long time and you must choose for your own sanity and productivity what you’re gonna spend your energy on are you going to calculate then don’t go into “modern” abstract mathematics you have to choose what you’re priorities are going to be and everything else has to take a backseat