If we can only describe them in terms of other fields, I'd say math is like law and CS is like physics. In math you can kind of say whatever you want, but in CS

If we can only describe them in terms of other fields, I'd say math is like law and CS is like physics. In math you can kind of say whatever you want, but in CS it's meaningless unless it's in the context of some sort of computer. I'd say there's also a lot more stake to the organizational principles you have in CS, where in math it really is symbol shunting at the end of the day.