What *IS* Arithmetic?

No.13959468 ViewReplyOriginalReport
But tell me:
What *ARE* Numbers?
AND
What *IS* Addition? or Subtraction? or Multiplication? or Division?

> inb4 it's "le arbitrary (tm) system that we find le useful (tm)"
>>>/r/eddit.com

Please do not just give me the Field or Peano axioms or whatever, I want an actual answer.
Clearly there is some notion we're drawing from here, in making these systems and definitions, and I want (You) to explain exactly what these notions are, primarily in words if you can.
Thank you.