> Its not circular since it's not a synonym. Repeated addition and scaling are properties of the operations respectively on some or all subsets of the reals, and that these properties are not what these operations *are*. They are models of properties of some or all of the operations, not the operations themselves.
Why not just address the challenge: give us a detailed mathematical account of the "process" (Devlin) that multiplication is that is not flat-out circular.
Note that I haven't used the word scaling, or property, or model, or any of these complications. Just give a straightforward account of the process (Devlin's word -- and he used it explicitly) of multiplication of any two real numbers that's not circular and shows how it produces an answer.