Right, there you are with the definite article again.

What you're asserting is that without this system of rigor and discipline, there can be no other rigorous and disciplined way of defining programming languages. For one thing, this flies in the face of everything we know about the philosophy of mathematics.

I think my way of defining programming languages is pretty rigorous and disciplined. I'll continue to think that until you or anyone can identify some sloppy ambiguities. I note also that my foundation fits on a T-shirt and yours needs a math textbook...