[AnimalMuppet]

> That's what motivated the formalization of Type Theory and the invention of Type Systems in programming languages.

I don't think that's right. The original invention of type systems in programming had nothing to do with Type Theory. The motivation wasn't from any theory. The point was to tell Fortran whether to treat a value as an integer or a floating-point number, which affected storage format and a bunch of other things. (Before Fortran, there was floating-point arithmetic, but the type was still just a computer word. The programmer had to keep track of what format it was in.)