[applicative]

The objections that one treatise makes to another will typically be of type violation, category mistake, nonsense - which is typical of compilers. I don't need to tell you which discipline invented the ideas of type and type error and was even largely organized around them in early and mid- 20th c, even across wildly different theoretical views.

[dwaltrip]

Warning: Irony :)

Category error: Theory of compiler != compiler

[kazinator]

Mathematics.

[applicative]

Type theory was invented by Bertrand Russell. He did have undergraduate math training. All of 20th c anglo american philosophy arises from this paper.