Following this, Weyl introduced the term gauge, in attempting to explain a potential local symmetry of Electromagnetism, but did so incorrectly, however he and other mathematicians/physicists corrected this later on.
Brouwer was supported by people like Weyl, and Gödel, but Hilbert's formulation came out on top, leading to the expulsion of time from mathematics, and mathematical objects were thus seen as objects that exist in some platonic realm.