@sophieschmieg Does it influence how you, like, /do/ mathematics practically, or just (I assume this at least) how you approach mathematics emotionally/philosophically?

Like, constructivism has a practical impact on what moves are legitimate in mathematical proof and discovery.
And Wildberger's take on Ultrafinitism drove him away from using real or even algebraic numbers at all, building up his own parallel, differently-behaving, constructions of geometry and functions (e.g. his concept of "circles" and "lines", he will say that a line with a point inside a circle and a point outside a circle will intersect the circle at 2, 1, or 0 pointa) -- but, his is a conspiratorial take on it, so maybe a /non-/conspiratorial take wouldn't require any changes to practice.