Probabilities, for example, are not applicable to partially observed, guessed and modeled phenomena. It should be a type-error.
As for math - existence of a concept as a mathematical abstraction does not imply its existence outside the realms of so-called collective consciousness. Projecting mathematical concepts onto physical phenomena which could not be observed is a way to create chimeras and to get lost in them.
Read some Hegel to see how it works.)