[whatshisface]

Frequentism and bayesianism are more than separate collections of formulas, they're philosophical stances on interpreting theorems about statistics. That's where the separate language comes from. It might not be taught very often (because it's inconvenient and wordy), but it is actually possible to address anything in frequentist language, even cases where you're combining separate sources of differently-weighted evidence. The same goes for bayesian language.