In machine learning, we use a hypothesis set $\mathcal{H}$ and Hoeffding Inequality for generalization theory.

I have the following question:

Case 1: When we have a finite and fixed hypothesis set $\mathcal{H}$, do we have the parameter of hypotheses in the set known or unknown?

Case 2: When we have an infinite hypothesis set $\mathcal{H}$, do we have the parameter of hypotheses in the set known or unknown?