Her early research 'laid the foundation' [=provided the basis] for many important medical discoveries.
These charges have no 'foundation' in fact. [=there are no facts that support these charges]
The book explains the moral 'foundations' on which her political career was built.
(..) overrun by disease for decades. Well... ...your work will put an end to that. - That's the hope. - That's the reality. Are you from the foundation? They don't usually check up on us this late. No, no. But I have studied your work, and I know what it will lead to. My work? You mean the lab's. (..)1998 TvShow: Charmed Title: The Truth Is Out There... and It Hurts Season: 1 Episode 8