These are two quite different things. We group them under one name, 'facts', but that is just a convention. That's why I wanted to find out which kind we were talking about.
Saying that "there might be a third kind" is misleading: it is a matter of definitions of words. You propose there might be some undiscoverd X. You also propose that if we discovered X, we would be willing to call it "a new kind of fact". But X itself is vastly more interesting than what words we might use.
Therefore please taboo "fact" and tell me, what is it you think there may be more of?
These are two quite different things. We group them under one name, 'facts', but that is just a convention.
There's a reason we use the same word for both of them. They have a lot in common, for example being extremely objective in practice.
Here's the new thread for posting quotes, with the usual rules: