What can I know with 100% certainty?
It ends up being a critique of how we think. Aka how we logically thinks
It is a resolution in that it posits that logic is in itself invalid except where we can consider it to be complete. The conclusion would be that logic is only absolutely correct when it is relative.
And a self referential statement like that - logically derived - implies that it is absolute, if that statement is to be believed absolutely. Therefore relativity has nothing to do with it, even though that was the purpose of the statement. Negate it and follow through the loop to the same point, ad infinitum.
It is not a solvable problem.
Now that is theoria. In praxis, we aren’t too much concerned over this. And the avoidance of self referentially applying propositions like that is all part of accepting the world - else we would be all solipsists, or one step above that (meaning we accept logic as valid as part of the world… so avoiding that would mean we accept the world in absolute anarchy, which I think some do…)
But this distinction is interesting when we consider what we can be certain about. It seems that we are certain about what at base level we accept of the world. Substitute that for “I think”, which would really be “I accept” therefore I am, because there really isn’t much of a choice. So we are left to logically backfill the acceptance with an incomplete structural set of thinking patterns. Which are great when applied to a set, but fail when thinking about it belonging to its own set of sets that don’t belong to itself etc etc. logic is a tool designed for certain uses.
That is why (one reason anyways) the philosopher doesn’t really think he/she knows anything. We are certain to the extent that we can be convinced.
And the epistemological underpinning of acceptance is experiential, or a-priori if you will, etc etc. lots of room for plausible explanations (and room for some that don’t make sense). Given a very basic acceptance level - what else actually makes sense? I would think that the further up the acceptance chain you go the more specific beliefs and sets of knowledge are in play, and if you actually try to understand them instead of believing you already know what you are supposedly investigating, then the amount of certainty in the world (measured by people purporting certainty about things) to be fairly large, and the amount of falseness that we would recognize to also be less large. Ugh. Never mind.