Delicious reading! Glad to learn about the principle of 2, paraconsistency, dialetheism, etc.

Dummett's Logical Basis of Metaphysics targets the law of the excluded middle. It ends with God being asked about the law. Dummett speculates God would just shrug -- seemingly because it was a nonsense question?

It's funny how people seem to assume the human mind can or should be able to solve the famous puzzles you talk about and others like them. What about our minds being products of (incremental) evolution?