DIss0n80r wrote:But what if the generalization is also exclusive and thus only relatively complete?
That is called Russell's paradox, a variant of the liars paradox. No one has resolved that one yet.
Although the truth that the cat is on the mat does not resemble the cat or the mat (the truth doesn't smell, etc.), it does resemble the fact that the cat is on the mat. This is not a qualitative resemblance; it is a more abstract, structural resemblance.