ummmmmmm ok thinking of combining the two

A: "this statement is unprovable"

we consider that _portions_ of statements that _contradict with the
rules of logic_ have an undefined or unknown truth value.
so A is undefined or unknown.

B: "A is unprovable"
C: "A is false"
D: "A is true"

I guess the unknownness would propagate to B, C, and D.

A combination of them together would also retain this unknownness.

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