#### nomadreid

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**Usually**the truth values of propositions of a logic are structured into a lattice, with 0 (False) on (say) the bottom and 1(True) on (say) the top, and the connecting lines being implication. In paraconsistent logics, there is at least one node which is not implied by 0. Can one safely say that a paraconsistent logic would not be able to refer to a lattice of truth values? If not, what would a lattice for the truth values of a paraconsistent system look like?