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Paraconsistent logics actually are useful, not just in philosophy, and the author has done a lot of great work with them. This article just makes his case badly. I think it's because he's trying to leave out anything that might be intimidating, but he made some really strange choices if so; Konig's paradox originally applied to the reals. It applies to the ordinals, because all you need is an uncountably infinite well-ordered set, but everyone is familiar with the reals and not so many are familiar with transfinite arithmetic. edit: but Venn diagrams are always equivalent to expressions in boolean logic, because of the duality of set theory and logic.