Eugène Dupréel

French philosopher Gilles Deleuze wrote two 'logic' books: Francis Bacon: The Logic of Sensation and The Logic of Sense. However, in neither of these books nor in any other works does Deleuze articulate in a formal way the features of the logic he employs. He certainly does not use classical logic. And the best options for the non-classical logic that he may be implementing are: fuzzy, intuitionist, and many-valued. These are applicable to his concepts of heterogeneous composition and becoming, affirmative synthetic disjunction, and powers of the false.

In The Logic of Gilles Deleuze: Basic Principles, Corry Shores examines the applicability of three non-classical logics to Deleuze's philosophy, by building from the philosophical and logical writings of Graham Priest, the world's leading proponent of dialetheism. Through so doing, Shores argues that Deleuze's logic is best understood as a dialetheic, paraconsistent, many-valued logic.

Deleuze’s notion of the powers of the false is central to his philosophy of truth and becoming, but it is also one of his most complexly elaborated ideas, with its various diverging conceptual dimensions inviting further analysis and reconfiguration. One perplexing conception here is that falsity is more primary than truth, because it is what creates truths of the highest order. We examine the thinking behind this idea by proceeding through Deleuze’s notions of the Devil and the sorcerer, Dupréelian consolidation and consistency, the false movement of the world, the powers of the false in contrast to mere falsity, having done with judgment, the simulacrum, and three particular figures of the falsifier, namely, the fabulist, the clairvoyant seer, and the self- and world-creative artist.