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Elements of Virtual Logic After Gilles Deleuze This paper investigates Gilles Deleuze’s notion of the virtual from the perspective of contemporary modal logic and mathematics. Moving beyond strictly philosophical exegesis, it examines whether the virtual can be conceptually articulated and what kind of logical structure is implied by a virtual logos. To address this question, the paper distinguishes between concept, conception, and conceptualization. Then, the analysis reconstructs a tripartite articulation of the virtual. Drawing on debates in modal logic concerning conceivability and metaphysical possibility, it is argued that the virtual exceeds logical conceivability and therefore cannot be reduced to a determinate concept. The paper proposes that the virtual and its logic should be understood not as a conceptualization but as a continuous trigger of conceptions and ontogenetic differentiation. This thesis is further developed through the case study of Differential Heterogenesis, as formulated by the mathematicians Alessandro Sarti and Giovanna Citti, and the semiotician David Piotrowski, in which virtuality functions as the condition for the continuous transformation of spaces of possibility and forms of individuation. The conclusion shows that a logic of the virtual ultimately entails an ethical dimension.
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Andrea F. De Donato (2026) studied this question.
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