Hegel, Beall, and the logic of Vereinigung

Abstract

In 2023, Beall and Ficara present what they call Hegelian conjunctions. A Hegelian conjunction is a true conjunction of contradictory opposites in which the conjuncts, separately taken, are untrue and for which simplification fails. The analysis in Beall & Ficara History and Philosophy of Logic 44 (2) 119-131, 2023 is important for various reasons. First, for overcoming the deleterious state of estrangement between two ways of conceiving and practicing logic, the “dialectical” or “continental” and the “analytical” one. Second, for strengthening a new, promising way of conceiving conjunction in paraconsistency (d’Agostini Synthese 199, 6845 6874, 2021). Yet it needs an enlargement, mainly in two dimensions, a hermeneutical and a logical one. The former concerns the textual basis used by Beall and Ficara for motivating their account (the focus of their analysis is a small part of the early Hegelian fragment on Vereinigung – unification/conjunction). The latter is the semantics proposed by Beall and Ficara. In this paper, I focus on the first dimension, in the conviction that the condition for making the chief formal characteristics of dialectics (the logical dimension) clearer is a grasp of the Hegelian fragment in its entirety and complexity. The fragment is crucial for thinking about the logic, metaphysics and epistemology of true contradictions. Yet it counts as obscure. My aim is to make its content more accessible, and to present its relevance for conjunctive paraconsistency.