This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...) non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

1. In both Benedetto Croce's and Hegel's own terminology, dialectics can be understood as dottrina degli opposti (the doctrine of the opposites – Lehre der Gegensätze).1 In the dialectical process,...

G. H. von Wright proposed that a temporal interval exemplifies a real contradiction if at least one part of any division of this interval involves the presence of contradictorily related (though non-simultaneous) states. In connection with intervals, two negations must be discerned: 'does not hold at an interval' and 'fails throughout an interval'. Von Wright did not distinguish the two. As a consequence, he made a mistake in indicating how to use his logical symbolism to express the notion of real (...) contradiction. The present paper aims to reconstruct and philosophically motivate von Wright's argument for the possibility of real contradictions. (shrink)

The aim of this paper is to lay bare the roots of dialetheism in discussions about dialectics and dialectical logic at the time of the first development of paraconsistent logics. In other words, th...

The idea at the basis of this special issue is that reopening the old debate about the logical status of Hegel’s dialectics is extremely interesting, for various reasons.1 The first reason is that...

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. (shrink)