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  1. Why Must Incompatibility Be Symmetric?Ryan Simonelli - 2024 - Philosophical Quarterly 74 (2):658-682.
    Why must incompatibility be symmetric? An odd question, but recent work in the semantics of non-classical logic, which appeals to the notion of incompatibility as a primitive and defines negation in terms of it, has brought this question to the fore. Francesco Berto proposes such a semantics for negation argues that, since incompatibility must be symmetric, double negation introduction must be a law of negation. However, he offers no argument for the claim that incompatibility really must be symmetric. Here, I (...)
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  • Alethic Rights: Preliminaries of an Inquiry into the Power of Truth.Franca D’Agostini - 2021 - Social Epistemology 35 (5):515-532.
    The focus of this article is the notion of alethic rights, the rights related to truth. The concept of truth grounds many norms and customary and official rules, but there is no clear and shared idea about its power to generate specific rights. The juridical and political archetype called ‘the right to truth’ is still subject of controversies, and there are doubts about its being a real ‘right,’ to be protected by positive (new) norms. In the article the problem is (...)
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  • Conjunctive paraconsistency.Franca D’Agostini - 2021 - Synthese 199 (3-4):6845-6874.
    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 (...)
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  • Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
    We present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities between such points. (...)
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  • A Survey of Logical Realism.Tuomas E. Tahko - 2021 - Synthese 198 (5):4775-4790.
    Logical realism is a view about the metaphysical status of logic. Common to most if not all the views captured by the label ‘logical realism’ is that logical facts are mind- and language-independent. But that does not tell us anything about the nature of logical facts or about our epistemic access to them. The goal of this paper is to outline and systematize the different ways that logical realism could be entertained and to examine some of the challenges that these (...)
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  • Extensionality and Restriction in Naive Set Theory.Zach Weber - 2010 - Studia Logica 94 (1):87-104.
    The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. This paper considers the sub-problem of expressing extensional identity and the subset relation in paraconsistent, relevant solutions, in light of a recent proposal from Beall, Brady, Hazen, Priest and Restall [4]. The main result is that the proposal, in the context of an independently motivated formalization of naive set theory, leads (...)
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  • A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
    I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for negations. The approach unifies in a philosophically motivated picture the following (...)
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  • Could Everything Be True? Probably Not.Matteo Plebani - 2015 - Philosophia 43 (2):499-504.
    Trivialism is the doctrine that everything is true. Almost nobody believes it, but, as Priest shows, finding a non-question-begging argument against it turns out to be a difficult task. In this paper, I propose a statistical argument against trivialism, developing a strategy different from those presented in Priest.
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  • Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
    Is there a notion of contradiction—let us call it, for dramatic effect, “absolute”—making all contradictions, so understood, unacceptable also for dialetheists? It is argued in this paper that there is, and that spelling it out brings some theoretical benefits. First it gives us a foothold on undisputed ground in the methodologically difficult debate on dialetheism. Second, we can use it to express, without begging questions, the disagreement between dialetheists and their rivals on the nature of truth. Third, dialetheism has an (...)
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  • Hegel’s Interpretation of the Liar Paradox.Franca D’Agostini & Elena Ficara - 2021 - History and Philosophy of Logic 43 (2):105-128.
    In his Lectures on the History of Philosophy, Hegel develops a subtle analysis of Megarian paradoxes: the Liar, the Veiled Man and the Sorites. In this paper, we focus on Hegel's interpretation of...
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  • Shrieking, Just False and Exclusion.Gareth Young - 2015 - Thought: A Journal of Philosophy 4 (4):269-276.
    In a recent paper, Jc Beall has employed what he calls ‘shriek rules’ in a putative solution to the long-standing ‘just false’ problem for glut theory. The purpose of this paper is twofold: firstly, I distinguish the ‘just false’ problem from another problem, with which it is often conflated, which I will call the ‘exclusion problem’. Secondly, I argue that shriek rules do not help glut theorists with either problem.
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  • The Firmest of All Principles.Francesco Berto - 2015 - In Channa van Dijk, Eva van der Graaf, Michiel den Haan, Rosa de Jong, Christiaan Roodenburg, Dyane Til & Deva Waal (eds.), Under Influence - Philosophical Festival Drift (2014). Omnia. pp. 82-93.
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  • Two in one: contradictory Christology without gluts?Franca D’Agostini - 2024 - Asian Journal of Philosophy 3 (1):1-27.
    The central thesis of JC Beall’s paraconsistent Christology is that Christ, being human and divine, is a contradictory being, and a rational Christology can accept it, since logic nowadays does not exclude the possibility of true contradictions. In this paper, I move from Beall’s theory and I present an alternative view. I quote seven statements of the so-called ‘Athanasian Creed’ which synthesizes the results of conciliar Christology. The aim of the Creed is to combat monophysitism by stressing the duplicity and (...)
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