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Syllogistic Relevance and Term Logic
Term Functor Logic is a term logic that recovers some important features of the traditional, Aristotelian logic; however, it turns out that it does...
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On Pretabular Extensions of Relevance Logic
We exhibit infinitely many semisimple varieties of semilinear De Morgan monoids (and likewise relevant algebras) that are not tabular, but which have...
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Fine’s Semantics for Relevance Logic and Its Relevance
The challenge of giving a semantics for relevance logic in terms of worlds or situations intrigued several logicians. As a solution, Fine gave a...
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‘Truthmaker Semantics for Relevance Logic’: Response to ‘Fine’s Semantics for Relevance Logic and its Relevance’ by Katalin Bimbó and J. Michael Dunn
I outline a truthmaker semantics for relevanced logic.
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Inquiry, reasoning and the normativity of logic
According to the traditional view in the philosophy of logic facts of logic bear normative authority regarding how one ought to reason. Usually this...
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Relevance as difference-making: a generalized theory of relevance and its applications
In this paper a generalized account of relevance as difference-making is developed. It is argued that relevance should not be considered as a...
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Hegel, Beall, and the logic of Vereinigung
In 2023, Beall and Ficara present what they call Hegelian conjunctions. A Hegelian conjunction is a true conjunction of contradictory opposites in...
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A Hyperintensional Logic of Non-prime Evidence
We present a logic of evidence that reduces agents’ epistemic idealisations by combining classical propositional logic with substructural modal logic...
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Introduction: Kit Fine on Truthmakers, Relevance, and Non-classical Logic
Kit Fine’s contribution to logic is vast and diverse; the chapters in this book deal with a significant part of it. In this introductory chapter, we...
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Saving logic from paradox via nonclassical recapture
The Liar paradox arguably shows that a coherent and self-applicable notion of truth is governed by nonclassical logic. It then seems natural to...
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Towards a pragmatist epistemology for theory choice in logic
In this paper, I outline a pragmatist epistemology of logic inspired by later work of Charles S. Peirce that shares many features with an...
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Connexive Logic, Connexivity, and Connexivism: Remarks on Terminology
Over the past ten years, the community researching connexive logics is rapidly growing and a number of papers have been published. However, when it...
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A Characteristic Frame for Positive Intuitionistic and Relevance Logic
I show that the lattice of the positive integers ordered by division is characteristic for Urquhart’s positive semilattice relevance logic; that is,...
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Detecting bots with temporal logic
Social bots are computer programs that act like human users on social media platforms. Social bot detection is a rapidly growing field dominated by...
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Depth Relevance and Hyperformalism
Formal symptoms of relevance usually concern the propositional variables shared between the antecedent and the consequent of provable conditionals....
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Towards a logic for ‘because’
This paper explores the connective ‘because’, based on the idea that ‘ C because A ’ implies the acceptance/truth of the antecedent A as well as of the...
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Rewriting the History of Connexive Logic
The “official” history of connexive logic was written in 2012 by Storrs McCall who argued that connexive logic was founded by ancient logicians like...
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Logical abductivism on abductive logic
Logical abductivism is the epistemic view about logic according to which logical theories are justified by abduction (or Inference to the Best...
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Logic-Sensitivity and Bitstring Semantics in the Square of Opposition
This paper explores the interplay between logic-sensitivity and bitstring semantics in the square of opposition. Bitstring semantics is a...