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Basic Quasi-Boolean Expansions of Relevance Logics
The basic quasi-Boolean negation (QB-negation) expansions of relevance logics included in Anderson and Belnap’s relevance logic R are defined. We...
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Proof, Semiotics, and the Computer: On the Relevance and Limitation of Thought Experiment in Mathematics
This contribution defends two claims. The first is about why thought experiments are so relevant and powerful in mathematics. Heuristics and proof...
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Relevant propositional dynamic logic
Relevant propositional dynamic logics have been sporadically discussed in the broader context of modal relevant logics, but have not come up for...
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Boolean Connexive Logic and Content Relationship
We present here some Boolean connexive logics (BCLs) that are intended to be connexive counterparts of selected Epstein’s content relationship logics...
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Connexivity in the Logic of Reasons
This paper discusses some key connexive principles construed as principles about reasons, that is, as principles that express logical properties of...
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Logic in Selected African Languages and Proverbs
This chapter discusses perspectives of African logic in African philosophy. The question is, though it is commonly accepted that African philosophy...
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Why classical logic is privileged: justification of logics based on translatability
In Sect. 1 it is argued that systems of logic are exceptional, but not a priori necessary. Logics are exceptional because they can neither be...
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That’s It! Hyperintensional Total Logic
Call a truth complete with respect to a subject matter if it entails every truth about that subject matter. One attractive way to formulate a...
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Revisiting Reichenbach’s logic
In this paper we show that, when analyzed with contemporary tools in logic—such as Dunn-style semantics, Reichenbach’s three-valued logic exhibits...
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The Professional Logic of Sustainability Managers: Finding Underlying Dynamics
The role of the Sustainability Manager (SM) is expanding. Whether SMs are turning into a new profession is under debate. Pointing to the need for a...
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Tarskian Classical Relevant Logic
The Tarskian classical relevant logic \(\mathsf {TR}\)...
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Sequent Calculi for the Propositional Logic of HYPE
In this paper we discuss sequent calculi for the propositional fragment of the logic of HYPE. The logic of HYPE was recently suggested by Leitgeb ( Jou...
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Canguilhem and the Logic of Life
We examine aspects of Canguilhem’s philosophy of biology, concerning the knowledge of life and its consequences on science and vitalism. His concept...
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Indicative conditionals: probabilities and relevance
We propose a new account of indicative conditionals, giving acceptability and logical closure conditions for them. We start from Adams’ Thesis: the...
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What Proto-logic Could not be
Inspired by Bermúdez’s notion of proto-logic, I would like to fathom what the true proto-logic could be like. But this will be approached only in a...
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Logic in India
This chapter aims at providing a broad overview of Indian logic pursued in the classical Indian philosophical systems as well as in contemporary...
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Logic as a methodological discipline
This essay offers a conception of logic by which logic may be considered to be exceptional among the sciences on the backdrop of a naturalistic...