One heresy and one orthodoxy: On dialetheism, dimathematism, and the non-normativity of logic

H Wansing - Erkenntnis, 2024 - Springer
Abstract In this paper, Graham Priest's understanding of dialetheism, the view that there exist
true contradictions, is discussed, and various kinds of metaphysical dialetheism are …

Strength and stability

P Teijeiro - Análisis Filosófico, 2021 - analisisfilosofico.org
En este artículo, considero dos presuntas definiciones alternativas de validez
metainferencial: local y global. Defiendo esta última, en primer lugar, argumentando que no …

Substructural Solutions to the Semantic Paradoxes: A Dialetheic Perspective

G Priest - Paradoxes Between Truth and Proof, 2024 - Springer
Over the last decade or so, a number of writers have argued for solutions to the paradoxes of
semantic self-reference which proceed by dropping some of the structural rules of inference …

There is no tenable notion of global metainferential validity

R Golan - Analysis, 2021 - academic.oup.com
The use of models to assign truth values to sentences and to counterexemplify invalid
inferences is a basic feature of model theory. Yet sentences and inferences are not the only …

Why a logic is not only its set of valid inferences

EA Barrio, F Pailos - Análisis Filosófico, 2021 - analisisfilosofico.org
La idea principal que queremos defender en este artículo es que la pregunta acerca de qué
es una lógica debería ser abordada de una manera especial cuando entran en juego las …

Is Cantor's Theorem a Dialetheia? Variations on a Paraconsistent Approach to Cantor's Theorem

U Petersen - The Review of Symbolic Logic, 2024 - cambridge.org
The present note was prompted by Weber's approach to proving Cantor's theorem, ie, the
claim that the cardinality of the power set of a set is always greater than that of the set itself …

The (greatest) fragment of classical logic that respects the variable-sharing principle (in the fmla-fmla framework)

DE Szmuc - Bulletin of the Section of Logic, 2021 - ceeol.com
We examine the set of formula-to-formula valid inferences of Classical Logic, where the
premise and the conclusion share at least a propositional variable in common. We review …

[PDF][PDF] Responses

R David - Análisis Filosófico, 2021 - redalyc.org
In both the precis and draft of Uncut, I say as little as possible about logic. I certainly use a lot
of logical tools and techniques to develop the picture, but at the end of the day Uncut is …

How to Make a New Logic

T Inoué - arXiv preprint arXiv:2108.05934, 2021 - arxiv.org
We discuss about how to make a new logic with considering a slogan:\it take the inversion of
what you know.\rm Suppose that we have a Gentzen-style logical system $ S $. The …

Contradictions and emptiness all the way down? Book review: Markus Gabriel and Graham Priest,“Everything and Nothing”, Polity Press, 2022

PADO Barbalho - Logic and Logical Philosophy, 2024 - apcz.umk.pl
Markus Gabriel's pluralism and Graham Priest's monism can be considered new forms of
skepticism in contemporary philosophy. Gabriel considers 'emptiness' and Priest …