Non-reflexivity and Revenge

Murzi, Julien; Rossi, Lorenzo

doi:10.1007/s10992-021-09625-5

Cited by 3 publications

(2 citation statements)

References 32 publications

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“…18 Actually, they are in fact targeting not only paracomplete approaches but also paraconsistent, non-transitive, non-contractive and non-reflexive approaches. Their arguments are developed in Murzi and Rossi (2020) and Murzi and Rossi (2022).…”

Section: Principles For Paradoxicalitymentioning

confidence: 99%

Paradoxicality in Kripke’s theory of truth

Rosenblatt

Gallovich

2022

Synthese

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A lot has been written on solutions to the semantic paradoxes, but very little on the topic of general theories of paradoxicality. The reason for this, we believe, is that it is not easy to disentangle a solution to the paradoxes from a specific conception of what those paradoxes consist in. This paper goes some way towards remedying this situation. We first address the question of what one should expect from an account of paradoxicality. We then present one conception of paradoxicality that has been offered in the literature: the fixed-point conception.According to this conception, a statement is paradoxical if it cannot obtain a classical truthvalue at any fixed-point model. In order to assess this proposal rigorously we provide a nonmetalinguistic characterization of paradoxicality and we evaluate whether the resulting account satisfies a number of reasonable desiderata.

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Section: Principles For Paradoxicalitymentioning

confidence: 99%

Paradoxicality in Kripke’s theory of truth

Rosenblatt

Gallovich

2022

Synthese

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“…A fourteenth paper entitled "Non-reflexivity and Revenge" and intended for this special issue, by Murzi and Rossi, was inadvertently published in a regular issue of the JPL[42]. This paper raises some objections against TS-like treatments of the semantic paradoxes, and would normally have been inserted right before Zardini's paper in this special issue.…”

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confidence: 99%

Editorial Introduction: Substructural Logics and Metainferences

Barrio

Égré

2022

J Philos Logic

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The concept of substructural logic was originally introduced in relation to limitations of Gentzen's structural rules of Contraction, Weakening and Exchange. Recent years have witnessed the development of substructural logics also challenging the Tarskian properties of Reflexivity and Transitivity of logical consequence. In this introduction we explain this recent development and two aspects in which it leads to a reassessment of the bounds of classical logic. On the one hand, standard ways of defining the notion of logical consequence in classical logic naturally induce substructural logics when admitting more than two truth values; on the other hand, these substructural logics give rise to hierarchies of metainferences that can be used to approximate classical logic at different levels.

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Paradoxicality Without Paradox

Rosenblatt

2021

Erkenn

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Non-reflexivity and Revenge

Cited by 3 publications

References 32 publications

Paradoxicality in Kripke’s theory of truth

Paradoxicality in Kripke’s theory of truth

Editorial Introduction: Substructural Logics and Metainferences

Paradoxicality Without Paradox

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