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One Step is Enough

Journal of Philosophical Logic 51 (6):1233-1259 (2022)

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  1. Higher-Level Paradoxes and Substructural Solutions.Rashed Ahmad - forthcoming - Studia Logica:1-25.
    There have been recent arguments against the idea that substructural solutions are uniform. The claim is that even if the substructuralist solves the common semantic paradoxes uniformly by targeting Cut or Contraction, with additional machinery, we can construct higher-level paradoxes (e.g., a higher-level Liar, a higher-level Curry, and a meta-validity Curry). These higher-level paradoxes do not use metainferential Cut or Contraction, but rather, higher-level Cuts and higher-level Contractions. These kinds of paradoxes suggest that targeting Cut or Contraction is not enough (...)
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  • Metainferentially substructural validity theories.Federico Pailos - forthcoming - Journal of Applied Non-Classical Logics:1-22.
    1. As Graham Priest claims in Priest (forthcoming), blocking semantic paradoxes is not hard. It just requires giving up (at least) one of the principles involved in the derivation of the undesirabl...
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  • Anti-exceptionalism, truth and the BA-plan.Eduardo Alejandro Barrio, Federico Pailos & Joaquín Toranzo Calderón - 2021 - Synthese 199 (5-6):12561-12586.
    Anti-exceptionalism about logic states that logical theories have no special epistemological status. Such theories are continuous with scientific theories. Contemporary anti-exceptionalists include the semantic paradoxes as a part of the elements to accept a logical theory. Exploring the Buenos Aires Plan, the recent development of the metainferential hierarchy of ST\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf {ST}}$$\end{document}-logics shows that there are multiple options to deal with such paradoxes. There is a whole ST\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...)
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