A hierarchy of classical and paraconsistent logics

EA Barrio, F Pailos, D Szmuc - Journal of Philosophical Logic, 2020 - Springer
In this article, we will present a number of technical results concerning Classical Logic, ST
and related systems. Our main contribution consists in offering a novel identity criterion for …

[HTML][HTML] Structural reflexivity and the paradoxes of self-reference

R French - Ergo, an Open Access Journal of Philosophy, 2016 - quod.lib.umich.edu
Many logicians now think that in order to give a uniform solution to the paradoxes of self-
reference one must revise logic by dropping one of the usual structural rules. To date almost …

[图书][B] Paradoxes and inconsistent mathematics

Z Weber - 2021 - books.google.com
" In this book, it is argued that the notorious logical paradoxes-the Liar, Russell's, the Sorites-
are only the noisiest of many. Contradictions arise in the everyday, from the smallest points …

[HTML][HTML] Liar paradox

JC Beall, M Glanzberg, D Ripley - 2011 - plato.stanford.edu
The first sentence in this essay is a lie. There is something odd about saying so, as has been
known since ancient times. To see why, remember that all lies are untrue. Is the first …

One step is enough

D Ripley - Journal of Philosophical Logic, 2022 - Springer
The recent development and exploration of mixed metainferential logics is a breakthrough in
our understanding of nontransitive and nonreflexive logics. Moreover, this exploration poses …

Substructural approaches to paradox: an introduction to the special issue

E Zardini - Synthese, 2021 - Springer
The idea of a “substructural approach to a paradox” is, naturally enough, the idea of an
approach to a paradox that uses a substructural logic. While, contrary to what some might …

Principles for object-linguistic consequence: From logical to irreflexive

C Nicolai, L Rossi - Journal of Philosophical Logic, 2018 - Springer
We discuss the principles for a primitive, object-linguistic notion of consequence proposed
by (Beall and Murzi, Journal of Philosophy, 3 pp. 143–65 (2013)) that yield a version of …

Noncontractive classical logic

L Rosenblatt - 2019 - projecteuclid.org
One of the most fruitful applications of substructural logics stems from their capacity to deal
with self-referential paradoxes, especially truth-theoretic paradoxes. Both the structural rules …

[HTML][HTML] Curry's paradox

L Shapiro, J Beall - 2017 - plato.sydney.edu.au
“Curry's paradox”, as the term is used by philosophers today, refers to a wide variety of
paradoxes of self-reference or circularity that trace their modern ancestry to Curry (1942b) …

Paradoxes and structural rules from a dialogical perspective

C Dutilh Novaes, R French - Philosophical Issues, 2018 - Wiley Online Library
In recent years, substructural approaches to paradoxes have become quite popular. But
whatever restrictions on structural rules we may want to enforce, it is highly desirable that …