Relevance logics, paradoxes of consistency and the K rule II. A non-constructive negation

Logic and Logical Philosophy 15 (3):175-191 (2007)

Authors
Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Abstract
The logic B+ is Routley and Meyer’s basic positive logic. We define the logics BK+ and BK'+ by adding to B+ the K rule and to BK+ the characteristic S4 axiom, respectively. These logics are endowed with a relatively strong non-constructive negation. We prove that all the logics defined lack the K axiom and the standard paradoxes of consistency
Keywords substructural logics  implicative paradoxes  relevance logics  ternary relational semantics
Categories (categorize this paper)
DOI 10.12775/LLP.2006.011
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 47,299
Through your library

References found in this work BETA

What is Strict Implication?Ian Hacking - 1963 - Journal of Symbolic Logic 28 (1):51-71.
CE is Not a Conservative Extension of E.Edwin D. Mares - 2000 - Journal of Philosophical Logic 29 (3):263-275.

Add more references

Citations of this work BETA

The Basic Constructive Logic for a Weak Sense of Consistency.Gemma Robles & José M. Méndez - 2008 - Journal of Logic, Language and Information 17 (1):89-107.

Add more citations

Similar books and articles

A Constructive Negation for Logics Including TW+.Gemma Robles & José M. Méndez - 2005 - Journal of Applied Non-Classical Logics 15 (4):389-404.
The Basic Constructive Logic for Negation-Consistency.Gemma Robles - 2008 - Journal of Logic, Language and Information 17 (2):161-181.
The Basic Constructive Logic for Absolute Consistency.José M. Méndez & Gemma Robles - 2009 - Journal of Logic, Language and Information 18 (2):199-216.
The Basic Constructive Logic for a Weak Sense of Consistency.Gemma Robles & José M. Méndez - 2008 - Journal of Logic, Language and Information 17 (1):89-107.
Informational Interpretation of Substructural Propositional Logics.Heinrich Wansing - 1993 - Journal of Logic, Language and Information 2 (4):285-308.
Logical Consequence and the Paradoxes.Edwin Mares & Francesco Paoli - 2014 - Journal of Philosophical Logic 43 (2-3):439-469.
Modal Translations in Substructural Logics.Kosta Došen - 1992 - Journal of Philosophical Logic 21 (3):283 - 336.
Normal Modal Substructural Logics with Strong Negation.Norihiro Kamide - 2003 - Journal of Philosophical Logic 32 (6):589-612.

Analytics

Added to PP index
2013-11-24

Total views
30 ( #312,639 of 2,290,759 )

Recent downloads (6 months)
5 ( #235,030 of 2,290,759 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature