The γ-admissibility of Relevant Modal Logics I — The Method of Normal Models

Studia Logica 97 (2):199-231 (2011)

Abstract
The admissibility of Ackermann's rule? is one of the most important problems in relevant logic. While the?-admissibility of normal modal logics based on the relevant logic R has been previously discussed, the case for weaker relevant modal logics has not yet been considered. The method of normal models has often been used to prove the?-admissibility. This paper discusses which relevant modal logics admit? from the viewpoint of the method of normal models.
Keywords ?-admissibility  relevant modal logic  Routley-Meyer semantics  normal model  Sahlqvist axiom
Categories (categorize this paper)
DOI 10.1007/s11225-011-9306-6
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: 45,685
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Relevance Logic.Michael Dunn & Greg Restall - 2002 - In D. Gabbay & F. Guenthner (eds.), Handbook of Philosophical Logic. Kluwer Academic Publishers.
The Semantics of Entailment — III.Richard Routley & Robert K. Meyer - 1972 - Journal of Philosophical Logic 1 (2):192 - 208.
The Semantics of Entailment II.Richard Routley & Robert K. Meyer - 1972 - Journal of Philosophical Logic 1 (1):53 - 73.
Begrundung Einer Strengen Implik.Wilhelm Ackermann - 1956 - Journal of Symbolic Logic 21:113.

View all 19 references / Add more references

Citations of this work BETA

Some Metacomplete Relevant Modal Logics.Takahiro Seki - 2013 - Studia Logica 101 (5):1115-1141.
Tracking Reasons with Extensions of Relevant Logics.Shawn Standefer - 2019 - Logic Journal of the IGPL 27 (4):543-569.

Add more citations

Similar books and articles

Some Metacomplete Relevant Modal Logics.Takahiro Seki - 2013 - Studia Logica 101 (5):1115-1141.
Normal Monomodal Logics Can Simulate All Others.Marcus Kracht & Frank Wolter - 1999 - Journal of Symbolic Logic 64 (1):99-138.
Kripke Semantics for Modal Substructural Logics.Norihiro Kamide - 2002 - Journal of Logic, Language and Information 11 (4):453-470.
Models for Relevant Modal Logics.André Fuhrmann - 1990 - Studia Logica 49 (4):501 - 514.

Analytics

Added to PP index
2013-09-30

Total views
14 ( #613,484 of 2,280,832 )

Recent downloads (6 months)
1 ( #840,891 of 2,280,832 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature