There exist exactly two maximal strictly relevant extensions of the relevant logic R
Journal of Symbolic Logic 64 (3):1125-1154 (1999)
| Abstract | In [60] N. Belnap presented an 8-element matrix for the relevant logic R with the following property: if in an implication A → B the formulas A and B do not have a common variable then there exists a valuation v such that v(A → B) does not belong to the set of designated elements of this matrix. A 6-element matrix of this kind can be found in: R. Routley, R.K. Meyer, V. Plumwood and R.T. Brady [82]. Below we prove that the logics generated by these two matrices are the only maximal extensions of the relevant logic R which have the relevance property: if A → B is provable in such a logic then A and B have a common propositional variable | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,679 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesAlexej P. Pynko (2000). Subprevarieties Versus Extensions. Application to the Logic of Paradox. Journal of Symbolic Logic 65 (2):756-766.
Gemma Robles & José M. Méndez (2010). A Routley-Meyer Type Semantics for Relevant Logics Including B R Plus the Disjunctive Syllogism. Journal of Philosophical Logic 39 (2).
Edwin D. Mares & André Fuhrmann (1995). A Relevant Theory of Conditionals. Journal of Philosophical Logic 24 (6):645 - 665.
Edwin David Mares (2004). Relevant Logic: A Philosophical Interpretation. Cambridge Univeristy Press.
Ewa Orlowska (1992). Relational Proof System for Relevant Logics. Journal of Symbolic Logic 57 (4):1425-1440.
Lou Goble (2003). Neighborhoods for Entailment. Journal of Philosophical Logic 32 (5):483-529.
Philip Kremer (1989). Relevant Predication: Grammatical Characterisations. Journal of Philosophical Logic 18 (4):349 - 382.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads3 ( #201,837 of 549,070 )Recent downloads (6 months)1 ( #63,185 of 549,070 )How can I increase my downloads? |
My notes
Discussion
