Relevance, relatedness and restricted set theory
In Georg Schurz (ed.), Advances in Scientific Philosophy (1991)
| Abstract | Relevance logic has become ontologically fertile. No longer is the idea of relevance restricted in its application to purely logical relations among propositions, for as Dunn has shown in his (1987), it is possible to extend the idea in such a way that we can distinguish also between relevant and irrelevant predications, as for example between “Reagan is tall” and “Reagan is such that Socrates is wise”. Dunn shows that we can exploit certain special properties of identity within the context of standard relevance logic in a way which allows us to discriminate further between relevant and irrelevant properties, as also between relevant and irrelevant relations. The idea yields a family of ontologically interesting results concerning the different ways in which attributes and objects may hang together. Because of certain notorious peculiarities of relevance logic, however,1 Dunn’s idea breaks down where the attempt is made to have it bear fruit in application to relations among entities which are of homogeneous type. | |||||||||
| Keywords | relevance logic Michael Dunn | |||||||||
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Philip Kremer (1997). Dunn's Relevant Predication, Real Properties and Identity. Erkenntnis 47 (1):37-65.
Vladimir L. Vasyukov (2011). Paraconsistency in Categories: Case of Relevance Logic. Studia Logica 98 (3):429-443.
Gerhard Schurz (1991). Relevant Deduction. Erkenntnis 35 (1-3):391 - 437.
Katalin Bimbó, J. Michael Dunn & Roger D. Maddux (2009). Relevance Logics and Relation Algebras. Review of Symbolic Logic 2 (1):102-131.
C. Kenneth Waters (1987). Relevance Logic Brings Hope to Hypothetico-Deductivism. Philosophy of Science 54 (3):453-464.
Alan Anderson, Belnap R., D. Nuel & J. Michael Dunn (1992). Entailment: The Logic of Relevance and Necessity, Vol. Ii. Princeton University Press.
Gerard Allwein & J. Michael Dunn (1993). Kripke Models for Linear Logic. Journal of Symbolic Logic 58 (2):514-545.
Philip Kremer (1999). Relevant Identity. Journal of Philosophical Logic 28 (2):199-222.
Philip Kremer (1989). Relevant Predication: Grammatical Characterisations. Journal of Philosophical Logic 18 (4):349 - 382.
L. Jonathan Cohen (1994). Some Steps Towards a General Theory of Relevance. Synthese 101 (2):171 - 185.
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