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On the Ternary Relation and Conditionality |
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| Authors: | Jc Beall Ross Brady J Michael Dunn A P Hazen Edwin Mares Robert K Meyer Graham Priest Greg Restall David Ripley John Slaney Richard Sylvan |
| Institution: | 1. University of Connecticut, Storrs, CT, 06269-2054, USA 2. University of Otago, Otago, New Zealand 3. La Trobe University, Melbourne, VIC 3086, Australia 4. Indiana University, Bloomington, IN, 47405, USA 5. University of Alberta, Alberta, Canada 6. University of Melbourne, Parkville, VIC 3010, Australia 7. Victoria University of Wellington, Wellington, 6140, New Zealand 8. Australian National University, Canberra, ACT 0200, Australia 10. University of St Andrews, St Andrews, Fife, KY16 9AL, UK 9. Graduate Center, City University of New York, New York, NY, 10016, USA |
| Abstract: | One of the most dominant approaches to semantics for relevant (and many paraconsistent) logics is the Routley?CMeyer semantics involving a ternary relation on points. To some (many?), this ternary relation has seemed like a technical trick devoid of an intuitively appealing philosophical story that connects it up with conditionality in general. In this paper, we respond to this worry by providing three different philosophical accounts of the ternary relation that correspond to three conceptions of conditionality. We close by briefly discussing a general conception of conditionality that may unify the three given conceptions. |
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