David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studia Logica 43 (1-2):89 - 106 (1984)
It is argued that the preservation of truth by an inference relation is of little interest when premiss sets are contradictory. The notion of a level of coherence is introduced and the utility of modal logics in the semantic representation of sets of higher coherence levels is noted. It is shown that this representative role cannot be transferred to first order logic via frame theory since the modal formulae expressing coherence level restrictions are not first order definable. Finally, an inference relation, calledyielding, is introduced which is intermediate between the coherence preservingforcing relation introduced elsewhere by the authors and the coherence destroying, inference relation of classical logic.
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References found in this work BETA
David Lewis (1982). Logic for Equivocators. Noûs 16 (3):431-441.
P. K. Schotch & R. E. Jennings (1980). Inference and Necessity. Journal of Philosophical Logic 9 (3):327-340.
Citations of this work BETA
Ben Martin (2014). Dialetheism and the Impossibility of the World. Australasian Journal of Philosophy 93 (1):61-75.
Heinrich Wansing & Yaroslav Shramko (2008). Suszko's Thesis, Inferential Many-Valuedness, and the Notion of a Logical System. Studia Logica 88 (3):405 - 429.
Peter Apostoli (1997). On the Completeness of First Degree Weakly Aggregative Modal Logics. Journal of Philosophical Logic 26 (2):169-180.
Peter Apostoli (1996). Modal Aggregation and the Theory of Paraconsistent Filters. Mathematical Logic Quarterly 42 (1):175-190.
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