Abstract
This paper describes the adaptive logic of compatibility and its dynamic proof theory. The results derive from insights in inconsistency-adaptive logic, but are themselves very simple and philosophically unobjectionable. In the absence of a positive test, dynamic proof theories lead, in the long run, to correct results and, in the short run, sometimes to final decisions but always to sensible estimates. The paper contains a new and natural kind of semantics for S5from which it follows that a specific subset of the standard worlds-models is characteristic for S5.
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Batens, D., Meheus, J. The Adaptive Logic of Compatibility. Studia Logica 66, 327–348 (2000). https://doi.org/10.1023/A:1005208616441
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DOI: https://doi.org/10.1023/A:1005208616441