David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studia Logica 51 (3-4):519 - 532 (1992)
The basic bimodal systemK/K can be interpreted as an analysis of the logic of ability developed in . Where in  we would express the claimI can bring it about that P using the formula, with its non-normal operator, we will now use the formula. Here is a normal alethic possibilitation operator.is a normal necessitation operator, but it is independent of, and not subject to an alethic interpretation. Rather, is interpreted to meanI bring it about that P. The result is a simplification and clarification of a combined logic of ability and action like that in , but employing only normal operators.A number of extensions of the basic systemK/K are constructed, first by strengthening the two normal sublogics independently and then by linking the two sublogics via axiom schemata involving both operators. The result is a series of increasingly strong systems which more and more adequately fulfill our expectations for a satisfactory logic of action and ability.
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References found in this work BETA
Mark A. Brown (1988). On the Logic of Ability. Journal of Philosophical Logic 17 (1):1 - 26.
Brian F. Chellas (1980). Modal Logic: An Introduction. Cambridge University Press.
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