Normal bimodal logics of ability and action

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 [1]. Where in [1] 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 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 [2], 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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DOI 10.1007/BF01028973
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References found in this work BETA
On the Logic of Ability.Mark A. Brown - 1988 - Journal of Philosophical Logic 17 (1):1 - 26.
Action and Ability.Mark A. Brown - 1990 - Journal of Philosophical Logic 19 (1):95 - 114.

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Citations of this work BETA
Combinations of Stit with Ought and Know.Ming Xu - forthcoming - Journal of Philosophical Logic:1-27.

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