What 'must' and 'can' must and can mean

Linguistics and Philosophy 1 (3):337--355 (1977)
Authors
Angelika Kratzer
University of Massachusetts, Amherst
Abstract
In this paper I offer an account of the meaning of must and can within the framework of possible worlds semantics. The paper consists of two parts: the first argues for a relative concept of modality underlying modal words like must and can in natural language. I give preliminary definitions of the meaning of these words which are formulated in terms of logical consequence and compatibility, respectively. The second part discusses one kind of insufficiency in the meaning definitions given in the first part, which arise from the ex falso quodlibet paradox of logical consequence. In stepwise fashion, I make an attempt to avoid most of the consequences of this paradox for the meaning definitions of must and can.
Keywords language
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DOI 10.1007/BF00353453
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References found in this work BETA

Counterfactuals.David K. Lewis - 1973 - Blackwell.
Logics and Languages.M. J. Cresswell - 1973 - London: Methuen [Distributed in the U.S.A. By Harper & Row.
The Coherence Theory of Truth.Nicholas Rescher - 1973 - Oxford, Clarendon Press.

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The Problem with the Frege–Geach Problem.Nate Charlow - 2014 - Philosophical Studies 167 (3):635-665.
Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.

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