Necessary Conditions in a Natural Language

Abstract

One needs an integrated and sophisticated theory of modals and conditionals for a satisfactory analysis of sentences like (1) and (2). The theory of Angelika Kratzer (1981) is such a theory. However, as it stands it does not offer a straightforward account of these sentences. Yet I shall argue that it can be generalized so as to derive the correct truth conditions. In Kratzer’s theory, a modal depends for its interpretation on two contextual parameters (conversational backgrounds), functions from worlds to sets of propositions; a modal base, consisting of facts, and an ordering source, typically consisting of norms

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