Illocutions, implicata, and what a conversation requires
An approach is provided to the prediction and explanation of quantity implicata (implicata whose calculation depends on adversion to Grice's maxim of Quantity) that, unlike the majority of approaches available, does not construe Quantity as requiring speakers to make the strongest claim that their evidence permits. Central to this treatment is an elaboration of the notion of what a conversation requires as appealed to in the Cooperative Principle and the Quantity maxim. What a conversation requires is construed as depending, at any given point, upon (i) the aim(s) of the conversation taking place, (ii) the conversational record, which includes such features as common ground and salience relations among objects, and (iii) any proffered illocution calling for a reply. In accounting for this third dimension a partial characterization is provided of the speech acts of assertion and interrogation in terms of their role in constraining the progress of the conversation in which they occur.
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