Abstract
Inferential erotetic logic (IEL) and inquisitive semantics (INQ) give accounts of questions and model various aspects of questioning. In this paper we concentrate upon connections between inquisitiveness, being the core concept of INQ, and question raising, characterized in IEL by means of the concepts of question evocation and erotetic implication. We consider the basic system InqB of INQ, remain at the propositional level and show, inter alia, that: (1) a disjunction of all the direct answers to an evoked question is always inquisitive; (2) a formula is inquisitive if, and only if it evokes a yes–no question whose affirmative answer expresses a possibility for the formula; (3) inquisitive formulas evoke questions whose direct answers express all the possibilities for the formulas, and (4) each question erotetically implies a question whose direct answers express the possibilities for the direct answers to the implying question.
Highlights
This paper focuses on interrelations between two notions: question raising and inquisitiveness
We prove that a formula is inquisitive if, and only if the formula evokes a yes–no question whose affirmative answer expresses a possibility for the formula
We show that an inquisitive formula evokes a question whose direct answers express all the possibilities for the formula
Summary
This paper focuses on interrelations between two notions: question raising and inquisitiveness. The former is in the centre of attention of inferential erotetic logic (IEL), while the latter is the core concept of inquisitive semantics (INQ). Work on this paper was supported by funds of the National Science Centre, Poland (DEC-2012/04/A/HS1/00715)
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