On the Logic of Interrogative Inquiry

In Jaakko Hintikka's interrogative model of inquiry, the strategic principles governing empirical inquiry turn out to be closely related to those governing deductive reasoning. Hence it is important to study the precise analogies which obtain between deductive logic and interrogative inquiry. The basic concept of the interrogative model is the relation of model consequence $\text{M}\colon \text{T}\vdash \text{C}$. It is said to obtain iff C can be derived from T by means of an interrogative process in the model M. We prove here a counterpart of Craig 's interpolation theorem for the concept of model consequence. The interrogative analogue to definability is a logical generalization of methodologists' concept of identifiability. For this concept, we prove an analogue to Beth's theorem. Some further philosophical consequences of these results are mentioned. For instance, identifiability is a good rational reconstruction of the idea of observability
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Sebastian Enqvist (2009). Interrogative Belief Revision in Modal Logic. Journal of Philosophical Logic 38 (5):527 - 548.
Jaakko Hintikka (1992). Theory-Ladenness of Observations as a Test Case of Kuhn's Approach to Scientific Inquiry. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:277-286.

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