A Hierarchical Characterization of Ignorance in Epistemic Logic [Special Issue]
Issue: Issue 16 • Author/s: Alessandro Aldini, Pierluigi Graziani, Mirko Tagliaferri
Topics: Epistemology, Logic, Modal Logic, Philosophy of language, Theoretical philosophy
We study different forms of ignorance and their correlations in a bi-modal logical language expressing the two modalities of knowledge and belief. In particular, we are mainly interested in clarifying which definitions of ignorance and which circumstances trigger higher-order forms of ignorance, inducing ignorance about ignorance and so on. To this aim, three ground conditions concerning knowledge and belief are presented, which may be seen as a cause of ignorance and can help us to identify the conditions enabling the emergence of higher-order forms of ignorance.