|
Knowledge is a Diamond
Punčochář, Vít
In the standard epistemic logic, the knowledge operator is represented as a box operator, a universal quantifier over a set of possible worlds. There is an alternative approach to the semantics of knowledge, according to which an agent a knows a proposition iff a has a reliable (e.g. sensory) evidence that supports the proposition. In this interpretation, knowledge is viewed rather as an existential, i.e. a diamond modality. In this paper, we will propose a formal semantics for substructural logics that allows to model knowledge on the basis of this intuition. The framework is strongly motivated by a similar semantics introduced by (Bílková, Majer, Peliš, 2016). However, as we will argue, our framework overcomes some unintuitive features of the semantics from (Bílková, Majer, Peliš, 2016). Most importantly, knowledge does not distribute over disjunction in our logic.
|