How to Kripke Brandom's Notion of Necessity

In Bernd Prien & David P. Schweikard (eds.), Robert Brandom. Analytic Pragmatist. ontos (2008)
Abstract
In this paper we discuss Brandom's definition of necessity, which is part of the incompatibility sematnics he develops in his fifth John Locke Lecture. By comparing incompatibility semantics to standard Kripkean possible worlds semantics for modality, we motivate an alternative definition of necessity in Brandom's own terms. Our investigation of this alternative necessity will show that - contra to Brandom's own results - incompatibility semantics does not necessarily lead to the notion of necessity of the modal logic S5.
Keywords incompatibility semantics  modal logic  necessity  possible worlds  linguistic ersatzism
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