Margins for Error in Context

Abstract

Abstract Williamson's margin for error semantics for knowledge implies that knowledge cannot systematically imply knowledge of one's knowledge. Each new iteration of knowledge requires what is known to remain true in worlds that are further and further away from the initial context of evaluation, including worlds where the proposition can no longer be true. In previous work, it was argued that this tension can be solved by means of a richer, two-dimensional semantics for knowledge, called Centered Semantics. This chapter shows that Centered Semantics can be translated into a standard semantics with actuality operators. It discusses the contextualist implications of the semantics, in particular, regarding the knowledge a subject might have of her margins of error.

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