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Relative Truth$
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Manuel García-Carpintero and Max Kölbel

Print publication date: 2008

Print ISBN-13: 9780199234950

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780199234950.001.0001

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Margins for Error in Context

Margins for Error in Context

(p.103) 5 Margins for Error in Context
Relative Truth

Denis Bonnay

Paul Egré

Oxford University Press

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.

Keywords:   centered semantics, luminosity, introspection, knowledge iterations, context-shifting, two-dimensional semantics, actuality operators, epistemic logic

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