Chapter

An Application

Timothy Williamson

in Knowledge and its Limits

Published in print October 2002 | ISBN: 9780199256563
Published online November 2003 | e-ISBN: 9780191598678 | DOI: http://dx.doi.org/10.1093/019925656X.003.0007
 An Application

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The idea of margin for error of principles is used to analyse the Surprise Examination Paradox. Although the pupils in the story know that there will be a surprise examination, they do not know that they will know tomorrow that they will know the day after that …, because each iteration requires a further margin for error until nothing is left. A similar account is suggested for knowledge of rationality in Iterated Prisoner's Dilemma. Versions of the Surprise Examination Paradox in which the pupils know only that there will not be an expected examination are used to criticize alternative accounts of the paradox.

Keywords: error; iterationmargin; Prisoner's Dilemma; rationality; Surprise Examination Paradox

Chapter.  5806 words. 

Subjects: Metaphysics

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