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Knowledge and its Limits$
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Timothy Williamson

Print publication date: 2002

Print ISBN-13: 9780199256563

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/019925656X.001.0001

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Margins and Iterations

Margins and Iterations

Chapter:
(p.114) 5 Margins and Iterations
Source:
Knowledge and its Limits
Author(s):

Timothy Williamson

Publisher:
Oxford University Press
DOI:10.1093/019925656X.003.0006

The anti‐luminosity argument is used to refute the KK principle that if one knows and one knows that one knows, or at least is in a position to know that one knows. Further iterations of knowledge are shown to involve similar cognitive gaps. The underlying phenomenon is diagnosed in terms of the need for a margin for error in knowledge. It is related to a family of ideas such as safety, reliability, robustness, stability, and close or easy possibility. The account is extended to knowledge of what others know.

Keywords:   easy possibility, error, iteration, KK principle, Margin, reliability, robustness, safety, stability

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