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A Detailed Examination of Methods for Unifying, Simplifying and Extending Several Results About Self-Justifying Logics

Published 31 Aug 2011 in math.LO | (1108.6330v8)

Abstract: This paper will develop a single framework for unifying, simplifying and extending our prior results about axiom systems that retain a partial knowledge of their own consistency, via an axiomatic declaration of self-consistency. Its perhaps single most surprising new result will be its exploration of a viable alternative to conventional reflection principles.

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