%0 Journal Article %T A Detailed Examination of Methods for Unifying, Simplifying and Extending Several Results About Self-Justifying Logics %A Dan E. Willard %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1108.6330v8