Graduate studies at Western
Notre Dame Journal of Formal Logic 54 (1):87-104 (2013)
|Abstract||In this paper a logic for reasoning disquotationally about truth is presented and shown to have a standard model. This work improves on Hartry Field's recent results establishing consistency and omega-consistency of truth-theories with strong conditional logics. A novel method utilising the Banach fixed point theorem for contracting functions on complete metric spaces is invoked, and the resulting logic is shown to validate a number of principles which existing revision theoretic methods have heretofore failed to provide.|
|Keywords||liar paradox non-classical logic contractionless logic Curry's paradox|
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