Set Theory and Logic


A Difficulty in Proof Theory

Authors: Thomas Colignatus

Adding some reasonable properties to the Gödelian system of Peano Arithmetic creates a new system for which Gödel's completeness theorems collapse and the Gödeliar becomes the Liar paradox again. Rejection of those properties is difficult since they are reasonable. Three-valued logic is a better option to deal with the Liar and its variants.

Comments: 10 Pages. Paper of 2007, written in Mathematica

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[v1] 2014-12-25 05:58:23

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