Computational verb systems: The paradox of the liar

Abstract

In this paper, the paradox of the liar is studied in the framework of (computational) verb logic. Unlike other research on liar's paradox, which were based on classical logical or fuzzy logic framework, the study of liar's paradox in verb logic emphasizes the contribution of verbs to the perception of TRUTH in verb statements or sentences. A new interpretation of the paradox of the liar under verb logic is presented. Then the conditions under which verb liar's paradoxes occur are presented based on BE-transformations. Based on different paradoxical functions, the concepts of strong and weak verb paradoxes are presented. The main conclusion is that liar's paradoxes in verb logic are dynamical processes with time-varying degrees of being paradox (paradoxical value) and are sensitive to different contexts; namely, different BE-transformations. Another conclusion is that in natural language systems, weak verb paradoxes can be used intuitively correctly due to the uncertainties in brain dynamics and can be useful for expressing human emotions. © 2001 John Wiley & Sons, Inc.