Some Open Questions about Degrees of Paradoxes

Authors
Ming Hsiung
Zhongshan University
Abstract
We can classify the (truth-theoretic) paradoxes according to their degrees of paradoxicality. Roughly speaking, two paradoxes have the same degrees of paradoxicality, if they lead to a contradiction under the same conditions, and one paradox has a (non-strictly) lower degree of paradoxicality than another, if whenever the former leads to a contradiction under a condition, the latter does so under the very condition. This paper aims at setting forth the theoretical framework of the theory of paradoxicality degree, and putting forward some basic open questions about paradoxes around the notion of paradoxicality degree.
Keywords Degree of Paradoxicality  Digraph  Paradox  Revision Sequence  Truth
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