The vicious circle theorem – a graph-theoretical analysis of dialectical structures

Argumentation 19 (1):53-64 (2005)
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Abstract

This article sets up a graph-theoretical framework for argumentation-analysis (dialectical analysis) which expands classical argument-analysis. Within this framework, a main theorem on the existence of inconsistencies in debates is stated and proved: the vicious circle theorem. Subsequently, two corollaries which generalize the main theorem are derived. Finally, a brief outlook is given on further expansions and possible applications of the developed framework.

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Gregor Betz
Karlsruhe Institute of Technology