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Circular definitions,circular explanations,and infinite regresses
Authors:Claude Gratton
Affiliation:(1) Department of Philosophy, Laurentian University, Ramsey Lake Road, P3E 2C6 Sudbury, Ontario, Canada
Abstract:This paper discusses some of the ways in which circular definitions and circular explanations entail or fail to entail infinite regresses. And since not all infinite regresses are vicious, a few criteria of viciousness are examined in order to determine when the entailment of a regress refutes a circular definition or a circular explanation.I would like to thank Professors Robert Tully, Howard Sobel, and Derek Allen for their constructive comments.
Keywords:Circular definition  definiendum  definiens  principle of substitutivity  circular explanation  explanandum  explanans  infinite regress  concatenating regress  vicious regress  superflous regress  harmless regress  beginningless process  endless process  asymmetric and transitive relation
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