Saturday, March 26, 2011

Circularity, Reason, Time

While Reason and Circularity have traditionally both been classified as denizens of an eternal realm, the latter has often been construed as antithetical to the former. That is, circular reasoning is recognized as fallacious when it, e. g., concludes A on the basis of the conjunction of A implies B and B implies A. On the other hand, in Coherence theories of Truth, co-implication suffices for the truth of constituent propositions. Still, there is a different respect in which Circularity is not merely not a vice for Reason, but illuminates it--when a Circle is considered as a two-dimensional figure. As the use of Venn Diagrams demonstrates, concentric circles illustrate the relation of logical entailment that is the essence of Reasoning, and demonstrates, in particular, the asymmetrical relation between an entailing proposition and an entailed proposition. In that respect, the essence of Reason is the same as the essence of Time, which, as the Tree Ring theory similarly expresses, consists in the asymmetrical ordering of distinct moments--an ordering of more comprehensive and less comprehensive.

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