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- W97151714 abstract "Circularity has been an important and vexing logical subject from the time of the Ancient Greeks on. A distinction has always been made between (i) a circular argument and (ii) a circular definition. An argument, of course, is a proof, a proof being an arrangement of statements in sequence or in a tree pattern following definite rules of deduction. A circular argument is one in which the conclusion of the argument is used as a premise in the proof, a fallacious reasoning to be discarded. A circular definition in turn is one in which the concept A is defined in terms of a concept B, and then B defined in terms of A. Most authorities have thought to this day that circular definitions are also to be discarded, although this has proved to be not always possible. Generally, though, the almost universal agreement has been to consider both kinds of circularity as logical defects. An extreme example of such position is that of Sextus Empiricus who claimed that all definitions, circular or not, are useless because they end up in an unavoidable regressus ad infinitum, hence his total scepticism concerning the viability of logic [1]." @default.
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- W97151714 date "2010-01-01" @default.
- W97151714 modified "2023-09-23" @default.
- W97151714 title "Formalizing Antinomic Terms and Predicates" @default.
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