|Circularity: Circularity is an expression for the problem that something cannot be explained by itself. The problem arises, for example, when, in an attempted definition, no independent second expression is found for an object or for the relations of this object to other objects. See also circle, vicious circle principle, totality, wholes, type theory, self-reference. _____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
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Vicious Circle Principle/Russell: No totality can contain elements that are solely specified via this totality itself.
The Foundation a sentence must be outside of the sentence.
V 186 that captures not totalities of ordinary material things, because none of these contains elements that would that are specifiable only via this totality. - E.g. we can specify Friedrich in the regiment as the tallest man, but this can not be the only way to single him out.
Vicious Circle Principle/Sainsbury /(s): e.g. precludes heterology: R e R iff ~ R e R. - because R is specifiable here only by the totality of R.)._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Me I Albert Menne Folgerichtig Denken Darmstadt 1988
HH II Hoyningen-Huene Formale Logik, Stuttgart 1998
Re III Stephen Read Philosophie der Logik Hamburg 1997
Sal IV Wesley C. Salmon Logik Stuttgart 1983
Sai V R.M.Sainsbury Paradoxien Stuttgart 2001