Philosophy Dictionary of ArgumentsHome | |||
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"Everything he said is true": This is about a logical problem of self-reference within a domain. See also completeness, truth, paradoxes._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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Logic Texts on Everything he said is true - Dictionary of Arguments
Sainsbury V 187 "Everything he said is true": vicious circle principle: everything he said can be specified only when referring to the totality of the elements. - But this is no paradox, since this totality does not include my statement. - ((s) If the text is again present as a material thing (document), there is no problem.) V 186 Russell: Vicious Circle Principle, (Gödel: "Circular Error Principle"). PT: No set can contain elements that can only be fully specified (defined) by means of this set itself. Sainsbury: PT does not cover aggregates of ordinary material things, because none of them contains elements that can only be specified (defined) by this aggregate itself. For example, we can specify Frederick as the tallest man in the regiment, but it cannot be the only way to pick him out. V 187 The PT does not seem to grasp sentences when imagined as signs or forms, because they can be specified in all sorts of independent ways, like material things, not all of which contain any totality. "Everything he said"/PT/Sainsbury: Problem: e.g., "Everything you said in your radio address was rubbish". This can only be fully specified by the totality of the statements. But there is no paradox, because the totality of your statements (radio address) does not include my statement. Both together would then be a greater totality. >Paradoxes._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Logic Texts 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 Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983 Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001 Sai I R.M. Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 German Edition: Paradoxien Stuttgart 1993 |