Philosophy Dictionary of ArgumentsHome
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| Domain: In model theory a set of defined objects, for which a model is satisfiable. In logic a set of objects that can be related to statements._____________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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Logic Texts on Domains - Dictionary of Arguments
Read III 57 Substitution criterion/VsSubstitution criterion/VsBolzano: leads to absurd results: because it declares certain invalid inferences for valid. E.g. "there are at least two things." It is not a matter of logic, that there are at least two things - one can just as well say "there are two things, so there are 76 things". Solution/Tarski: establish a domain. - Then: "There are at least 2 things" might be falsified and is not a logical truth any more. >Domain, >Criteria, >Substitution. _____________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 Re III St. Read Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press German Edition: Philosophie der Logik Hamburg 1997 |
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> Counter arguments in relation to Domains
Ed. Martin Schulz, access date 2024-04-27