|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. |
|Re 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._____________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