|Scope, range, logic, philosophy: range is a property of quantifiers or operators to be able to be applied to a larger or smaller range. For example, the necessity operator N may be at different points of a logical formula. Depending on the positioning, the resulting statement has a considerably changed meaning. E.g. great range "It is necessary that there is an object that ..." or small range "There is an object that is necessarily ....". See also quantifiers, operators, general invariability, stronger/weaker, necessity, Barcan Formula._____________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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|Re III 127f
Fake names/Quine: (= descriptions - only real names allow the substitution, which finds itself in the indistinguishability of the identical - fake: they lead to more complex forms: e.g. "There is one greatest among the Roman orators, and he accused Catilina" - e.g. "Exactly one number counts the planets and it is bigger than seven."/Russell: here, only 7 is a real name - therefore, these sentences cannot be upper and lower sentence in a conclusion of the principle of the indistinguishability of the identical - QuineVs: Problem: Scope: the descriptions must be eliminated in such a way that no new constituent will correspond to them in the new formulation.
Strobach I 104
Indistinguishability/Strobach: requires Logic of the 2nd level: predicate logic 2nd level/PL2/Strobach: typical formula: Leibniz's Law: "x = y > (Fx ↔ Fy)".
Re III 133/134
Scope/Descriptions/Possible World/Read: Narrow scope: the description refers to different objects in different possible worlds - wide scope: the same object in different possible worlds - real names: always large scope._____________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
Einführung in die Logik Darmstadt 2005