|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. |
|Hintikka I 107
Scope/Quantification/Quantifier/Lakoff/Hintikka: Restrictions for quantified expressions:
Thesis: the quantifier of a superordinate theorem has a wider scope than that of the embedded proposition.
Thesis: within a sentence, the quantifier has priority over the right-hand side.
Lit: Lakoff 1971, „On generative semantics“, 232ff, 244ff._____________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.
Where Mathematics Come From: How The Embodied Mind Brings Mathematics Into Being 2001
On generative semantics Bloomington 1969
Merrill B. Hintikka
The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989
J. Hintikka/M. B. Hintikka
Untersuchungen zu Wittgenstein Frankfurt 1996