Philosophy Dictionary of Arguments

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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.
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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

George Lakoff on Scope - Dictionary 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.
Cf. >Domains/Kripke.
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I 112
Lit: Lakoff 1971, „On generative semantics“, 232ff, 244ff.


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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.

Lako I
G. Lakoff
Where Mathematics Come From: How The Embodied Mind Brings Mathematics Into Being 2001

Lako II
George Lakoff
On generative semantics Bloomington 1969

Hintikka I
Jaakko Hintikka
Merrill B. Hintikka
Investigating Wittgenstein
German Edition:
Untersuchungen zu Wittgenstein Frankfurt 1996

Hintikka II
Jaakko Hintikka
Merrill B. Hintikka
The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989


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Ed. Martin Schulz, access date 2024-04-20
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