Philosophy Lexicon of Arguments

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Universal quantification: an operator, which indicates that the following expression is a statement about all the objects in the considered domain. Notation "(x)" or "∀x". Ex. E.g. (x) (Fx ∧ Gx) everyday language "All Fs are Gs." .- Antonym
 
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Carnap, Rudolf
 
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Universal Quantification IX 9
all / Frege: the negation had to be put before "all" - it follows that "all" is a part of the predicate - "not all" is not truth-functional because of the negation - Solution: conditional instead - Russell: all universal statements are hypothetical.
(Sinnreich, Philosophie der idealen Sprache).

Ca I
R. Carnap
Die alte und die neue Logik
In
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996

Ca III
R. Carnap
Philosophie als logische Syntax
In
Philosophie im 20.Jahrhundert, Bd II, A. Hügli/P.Lübcke (Hg), Reinbek 1993

Ca IV
R. Carnap
Mein Weg in die Philosophie Stuttgart 1992

Ca VI
R. Carnap
Der Logische Aufbau der Welt Hamburg 1998

CA VII = PiS
R. Carnap
Sinn und Synonymität in natürlichen Sprachen
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982

Ca VIII (= PiS)
R. Carnap
Über einige Begriffe der Pragmatik
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982


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Ed. Martin Schulz, access date 2017-04-26