Economics Dictionary of Arguments

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Existential quantification, logic: formalizing the statement that in a specified domain there is at least one object with a certain property. The quantification consists of a quantifier "(∃x)" "for some x", a variable for objects "x" and one or more variables for the predicates F, G ... - The quantification does not claim the existence of the properties ascribed. See also universal quantification, quantification, quantifiers, logic, second order logic, HOL, schematic letters, predicates.
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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

Ludwig Wittgenstein on Existential Quantification - Dictionary of Arguments

II 37
Name/function/Wittgenstein: (Ex) .fx. - The values of (Ex) are proper names. >Quantification
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II 234
Existential quantification/Variable/Domain/Value/Russell/Wittgenstein: (Ex).fx: Russell regards the "x" in brackets so, as if it were a thing - e.g. "I met a thing which is a man" - WittgensteinVsRussell: the "x" stands for men, not for things - (see I 201: not "this is soz" but "this color is soz"). >Existence statements.

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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.

W II
L. Wittgenstein
Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980
German Edition:
Vorlesungen 1930-35 Frankfurt 1989

W III
L. Wittgenstein
The Blue and Brown Books (BB), Oxford 1958
German Edition:
Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984

W IV
L. Wittgenstein
Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921.
German Edition:
Tractatus logico-philosophicus Frankfurt/M 1960


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