Philosophy Lexicon of Arguments

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Quantifiers: in the predicate logic, quantifiers are the symbol combinations (Ex) and (x) for the set of objects to which one or more properties are attributed to. A) Existence quantification (Ex)(Fx) ("At least one x"). B) Universal quantification (x)(Fx) ("Everything is F"). For other objects e.g. y, z,… are chosen. E.g. (x) (Ey) (Fx > Gy). See also quantification, generalized quantifiers.

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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.

 
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P. Lorenzen Ein dialogisches Konstruktivitätskriterium (1959) in Karel Berka/L. Kreiser Logik Texte Berlin, 1983

Berka I 269
Quantifiers/Dialogical Logic/Lorenzen:
Existential quantification: whoever claims (Ex)A(x), must claim A(n) for an n chosen by himself. (s) It does not matter whether proponent or opponent.
Universal quantification: whoever claims (x)A(x) must claim A(n) for every n chosen by the opponent.


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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.

Lorn I
P. Lorenzen
Constructive Philosophy Cambridge 1987

Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983


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Ed. Martin Schulz, access date 2017-11-17