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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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.

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 2017-05-25