Philosophy Dictionary of ArgumentsHome
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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._____________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 on Quantifiers - Dictionary of Arguments
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.(1) >Existential quantification, >Universal quantification, >Dialogical logic, cf. >Scorekeeping model. 1. P. Lorenzen, Ein dialogisches Konstruktivitätskriterium, in: Infinitistic Methods, (1961), 193-200_____________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. |
Lorn I P. Lorenzen Constructive Philosophy Cambridge 1987 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |
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> Counter arguments against Lorenzen
> Counter arguments in relation to Quantifiers
Ed. Martin Schulz, access date 2024-04-19