Philosophy Dictionary of ArgumentsHome
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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_____________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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Gottlob Frege on Universal Quantification - Dictionary of Arguments
IV 99 Universal Quantification/Frege: a universal quantification is a class under a class. An existential quantification is an individual under a class. IV 100 "Are" and "is" do not have any content, that is, they are copula and do not have identity. >Quantification, >Existential quantification, >Classes, >Sets, >Copula, >Logical constants, >Identity._____________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. |
F I G. Frege Die Grundlagen der Arithmetik Stuttgart 1987 F II G. Frege Funktion, Begriff, Bedeutung Göttingen 1994 F IV G. Frege Logische Untersuchungen Göttingen 1993 |
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> Counter arguments against Frege
> Counter arguments in relation to Universal Quantification
Ed. Martin Schulz, access date 2024-04-28