﻿ Gottlob Frege on Number of (Amount) - Dictionary of Arguments

# Dictionary of Arguments

Number of... (Anzahl, amount): Result of counting unlike a number that has not yet been determined. Frege used "Anzahl" (amount) to define numbers.

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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 Item Summary Meta data
I 47
Number of/Anzahl/Frege: term - Number/Frege: object.
I 60
Number of/Anzahl/Frege: is no multiplicity. - That would exclude 0 and 1.
I 100/101
Def Number of/Frege: the number which belongs to the concept F, the scope of the term is "the same number (of) as the concept F".
I 100
Scope/Term scope/Frege: if the straight line a is parallel to the straight line b, the scope of the term "straight line parallel to the line a" is equal to the scope of the term "straight line parallel to the line b" and vice versa. - Scope equality.
I 101
Number of/Frege: belongs to a concept. - E.g. the term F - it is then the scope of the term "equal in number to the term F".
I 107
Number/fall under/covered by/Frege: objects fall under concepts. - In contrast: numbers (of) belong to terms - number of = term scope.

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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.
The note [Author1]Vs[Author2] or [Author]Vs[term] 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

> Counter arguments against Frege

Ed. Martin Schulz, access date 2019-04-26