|Number of... (Anzahl, amount): Result of counting unlike a number that has not yet been determined. Frege used "Anzahl" (amount) to define numbers._____________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. |
Number of/Anzahl/Frege: term - Number/Frege: object.
Number of/Anzahl/Frege: is no multiplicity. - That would exclude 0 and 1.
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".
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.
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".
Number/fall under/covered by/Frege: objects fall under concepts. - In contrast: numbers (of) belong to terms - number of = term scope._____________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.
Die Grundlagen der Arithmetik Stuttgart 1987
Funktion, Begriff, Bedeutung Göttingen 1994
Logische Untersuchungen Göttingen 1993