|Term scope: according to Frege a class, to which the concept applies, not the concept itself._____________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. |
Term scope/Frege: if two concepts have the same scope, two functions have accordingly the same value range.
Def Number/amount/Frege: the set which belongs to the concept F is the scope of the concept "numerically equal to the concept F".
Scope/term scope/Frege: if straight line a is parallel to the straight line b, then the scope of the concept "straight line parallel to straight line a" is equal to the scope of the concept "straight line parallel to straight line b", and vice versa. - Equality of term scope.
Subject/predicate/concept/term scope/Frege: E.g. "All A are B". - False: that A was "subject" and B was "predicate" - correct: the predicate "is part of the class".
"Some"/FregeVsSchröder "some" is not a subject.
"Some" does not always designate the same part of a class. - This leads to contradictions "some" is considered as the subject.
Universal quantification/Frege: = class below class. - Existential quantification: individual below class.
"Are" and "is" have no content. - I.e.they are copula and not an identity.
Class/Frege: term scope, not concept.
Term scope/scope/Frege: does not have its existence in the individuals, but in the concept itself, i.e. in what is said about an object.
Scope/concept/term scope/Frege: the scope does not consist of the objects that fall under the concept like a forest consists of trees, but it only has a grip in the concept itself. - ((s) Thus, research may reveal that nothing falls under the concept)._____________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