Dictionary of Arguments

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Similarity: conformity of one or more - but not all - properties of two or more objects.

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 89 f
Number/Frege: is an abstract object - not a property (see below).
Equality of Numbers/Numerical Equality/Equality: is a term (not a subject).
I 94
Equality/Frege: if a = b is true can be found out by introducing a third element: a mark - is there a c, for which the following applies: a = c and b = c? - ((s) tertium comparationis) - ((s) here: E.g. equality in terms of numbers).
I 95
Equality/Frege: ((s) Equality of Numbers/Numerical Equality/(s) is a concept, not an object - we need it here.)
Frege: assuming equality simpliciter would demand that it would have to be re-explained in any case, by establishing an equation.
I 95
Direction/Frege: we can obtain the concept of direction from the parallelism of straight lines - by conceiving a II b as an equation. - From this we abstract the concept of direction. - Also with parallelism the concept of equality is established first. - ((s) But not the equality of direction).
I 96
Direction/Frege: cannot be distinguished from the straight.
I 102
Equality of Numbers/Numerical Equality/Numbers/Definition/Frege/(s): Quantity can be defined by numerical equality, because there is no need to count for numerical equality! - E.g. assigning knives to plates without counting.

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.

G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

G. Frege
Logische Untersuchungen Göttingen 1993

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Ed. Martin Schulz, access date 2019-05-21
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