|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. |
Def Equinumerous/Frege/Meixner: f is a property that is equinumerous with the property g = Def for at least a binary relation R: 1. Every entity that has f, stands to exactly one entity, that has g, in the relation R
2. If entities that have f, are different, then also entities with g
3. reversal of 1: any entity that has g
Numbers: one can then non-circularly define numbers: x is a natural number = x Def is a finite number property (Anzahl-Eigenschaft)
Number/Meixner: when conceived as a property, they are untyped functions._____________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.
Einführung in die Ontologie Darmstadt 2004