Philosophy Dictionary of ArgumentsHome | |||
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Similarity: Similarity is the conformity of one or more - but not all - properties of two or more objects. See also Identity, Equality, Properties, Predicates, Predication, Identification, Descriptions._____________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 | Concept | Summary/Quotes | Sources |
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G. Frege on Similarity - Dictionary of Arguments
I 89 f Number/Frege: the number is an abstract object - not a property (see below). Equality of Numbers/numerical equality/equality: numerical equality is a term (not a subject). >Numbers, >Objects. 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. >Concepts. 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: direction 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. >Definition._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" 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 |