Psychology Dictionary of ArgumentsHome
| |||
|
| |||
| Numbers: whether numbers are objects or concepts, has been controversial in the philosophical discussion for millennia. The most widely accepted definition today is given by G. Frege (G. Frege, Grundlagen der Arithmetik 1987, p. 79ff). Frege-inspired notions represent numbers as classes of classes, or as second-level terms, or as that with one measure the size of sets. Up until today, there is an ambiguity between concept and object in the discussion of numbers. See also counting, sets, measurements, mathematics, abstract objects, mathematical entities, theoretical entities, number, platonism._____________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 |
|---|---|---|---|
|
Plato on Numbers - Dictionary of Arguments
Gadamer I 416 Number/Word/Sign/Plato/Gadamer: One understands that not the word, but the number is the actual paradigm of the noetic, the number, whose naming is obviously pure convention and whose "precision" consists precisely in the fact that every number is defined by its position in the series and thus is a pure construct of intelligibility, an ens rationis, not in the weakening sense of its being, but in the sense of its perfect rationality. This is the actual result to which the "Cratylos" refers, and this result has a highly momentous consequence that in truth influences all further thinking about language. >Logos/Plato, >Word/Plato._____________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. |
Gadamer I Hans-Georg Gadamer Wahrheit und Methode. Grundzüge einer philosophischen Hermeneutik 7. durchgesehene Auflage Tübingen 1960/2010 Gadamer II H. G. Gadamer The Relevance of the Beautiful, London 1986 German Edition: Die Aktualität des Schönen: Kunst als Spiel, Symbol und Fest Stuttgart 1977 |
||
