## Philosophy Lexicon of Arguments | |||

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 | Item | Excerpt | Meta data |
---|---|---|---|

Books on Amazon |
I 82 Number / definition / Carnap: "The number of the term f is two" means "there is an x and there is a y such that x is not identical to y, x falls under f, y falls under f, and for every z holds: if z falls under f, then z is identical with x or with y. " _____________ 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. |
Ca I R. Carnap Die alte und die neue Logik InWahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 Ca III R. Carnap Philosophie als logische Syntax InPhilosophie im 20.Jahrhundert, Bd II, A. Hügli/P.Lübcke (Hg), Reinbek 1993 Ca IV R. Carnap Mein Weg in die Philosophie Stuttgart 1992 Ca VI R. Carnap Der Logische Aufbau der Welt Hamburg 1998 CA VII = PiS R. Carnap Sinn und Synonymität in natürlichen Sprachen InZur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 Ca VIII (= PiS) R. Carnap Über einige Begriffe der Pragmatik InZur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 |

> Suggest your own contribution | > Suggest a correction | > Export as BibTeX Datei

Ed. Martin Schulz, access date 2017-08-19