Philosophy Dictionary of ArgumentsHome
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| 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. | |||
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Max Black on Numbers - Dictionary of Arguments
II 125 Numerals/numbers/names/Black: numerals are unlike names for physical objects: E.g. "two people came in" here "two", is an adverb. - It can be transformed into "another and another". - That s not possible for "red". >Adverbs, >Proper names. BlackVsFrege: that shows that numbers are no special objects. BlackVsPlatonism. >Platonism._____________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. |
Black I Max Black "Meaning and Intention: An Examination of Grice’s Views", New Literary History 4, (1972-1973), pp. 257-279 In Handlung, Kommunikation, Bedeutung, G. Meggle (Hg), Frankfurt/M 1979 Black II M. Black The Labyrinth of Language, New York/London 1978 German Edition: Sprache. Eine Einführung in die Linguistik München 1973 Black III M. Black The Prevalence of Humbug Ithaca/London 1983 Black IV Max Black "The Semantic Definition of Truth", Analysis 8 (1948) pp. 49-63 In Truth and Meaning, Paul Horwich, Aldershot 1994 |
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Ed. Martin Schulz, access date 2024-04-28