Philosophy Dictionary of ArgumentsHome | |||
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Addition: elementary arithmetic, which is usually characterized by associativity and commutativity and a neutral zero element._____________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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Gottlob Frege on Addition - Dictionary of Arguments
I 71 Plus sign/and/addition/Frege: if you use "and" as in "Bunsen and Kirchhoff" then 1 and 1 and 1 does not equal 3, but 1. E.g.: gold and gold and gold is never anything other than gold. What follows is: 1. If we consider the number as a summary of different things, we get a accumulation, and that is not the number. 2. A summary of the same: we always get the 1 as a result. >Numbers._____________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 |