Philosophy Lexicon of Arguments

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Addition: elementary arithmetic, which is usually characterized by associativity and commutativity and a neutral zero element.

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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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III 71:
Plus sign/ and / Addition / Frege: if you use "and" as in "Bunsen and Kirchhoff" then 1 and 1 and 1 is not equal to 3, but 1 - E.g. Gold and gold and gold is never anything other than gold - it follows: 1. if we consider the number as a summary of different, we get a accumulation, and that’s not the number - 2. a summary of the same: we always get the 1 as a result.


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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.

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


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Ed. Martin Schulz, access date 2017-10-24