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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Berka I 122
Addition/disjunction/union/Hilbert: the addition of the numbers can be traced back to the disjunction of predicates. - Are F and G incompatible predicates, and is the the number m assigned to the predicate F, and number n to the G, so the predicate F v G corresponds to the number m + n ((s)> Association).

I 122
Extended function calculus: with these, numerical equations such as 1 + 1 = 2 become purely logical, provable sentences. E.g. 1 + 1 = 2, logical form:

(F)(G)([Unv (F,G) & 1(F) & 1(G)] > 2(F v G))


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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.

Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983


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Ed. Martin Schulz, access date 2017-10-23