Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
[german]


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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. If F and G are incompatible predicates, and if the number m is assigned to the predicate F, and number n to G, the predicate F v G corresponds to the number m + n.
I 122
Extended function calculus: with the extended function calculus, 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)).(1)

>Natural deduction, >G. Gentzen, >Derivation, >Derivability, >Axioms, >Axiom systems,
>Calculus, >Logic.


1. D. Hilbert & W. Ackermann: Grundzüge der Theoretischen Logik, Berlin, 6. Aufl. Berlin/Göttingen/Heidelberg 1972, §§ 1,2.

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