Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
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Theses I
Theses II

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I 50
Arithmetics/Waisman: arithmetics is based on logic. In doing so, one makes strong use of terms of the set theory, or the class calculus. The assertion that mathematics is only a >"part of logic" includes two theses, which are not always clearly separated:

(A) The basic concepts of arithmetic can be traced back by definition to purely logical ones.
(B) The principles of arithmetic can be deduced by means of proof from purely logical propositions.
>Basic concepts, >Propositions, >Definitions, Definability.

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