Philosophy Lexicon of Arguments

 
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Books on Amazon
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.


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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.

Wa I
F. Waismann
Einführung in das mathematische Denken Darmstadt 1996

Wa II
F. Waismann
Logik, Sprache, Philosophie Stuttgart 1976


> Counter arguments against Waismann

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Ed. Martin Schulz, access date 2017-09-23