Philosophy Lexicon of Arguments

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Analytic/synthetic: achieved by decomposition or by composition. In philosophy analytically true = true according to the meaning of the components - synthetic insight = substantial expansion of knowledge.

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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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I XII
Analytic/synthetic/Waismann:
Mill and Mach claimed that mathematical propositions were of empirical origin,

Kant, the arithmetic and geometrical propositions are synthetic judgments a priori.

Poincaré: although arithmetic propositions are synthetically a priori, but the geometric ones are analytical.

Frege: the arithmetical ones are analytical, the geometric ones are synthetic.

Russell: all mathematical propositions are analytical.

Today (1947) it is often said that logic is a system of tautologies and mathematics is a part of logic.


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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


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Ed. Martin Schulz, access date 2017-11-24