Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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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.
>a priori, >synthetic 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.
>Mathematics/Russell.
Today (1947) it is often said that logic is a system of tautologies and mathematics is a >part of logic.

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