Philosophy Lexicon of Arguments

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d’Abro, A.
 
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Hilbert, D. A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967

36
Hilbert's postulate system has 21 postulates that should define relationships between points, lines, and planes.
E.g. Continuity had been assumed tacitly by Euclid, and was explicitly demanded by Hilbert. ("Archimedean Postulate") Euclid was unconsciously guided by the idea of solid bodies.

Definition "Archimedean Postulate"/Hilbert: Assumption of Continuity (was assumed tacitly in Euclid).
d’Abro, A.




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Ed. Martin Schulz, access date 2017-03-30