Philosophy Lexicon of Arguments

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Hilbert, D.: German Mathematician, 1862 – 1943. Inter alia representative of the Formalism.

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

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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).


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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.
d’Abro, A.


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Ed. Martin Schulz, access date 2017-10-22