Philosophy Dictionary of ArgumentsHome | |||
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Hilbert, D.: German Mathematician, 1862 – 1943. Inter alia representative of the Formalism._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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A. d’Abro on Hilbert - Dictionary of Arguments
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. Def "Archimedean Postulate"/Hilbert: Assumption of Continuity (was assumed tacitly in Euclid). >Axioms/Hilbert, >D. Hilbert as author, >Axioms, >Axiom systems._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
d’ Abro I A. d’ Abro The Rise of the New Physics Mineola, NY 1951 |