Philosophy Dictionary of ArgumentsHome
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| Bernhard Riemann: Bernhard Riemann (1826 – 1866) was a German mathematician who made significant contributions to analysis, number theory, and differential geometry. He is best known for his work on the Riemann zeta function and the Riemann hypothesis, which is one of the most important unsolved problems in mathematics. The Riemann curvature tensor is essential for Einstein's theory of general relativity. See also Theory of Relativity, Spacetime, Space curvature._____________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 on Riemann - Dictionary of Arguments
A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967 41 Riemann/d'Abro: Riemann's great contribution to the development of non-Euclidean geometry was precisely the replacement of the restricted axiomatic method of the decomposition of postulates (as Bolyai and Lobachevski practiced it) by the more effective methods of analysis. Thus, Riemann has generalized the different types of non-Euclidean geometry. >Geometry, >Generalization. By rejecting it, it was also recognized that the axioms of Euclid could at least not be a priori. The mathematicians were forced to reject the Kantian assumption for all axioms, including the implied assumptions. >Axioms, >Axiom systems, >Euclid, >a priori._____________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 |
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Ed. Martin Schulz, access date 2024-04-19