## Philosophy Lexicon of Arguments | |||

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Books on Amazon |
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. 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. _____________ 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 2017-10-20