@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 28 Mar 2024}, author = {d’Abro,A.}, subject = {Riemann}, note = {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.}, note = { d’ Abro I A. d’ Abro The Rise of the New Physics Mineola, NY 1951 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=821777} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=821777} }