%0 Journal Article %1 riemann1873hypotheses %A Riemann, Bernhard %C London %D 1873 %E Clifford, William Kingdon, trans. %J Nature %K Riemann geometry hypotheses %N 183, 184 %P 14-17, 36, 37 %T On the hypotheses which lie at the bases of geometry %U http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Geom/ %V VIII %X Plan of the Investigation. It is known that geometry assumes, as things given, both the notion of space and the first principles of constructions in space. She gives definitions of them which are merely nominal, while the true determinations appear in the form of axioms. The relation of these assumptions remains consequently in darkness; we neither perceive whether and how far their connection is necessary, nor a priori, whether it is possible.

@article{riemann1873hypotheses, abstract = {Plan of the Investigation. It is known that geometry assumes, as things given, both the notion of space and the first principles of constructions in space. She gives definitions of them which are merely nominal, while the true determinations appear in the form of axioms. The relation of these assumptions remains consequently in darkness; we neither perceive whether and how far their connection is necessary, nor a priori, whether it is possible. }, added-at = {2012-04-21T00:52:04.000+0200}, address = {London}, author = {Riemann, Bernhard}, biburl = {https://www.bibsonomy.org/bibtex/2594b40ddeb8177738ce5a0329f291e1e/cenderjk}, description = {Original and translation of Bernhard Riemann's Habilitation lecture of 1854, Ueber die Hypothesen, welche der Geometrie zu Grunde liegen, published by Richard Dedekind after Riemann's death, in Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, vol. 13, 1867.}, editor = {{Clifford, William Kingdon}, trans.}, interhash = {1c2d669870c72609f8cc09e63664e943}, intrahash = {594b40ddeb8177738ce5a0329f291e1e}, journal = {Nature}, keywords = {Riemann geometry hypotheses}, month = may, note = {doi:10.1038/008014a0}, number = {183, 184}, pages = {14-17, 36, 37}, refid = {doi:10.1038/008014a0}, timestamp = {2012-04-21T00:59:09.000+0200}, title = {On the hypotheses which lie at the bases of geometry}, url = {http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Geom/}, volume = {VIII}, year = 1873 }