Title:	Space, Number, and Geometry from Helmholtz to Cassirer
Authors:	Biagioli, Francesca Francesca Biagioli
Keywords:	Geometry from Helmholtz
Issue Date:	2016
Publisher:	Springer
Description:	This book offers a reconstruction of the debate on non-Euclidean geometry in neoKantianism between the second half of the nineteenth century and the fi rst decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientifi c developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes mathematicians such as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which found one
URI:	http://10.6.20.12:80/handle/123456789/76478
ISBN:	978-3-319-31779-3
Appears in Collections:	History

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