Francesca Biagioli. Space, Number, and Geometry from Helmholtz to Cassirer [Book Review]

Philosophia Mathematica (2) (2018)
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Abstract

© The Authors [2017]. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected] book Space, Number, and Geometry from Helmholtz to Cassirer is a reworked version of Francesca Biagioli’s PhD thesis. It aims ‘[to offer] a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century’. More precisely, Biagioli concentrates on how the Marburg school of neo-Kantianism dealt with what may be called ‘Helmholtz’s challenge’ to the classical Kantian thesis that the geometry of space is necessarily Euclidean. To be precise, besides the Marburg current, SNG also deals with some other neo-Kantians, among them the realist neo-Kantian Alois Riehl and the South-West German neo-Kantian Bruno Bauch.According to SNG, the Marburg revision of the Kantian theory of space opened the door to a new way...

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Thomas Mormann
Ludwig Maximilians Universität, München (PhD)

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References found in this work

Dynamics of Reason.Michael Friedman - 2001 - Philosophy and Phenomenological Research 68 (3):702-712.
Substance and Function & Einstein’s Theory of Relativity.Ernst Cassirer - 1923 - Mineola, N.Y.: Dover Publications. Edited by Ernst Cassirer.

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