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Bücher Englische Bücher Wissen & Bildung Geisteswissenschaft, Kunst, Musik Philosophie Allg. & Lexika Space, Number, and Geometry from Helmholtz to Cassirer
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Space, Number, and Geometry from Helmholtz to Cassirer
Francesca Biagioli (Gebundene Ausgabe, Englisch)
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Beschreibung
This book offers 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. 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 scientific 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 such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.08.2016
Sprache
Englisch
EAN
9783319317779
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Archimedes
Sonderedition
Nein
Autor
Francesca Biagioli
Seitenanzahl
239
Einbandart
Gebundene Ausgabe
Autorenporträt
Francesca Biagioli completed her PhD in philosophy and history of science at the University of Turin, Italy, in 2012. Her areas of specialization are Kant, neo-Kantianism, and the history of philosophy of science in the 19th Century. She is the author of articles about the philosophy of science of neo-Kantians such as Hermann Cohen, Alois Riehl and Ernst Cassirer, and scientists and mathematicians such as Hermann von Helmholtz and Otto Hölder.
Schlagwörter
Hermann von Helmholtz, Neo-Kantianism, Non-Euclidean Geometry, Physical Geometry, Space and Geometry, Spatial Intuition
Thema-Inhalt
QDH - Philosophische Traditionen und Denkschulen
PDA - Wissenschaftsphilosophie und -theorie
PH - Physik
PBM - Geometrie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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