Articles liés à Space, Number, and Geometry from Helmholtz to Cassirer
Space, Number, and Geometry from Helmholtz to Cassirer - Couverture rigide
Livre 22 sur 43: Archimedes
Synopsis
Helmholtz's Relationship to Kant.- The Discussion of Kant's Transcendental Aesthetic.- Axioms, Hypotheses, and Definitions.- Number and Magnitude.- Projective Metric and the Concept of Space.- Euclidean and Non-Euclidean Geometries in the Interpretation of Physical Measurements.- Non-Euclidean Geometry and Einstein's General Relativity: Cassirer's View in 1921.
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À propos de l'auteur
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.
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Space, Number, and Geometry from Helmholtz to Cassirer (eng)
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Space, Number, and Geometry from Helmholtz to Cassirer
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Springer, 2016
ISBN 10 : 3319317776
ISBN 13 : 9783319317779
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Hardcover. Etat : FN. Octavo. 9.5" x 6.5" 238 pp. Volume 46 in the Archimedes : New Studies in the History and Philosophy of Science and Technology series. A Fine copy. N° de réf. du vendeur 67429
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Space, Number, and Geometry from Helmholtz to Cassirer
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Springer International Publishing Aug 2016, 2016
ISBN 10 : 3319317776
ISBN 13 : 9783319317779
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 260 pp. Englisch. N° de réf. du vendeur 9783319317779
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Space, Number, and Geometry from Helmholtz to Cassirer
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Space, Number, and Geometry from Helmholtz to Cassirer
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Springer International Publishing, 2016
ISBN 10 : 3319317776
ISBN 13 : 9783319317779
Neuf
Couverture rigide
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a new historical reconstruction of the philosophical debate on non-Euclidean geometry in neo-KantianismBrings a new approach to Helmholtz s philosophy of mathematicsRelevance for the current debate about the relativi. N° de réf. du vendeur 118315975
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Space, Number, and Geometry from Helmholtz to Cassirer
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783319317779
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Space, Number, and Geometry from Helmholtz to Cassirer (Archimedes)
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Space, Number, and Geometry from Helmholtz to Cassirer
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Springer, Springer Aug 2016, 2016
ISBN 10 : 3319317776
ISBN 13 : 9783319317779
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch. N° de réf. du vendeur 9783319317779
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Space, Number, and Geometry from Helmholtz to Cassirer (Archimedes)
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