Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern… Mehr…
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy., Springer<
Springer.com
Nr. 978-94-009-9909-1. Versandkosten:Worldwide free shipping, , plus verzendkosten., zzgl. Versandkosten Details...
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Philosophy of Geometry from Riemann to Poincaré: ab 213.99 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer Netherlands eBook als pdf, Springer Netherlands
eBook.de
Versandkosten:in stock, , , DE. (EUR 0.00) Details...
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Philosophy of Geometry from Riemann to Poincaré: ab 223.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer Netherlands eBook als pdf, Springer Netherlands
eBook.de
Versandkosten:in stock, , , DE. (EUR 0.00) Details...
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern… Mehr…
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy., Springer<
Nr. 978-94-009-9909-1. Versandkosten:Worldwide free shipping, , plus verzendkosten., zzgl. Versandkosten
Philosophy of Geometry from Riemann to Poincaré: ab 213.99 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer Netherlands eBook als pdf, Springer Netherlands
Philosophy of Geometry from Riemann to Poincaré: ab 223.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer Netherlands eBook als pdf, Springer Netherlands
1Da einige Plattformen keine Versandkonditionen übermitteln und diese vom Lieferland, dem Einkaufspreis, dem Gewicht und der Größe des Artikels, einer möglichen Mitgliedschaft der Plattform, einer direkten Lieferung durch die Plattform oder über einen Drittanbieter (Marketplace), etc. abhängig sein können, ist es möglich, dass die von eurobuch angegebenen Versandkosten nicht mit denen der anbietenden Plattform übereinstimmen.
Buch in der Datenbank seit 2017-04-14T12:51:11+02:00 (Berlin) Detailseite zuletzt geändert am 2024-05-27T16:24:53+02:00 (Berlin) ISBN/EAN: 9789400999091
ISBN - alternative Schreibweisen: 978-94-009-9909-1 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: torretti Titel des Buches: poincare
Daten vom Verlag:
Autor/in: R. Torretti Titel: Episteme; Philosophy of Geometry from Riemann to Poincaré - A Series in the Foundational, Methodological, Philosophical, Psychological, Sociological, and Political Aspects of the Sciences, Pure and Applied Verlag: Springer; Springer Netherland 461 Seiten Erscheinungsjahr: 2012-12-06 Dordrecht; NL Sprache: Englisch 213,99 € (DE) 220,00 € (AT) 236,00 CHF (CH) Available XIII, 461 p.
EA; E107; eBook; Nonbooks, PBS / Philosophie/Allgemeines, Lexika; Wissenschaftsphilosophie und -theorie; Verstehen; 19th century; Albert Einstein; Ernst Waldfried Josef Wenzel Mach; Interpretation; science; C; Philosophy of Science; Philosophical Foundations of Physics and Astronomy; History; Religion and Philosophy; Physik; Geschichte; Geschichtsschreibung, Historiographie; BB
1 / Background.- 1.0.1 Greek Geometry and Philosophy.- 1.0.2 Geometry in Greek Natural Science.- 1.0.3 Modern Science and the Metaphysical Idea of Space.- 1.0.4 Descartes’ Method of Coordinates.- 2 / Non-Euclidean Geometries.- 2.1 Parallels.- 2.2 Manifolds.- 2.3 Projective Geometry and Projective Metrics.- 3 / Foundations.- 3.1 Helmholtz’s Problem of Space.- 3.2 Axiomatics.- 4 / Empiricism, Apriorism, Conventionalism.- 4.1 Empiricism in Geometry.- 4.2 The Uproar of Boeotians.- 4.3 Russell’s Apriorism of 1897.- 4.4 Henri Poincaré.- 1. Mappings.- 2. Algebraic Structures. Groups.- 3. Topologies.- 4. Differentiable Manifolds.- Notes.- To Chapter 1.- To Chapter 2.- 2.1.- 2.2.- 2.3.- To Chapter 3.- 3.1.- 3.2.- To Chapter 4.- 4.1.- 4.2.- 4.3.- 4.4.- References.
Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
