Philosophy of Geometry from Riemann to Poincaré

Author:   R. Torretti
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1984
Volume:   7
ISBN:  

9789027718372


Pages:   461
Publication Date:   31 December 1984
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Philosophy of Geometry from Riemann to Poincaré


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Full Product Details

Author:   R. Torretti
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   Softcover reprint of the original 1st ed. 1984
Volume:   7
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   1.470kg
ISBN:  

9789027718372


ISBN 10:   9027718377
Pages:   461
Publication Date:   31 December 1984
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

'...a carefull and scholarly discussion of the history and philosophy of geometry from the 1850's, marked by Riemann's generalized conception of space, and ending with Hilbert's axiomatics and Poincare's conventionalism at the beginning of the century.' The Modern Schoolman 'This is a deeply learned, scrupulously careful, very informative book which was well worth writing... In sum, Toretti has written carefully, with much insight, deep and broad learning, and sober judgement on a topic of profound difficulty and interest.' Australian Journal of Philosophy 'Torretti has written a very useful book which helps fill a large gap in the literature on the philosophy of mathematics.' The Philosophical Quarterly 'It delves into the contributions of many neglected writers and dispells myths concerning the contributions of others, which have too often been perpetuated in the philosophical literature... I suggest that it deserves to become a standard word.' Dialogue


...a carefull and scholarly discussion of the history and philosophy of geometry from the 1850's, marked by Riemann's generalized conception of space, and ending with Hilbert's axiomatics and PoincarA(c)'s conventionalism at the beginning of the century.' The Modern Schoolman This is a deeply learned, scrupulously careful, very informative book which was well worth writing... In sum, Toretti has written carefully, with much insight, deep and broad learning, and sober judgement on a topic of profound difficulty and interest.' Australian Journal of Philosophy Torretti has written a very useful book which helps fill a large gap in the literature on the philosophy of mathematics.' The Philosophical Quarterly It delves into the contributions of many neglected writers and dispells myths concerning the contributions of others, which have too often been perpetuated in the philosophical literature... I suggest that it deserves to become a standard word.' Dialogue


`...a carefull and scholarly discussion of the history and philosophy of geometry from the 1850's, marked by Riemann's generalized conception of space, and ending with Hilbert's axiomatics and Poincare's conventionalism at the beginning of the century.' The Modern Schoolman `This is a deeply learned, scrupulously careful, very informative book which was well worth writing... In sum, Toretti has written carefully, with much insight, deep and broad learning, and sober judgement on a topic of profound difficulty and interest.' Australian Journal of Philosophy `Torretti has written a very useful book which helps fill a large gap in the literature on the philosophy of mathematics.' The Philosophical Quarterly `It delves into the contributions of many neglected writers and dispells myths concerning the contributions of others, which have too often been perpetuated in the philosophical literature... I suggest that it deserves to become a standard word.' Dialogue


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