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Author:   R. Torretti
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   1978 ed.
Volume:   7
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.870kg
ISBN:  

9789027709202

ISBN 10:   9027709203
Pages:   461
Publication Date:   30 November 1978
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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 Poincar '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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