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OverviewFull Product DetailsAuthor: R. TorrettiPublisher: 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: 9789027718372ISBN 10: 9027718377 Pages: 461 Publication Date: 31 December 1984 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print ![]() 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 Contents1 / 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |