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|a 510.1
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|a UAMI
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|a Lautman, Albert.
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|a Les Mathematiques, les Idees et le Reel Physique.
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|a London :
|b Bloomsbury Publishing PLC,
|c 2011.
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| 300 |
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|a 1 online resource (353 pages)
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|a text
|b txt
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|a Cover; Half-title; Title; Copyright; Contents; Translatorâ#x80;#x99;s Note; Acknowledgements; Introduction by Jacques Lautman; Secondary Bibliography on the Work of Albert Lautman; Albert Lautman and the Creative Dialectic of Modern Mathematics; Preface to the 1977 Edition by Jean Dieudonné; Considerations on Mathematical Logic; Mathematics and Reality; International Congress of the Philosophy of Science; On the Reality Inherent to Mathematical Theories; The Axiomatic and the Method of Division; BOOK I Essay on the Unity of the Mathematical Sciencesin their Current Development.
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|a Introduction: Two Kinds of MathematicsCHAPTER 1 The Structure of a Domain of Magnitudes and the Decomposition of Its Elements: Dimensional Considerations in Analysis; CHAPTER 2 The Domain and Numbers: Non-Euclidean Metricsin the Theory of Analytic Functions; CHAPTER 3 The Algebra of Non-Commutative Magnitudes: Pfaffian Forms and the Theory of Differential Equations; CHAPTER 4 The Continuous and the Discontinuous: Analysis and the Theory of Numbers; Conclusion; BOOK II Essay on the Notions of Structure and Existence in Mathematics; Introduction: On the Nature of the Real in Mathematics.
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|a SECTION 1 The Schemas of StructureCHAPTER 1 The Local and the Global; CHAPTER 2 Intrinsic Properties and Induced Properties; CHAPTER 3 The Ascent towards the Absolute; SECTION 2 The Schemas of Genesis; CHAPTER 4 Essence and Existence; CHAPTER 5 â#x80;#x98;Mixesâ#x80;#x99;; CHAPTER 6 On the Exceptional Character of Existence; Conclusion; BOOK III New Research on the Dialectical Structure of Mathematics; Foreword; CHAPTER 1 The Genesis of the Entity from the Idea; CHAPTER 2 The Analytic Theory of Numbers; Letter to Mathematician Maurice Fréchet; BOOK IV Symmetry and Dissymmetry in Mathematics and Physics.
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| 505 |
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|a CHAPTER 1 Physical SpaceCHAPTER 2 The Problem of Time; Notes; Bibliography; Index.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 700 |
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|a Duffy, Simon.
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| 758 |
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|i has work:
|a Mathematics, ideas, and the physical real (Text)
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|i Print version:
|a Lautman, Albert.
|t Mathematiques, les Idees et le Reel Physique.
|d London : Bloomsbury Publishing PLC, ©2011
|z 9781441123442
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