The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method
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Chapters (749)
- THE FOUNDATIONS OF SCIENCE
- CONTENTS
- HENRI POINCARÉ
- SCIENCE AND HYPOTHESIS
- AUTHOR'S PREFACE TO THE TRANSLATION
- INTRODUCTION
- I
- II
- III
- IV
- V
- SCIENCE AND HYPOTHESIS
- INTRODUCTION
- PART I NUMBER AND MAGNITUDE
- CHAPTER I On the Nature of Mathematical Reasoning
- I
- II
- III
- IV
- V
- VI
- VII
- CHAPTER II Mathematical Magnitude and Experience
- PART II SPACE
- CHAPTER III The Non-euclidean Geometries
- CHAPTER IV Space and Geometry
- CHAPTER V Experience and Geometry
- Ancestral Experience
- PART III FORCE
- CHAPTER VI The Classic Mechanics
- CHAPTER VII Relative Motion and Absolute Motion
- CHAPTER VIII Energy and Thermodynamics
- General Conclusions on Part Third
- PART IV NATURE
- CHAPTER IX Hypotheses in Physics
- CHAPTER X The Theories of Modern Physics
- CHAPTER XI The Calculus of Probabilities
- CHAPTER XII Optics and Electricity
- CHAPTER XIII Electrodynamics
- THE VALUE OF SCIENCE
- TRANSLATOR'S INTRODUCTION
- INTRODUCTION
- PART I THE MATHEMATICAL SCIENCES
- CHAPTER I Intuition and Logic in Mathematics
- I
- II
- III
- IV
- V
- VI
- CHAPTER II The Measure of Time
- I
- II
- III
- IV
- V
- VI
- VII
- VIII
- IX
- X
- XI
- XII
- XIII
- CHAPTER III The Notion of Space
- 1. Introduction
- 2. Qualitative Geometry
- 3. The Physical Continuum of Several Dimensions
- 4. The Notion of Point
- 5. The Notion of Displacement
- 6. Visual Space
- CHAPTER IV Space and its Three Dimensions
- 1. The Group of Displacements
- 2. Identity of Two Points
- 3. Tactile Space
- 4. Identity of the Different Spaces
- 5. Space and Empiricism
- 6. Mind and Space
- 7. Rôle of the Semicircular Canals
- PART II THE PHYSICAL SCIENCES
- CHAPTER V Analysis and Physics
- I
- II
- III
- IV
- CHAPTER VI Astronomy
- CHAPTER VII The History of Mathematical Physics
- CHAPTER VIII The Present Crisis of Mathematical Physics
- CHAPTER IX The Future of Mathematical Physics
- PART III THE OBJECTIVE VALUE OF SCIENCE
- CHAPTER X Is Science Artificial?
- 1. The Philosophy of M. LeRoy
- 2. Science, Rule of Action
- 3. The Crude Fact and the Scientific Fact
- 4. 'Nominalism' and 'the Universal Invariant'
- CHAPTER XI Science and Reality
- 5. Contingence and Determinism
- 6. Objectivity of Science
- 7. The Rotation of the Earth
- 8. Science for Its Own Sake
- SCIENCE AND METHOD
- INTRODUCTION
- BOOK I SCIENCE AND THE SCIENTIST
- CHAPTER I The Choice of Facts
- CHAPTER II The Future of Mathematics
- Arithmetic
- Algebra
- Geometry
- Cantorism
- The Investigation of the Postulates
- CHAPTER III Mathematical Creation
- CHAPTER IV Chance
- I
- II
- III
- IV
- V
- VI
- VII
- VIII
- IX
- X
- BOOK II MATHEMATICAL REASONING
- CHAPTER I The Relativity of Space
- I
- II
- III
- IV
- V
- VI
- CHAPTER II Mathematical Definitions and Teaching
- Arithmetic
- Geometry
- Mechanics
- CHAPTER III Mathematics and Logic
- Introduction
- I
- II
- III
- IV
- V
- VI
- VII Pasigraphy
- VIII
- CHAPTER IV The New Logics
- I The Russell Logic
- II
- III
- IV
- V Arithmetic
- VI The Logic of Hilbert
- VII
- VIII
- IX
- X Geometry
- XI Conclusion
- XII
- XIII
- CHAPTER V The Latest Efforts of the Logisticians
- I
- II The Infallibility of Logistic
- III The Liberty of Contradiction
- IV The Second Objection
- V The Cantor Antinomies
- VI Zigzag Theory and No-class Theory
- VII The True Solution
- VIII The Demonstrations of the Principle of Induction
- IX
- X Zermelo's Assumption
- XI Conclusions
- BOOK III THE NEW MECHANICS
- CHAPTER I Mechanics and Radium
- I Introduction
- II Mass Longitudinal and Mass Transversal
- III The Canal Rays
- IV The Theory of Lorentz
- V Mechanical Consequences
- CHAPTER II Mechanics and Optics
- I Aberration
- II The Principle of Relativity
- III The Principle of Reaction
- IV Consequences of the Principle of Relativity
- V Kaufmann's Experiment
- VI The Principle of Inertia
- VII The Wave of Acceleration
- CHAPTER III The New Mechanics and Astronomy
- I Gravitation
- II Comparison with Astronomic Observations
- III The Theory of Lesage
- IV Conclusions
- BOOK IV ASTRONOMIC SCIENCE
- CHAPTER I The Milky Way and the Theory of Gases
- CHAPTER II French Geodesy
- GENERAL CONCLUSIONS
- INDEX
- FOOTNOTES
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