## Poincaré's Philosophy: From Conventionalism to PhenomenologyHenri Poincare (1854-1912) was one of the greatest mathematicians and philosophers of all time. He founded topology and made important contributions to theoretical physics. Yet despite his numerous achievements Poincare never constructed a systematic philosophy. In this book, Elie Zahar presents Poincare's work for the first time as a unified system of thought. |

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### Contents

Introduction | 1 |

Poincares General Philosophy of Science | 7 |

of Discovery | 37 |

Poincares Philosophy of Geometry | 65 |

Poincares Relativity Programme | 107 |

J The Foundations of Mathematics according | 137 |

Formalism Intentionality or Platonism? | 201 |

Appendixes | 223 |

Ramseyfication and Structural Realism | 236 |

253 | |

259 | |

### Common terms and phrases

adhoc antinomies argument Axiom of Choice Axiom of Infinity Axiom of Reducibility axioms basic statement Brentano Chapter claim classical components concepts consequently consists constitute construction convenient Correspondence Principle cross-ratio defined definition denote domain Duhem Einstein empirical entails entities equations Euclidean geometry example existence experience expressed fact finite first-order follows function Galilean Transformation geodesic gravitation Griinbaum hence heuristic Husserl hyperbolic geometry hypothesis ical independent induction infinite intentional objects intuition Kant Kantian latter laws level-0 logical logically independent Lorentz Lorentz-covariant mathematical mathematical induction means metric moreover natural number nominalistic Note notion objects observational paradoxes phenomenological philosophical physical Poincare Poincare's Popper position possess postulates predicates proof properties propositions Ramsey-sentence realist refer refutation regarded Russell Russell's scientific system scientists semantic sense sentence set theory space structural realism symmetry syntactical synthetic theorem thesis tion transcendent true truth truth-value velocity vicious circularity words