## An Objective Theory of Probability (Routledge Revivals)This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. |

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### Contents

THE SPECIAL SCIENCES IN GENERAL | |

Its Machian Origins | |

The concepts of force and mass before Newton How Newton introduced | |

theory of conceptual innovation How our theory of conceptual innovation avoids | |

Probability and Frequency | |

Three views on the relations between probability and frequency Randomness | |

Mises and Kolmogorov on the relations between probability and frequency | |

Deduction of the law of excluded gambling systems Independence and gambling | |

The Falsification Problem for Probability Statements | |

Formulation ofa Falsifying Rule | |

statement Braithwaites theory of probability | |

Outline of the NeymanPearson theory The NeymanPearson theory without | |

Explanation of Technical Terminology | |