Title | On the logical structure of de Finetti's notion of event |

Publication Type | Journal Article |

Year of Publication | 2014 |

Authors | Flaminio T [1], Godo L [2], Hosni H [3] |

Journal | Journal of Applied Logic |

Volume | 12 |

Pagination | 279-301 |

Publisher | Elsevier |

Keywords | Choice-based probability [4], De Finetti's coherence criterion [5], Events [6], Informations frames [7] |

Abstract | This paper sheds new light on the subtle relation between probability and logic by (i) providing a logical development of Bruno de Finetti’s conception of events and (ii) suggesting that the subjective nature of de Finetti’s interpretation of probability emerges in a clearer form against such a logical background. By making explicit the epistemic structure which underlies what we call Choice-based probability we show that whilst all rational degrees of belief must be probabilities, the converse doesn’t hold: some probability values don’t represent decision-relevant quantifications of uncertainty. |

URL | http://www.sciencedirect.com/science/article/pii/S1570868314000214 [8] |