## Studies in Inductive Logic and Probability, Volume 2A basic system of inductive logic; An axiomatic foundation for the logic of inductive generalization; A survey of inductive systems; On the condition of partial exchangeability; Representation theorems of the de finetti type; De finetti's generalizations of excahngeability; The structure of probabilities defined on first-order languages; A subjectivit's guide to objective chance. |

### Contents

Introduction | 1 |

An Axiomatic Foundation for the Logic of Inductive Generali | 157 |

A Survey of Inductive Systems by Theo A F Kuipers | 183 |

On the Condition of Partial Exchangeability by Bruno | 193 |

Representation Theorems of the de Finetti Type by Godehard | 207 |

De Finettis Generalizations of Exchangeability by Persi | 233 |

The Structure of Probabilities Defined on FirstOrder Lan | 251 |

A Subjectivists Guide to Objective Chance by David | 263 |

A Note on Regularity | 295 |

### Common terms and phrases

A-condition A-system A₁ analogous assume assumption atomic proposition attribute space attribute symmetry axiom B₁ basic attributes basic regions Borel set C-function C-values Cartesian product chance of heads coin concept condition consider convex set corresponding defined definition denumerable determined distance function distribution endpoint chance equal example family F Finetti Finetti's theorem finite following holds formulas frequency given H₁ hence Hintikka individuals inductive logic infinite initial credence function interval IS(A k-tuple kind language Lebesgue measure Let F mathematical induction measure function metric MI(s n₁ n₂ normalized P₁ pairs parameter partially exchangeable partition plausible posterior probability Principal Principle probability distribution probability measure probability theory Proof r₁ real numbers reasonable initial credence representative function respect rule s₁ sample satisfies sequence subset supervenient Suppose tion tosses unique values width function X₁ y-equality y₁ zero