## 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. |

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### Contents

Introduction | 1 |

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

Finetti | 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 Subjectivisms Guide to Objective Chance by David | 263 |

A Note on Regularity | 295 |

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### Common terms and phrases

7-equality A-^-function A-condition A-family A-system A-value analogous assume assumption atomic proposition attribute space attribute symmetry axiom basic attributes basic regions Borel set Cartesian product chance of heads coin concept condition consider convex set corresponding cr-additive defined definition denumerable distance function distribution endpoint chance equal example family F Finetti Finetti's theorem finite following holds formulas frequency given hence Hintikka index set individuals inductive logic infinite initial credence function interval kind language Lebesgue measure Let F mathematical induction measure function metric normalized outcomes pairs parameter partially exchangeable partially symmetric partition plausible posterior probability Principal Principle probability distribution probability measure probability theory Proof propositions H real numbers reasonable initial credence representative function respect rule sample satisfies subset supervenient Suppose theory of chance tion tosses tuple vague topology values variables width function zero