## Scientific reasoning: the Bayesian approach |

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### Contents

The Probability Calculus | 13 |

e Useful Theorems of the Calculus | 23 |

g Probabilistic Independence | 31 |

Copyright | |

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### Common terms and phrases

argued argument assigned assumption axioms Bayes's Theorem Bayesian approach Bayesian theory betting quotient Carnap Chapter characterised claim classical statisticians coin conclusion conditional probability confidence interval confirm consider credible interval degrees of belief discussion empirical entails equal estimate evidence example experiment experimental fact false finite Fisher given Glymour Hence hypoth independent inductive inductive reasoning inference infinite intuitively Kendall and Stuart Lakatos logical mean measure method Mises's theory Neyman Neyman-Pearson normally null hypothesis objective probabilities observations odds outcome space parameter particular Popper possible posterior distribution posterior probability pothesis predictions Principle of Indifference prior distribution prior probability prob probabilistic probability calculus probability distribution Prout's hypothesis random variables reason refuted regarded rejected relative frequency result sample scientific scientists seems sentences sequence significance tests simply standard deviation statement statistical stopping rule subjective sufficient statistics Suppose tails tion tosses trial true zero