## Probability, Statistics, and TruthThis comprehensive study of probability, its relation to statistics, and its truth-finding value considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics. Numerous examples complement the text. |

### What people are saying - Write a review

#### Review: Probability, Statistics and Truth

User Review - Devin - GoodreadsInteresting, especially from an historical perspective, but it's a bit dated. Read full review

### Contents

PREFACE TO THE THIRD GERMAN EDITION | 1 |

The Inadequacy of Theories | 7 |

Two Different Pairs of Dice | 13 |

Probability in the Gas Theory | 20 |

Example of Randomness | 27 |

Distribution in a Collective | 34 |

Mixing | 40 |

Initial and Final Probability of an Attribute | 46 |

The Strong Law of Large Numbers | 127 |

Closing Remarks | 133 |

Marbes Uniformity in the World | 139 |

Lexis Theory of Dispersion | 145 |

Normal and Nonnormal Dispersion | 152 |

R A Fishers Likelihood | 158 |

Some Results Summarized | 165 |

Descriptive Statistics | 166 |

Test of Independence | 53 |

Solution of the Problem of Chevalier de Méré | 62 |

Do Not Always Exist | 69 |

The Subjective Conception of Probability | 75 |

FOURTH LECTURE | 80 |

Objections to My Theory | 81 |

Objections to the Condition of Randomness | 87 |

A Problem of Terminology | 93 |

Probability as Part of the Theory of Sets | 99 |

Poissons Two Different Propositions | 104 |

The Content of Poissons Theorem | 112 |

Initial and Inferred Probability | 120 |

The Application of the Theory of Errors | 172 |

Random Fluctuations | 178 |

Order of Magnitude of Improbability | 184 |

Entropy Theorem and Markoff Chains | 192 |

Marsdens and Barratts Experiments | 198 |

Causal Explanation in Newtons Sense | 204 |

The Law of Causality | 210 |

Heisenbergs Uncertainty Principle | 216 |

SuMMARY or THE SIX LECTuRES IN SIXTEEN PRoPoSITIoNS | 224 |

237 | |

NAME INDEX | 243 |

### Common terms and phrases

apply assume assumption attribute axiom Bernoulli bility brieﬂy Brownian motion calculated classical mechanics classical theory concept of probability consider corresponding deﬁned deﬁnition of probability derived dice diﬂiculties discussed distribution elements entropy equal probabilities essential example existence experiments fact ﬁeld ﬁgures ﬁnal ﬁnd ﬁnite ﬁrst ﬁve ﬁxed formula frequency deﬁnition frequency theory fundamental games of chance given illustrations indeﬁnitely inﬁnite sequence inﬂuence initial collective instance interval investigations kind kinetic theory Large Numbers Law of Large lecture limiting value logical long sequence mathematical mathematicians means measure mechanics method molecules Newtonian mechanics obtained occur operations original particles phenomena physical place selection point of view Poisson possible principle proba probability calculus probability theory problem properties proposition question randomness ratio relative frequency rule satisﬁed scientiﬁc sequence of observations single speciﬁc statement statistical functions suﬂiciently large theory of probability throws tion total number velocity words