## The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals)First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam’s mentor, Hans Reichenbach, the book considers Reichenbach’s idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach’s pragmatic vindication of induction. |

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### Contents

I THE GENERAL NATURE OF THE PROBLEM AND OF THE REQUIRED SOLUTION | 1 |

II THE CALCULUS OF PROBABILITY AND ITS INTERPRETATION | 32 |

III INDUCTION | 83 |

IV THE JUSTIFICATION OF INDUCTION | 101 |

Notes and References | 117 |

Bibliography | 126 |

### Other editions - View all

The Meaning of the Concept of Probability in Application to Finite Sequences Hilary Putnam No preview available - 2012 |

### Common terms and phrases

abbreviation admissible interpretations advanced knowledge analytic proposition argument assert atomic formula attribute axiom of extensionality axioms Bernoulli bility Calculus of Probability chapter Concept of Probability converge correct hypothesis deductive defined definition denote determine differ element employ event fact ﬁnite finite sequences finite theory formal formula of degree frequency interpretation function Hans Reichenbach Hence Hilary Putnam inductive inferences infinite interpretation of probability interval justification of induction length logical mathematical theory means method normal sequences notation obtained occur Peirce phase superscripts philosophical possess a practical possible practical limit principle probabili probability controlling probability implication probability sequences probability theory problem propositional calculus prove Quantification Theory quency recursive regard Reichenbach relative fre relative frequency Rule of Existence Rule of Induction running subscript sense simply statement statistical inference strategy success-ratio successful prediction suppose symbol Theory of Order Theory of Probability tion true values given