The Probable and the ProvableThe book was planned and written as a single, sustained argument. But earlier versions of a few parts of it have appeared separately. The object of this book is both to establish the existence of the paradoxes, and also to describe a non-Pascalian concept of probability in terms of which one can analyse the structure of forensic proof without giving rise to such typical signs of theoretical misfit. Neither the complementational principle for negation nor the multiplicative principle for conjunction applies to the central core of any forensic proof in the Anglo-American legal system. There are four parts included in this book. Accordingly, these parts have been written in such a way that they may be read in different orders by different kinds of reader. |
Contents
Introduction | 1 |
2 The mathematicist theory | 9 |
The Completeness Issue | 33 |
Copyright | |
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accept antecedent application appropriate argument assessment assumption balance of probability bility Carnap causal concept of inductive concept of probability conclusion conjunction principle consequence convergence corroboration court criteria difficulty dyadic evidence evidential example explanandum fact falsified favourable Ghassanid grade of inductive grade of support H₁ Hempel's hypothesis individual events inductive logic inductive probability inductive reasoning inductive reliability inductive support inductivist inference inferential soundness interpretation invoked issue judgement judicial proof juridical proof jury kind mathematical calculus mathematical probability mathematicist analysis matical probability method of relevant monadic negation principle normal not-S paradox particular Pascalian perhaps philosophers Philosophy of Science plaintiff possible posterior probabilities predicables premisses principle for inductive prior probability proba probability-function proposition quasi-nominalist R₁ R₂ rational reasonable doubt reference-class relevant circumstances relevant variables statement statistical explanation substitution-instances suppose test t₁ test-results TIOI tion true truth truth-functional universally quantified v₁ variant