Abstract

After describing the three main kinds of probability theories, the author presents a new logical theory of probability. Probability, for him, is a logical relation between bodies of evidence and statements. The theory is an advance over Carnap's logical theory of probability in that it is not based on a formal language with strong completeness properties. The theory is formalized in Quine's protosyntax, which has two disadvantages: first, long formulas couched in terms of a large number of defined symbols disfigure the book and obscure the exposition; and secondly, it is desirable to keep our theories of inductive logic and deductive logic independent. There seems to be no reason to burden one sort of theory with the other. There is no index.--J. R. W.