The paper investigates what are the proper procedures for calculating the probability on certain evidence of a particular object e having a property, Q, e.g. of Eclipse winning the Derby. Let `α ' denote the conjunction of properties known to be possessed by e, and P(Q)/α the probability of an object which is α being Q. One view is that the probability of e being Q is given by the best confirmed value of P(Q)/α . This view is shown not (...) to be generally true, but to provide a useful approximation in many cases. Then given that we have information about the observed frequencies of Q among objects having one or more of the properties whose conjunction forms α , the paper shows how to establish which value of P(Q)/α is the best confirmed one. (shrink)

This paper presents a new 'discontinuous' view of Popper's theory of corroboration, where theories cease to have corroboration values when new severe tests are devised which have not yet been performed, on the basis of a passage from The Logic of Scientific Discovery. Through subsequent analysis and discussion, a novel problem for Popper's account of corroboration, which holds also for the standard view, emerges. This is the problem of the Big Test : that the severest test of any hypothesis is (...) actually to perform all possible tests. But this means that Popper's demand for 'the severest tests' amounts simply to a demand for 'all possible tests'. The paper closes by considering how this bears on accommodation vs. prediction, with respect to corroboration. (shrink)

Some of the problem areas in which British philosophers of science have recently been engaged are described and some of the major contributions noted. Two sets of problems are given special attention: one concerned with the analysis of probability statements and one concerned with the appraisal of scientific theories. Three traditions in the approach to this second set of problems are distinguished. These might be called the Carnapian, the Popperian and the Wittgensteinian traditions.