THE aim of this paper is to refute Hume's contention that there cannot be logically necessary connections between successive events. I intend to establish, in other words, not 'Logically necessary connections do exist between successive events', but instead the rather more modest proposition: 'It may be, it is possible, as far as we can ever know for certain, that logically necessary connections do exist between successive events.' Towards the end of the paper I shall say something about the implications of (...) rejecting Hume's contention. (shrink)