Reichenbach held that all scientific inference reduces, via probability calculus, to induction, and he held that induction can be justified. He sees scientific knowledge in a practical context and insists that any rational assessment of actions requires a justification of induction. Gaps remain in his justifying argument; for we can not hope to prove that induction will succeed if success is possible. However, there are good prospects for completing a justification of essentially the kind he sought by showing that while (...) induction may succeed, no alternative is a rational way of trying.Reichenbach's claim that probability calculus, especially via Bayes' Theorem, can help to exhibit the structure of inference to theories is a valuable insight. However, his thesis that the weighting of all hypotheses rests only on frequency data is too restrictive, especially given his scientific realism. Other empirical factors are relevant. Any satisfactory account of scientific inference must be deeply indebted to Reichenbach's foundation work. (shrink)

The aim of this article is twofold. First, we shall review and analyse the neo-kantian justification for the application of probabilistic concepts in science that was defended by Hans Reichenbach early in his career, notably in his dissertation of 1916. At first sight this kantian approach seems to contrast sharply with Reichenbach’s later logical positivist, frequentist viewpoint. But, and this is our second goal, we shall attempt to show that there is an underlying continuity in Reichenbach’s thought: typical features of (...) his early kantian conceptions can still be recognized in his later work. (shrink)

I evaluate Schurz's proposed meta-inductive justification of induction, a refinement of Reichenbach's pragmatic justification that rests on results from the machine learning branch of prediction with expert advice. My conclusion is that the argument, suitably explicated, comes remarkably close to its grand aim: an actual justification of induction. This finding, however, is subject to two main qualifications, and still disregards one important challenge. The first qualification concerns the empirical success of induction. Even though, I argue, Schurz's argument does not need (...) to spell out what inductive method actually consists in, it does need to postulate that there is something like the inductive or scientific prediction strategy that has so far been significantly more successful than alternative approaches. The second qualification concerns the difference between having a justification for inductive method and for sticking with induction for now. Schurz's argument can only provide the latter. Finally, the remaining challenge concerns the pool of alternative strategies, and the relevant notion of a meta-inductivist's optimality that features in the analytic step of Schurz's argument. Building on the work done here, I will argue in a follow-up paper that the argument needs a stronger dynamic notion of a meta-inductivist's optimality. (shrink)

The proponents of the ‘vindication’ or ‘pragmatic justification’ of induction have attempted to show that induction will work if any method does. This in turn serves as grounds for their claim that we have everything to gain by using induction and nothing to lose. Hence, they conclude that it is rational to use induction. Their claim that induction will work if any mehtod does is based upon the following argument:If nature is uniform, induction will work. If nature is not uniform (...) and some other method works, the success of that method will then constitute a regularity to which induction can be successfully applied. In that case, induction will sanction the continued use of the successful method and hence will be successful as well. (shrink)

The proponents of the ‘vindication’ or ‘pragmatic justification’ of induction have attempted to show that induction will work if any method does. This in turn serves as grounds for their claim that we have everything to gain by using induction and nothing to lose. Hence, they conclude that it is rational to use induction. Their claim that induction will work if any mehtod does is based upon the following argument:If nature is uniform, induction will work. If nature is not uniform (...) and some other method works, the success of that method will then constitute a regularity to which induction can be successfully applied. In that case, induction will sanction the continued use of the successful method and hence will be successful as well. (shrink)