One usually speaks of Hume's problem of induction in the singular, as if Hume had called our attention to only one problem which affects the justification of inductive inferences. But Hume shows that this justification depends on two assumptions which are not logically valid. In most studies about the justification of inductive inferences, Hume's approach to base the justification on two assumptions has not been discussed. This seems to have been a mistake, however. Not only do these assumptions play different (...) roles in the justification, but by distinguishing between them, one of them can be shown to be scientifically (though not logically) valid. (shrink)

Most scholars who presently deal with the Mind-Body problem consider themselves monist materialists. Nevertheless, many of them also assume that there exist (in some sense of existence) mental entities. But since these two positions do not harmonize quite well, the literature is full of discussions about how to reconcile the positions. In this paper, I will defend a materialist theory that avoids all these problems by completely rejecting the existence of mental entities. This is Quine's repudiation theory. According to the (...) theory, there are no mental entities, and the behavioral or physiological phenomena that have been attributed to mental entities, or that point to the existence of these entities, are exclusively caused by physiological factors. To be sure, several objections have been raised to materialist theories that do not assign some role to mental entities. But we will see that Quine is able to give convincing replies to these objections. (shrink)

According to Nicod's criterion of confirmation, a hypothesis of the form ‘All P are Q’ is confirmed by its positive instances, i.e. by entities that are P and Q. It is well known, however, that the criterion gives origin to counterintuitive results. For example, it sanctions the confirmation of ‘All nonblacks are nonravens’ by a nonblack nonraven. Since this hypothesis is logically equivalent to ‘All ravens are black,’ it follows that the criterion indirectly sanctions the counterintuitive confirmation of ‘All ravens (...) are black’ by a non black nonraven, e.g. by a white shoe. (shrink)

Many solutions of the Goodman paradox have been proposed but so far no agreement has been reached about which is the correct solution. However, I will not contribute here to the discussion with a new solution. Rather, I will argue that a solution has been in front of us for more than two hundred years because a careful reading of Hume's account of inductive inferences shows that, contrary to Goodman's opinion, it embodies a correct solution of the paradox. Moreover, the (...) account even includes a correct answer to Mill's question of why in some cases a single instance is sufficient for a complete induction, since Hume gives a well-supported explanation of this reliability phenomenon. The discussion also suggests that Bayesian theory by itself cannot explain this phenomenon. Finally, we will see that Hume's explanation of the reliability phenomenon is surprisingly similar to the explanation given lately by a number of naturalistic philosophers in their discussion of the Goodman paradox. (shrink)