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)

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)

The notion of similarity plays a central role in Quine's theory of Universals and it is with the help of this notion that Quine intends to define the concept of kind which also plays a central role in the theory. But as Quine has admitted, his attempts to define kinds in terms of similarities were unsuccessful and it is mainly because of this shortcoming that Quine's theory has been ignored by several philosophers. Nominalism and realism: Universals and Scientific realism. Cambridge: (...) Cambridge University Press). In the present paper, I propose an alternative framework that accounts for the phenomena that Quine intends to explain with his resemblance theory. The framework agrees with Quine's austere ontology; in particular, it does not assume the existence of properties and of possible worlds.. Resemblance nominalism: A solution to the problem of Universals. Oxford: Clarendon Press.) Moreover, the framework is extensionalist since the abstract entities it assumes are classes and these can be individuated extensionally, for classes are identical if their members are identical. Finally, I will refute some of the objections to Quine's approach that have been raised by Armstrong and Oliver [. The metaphysics of properties. Mind, 105, 1-80.] and I will argue that, contrary to what has been claimed by Oliver in a comment on Lewis [. On the plurality of worlds. Oxford: Blackwell.], Quine is able to specify an important set of sparse properties. (shrink)

The notion of similarity plays a central role in Quine’s theory of Universals and it is with the help of this notion that Quine intends to define the concept of kind which also plays a central role in the theory. But as Quine has admitted, his attempts to define kinds in terms of similarities were unsuccessful and it is mainly because of this shortcoming that Quine’s theory has been ignored by several philosophers (see, e.g., Armstrong, D. M. (1978a). Nominalism and (...) realism: Universals and Scientific realism (Vol. I). Cambridge: Cambridge University Press). In the present paper, I propose an alternative framework that accounts for the phenomena that Quine intends to explain with his resemblance theory. The framework agrees with Quine’s austere ontology; in particular, it does not assume the existence of properties and of possible worlds. (I will mention below Quine’s reason for rejecting properties and possible worlds. For a theory of Universals that assumes possible worlds, see, e.g., Rodriguez-Pereyra, G. (2002). Resemblance nominalism: A solution to the problem of Universals. Oxford: Clarendon Press.) Moreover, the framework is extensionalist since the abstract entities it assumes are classes and these can be individuated extensionally, for classes are identical if their members are identical. Finally, I will refute some of the objections to Quine’s approach that have been raised by Armstrong and Oliver [(1996). The metaphysics of properties. Mind, 105, 1–80.] and I will argue that, contrary to what has been claimed by Oliver in a comment on Lewis [(1986). On the plurality of worlds. Oxford: Blackwell.], Quine is able to specify an important set of sparse properties. (shrink)