Are the sparse properties drawn from all the levels of nature, or only the fundamental level? I discuss the notion of sparse property found in Armstrong and Lewis, show that there are tensions in the roles they have assigned the sparse properties, and argue that the sparse properties should be drawn from all the levels of nature.

Rich with historical and cultural value, these works are published unaltered from the original University of Minnesota Press editions.

Any property has two sorts of causal features: “forward-looking” ones, having to do with what its instantiation can contribute to causing, and ldquo;backward-looking” ones, having to do with how its instantiation can be caused. Such features of a property are essential to it, and properties sharing all of their causal features are identical. Causal necessity is thus a special case of metaphysical necessity. Appeals to imaginability have no more force against this view than they do against the Kripkean view that (...) statements like “Gold is an element” are metaphysically necessary. (shrink)

It has been nearly a decade and a half since Fred Dretske, David Armstrong and Michael Tooley, having each rejected the Regularity theory, independently proposed that natural laws are grounded in a second-order relation that somehow binds together universals.' (l shall call this the ‘DTA theory’). In this way they sought to overcome the major - and notorious — shortcomings of every version of the Regularity theory: how to provide truth conditions for laws that lack instances; how to distinguish laws (...) from accidental generalizations; how to provide truth conditions for the counterfactuals and disposition statements that laws apparently ‘support’; how to justify inductive inferences from past events to laws and future events. For each of these puzzles, an apparently key element in the solution seems to be missing from Regularity theories. That missing element is a genuine connection, a relation with more than merely spatial and/or temporal content, linking the antecedent of a law to its consequent. Once such an additional objective element - however understood — is admitted to be essential to the analysis of laws, one is forced to give up the idea that the logical form of laws can be given in terms of quantifiers ranging over events or states of alfairs, and truth-functions. (shrink)