In this paper I argue that there is a significant but often overlooked metaphysical distinction to be made between contextualism and contrastivism. The orthodox view is that contrastivism is merely a form of contextualism. This is a mistake. The contextualist view is incompatible with certain naturalist claims about the metaphysical nature of concepts within whichever domain is being investigated, while the contrastivist view is compatible with these claims. So, choosing one view over the other will involve choosing to affirm or (...) deny a significant metaphysical claim. As such, a demarcation ought to be put in place between contextualism and contrastivism. (shrink)

Contrastivism about knowledge is the view that one does not just know some proposition. It is more adequate to say that one knows something rather than something else: I know that I am looking at a tree rather than a bush but I do not know that I am looking at a tree rather than a cleverly done tree imitation. Knowledge is a three-place relation between a subject, a proposition and a contrast set of propositions. There are several advantages of (...) a contrastivist view but also certain problems with it. (shrink)

Lin and Kelly :957–981, 2012) and Leitgeb :1338–1389, 2013, Philos Rev 123:131–171, 2014), offer similar solutions to the Lottery Paradox, defining acceptance rules which determine a rational agent’s beliefs in terms of broader features of her credal state than just her isolated credences in individual propositions. I express each proposal as a method for obtaining an ordering over a partition from a credence function, and then a belief set from the ordering. Although these proposals avoid the original Lottery Paradox, I (...) raise a diachronic case which illustrates that neither satisfies both Lin and Kelly’s constraint that the update on orderings track the update on credence functions, and the intuitive constraint that credence of at least 0.5 is necessary for rational belief. I conclude by suggesting that we reformulate these proposals in terms of orderings over entire algebras based on partitions rather than orderings just over the partitions themselves. Reformulating both rules in this way yields acceptance rules which avoid the Lottery Paradox while satisfying both the tracking and likeliness constraints. (shrink)