Gabriele Contessa

Mereological nihilism is the thesis that there are no composite objects—i.e. objects with proper material parts. One of the main advantages of mereological nihilism is that it allows its supporters to avoid a number of notorious philosophical puzzles. However, it seems to offer this advantage only at the expense of certain widespread and deeply entrenched beliefs. In particular, it is usually assumed that mereological nihilism entails eliminativism about ordinary objects—i.e. the counterintuitive thesis that there are no such things as tables, apples, cats, and the like. In this paper, I argue that this assumption is false—mereological nihilists do not need to be eliminativists about tables, apples, or cats. Non-eliminativist nihilists claim that all it takes for there to be a cat is that there are simples arranged cat-wise. More specifically, non-eliminative nihilists argue that expressions such as ‘the cat’ in sentences such as ‘The cat is on the mat’ do not refer to composite objects but only to simples arranged cat-wise and compare this metaphysical discovery to the scientific discovery that ‘water’ refers to dihydrogen oxide. Non-eliminative nihilism, I argue, is not only a coherent position, but it is preferable to its more popular, eliminativist counterpart, as it enjoys the key benefits of nihilism without incurring the prohibitive costs of eliminativism. Moreover, unlike conciliatory strategies adopted by eliminative nihilists, non-eliminative nihilism allow its supporters to account not only for how we can assert something true by saying ‘The cat is on the mat’ but also for how we can believe something true by believing that the cat is on the mat.

The thesis that a temporal asymmetry of counterfactual dependence characterizes our world plays a central role in Lewis’s philosophy, as. among other things, it underpins one of Lewis most renowned theses—that causation can be analyzed in terms of counterfactual dependence. To maintain that a temporal asymmetry of counterfactual dependence characterizes our world, Lewis committed himself to two other theses. The first is that the closest possible worlds at which the antecedent of a counterfactual conditional is true is one in which a small miracle occurs—i.e. one whose laws differ from the actual laws in a small spatiotemporal region. The second is that our world is characterized by a temporal asymmetry of miracles. In this paper, I will argue, first, that the latter thesis is either false or incompatible with the picture of the relations among temporal asymmetries endorsed by Lewis and, second, that former thesis conflicts with some of the intuitions which seem to guide us when engaging in counterfactual reasoning. If there is any fact of the matter as to which possible worlds in which the antecedent of a counterfactual conditional is true are closest to the actual world, these are not worlds at which a small miracle occurs.

My two daughters would love to go tobogganing down the hill by themselves, but they are just toddlers and I am an apprehensive parent, so, before letting them do so, I want to ensure that the toboggan won’t go too fast. But how fast will it go? One way to try to answer this question would be to tackle the problem head on. Since my daughters and their toboggan are initially at rest, according to classical mechanics, their final velocity will be determined by the forces they will be subjected to between the moment the toboggan will be released at the top of the hill and the moment it will reach its highest speed. The problem is that, throughout their downhill journey, my daughters and the toboggan will be subjected to an incredibly large number of forces—from the gravitational pull of any massive object in the universe to the weight of the snowflake that is sitting on the tip of one of my youngest daughter’s hairs—so that any attempt to apply the theory directly to the real-world system in all its complexity seems to be doomed to failure.

According to power theorists, properties are powers—i.e. they necessarily confer on their bearers certain dispositions. Although the power theory is increasingly gaining popularity, a vast majority of analytic metaphysicians still favors what I call ‘the nomic theory’—i.e. the view according to which what dispositions a property confers on its bearers is contingent on what the laws of nature happen to be. This paper argues that the nomic theory is inconsistent, for, if it were correct, then properties would not confer any dispositions on their bearers—they would only appear to do so (just like how, in cases of mimicking, objects do not really have the relevant dispositions, they merely appear to have them). If my arguments are sound, then the nomic theory is incoherent and ultimately collapses into what I call ‘neo-occasionalism’ and powers turns out to be the only available option for those who believe that properties genuinely confer dispositions on their bearers.