In his Ted Sider takes care to define the notion of a temporal part and his doctrine of perdurantism using only the temporally indexed notion of parthood – ‘ x is part of y at t’ – rather than the atemporal notion of classical mereology – ‘ x is a part of y’ – in order to forestall accusations of unintelligibility from his opponents. However, as he notes, endurantists do not necessarily reject the classical mereological notion as unintelligible. They allow (...) that it makes sense and applies to atemporal subject matters and to temporal subject matters when the entities under discussion are not continuants. Thus, they allow that it makes sense to say that metaphysics is a part of philosophy, or that football is a game of two halves. What endurantists deny is only that the classical mereological notion is applicable to continuants: continuants , they say, have no proper parts simpliciter , either because it is false to say that they have or because it is unintelligible.Thus perdurantists do not have to embrace Sider's excessive caution in defining their position. 1 They can safely allow themselves classical mereological notions as long as it is a consequence of their definitions that continuants are perdurers/have temporal proper parts only if they have atemporal proper parts. 2In his Josh Parsons illuminatingly takes on the task he describes as ‘get[tting] the allegedly technical concepts of temporal part, perdurance and so on by ratcheting up from mereological relations, subregion relations among times and the concept of exact temporal location ’. He continues, ‘My definitions provide a good answer to those endurantists who claim …. (shrink)

1. Here is a very simple game. You come up with a number and I come up with a number. If I come up with the higher number, I win; otherwise you win. You go first. Call this ‘The Very Simple Game’. Few would play it if they had to go first and many if they are guaranteed to go second.2. Here is another one. You come up with a number n and I come up with a number m. If (...) m times 1/ n > 1, then I win; if not, then you win. You go first. Call this ‘Still The Very Simple Game’. Since I win just in case m is greater than n, this game collapses into The Very Simple Game. Few people will play it if they have to go first.3. Here is a third one. Let us call it ‘Looks Like A Tricky Game’. Suppose you have a choice between exactly two actions: keep holding on to some thing t ; hand t over to me and accept my offer to give you, with some probability p , some thing with utility m .Suppose, you are a maximizer of expected utility with …. (shrink)

The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk (like Pascal's Mugging), and intolerably paradoxical in cases like the St. Petersburg and Pasadena games. In this paper I show that, under certain conditions, stochastic dominance reasoning can capture most of the plausible implications of expectational reasoning while avoiding most of its pitfalls. Specifically, given sufficient background uncertainty (...) about the choiceworthiness of one's options, many expectation-maximizing gambles that do not stochastically dominate their alternatives "in a vacuum" become stochastically dominant in virtue of that background uncertainty. But, even under these conditions, stochastic dominance will not require agents to accept options whose expectational superiority depends on sufficiently small probabilities of extreme payoffs. The sort of background uncertainty on which these results depend looks unavoidable for any agent who measures the choiceworthiness of her options in part by the total amount of value in the resulting world. At least for such agents, then, stochastic dominance offers a plausible general principle of choice under uncertainty that can explain more of the apparent rational constraints on such choices than has previously been recognized. (shrink)

Given the deep disagreement surrounding population axiology, one should remain uncertain about which theory is best. However, this uncertainty need not leave one neutral about which acts are better or worse. We show that as the number of lives at stake grows, the Expected Moral Value approach to axiological uncertainty systematically pushes one towards choosing the option preferred by the Total and Critical Level views, even if one’s credence in those theories is low.

Decision theory aims to provide mathematical analysis of which choice one should rationally make in a given situation. Our current decision theory norms have been very successful, however, several problems have proven vexing for standard decision theory. In this paper, I show that these problems all share a similar structure and identify a class of problems which decision theory overvalues. I demonstrate that agents who follow current standard decision theory can be exploited and have their preferences reordered if offered decision (...) problems of this class. I show that preference reordering is a serious problem, which motivates my search for a decision theory which is immune to exploitation. I find Dr. Nick Smith’s theory of Rationally Negligible Probabilities cannot be exploited in this way and discuss why agents should adopt it. (shrink)