In this paper I consider possible causation, specifically, would-cause counterfactuals of the form ‘had an event of kind A occurred, it would have caused an event of kind B’. I outline some difficulties for the Lewis program for understanding would-cause counterfactuals, and canvass an alternative. I then spell out a view on their significance, in relation to (i) absence causation, where claims such as ‘A’s not occurring caused B’s not occurring’ seem to make sense when understood in terms of the (...) would-cause counterfactual ‘had an event of kind A occurred, it would have caused an event of kind B’; (ii) contrastive causal explanation, where to explain why E rather than E* occurred we might appeal to the causal history of E and the counterfactual causal history of E*, an approach which appeals directly to would-cause counterfactuals ‘had an event of kind C* occurred, it would have caused an event of kind E*’; and (iii) dispositions, where the claim ‘the glass is fragile’ clearly has some connection or other with would-cause counterfactuals such as ‘were the glass to be struck, the striking would cause the glass to break’. (shrink)

This paper examines a fundamental problem in applied mathematics. How can one model the behavior of materials that display radically different, dominant behaviors at different length scales. Although we have good models for material behaviors at small and large scales, it is often hard to relate these scale-based models to one another. Macroscale models represent the integrated effects of very subtle factors that are practically invisible at the smallest, atomic, scales. For this reason it has been notoriously difficult to model (...) realistic materials with a simple bottom-up-from-the-atoms strategy. The widespread failure of that strategy forced physicists interested in overall macro-behavior of materials toward completely top-down modeling strategies familiar from traditional continuum mechanics. The problem of the ``tyranny of scales'' asks whether we can exploit our rather rich knowledge of intermediate micro- scale behaviors in a manner that would allow us to bridge between these two dominant methodologies. Macroscopic scale behaviors often fall into large common classes of behaviors such as the class of isotropic elastic solids, characterized by two phenomenological parameters---so-called elastic coefficients. Can we employ knowledge of lower scale behaviors to understand this universality---to determine the coefficients and to group the systems into classes exhibiting similar behavior? (shrink)

In 1992, as part of a larger charitable campaign, the Prince of Wales (Prince Charles, Queen Elizabeth’s older son and heir) launched a line of organic food products called “Prince’s Duchy Originals”.1 The first product that went on sale was an oat cookie: “the oaten biscuit.” Since then the oaten biscuit has been joined by hundreds of other products and Duchy Originals has become one of the leading organic food brands in the UK. Presumably, the Prince of Wales is very (...) proud of his Duchy Originals products, and of the oaten biscuits in particular. Let’s imagine that he is so proud of the oaten biscuits that he eats them regularly. Also, let’s imagine that one day Queen Elizabeth asks the Prince to water the plant in her room. As she explains to him, she’ll be gone for the day and the plant needs to be watered every afternoon. But the Prince decides not to water the plant. Instead of watering the plant, he spends his afternoon savoring some oaten biscuits, and the Queen’s plant dies. (shrink)