R.I.G Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful.

Laws are supposed to tell us how physical systems actually behave. The analysis of an important part of physical practice--abstraction--shows, however, that laws describe the behavior of physical systems under very special circumstances, namely when they are isolated. Nevertheless, laws are applied in cases of non-isolation as well. This practice requires an explanation. It is argued that one has to assume that physical systems have dispositions. I take these to be innocuous from an empiricist's standpoint because they can--at least in (...) principle--be measured. Laws can be applied whenever such a disposition is present, they describe how the physical system would behave if the disposition were manifest. (shrink)

Recent work in the Philosophy of Mind has suggested that alternatives to reduction are required in order to explain the relationship between psychology and biology or physics. Emergence has been proposed as one such alternative. In this paper, I propose a precise definition of emergence, and I argue that chaotic systems provide concrete examples of properties that meet this definition. In particular, I suggest that being in the basin of attraction of a strange attractor is an emergent property of any (...) chaotic nonlinear dynamical system. This shows that non-reductive accounts of inter-theoretic relations are necessary, and that non-reductive accounts of the mental are possible. Moreover, this work provides a foundation for future work investigating the nature of explanation, prediction, and scientific understanding of non-reductive phenomena. (shrink)

A framework for representing a specific kind of emergent property instance is given. A solution to a generalized version of the exclusion argument is then provided and it is shown that upwards and downwards causation is unproblematical for that kind of emergence. One real example of this kind of emergence is briefly described and the suggestion made that emergence may be more common than current opinions allow.

Ansgar Beckermann Once, a mind-body theory based upon the idea of supervenience seemed to be a promising alternative to the various kinds of reductionistic physicalism. In recent years, however, Jaegwon Kim has subjected his own brainchild to a very thorough criticism. With most of Kim’s arguments I agree wholeheartedly - not least because they converge with my own thoughts.² In order to explain the few points of divergence with Kim’s views, I shall have to prepare the ground a little. In (...) the course of this paper I will therefore do two things: At the start, I will try to sketch the logical topography of the „solution space“ of the problem Kim is concerned with. As a second step, I shall then comment on the concepts of identity, realization and reduction and attempt to show that Kim’s concept of realization is too narrow, because he is still very much in the grip of the traditional view with regard to what it means to show that a property _F _is identical with, or realized by, another property _G_. (shrink)