Quantum mechanics, which describes the behavior of subatomic particles, seems to challenge common sense. Waves behave like particles; particles behave like waves. You can tell where a particle is, but not how fast it is moving--or vice versa. An electron faced with two tiny holes will travel through both at the same time, rather than one or the other. And then there is the enigma of creation ex nihilo, in which small particles appear with their so-called antiparticles, only to disappear (...) the next instant in a tiny puff of energy. Since its inception, physicists and philosophers have struggled to work out the meaning of quantum mechanics. Some, like Niels Bohr, have responded to quantum mechanics' mysteries by replacing notions of position and velocity with probabilities. Others, like Einstein and Penrose, have disagreed and think that the entire puzzle reflects not a fundamental principle of nature but our own ignorance of basic scientific processes. Sneaking a Look at God's Cards offers the general reader a deep and real understanding of the problems inherent to the interpretation of quantum mechanics, from its inception to the present. The book presents a balanced overview of current debates and explores how the theory of quantum mechanics plays itself out in the real world. Written from the perspective of a leading European physicist, the book looks extensively at ideas from both sides of the Atlantic and also considers what philosophers have contributed to the scientific discussion of this field. Sneaking a Look at God's Cards sets out what we know about the endlessly fascinating quantum world, how we came to this understanding, where we disagree, and where we are heading in our quest to comprehend the seemingly incomprehensible. (shrink)

According to the prevailing sentiment, changing the past is logically impossible. The prevailing sentiment is wrong. In this paper, I argue that the claim that changing the past entails a contradiction ultimately rests upon an empirical assumption, and so the conclusion that changing the past is logically impossible is to be resisted. I then present and discuss a model of time which drops the empirical assumption and coherently models changing the past. Finally, I defend the model, and changing the past, (...) against objections. (shrink)

Containing selected papers on the fundamentals and applications of Complexity Science, this multi-disciplinary book presents new approaches for resolving complex issues that cannot be resolved using conventional mathematical or software models. Complex Systems problems can occur in a variety of areas such as physical sciences and engineering, the economy, the environment, humanities and social and political sciences. Complexity Science problems, the science of open systems consisting of large numbers of diverse components engaged in rich interaction, can occur in a variety (...) of areas such as physical sciences and engineering, the economy, the environment, humanities and social and political sciences. The global behaviour of these systems emerges from the interaction of constituent components and is unpredictable but not random. The key attribute of Complex Systems is the ability to self-organise and adapt to unpredictable changes in their environment. (shrink)

The method of interpreting political theory in relation to its specific historical contexts offers particular insight into the work of Karl Marx. When pre-capitalist societies are understood in relation to Marx's rigorously conceived capitalist mode of production, it is apparent that the context in which Marx produced his very earliest work was itself pre-capitalist. It can then be recognized that Marx began by making a significant contribution to an existing framework of critical political theory but also that, following a critical (...) confrontation with English political economy in 1844, he opened new avenues of thought in relation to a new context: capitalism. (shrink)

The Cambridge Capital Controversy was one of the most significant debates in Twentieth Century economics. First published in 1972, this book provides an accessible reconstruction of the controversy with detailed discussion of the major points raised by its primary protagonists: Piero Sraffa and Joan Robinson on the post-Keynesian side and Robert Solow and Paul Samuelson on the neo-classical side. The book is now considered to be a classic. This fiftieth anniversary edition comes with a new preface by the author and (...) two new afterwords that reflect on the author's contribution to the field and the significance of the book in the history of economics. Topics covered include the measurement of capital, the revival of interest in Irving Fisher's rate of return on investment, the double-switching debate, Sraffa's prelude to a critique of neoclassical theory, and the 'new' theories of the rate of profits in capitalist society. (shrink)

G. C. J. Midgley; XIV—Linguistic Rules, Proceedings of the Aristotelian Society, Volume 59, Issue 1, 1 June 1959, Pages 271–290, https://doi.org/10.1093/aristot.