Kent A. Peacock

Naturalism in Mathematics PENELOPE MADDY, 1997 Oxford, Oxford University Press viii + 254 pp., $CAN91, ISBN 0–19–823573–9 Bohmian Mechanics and Quantum Theory: an Appraisal JAMES T. CUSHING, ARTHUR FINE & SHELDON GOLDSTEIN, 1996 Dordrecht, Kluwer viii + 403, pp., US$159.00, ISBN 0–7923–4028–0 Pragmatism as a Principle and Method of Right Thinking: the 1903 Harvard Lectures on Pragmatism CHARLES SANDERS PEIRCE, 1997 Edited and introduced, with a commentary, by PATRICIA ANN TURRISI Albany, State University of New York Press xi + 305 pp., $26.53 ISBN 0–7914–3265–3 ISBN 0–7914–3266–1

There are a lot of expressions of pessimism these days about whether we can save the environment — and thereby ourselves. Some of this pessimism is self-serving, but most of it is quite genuine. People look at the trends, and they despair — or else go into denial. And those who despair will almost invariably point to one factor above all others — the threat of overpopulation. No matter whether we recycle all our waste, switch entirely to non-polluting energy sources, sponge the skies of CFCs and greenhouse emissions, turn the deserts into gardens, and save the rainforests and the poor whales, all these gains will be washed away, these people say, by a surging tide of hungry hominids. My topic today, therefore, is the population boom. I want to consider the following question: is it inevitable that humanity must overwhelm itself in hungry babies? And I shall argue that the answer is a firm no — that while it is possible, and maybe even probable, that this catastrophe will happen, it is not inevitable. First, let’s take a clear-eyed look at some worrisome numbers, so that no one can say we are ignoring the facts. The world population clock has recently clicked over the six billion mark. I myself remember when it passed three billion. That was back around the time when the Beatles were driving teenie-boppers into hysterics; not all that long ago, really. We are currently adding nearly 90 million new hungry mouths every year, roughly three Canadas. Try to imagine the consequences if 90 million immigrants showed up at our borders in one year. In fact, the rate of increase has slowed down a little bit since the sixties and early seventies. Demographic experts are desperately trying to project on the basis of current trends, but the best they can do is to guess that world population will level out around ten billions or so, roughly around 2050. Will we all breathe a sigh of relief at that point, convinced that we have dodged the bullet? The problem is, of course, that it is not clear that we can continue, much longer, to provide even for the present world population, let alone a few billions more, given our current, highly wasteful methods of land use and resource extraction..

Sherlock Holmes is reputed to have once remarked impatiently to his earnest but plodding colleague Watson, “How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth?” In Quantum Non-Locality and Relativity, Tim Maudlin offers us a thorough and provocative argument based on this methodological principle. Maudlin insists that all explanations of the mysterious non-local correlations of quantum mechanics must by now be rejected except one: distant events in quantum systems really are “causally implicated” in a way that directly challenges the theory of relativity. Physicists and philosophers of science have made virtually every conceivable move to avoid this unsettling conclusion, including tinkering with the basic formalism or interpretation of the theory, and Arthur Fine’s oddly postmodernist recommendation that we should abandon as outmoded “essentialism” all hope of explaining the correlations. However, the threat to relativity just won’t go away. Maudlin argues that we should have paid better attention in the first place to J. S. Bell, who “concluded that violations of [his] inequality demonstrate that the world is not locally causal.... Instead of trying to deny these non-local influences, we should begin to study the role such influences must play in generating the phenomena”.

The purpose of this paper is to pick up the threads of a debate about the ontology of becoming in spacetime that was triggered by a provocative article published by Nicholas Maxwell in 1985. This debate is itself merely a recent episode in a long dialogue that goes back at least as far as the time of Parmenides and Heraclitus. Here is the question around which this debate centres: is change or becoming the distinguishing feature of the natural or physical world, as suggested obscurely by Heraclitus and argued at length by Aristotle? Or is our usual uncritical belief in the reality of change the product of some sort of perceptual illusion or intellectual error, as believed by Parmenides and a small host of recent authors such as Gödel and Julian Barbour? I won’t be able to solve the whole of this momentous problem here. However, I intend both to set aside a few unwarranted assumptions which have for a long time dogged our thinking about the puzzle of becoming, and to assemble some tools which should aid in finding a solution to it. In particular, I will argue that we can do much better than is usually supposed in identifying structures which can both “live” within Minkowski spacetime and represent objective becoming. I shall also discuss whether such structures would necessarily contradict the Principle.

The most pressing problems facing humanity today - over-population, energy shortages, climate change, soil erosion, species extinctions, the risk of epidemic disease, the threat of warfare that could destroy all the hard-won gains of civilization, and even the recent fibrillations of the stock market - are all ecological or have a large ecological component. in this volume philosophers turn their attention to understanding the science of ecology and its huge implications for the human project. To get the application of ecology to policy or other practical concerns right, humanity needs a clear and disinterested philosophical understanding of ecology which can help identify the practical lessons of science. Conversely, the urgent practical demands humanity faces today cannot help but direct scientific and philosophical investigation toward the basis of those ecological challenges that threaten human survival. This book will help to fuel the timely renaissance of interest in philosophy of ecology that is now occurring in the philosophical profession. Provides a bridge between philosophy and current scientific findings Covers theory and applications Encourages multi-disciplinary dialogue.

Not too many metaphysicians in these hypercritical times would dream of offering a theory of everything, but Storrs McCall, who modestly compares his new book to The Origin of Species, claims that his theory may accomplish nothing less than to "illuminate, perhaps even resolve" problems such as "the direction and flow of time; what causation consists of; the nature of scientific laws; the interpretation of quantum mechanics; objective probability; counterfactuals and related conditionals; the identity of individuals across possible worlds; essential properties... practical reason and decision, and the problem of free will". His attempt is breathtaking in its thoroughness and ingenuity.