The dynamics of single populations up to ecosystems, are often described by one or a set of non-linear ordinary differential equations. In this paper we review the use of bifurcation theory to analyse these non-linear dynamical systems. Bifurcation analysis gives regimes in the parameter space with quantitatively different asymptotic dynamic behaviour of the system. In small-scale systems the underlying models for the populations and their interaction are simple Lotka-Volterra models or more elaborated models with more biological detail. The latter ones (...) are more difficult to analyse, especially when the number of populations is large. Therefore for large-scale systems the Lotka-Volterra equations are still popular despite the limited realism. Various approaches are discussed in which the different time-scale of ecological and evolutionary biological processes are considered together. (shrink)

The late John Burrow, one of the most stimulating promoters of the distinctively interdisciplinary enterprise that is Intellectual History, was a vital member of what has become known as the ‘Sussex School’. In exploring the resonances of his singular and richly idiosyncratic contribution, this article places his unique historical sensibility within a series of interpretative contexts, demonstrating the vitality of writings that will continue to inspire and inform scholarship in the field for decades to come. ☆ The Sussex Centre for (...) Intellectual History Lecture delivered at the University of Sussex on 21st October, 2010. I am deeply indebted to Noël Sugimura for reading and commenting on an earlier version of the present essay with her customary sense and sensibility. (shrink)

The study of historiography is undergoing a revolution akin to that which took place in the history of political thought in the 1960s, and the work of J.G.A. Pocock is central to both. Pocock's continuing exploration, in Barbarism and Religion (1999-), of the intellectual contexts of Gibbon's History of the Decline and Fall of the Roman Empire, is central to this enterprise, and this essay situates the origins of his own work within a pre-‘Cambridge School’ Cambridge and its experience of (...) what might be called the Butterfieldian moment. That was marked by a desire to treat religion seriously as a driving force in history; and the same concern is applied here to further understanding an eighteenth-century controversy in which history and religion were dramatically involved, and which profoundly affected Gibbon's own historical and religious views. The work of Conyers Middleton and John Jortin is critically examined from this perspective. These preludes to Gibbon lead to a series of postludes examining the particular contexts in which Victorian and twentieth-century historians and writers, from Henry Hart Milman to Evelyn Waugh, variously appreciated and interpreted Gibbon. The whole is to be seen as a reflexive engagement with Pocock's vitally illuminating studies in eighteenth-century historiography. ☆ A slightly revised version of a lecture given at the University of Sussex on 22nd May 2008, on the occasion of a colloquium devoted to J.G.A. Pocock's Barbarism and Religion. It had originally acted as a prelude to a lecture by Pocock on the same occasion, subsequently published as ‘Gibbon and the invention of Gibbon: chapters 15 and 16 reconsidered’, History of European Ideas 35 (2009), 209–16. In this sense, therefore, the present essay has become a postlude. I am deeply grateful to Noël Sugimura for generously reading and commenting on the rescoring of a lecture into an essay. (shrink)

From what has been argued, it should now be apparent how Heidegger's philosophy of the affect, its ontological disclosures and its relation to authenticity might be enlarged to meet certain marxist challenges. The most valuable instruction to be gained from these citicisms, I think, is that which Lukacs offers in the example of Szilasi's intuition of co-presence. Traditional phenomenology needs to enrich its investigations into the social and historical reality of situation. Kosik's point that Heideggerian authenticity lacks the crucial third (...) step (revolutionary change of society) is also profound but again, not incompatiblein se with Heidegger's concept. Alternatively, one might as easily say that Critical Marxism or any Marxist Humanism can still be enriched by certain Heideggerian insights. (shrink)

Luke in the preface of his Gospel says that he is going to write ‘in an orderly account’ (Lk 1:3). However, scholars have no consensus about the kind of order Luke is seeking. Many believe that Luke writes as a historian. Because Greco-Roman historians seem to have a practice to indicate in their prefaces the writing methodologies of their writings, this article aims to ascertain Luke’s writing order through a comparison of Luke’s two prefaces with those in the writings of (...) the Greco-Roman historians. This article proposes that Luke most likely adopts the common writing methodologies of the Greco-Roman historians and writes in chronological order. (shrink)

These are three welcome works on medieval logic. The Summa Logica of William of Ockham has long been a classic, and scholars have been waiting for this critical edition, begun almost a quarter of a century ago by Philotheus Boehner and finally brought to completion by the combined efforts of Stephen Brown and especially Gedeon Gal, now the general editor of the Opera Philosophica et Theologica being prepared at the Franciscan Institute at St. Bonaventure University. The editors date this work (...) after the Commentary on the Sentences, two volumes of which have already appeared in the above mentioned series. It also postdates Ockham’s commentaries on Porphyry, the Praedicamenta, Perihermenias, and Sophisticis Elenchis, as well as the first four books of Aristotle’s Physics. As a terminus ante quem the editors take the fifth book of this same Physics and see it as certainly prior to the Tractatus de praedestinatione, and to the De corpore Christi and De Sacramento Altaris. Parts of the Quodlibetal questions, however, precede it, and others follow. Loux’s translation, unfortunately, antedated this splendid edition of the Summa Logicae, being based on only the partial, earlier edition of Boehner. Nevertheless, it is a useful instrument providing a good and relatively complete introduction to the basic themes of Ockham’s philosophy of language as well as his ontology. A spot check reveals some misprints, e.g., on pp. 56, 192 and on page 38, lines 68-83 of the Latin edition he used have not been translated. The work is introduced by two essays: "The Ontology of William Ockham" and "Ockham on Generality"—the latter dealing with his theory of supposition. Nuchelmans’ interesting work, though it deals mostly with the medieval history of propositions as bearers of truth and falsity, contains some six chapters which trace the history of the term as early as Plato’s treatment in the Sophist, through Aristotle and the important Stoic lekton and axioma. He also concludes with a useful chapter on the significance of a true propositio, both as a mode of being of a thing and as the mental conception.—A.B.W. (shrink)

The use of placebo as a control condition in clinical trials of major depressive disorder and anxiety disorders continues to be an area of ethical concern. Typically, opponents of placebo controls argue that they violate the beneficent-based, “best proven diagnostic and therapeutic method” that the original Helsinki Declaration of 1964 famously asserted participants are owed. A more consequentialist, oppositional argument is that participants receiving placebo might suffer enormously by being deprived of their usual medication(s). Nevertheless, recent findings of potential for (...) suicidality in young people treated with antidepressants, along with meta-analyses suggesting that antidepressants add no significant clinical benefit over placebos, warrant a re-evaluation of the arguments against placebo. Furthermore, the nature of placebo treatment in short-term clinical trials is often not well understood, and lack of understanding can foster opposition to it. This paper will show how scientific justifications for placebo use are morally relevant. The fundamental ethical importance of placebo controls is discussed in relation to several aspects of clinical trials, including detection of adverse events, accurate assessment of clinical benefit, advancing understanding of the heterogeneity of depression and anxiety disorders and respecting informed consent requirements. Prohibiting the use of placebo controls is morally concerning in that such prohibitions allow for the possibility of serious adverse public health consequences. Moral worries that research participants receiving placebo are being unduly jeopardised will be shown to be exaggerated, especially in relation to the net benefits for end-users to be gained from the quality of data resulting from using placebo controls. (shrink)

This work represents an attempt to assess the nature and extent of Moore's influence on twentieth century philosophy. The essays it contains were all written in or after 1958, the year of Moore's death, by philosophers whom he knew and respected. As such the writers were often able to highlight certain neglected aspects of his thought as well as ideas he never put in print. Though 10 of the 19 essays have appeared in print before, there are original papers by (...) Ryle, Ewing, William and Martha Kneale, Ayer, Lazerowitz and Urmson as well as somewhat longer studies by Kennick, Greig and Redpath. Together they deal with practically every aspect of Moore's metaphysical and ethical views, his often misunderstood philosophy of common sense, and the special methodology he thought particularly appropriate for investigating philosophical problems. In addition to special treatises on his views on utilitarianism, the naturalistic fallacy, free will, and propositions, the book is introduced with the delightful biographical study Braithwaite did for the Proceedings of the British Academy. The editors see Moore's writings not only as a model of the standard of exactness and refinement of thought one has come to expect of a careful philosopher, but as altering the direction of philosophical investigation. His method of analysis, and especially his ability to translate abstract formulations into concrete meanings, opened the eyes of philosophers to the fuzzy aspects and latent confusions in their own views and arguments. As his former pupils, the editors may be excused for feeling that philosophy after Moore will never be the same as before, but by bringing together this fine selection of essays they have done much to insure his contribution will not be forgotten.--A. B. W. (shrink)