This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control (...) theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples.This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists. (shrink)

Introduction -- Evidence from children -- Evidence form infants and non-human animals -- Evidence from neuroimaging and neuropsychology -- Evidence from adults -- The cognitive basis of mindreading -- Elaborating and applying the theory.

Many people find themselves dissatisfied with recent linguistic philosophy, and yet know that language has always mattered deeply to philosophy and must in some sense continue to do so. Ian Hacking considers here some dozen case studies in the history of philosophy to show the different ways in which language has been important, and the consequences for the development of the subject. There are chapters on, among others, Hobbes, Berkeley, Russell, Ayer, Wittgenstein, Chomsky, Feyerabend and Davidson. Dr Hacking ends by (...) speculating about the directions in which philosophy and the study of language seem likely to go. The book will provide students with a stimulating, broad survey of problems in the theory of meaning and the development of philosophy, particularly in this century. The topics treated in the philosophy of language are among the central, current concerns of philosophers, and the historical framework makes it possible to introduce concretely and intelligibly all the main theoretical issues. (shrink)

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that (...) proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities. (shrink)

Plato of Athens, who laid the foundations of the Western philosophical tradition and in range and depth ranks among its greatest practitioners, was born to a prosperous and politically active family circa 427 BC. In early life an admirer of Socrates, Plato later founded the first institution of higher learning in the West, the Academy, among whose many notable alumni was Aristotle. Traditionally ascribed to Plato are thirty-five dialogues developing Socrates' dialectic method and composed with great stylistic virtuosity, together with (...) the Apology and thirteen letters. The four works in this volume recount the circumstances of Socrates' trial and execution in 399 BC. In Euthyphro, set in the weeks before the trial, Socrates and Euthyphro attempt to define holiness. In Apology, Socrates answers his accusers at trial and unapologetically defends his philosophical career. In Crito, a discussion of justice and injustice explains Socrates' refusal of Crito's offer to finance his escape from prison. And in Phaedo, Socrates discusses the concept of an afterlife and offers arguments for the immortality of the soul. This edition, which replaces the original Loeb edition by Harold North Fowler, offers text, translation, and annotation that are fully current with modern scholarship." -- Publisher's description. (shrink)

It is widely held that a successful theory of the mind will be neuroscientific. In this paper we ask, first, what this claim means, and, secondly, whether it is true. In answer to the first question, we argue that the claim is ambiguous between two views--one plausible but unsubstantive, and one substantive but highly controversial. In answer to the second question, we argue that neither the evidence from neuroscience itself nor from other scientific and philosophical considerations supports the controversial view.

. In responding to Taede Smedes, I first examine his thesis that the recent dialogue between science and religion has been dominated by scientism and does not take theology seriously. I then consider his views on divine action, free will and determinism, and process philosophy. Finally I use the fourfold typology of Conflict, Independence, Dialogue, and Integration to discuss his proposal for the future of science and religion.

In this paper, I argue that Plotinus offers us a new and interesting account of self-intellection. It is an account which is informed to some extent by a dilemma that Sextus Empiricus raised about the intellect being to apprehend itself. The significance of Sextus' dilemma is that it sets out the framework within which such a cognitive activity is to be dealt with, namely the intellect must apprehend itself qua part or qua whole, both of which according to him are (...) impossible. Plotinus, I think, successfully gets around this dilemma and is able to explain how the intellect can think itself qua whole. In the process of doing so, he offers an account of self-intellection in which the thinking subject or thinker becomes active in terms of generating its intellectual content, namely itself; a move which is a break from the traditional Platonic/Aristotelian account of the intellect. The paper itself is set up as follows. I start by mentioning the dilemma which Sextus raises about self-intellection. Then I attempt, through an analysis of the noetic intellect's structure, to show how Plotinus is able to offer an account of self-intellection in terms of whole apprehending whole. I conclude with Plotinus' analysis of the light analogy as a means of explaining how this intellectual process works. (shrink)

The primary aim of this paper is to highlight, at least in short, how the resources of experimental philosophy could be fruitfully applied to the evidential problem of evil. To do this, we will consider two of the most influential and archetypal formulations of the problem: William L. Rowe’s article, “The Problem of Evil and Some Varieties of Atheism” (1979). and Paul Draper’s article, “Pain and Pleasure: An Evidential Problem for Theists” (1989). We will consider the relevance of experimental philosophy (...) to Rowe’s 1979 argument in §1 and to Draper’s 1989 argument in §2. But in addition to exploring how the resources of experimental philosophy might apply to the problem of evil, it is also worth exploring what broader empirical factors might contribute to people having the intuitions that have—from someone’s affective state to someone’s need for closure. In §3, we want to very briefly elucidate a few areas where the psychology of philosophy might be productively explored in future empirical research. (shrink)

Deep brain stimulation interventions are novel devices being investigated for the management of severe treatment-resistant psychiatric illnesses. These interventions require the invasive implantation of high-frequency neurostimulatory probes intracranially aiming to provide symptom relief in treatment-resistant disorders including obsessive-compulsive disorder and anorexia nervosa. In the scientific literature, these neurostimulatory interventions are commonly described as reversible and to be used as a last resort option for psychiatric patients. However, the ‘last resort’ status of these interventions is rarely expanded upon. Contrastingly, usages of (...) DBS devices for neurological symptoms have paved the way for established safety and efficacy standards when used earlier in a disease’s timeline. As DBS treatments for these neurological diseases progress to have earlier indications, there is a parallel ethical concern that early implementation may one day become prescribed for psychiatric illnesses. The purpose of this article is to build off contemporary understandings of reversible neurostimulatory interventions to examine and provide clarifications on the ‘last resort’ status of DBS to better address its ethically charged use in psychiatric neurosurgery. To do this, evaluative differences between DBS treatments will be discussed to demonstrate how patient autonomy would be a paramount guiding principle when one day implementing these devices at various points along a psychiatric disease’s timeline. In presenting the clarification of ‘last resort’ status, the ethical tensions of early DBS interventions will be better understood to assist in providing psychiatric patients with more quality of life years in line with their values. (shrink)

The recent upsurge in “brain-training and perceptual-cognitive-training", proposing to improve isolated processes such as brain function, visual perception and decision-making, has created significant interest in elite sports practitioners, seeking to create an ‘edge’ for athletes. The claims of these related 'performance-enhancing industries' can be considered together as part of a process training approach proposing enhanced cognitive and perceptual skills and brain capacity, to support performance in everyday life activities, including sport. For example, the 'process-training industry' promotes the idea that playing (...) games not only makes you a better player, but also smarter, more alert, and a faster learner. In this position paper we critically evaluate the effectiveness of both types of process-training programmes in generalizing transfer to sport performance. These issues are addressed in three stages. First, we evaluate empirical evidence in support of perceptual-cognitive process training, and its application to enhancing sport performance. Second, we critically review putative modularised mechanisms underpinning this kind of training, addressing limitations and subsequent problems. Specifically, we consider merits of this highly specific form of training, which focuses on training of isolated processes such as cognitive processes (attention, memory, thinking) and visual perception processes, separately from performance behaviors and actions. We conclude that these approaches may, at best, may provide some 'general transfer' of underlying processes to specific sport environments, but lack 'specificity of transfer' to contextualize actual performance behaviors. A major weakness of process training methods is their focus on enhancing performance in body “modules” (e.g., eye, brain, memory, anticipatory sub-systems). What is lacking is evidence on how these isolated components are modified and subsequently interact with other process “modules”, which are considered to underlie sport performance. Finally, we propose how an ecological dynamics approach, aligned with an embodied framework of cognition undermines the rationale that modularised processes can enhance performance in competitive sport. An ecological dynamics perspective proposes that the body is a complex adaptive system, interacting with performance environments in a functionally integrated manner, emphasising that the inter-relation between motor processes, cognitive and perceptual functions and the constraints of a sport task is best understood at the performer-environment scale of analysis. (shrink)

As a young bachelor of theology William of Ockham found himself under attack for—among other things—views he had expressed regarding the Aristotelian accident of quantity and the related question of Christ’s presence in the Eucharist. This essay focuses on Ockham’s conception of academic freedom as it was articulated in defense of his own position. Against fellow schoolmen who mistake their own magisterial opinions for settled Catholic dogma, Ockham insists on the latitude that is afforded scholars in matters that have not (...) yet been definitively determined by the Roman Church. Hence when it comes to the precise alignment of the eucharistic accidents, until such time as the Roman Pontiff hands down an official determination, Ockham contends that he is under no obligation to yield to the pressures of envious academics. The younger Ockham, who pointedly refrains from accusing his opponents of heresy, simply asks that they would exhibit the same restraint. (shrink)

In recent years quantum probability models have been used to explain many aspects of human decision making, and as such quantum models have been considered a viable alternative to Bayesian models based on classical probability. One criticism that is often leveled at both kinds of models is that they lack a clear interpretation in terms of psychological mechanisms. In this paper we discuss the mechanistic underpinnings of a quantum walk model of human decision making and response time. The quantum walk (...) model is compared to standard sequential sampling models, and the architectural assumptions of both are considered. In particular, we show that the quantum model has a natural interpretation in terms of a cognitive architecture that is both massively parallel and involves both co-operative and competitive interactions between units. Additionally, we introduce a family of models that includes aspects of the classical and quantum walk models. (shrink)

The first mission of Zygon has been the exploration of the relation between Religion and Science. The second, I suggest, has been consideration of the relation between Ethics and Technology. Some articles have given attention to the relation of Religion to Ethics, or that of Science to Technology. The interaction of Ethics and Science, and that of Religion and Technology, are also significant. I give examples of articles or symposia in each of these categories and close with great hope for (...) Zygon's future. (shrink)

This paper presents a calculus for mereotopological reasoning in which two-dimensional spatial regions are treated as primitive entities. A first order predicate language ℒ with a distinguished unary predicate c(x), function-symbols +, · and - and constants 0 and 1 is defined. An interpretation ℜ for ℒ is provided in which polygonal open subsets of the real plane serve as elements of the domain. Under this interpretation the predicate c(x) is read as 'region x is connected' and the function-symbols and (...) constants are given their meaning in terms of a Boolean algebra of polygons. We give an alternative interpretation ������ base on the real closed plane which turns out to be isomorphic to ℜ. A set of axioms and a rule of inference are introduced. We prove the soundness and completeness of the calculus with respect to the given interpretation. (shrink)

Many have wondered about the similarity in name of American critical realism and the movement of the same name begun by Roy Bhaskar. The figure of Maurice Mandelbaum complicates the relationship, not only due to his career bridging the two movements but also Mandelbaum's concern not only with traditional concerns of American critical realism (epistemology and philosophy of science) but the nature of society, the nature of social explanation, and naturalism. This volume reflects both on Mandelbaum's own career and the (...) relation of his thought to Bhaskar's critical realism. By examining Mandelbaum's commitments to phenomenology within critical realism, as well as his goal to enlighten social scientific and above all historiographical categories, it is possible to see how Mandelbaum went beyond the scientific realism of his predecessors. At the same time, a fruitful comparison with Bhaskar's and others' thought is undertaken by examining mandelbaum's solutions to the problems of the ontology of sociology and social laws, the dynamics of cultural change and the overriding master narratives that govern late capitalism. By explaining Mandelbaum's scrupulous attempt to address the horrors of the twentieth century, it is possible to appreciate his significance for the twenty-first. A timely and important book, Maurice Mandelbaum and American Critical Realism is essential reading for all serious students of critical realism and twentieth century philosophy. (shrink)

This book examines the goals of civic education in liberal democracy, and demonstrates how we can recognize the value of the kinds of character formation that civic education has traditionally involved without losing the portion of the truth that can be found in the orthodox view which favors critical autonomy.

How is a person's freedom related to his or her preferences? Liberal theorists of negative freedom have generally taken the view that the desire of a person to do or not do something is irrelevant to the question of whether he is free to do it. Supporters of the “pure negative” conception of freedom have advocated this view in its starkest form: they maintain that a person is unfree to Φ if and only if he is prevented from Φ-ing by (...) the conduct or dispositions of some other person. This definition of freedom is value-neutral in the sense that no reference is made to preferences over options or indeed to any other indicators of the values of options, either in the characterization of “Φ-ing” itself or in the characterization of the way in which Φ-ing can be constrained. (shrink)

This is a copy of my DPhil thesis, the abstract for which is as follows: The first third of this thesis argues for a B-theoretic conception of time according to which all times exist equally and the present is in no way privileged. I distinguish "ontological" A-theories from "non-ontological" ones, arguing that the latter are experientially unmotivated and barely coherent. With regard to the former, I focus mainly on presentism. After some remarks on how to formulate this (and eternalism) non-trivially, (...) I review the non-relativistic case against presentism. I then consider the impact of Special Relativity on the debate, and attempt to deepen this impact by supplying a modal variation on the standard arguments. The middle third of the thesis investigates persistence, contending that both endurance and perdurance are consonant with the eternalism already endorsed. After introducing these theories of persistence, and discussing in particular how best to formulate an eternalist endurance, I proceed to defend the coherence of this combination. The Problem of Change is addressed here. I then respond in some detail to recent allegations of relativistic threats to endurance. The final third of the thesis questions the validity of the endurantist-perdurantist dispute. I criticize two recently proposed translation schemes that aim to show this dispute to be non-substantive. However, the second scheme suggests a doctrine of "Ontological Equivalence" which I develop and consider. I then address the Rotating Discs Argument, using this to launch a discussion of identity, genidentity, and the relationship between them. (shrink)

We explore two special challenges indigenous peoples pose to the idea of sovereigns as trustees for humanity. The first challenge is rooted in a colonial history during which a trusteeship model of sovereignty served as an enabler of paternalistic colonial policies. The challenge is to show that the trusteeship model is not irreparably colonial in nature. The second challenge, which emerges from the first, is to specify the scope and nature of indigenous peoples’ sovereignty within the trusteeship model. Whereas the (...) interaction between states and foreign nationals is the locus of cosmopolitan law, the relationship between states and indigenous peoples is distinctive. In the ordinary cosmopolitan case, foreign nationals do not purport to possess legal authority. Indigenous peoples often do make such a claim, pitting their claim to authority against the state’s. We discuss how international law has attempted to come to grips with indigenous sovereignty by requiring states to include indigenous peoples in decision-making processes that affect their historical lands and rights. A crucial fault line in the jurisprudence, however, separates a duty to consult indigenous peoples from a duty to acquire their free, prior and informed consent. The latter but not the former recognizes that indigenous peoples possess a veto over state projects on their lands, in effect recognizing in them a limited co-legislative power. We focus on recent jurisprudence from the Inter-American Court of Human Rights, and consider whether either the duty to consult or FPIC are enough to dispel the shadow of the trusteeship model’s colonial past. We suggest that they are a move in the right direction, and that implicitly they represent international law’s recognition that states are no longer the sole bearers of sovereignty at international law. In limited circumstances, international law recognizes indigenous peoples as sovereign actors. (shrink)

During this article, I look at three images of thought which feature in Deleuze and Guattari’s A Thousand Plateaus and consider their relevance to contemporary pedagogy. Deleuze and Guattari begin by discussing tree-like thought, which involves an insular depiction of the world. I suggest that the performative apparatus, which structures contemporary pedagogy in the comprehensive school, is also tree-like. Deleuze and Guattari’s second image of thought is the fascicular root. Here the principle root is aborted leading to a multiplicity, which (...) flows from it. With fascicular thought, the unity, which is aborted in the object, is returned to in the subject who gains control of multiplicities. In this section I provide a reading of a Classics lesson portrayed in The Secret History by Donna Tartt and go on to focus on Ronald Barnett’s contribution to a debate with Paul Standish, which features in The Blackwell Guide to the Philosophy of Education. In the third section of the article, I consider Deleuze and Guattari’s third image of thought—the rhizome. Rhizomes grow by a process of cloning or lateral spreading; they do not have the central trunk of the tree, with roots and branches extending outwards from this. At the end of this section, I look at two Classics lessons that represent tree-like and rhizomatic pedagogies in turn. I attempt to enrich this discussion by providing a reading of a scene from The History Boys. (shrink)

Business and Society Review, Volume 127, Issue S1, Page 163-165, Spring 2022.

Approaches to environmental verification, broadly defined, including varieties of certification and testing, is always intended to change production processes, and cause structural changes. However, sometimes these approaches can differ substantially—based on values and objectives—and thus structure farming processes in varied ways. They can also affect nature-society relations, by determining what differences matter, emphasizing ways of assessing standards that are deemed important, and deciding whether those standards have been met. Here, I compare two types of environmental verification systems for organic and (...) “safe” or “clean” rice, one in northeastern Thailand and the other in southern Laos. The approach used in northeastern Thailand is designed predominantly to gain access to Europe and the United States markets, and is dependent on regular and detailed farm documentation, inspections, and interviews. The other is more of a residue testing and marketing system, one that also has important environmental implications and is being applied for rice from southern Laos. I call the first process-based verification, and the second product-based verification. It is contended here that we need to consider how environmental verification in different forms variously structures production systems, although there are also other important factors, such as China-Laos relations. Crucially, these practices variously affect cultivation and production practices, and thus have important environmental implications, whether fully intended or not. (shrink)