Wittgenstein's philosophy of mathematics has long been notorious. Part of the problem is that it has not been recognized that Wittgenstein, in fact, had two chief post-Tractatus conceptions of mathematics. I have labelled these the calculus conception and the language-game conception. The calculus conception forms a distinct middle period. The goal of my article is to provide a new framework for examining Wittgenstein's philosophies of mathematics and the evolution of his career as a whole. I posit the Hardyian Picture, modelled (...) on the Augustinian Picture, to provide a structure for Wittgenstein's work on the philosophy of mathematics. Wittgenstein's calculus period has not been properly recognized, so I give a detailed account of the tenets of that stage in Wittgenstein's career. Wittgenstein's notorious remarks on contradiction are the test case for my theory of his transition. I show that the bizarreness of those remarks is largely due to the calculus conception, but that Wittgenstein's later language-game account of mathematics keeps the rejection of the Hardyian Picture while correcting the calculus conception's mistakes. (shrink)

This article assesses whether Hellenistic war-elephants were given alcohol before battle. First recorded in 1 Maccabees’ account of the battle of Beth-Zechariah (162b.c.e.), this unusual detail is supported by the later comments of Aelian and Philes of Ephesus. The idea also recalls a failed Ptolemaic attempt to punish the Jews in 3 Maccabees and in Josephus, and resonates with a longstanding association of elephants and alcohol in popular thought. Unfortunately, despite the recent rise in scholarly interest on war-elephants, this issue (...) remains overlooked. This article reassesses the complexities of our sources and the practicalities of Hellenistic battles. Adopting a comparative approach to contemporary Indian material for this practice, it considers the prevalence of elephants in musth in the Indian epics, alongside the etymological link between this condition and Sanskrit concepts of drunkenness. It argues that this connection may have prompted the idea of giving elephants alcohol before battle, despite its unlikeliness as a standard feature of elephant warfare. (shrink)

Recently, a range of educational theorists have explored and extended upon popular currents in political theory through articulating “open” and “unknowing” pedagogies. Such contributions represent a radical turn away from the presumed “universals” found in proclamations of justice and emancipation and, ultimately, the centering of class analysis. At the same time, inspired by and building upon Bourdieuian theory, another cluster of educational research has developed a nuanced understanding of the social, cultural, and educational mechanisms involved in class reproduction. In this (...) essay, Jessica Gerrard offers a critical — though sympathetic — response to these dual trends. Bringing together theories of reproduction in conversation with theories of pedagogical possibility, Gerrard argues for a renewed understanding of working-class relations to education that incorporates an understanding of working-class action and struggle. (shrink)

In order to interpret the work of British photographer Miles Aldridge and gain insight into the semiotic ambiguity of his photographs, this paper relies on the capacity to decipher the photographs’ relationship to other arts such as Italian cinema and in particular, to the work of Italian film director Michelangelo Antonioni. From the perspective of this present study, the decisive role of semiotics in relation to photography is that it promotes an interactive process between artist and spectator. The methodology employed (...) in this study to demonstrate how previous systems of language inspire a semiotic dialogue and produce multiple interpretations is a combination of Umberto Eco’s concept of open work and French narratological theories of hypertextuality. Through an examination of the Italian cinematic influence in the work of Miles Aldridge, this paper demonstrates how generating interpretations becomes an essential element of a photograph’s aesthetics. (shrink)

In this paper I argue, contrary to the traditional interpretation, that dividing Wittgenstein's career into “The Early Wittgenstein” and “The Later Wittgenstein” is a serious distortion. The main task of the paper is to outline a reading of the Tractatus that will give us one Wittgenstein. Building on the work of James Conant, Cora Diamond, Juliet Floyd, Warren Goldfarb, John McDowell, and Hilary Putnam, I will argue that throughout his career, Wittgenstein argued against metaphysical realism. I offer a reading of (...) the Tractatus which is a retelling of the history of early analytic ontology. (shrink)

William Molyneux's friendship with John Locke helped make Locke's ideas well known in early eighteenth-century Dublin. TheEssay Concerning Human Understandingwas placed on the curriculum of Trinity College in 1692, soon after its publication. Yet there has been very little discussion of whether Irish women from this period read or knew Locke's work, or engaged more generally in contemporary philosophical debate. This essay focuses on the work of Laetitia Pilkington (1709–1750) and Mary Barber (1685–1755), two of the Dublin women writers of (...) the so-called ‘Triumfeminate’, a literary and intellectual circle connected to Jonathan Swift which met and discussed ideas at the home of Patrick Delaney. Pilkington and Barber were particularly influenced by Locke's ideas on obstetrics and childhood in hisSome Thoughts Concerning Educationand especially by his discussion of memory in theEssay Concerning Human Understanding. Both authors engage playfully and imaginatively with Locke's theories, especially in a domestic context. Not all philosophical debates took place in the public male spaces of school, coffee house and university. This essay attempts to recreate the contexts in which intellectually curious women of the ‘middling sort’ encountered and engaged with philosophical ideas, especially those of Locke, and how these shaped their writing. (shrink)

Abortion is one of the most divisive topics in healthcare. Proponents and opponents hold strong views. Some health workers who oppose abortion assert a right of conscientious objection to it, a position itself that others find unethical. Even if allowance for objection should be made, it is not clear how far it should extend. Can conscientious objection be given as a reason not to refer when a woman requests her doctor to do so? This paper explores the idea of the (...) general practitioner (GP) who declines to make a direct referral for abortion, asking the woman to see another GP instead. The purpose is to defend the claim that an appeal to conscientious objection in this way can be reasonable and ethical. (shrink)

There is one grand question that lies beneath most of what follows. That question is: what is morality I mean morality as it is contrasted with the non-moral, not as it is opposed to the immoral. The question does not ask, say, whether lying to a friend in a certain situation is moral or immoral, but asks what makes something, for instance lying to a friend, a moral problem. Parts of the same question ask what counts as a moral consideration, (...) as opposed to, say, one of efficiency or aesthetics, or ask what makes a motivation moral as opposed to prudential. The question asks for the boundaries of the domain of morality. (shrink)

Far from being pessimistic or nihilistic, as modern uses of the term "cynic" suggest, the ancient Cynics were astonishingly optimistic regarding human nature. They believed that if one simplified one's life—giving up all unnecessary possessions, desires, and ideas—and lived in the moment as much as possible, one could regain one's natural goodness and happiness. It was a life exemplified most famously by the eccentric Diogenes, nicknamed "the Dog," and his followers, called dog-philosophers, _kunikoi, _or Cynics. Rebellious, self-willed, and ornery but (...) also witty and imaginative, these dog-philosophers are some of the most colorful personalities from antiquity. This engaging introduction to Cynicism considers both the fragmentary ancient evidence on the Cynics and the historical interpretations that have shaped the philosophy over the course of eight centuries—from Diogenes himself to Nietzsche and beyond. Approaching Cynicism from a variety of thematic perspectives as well—their critique of convention, praise of natural simplicity, advocacy of self-sufficiency, defiance of Fortune, and freedom—William Desmond offers a fascinating survey of a school of thought that has had a tremendous influence throughout history and is of continuing interest today. _Copub: Acumen Publishing Limited_. (shrink)

Is liberal democracy the end of history? Is a written constitution the ultimate political authority? Does majority rule equal moral rule? Are all moral values relative? What is the legitimate use of coercive force in society? The New Social Contract—Beyond Liberal Democracy offers an answer to these and other age-old questions.

The earliest phase of philosophy in Europe saw the beginnings of cosmology and rational theology, metaphysics, epistemology, and ethical and political theory. It also saw the development of a wide range of radical and challenging ideas, from Thales' claim that magnets have souls and Parmenides' account of one unchanging existence to the development of an atomist theory of the physical world. This general account of the Presocratics introduces the major Greek philosophical thinkers from the sixth to the middle of the (...) fifth century B.C. It explores how we might reconstruct their views and understand the motivation and context for their work, and it highlights the ongoing philosophical interest of their often surprising claims. Separate chapters are devoted to each of the major Presocratic thinkers, including Xenophanes, Heraclitus, Parmenides, Anaxagoras, Empedocles, Leucippus, and Democritus. With a chronology and guide to further reading, this book is an ideal introduction for the student and general reader. _Copub: Acumen Publishing Limited_. (shrink)

This paper offers a critique of ‘powerful knowledge’ – a concept in Education Studies that has been presented as a just basis for school curricula. Powerful knowledge is disciplinary knowledge produced and refined through a process of ‘specialisation’ that usually occurs in universities. Drawing on postcolonial, decolonial and Indigenous studies, we show how powerful knowledge seems to focus on the progressive impulse of modernity while overlooking the ruination of colonial racism. We call on scholars and practitioners working with the powerful (...) knowledge framework to address more fully the hegemonic relations of disciplinary specialisation and its historical connections to colonial-modernity. This, we argue, would enable curriculum knowledge that is ‘powerful’ in its interrogation of racial violence, rather than in its epistemic reproduction of it. (shrink)

Mainstream theories of decision making conceptualise uncertainty in terms of a well-defined probability distribution or weighting function. Following Knight, radical Keynesians consider subjective expected utility (SEU) theory and its variants as a restricted theory of decision-making applicable to situations of risk and, hence, of limited relevance to the understanding of crucial economic decisions under conditions of fundamental uncertainty in which probabilities are ill-defined, possibly non-existent. The objective of this paper is to outline a radical Keynesian theory of decision-making under uncertainty, (...) arguing that Keynes's suggestion to a two-dimensional probability-credence framework provides the basis for determining the limitations of mainstream approaches and points the way forward to the construction of a more general encompassing theory relevant to psychologists and economists outside of the Keynesian tradition. (shrink)

Hysteresis means literally “that which comes later,” being derived from the Greek verb ύστερέω. Thus, hysteresis effects, generally defined, are those that persist after the initial causes giving rise to the effects are removed. During the course of the 1980s, it became increasingly fashionable to invoke hysteresis effects to explain economic phenomena. Two of the main areas of application were to unemployment and international trade. In the case of unemployment, distinctive features of labor markets, such as social norms that rule (...) out wage-cutting in the face of rising unemployment, imply that “increases in unemployment have a direct impact on the ‘natural’ rate of unemployment”. The implication for macroeconomic systems is that “temporary shocks can have a permanent effect on the level of employment”. In the case of international trade, hysteresis effects arise from the industrial economics of sunk costs: “the argument is that firms must incur sunk costs to enter new markets, and cannot recoup these costs if they exit.… thus foreign firms that entered the U.S. market when the dollar was high do not abandon their sunk cost investments when the dollar falls.” The implication for trade flows is “an effect which persists after the cause that brought it about has been removed”. (shrink)

The nature and content of the thought of Duns Scotus (c. 1266-1308) remains largely unknown except by the expert. This book provides an accessible account of Scotus' theology, focusing both on what is distinctive in his thought, and on issues where his insights might prove to be of perennial value.

One of the most important and consistent voices in the reform of science education over the last thirty years has been that of Peter Fensham. His vision of a democratic and socially responsible science education for all has inspired change in schools and colleges throughout the world. Often moving against the tide, Fensham travelled the world to promote his radical ideology. He was appointed Australia's first Professor of Science Education, and was later made a Member of the Order of Australia (...) in recognition of his work in this new and emerging field of study. In this unique book, leading science educators from around the world examine and discuss Fensham's key ideas. Each describes how his arguments, proposals and recommendations have affected their own practice, and extend and modify his message in light of current issues and trends in science education. The result is a vision for the future of science teaching internationally. Academics, researchers and practitioners in science education around the world will find this book a fascinating insight into the life and work of one of the foremost pioneers in science education. The book will also make inspiring reading for postgraduate students of science education. (shrink)

Challenging Situatedness contends that the production of knowledge is just that—a production, and one fraught with intrinsic and often unconscious biases. In fact, to assume that scientific research is inherently objective, neutral, and therefore genderless can, quite literally, be harmful to one's health. The contributors to this volume instead argue for a situated knowledge, a research model that acknowledges different cultural realities and actively articulates context-rich ways of knowing. Drawing on international research studies—from Cameroon, Ghana, India, and Sweden, among others— (...) Challenging Situatedness is a vital exploration of feminist theory in practice. (shrink)

This book develops dynamic economic models using the perspective and analytic framework provided by psychological learning theory. This framework is used to resolve apparent contradictions between optimization theory, which lies at the heart of all modern economic theory, and day-to-day evidence that short-run economic behaviour cannot reasonably be described solely as the outcome of efficiently implemented self-interest. The author applies this viewpoint to a number of problem areas in which literal applications of maximization theory have not usually proved to be (...) satisfactory. These include analyses of decision-making under uncertainty and gambling behaviour, the role of consumer-oriented advertising in influencing behaviour, the persistence of price dispersions in markets, and inflation. (shrink)

"This volume is a collection of essays based on lectures given at the Orpheus Institute in Ghent at various occasions over the last 4 years.

"Quod habet principium sed caret fine": this idea of the perpetual is expresssed in both the schools and courts of the twelfth-century renaissance. The philosophers conceive the perpetual as intermediate between time and eternity; according to masters of the school of Chartres, moreover, the world itself is perpetual. For the troubadour poets, the perpetual functions rhetorically. The moralist Marcabru treats the personified abstraction as perpetual, continuous in identity yet subject to change, thus achieving a satiric duality of vision. The love (...) poet Bernart de Ventadorn develops a "poetics of perpetuity", using the very tensions and instabilities of fin'amors to fashions ideal and endless courtly worlds. (shrink)

If a critique of everyday life is to become a serious undertaking, virtually everything we experience needs to be subjected to careful and critical scrutiny. Even fairy tales. Like so much else in modern culture, these tales may not be as innocuous as they appear. To the extent that the culture industry has appropriated them and uses their motifs to manipulate consciousness or shape behavior, especially in children, fairy tales may be more effective as instruments of social control than one (...) would think. Perhaps for this reason the study of these tales is too important to be left to folklore aficionados or specialists in children's literature. (shrink)

Among pathogenic micro‐organisms that evade the mammalian immune responses, Trypanosoma brucei has developed the most elaborate capacity for antigenic variation. Trypanosomes branched early during eukaryotic evolution. They are characterized by many aberrations, ranging from the unusual compartmentation of metabolic pathways to the heresy of RNA editing. The ubiquitous phenomenon of glycosylphosphatidylinositol‐anchoring of eukaryotic plasma membrane proteins and RNA trans‐splicing (trypanosome genes contain no introns), which adds an identical leader sequence to all trypanosome mRNAs, were first defined during studies of antigenic (...) variation. Genetic transformation of trypanosomes and the high efficiency of gene targeting provide new opportunities to investigate the regulation of antigenic variation. There is every reason to expect trypanosomes to provide further surprises and insights into the evolution of genetic regulatory mechanisms. (shrink)

I compare the failure of counterfactual dependence as a criterion of event causation to the failure of stochastic dependence as a criterion of causal law. Counterexamples to the stochastic analysis arise from cases of Simpson's Paradox, and Nancy Cartwright has suggested a way of transforming the stochastic analysis into something that avoids these counterexample. There is an analogical relationship between cases of Simpson's Paradox and cases of causal overdetermination. I exploit this analogical relationship to motivate my own view about the (...) connection between counterfactuals and event causation. According to my view, counterfactuals and event causation are intimately connected by a principle which falls short of being an analysis but which, as I show, correctly handles not only overdetermination but common causes as well. (shrink)

Drawing on insights from the medieval theologians Duns Scotus and Hervaeus Natalis, I argue that medieval views of the incarnation require that there is a sense in which the divine person depends on his human nature for his human personhood, and thus that the paradigmatic pattern of human personhood is in some way dependent existence. I relate this to a modern distinction between impairment and disability to show that impairment—understood as dependence—is normative for human personhood. I try to show how (...) medieval theories of the resurrection of the body can provide, within this context, plausible accounts of what it might be for human persons to be redeemed. (shrink)

The coherence of the whole truth is a presupposition of any holistic coherence theory of justification that postulates a positive connection between justification and truth, for unless the whole truth is itself systemically coherent there is no reason to look for systemic coherence when deciding whether one is justified in accepting a given body of beliefs as true. This paper develops a formal model of holistic evidential coherence and uses this model to formalize and defend the claim that the whole (...) truth must be coherent in an evidential sense. (shrink)

Several critics of realist theories of political legitimacy have alleged that it possesses a problematic bias towards the status quo. This bias is thought to be reflected in the way in which these...