Christopher Ormell; Is the Uncertainty of Mathematics the Real Source of Its Intellectual Charm?, Journal of Philosophy of Education, Volume 27, Issue 1, 30 May.

Christopher Ormell; Is the Uncertainty of Mathematics the Real Source of Its Intellectual Charm?, Journal of Philosophy of Education, Volume 27, Issue 1, 30 May.

The Problem of the Paradoxes came to the fore in philosophy and mathematics with the discovery of Russell's Paradox in 1901. It is the "forgotten" intellectual-scientific problem of the Twentieth Century, because for more than sixty years a pretence was maintained, by a consensus of logicians, that the problem had been "solved".

In the first paper of this series the author outlined ‘the showdown phenomenon’: a live sequence of events of two distinct kinds, ‘red’ and ‘green’, which was experienced by the would-be predictor as absolutely and irreducibly unpredictable, because the predictor invariably got his or her predictions wrong. he argued that the showdown phenomenon is an epistemological landmark, because it establishes a clearly conceptualized, tangible, localized ‘limit of knowledge’.) At the end of the original paper the author remarked that if we (...) actually experienced suchabsolute, relentless unpredictability, we would infer the existence of another ‘out there’ doing this to us... In the current paper he returns to this ontological aspect of the new Cogito and fills out some of the thinking which lies behind it. (shrink)

The first paper of this series outlined ‘the showdown phenomenon’: a live sequence of events of two distinct kinds, ‘red’ and ‘green’, which was experienced by the would-be predictor as absolutely and irreducibly unpredictable, because the predictor invariably got his or her predictions wrong. We can clearly and distinctly imagine this happening: so a perverse-random experience of this sort is evidently ‘logically possible’. This raises the question of the relation of the new sequences to ordinary ‘random’ sequences. In this paper (...) an account is developed of the relationship of ‘perverse-randomness’ to ‘randomness’. Such an account may assist us in achieving a new, firmer conceptualization of ordinary probability, and hence in making sense of this notoriously elusive idea. (shrink)

A quotation from Russell concedes that the immensity of real numbers implied by the usual account of the continuum cannot mainly consist of ‘those whose digits procede according to some rule’. Russell concludes that the main body of real numbers ‘must be’ of the ‘lawless’ variety. The author scrutinises these so-called ‘lawless decimals’ and concludes that they are mythical. It follows that the totality of well-defined real numbers cannot be more than a countable whole. It is however clearly uncountable. An (...) explanation is offered using the ‘greater lexicographic sequence’. (shrink)

In a recent article, Christopher Ormell argues against the traditional mathematical view that the real numbers form an uncountably infinite set. He rejects the conclusion of Cantor’s diagonal argument for the higher, non-denumerable infinity of the real numbers. He does so on the basis that the classical conception of a real number is mys- terious, ineffable, and epistemically suspect. Instead, he urges that mathematics should admit only ‘well-defined’ real numbers as proper objects of study. In practice, this means (...) excluding as inadmissible all those real numbers whose decimal expansions cannot be calculated in as much detail as one would like by some rule. We argue against Ormell that the classical realist account of the continuum has explanatory power in mathematics and should be accepted, much in the same way that "dark matter" is posited by physicists to explain observations in cosmology. In effect, the indefinable real numbers are like the "dark matter" of real analysis. (shrink)

This paper argues that we should replace the common classification of theories of welfare into the categories of hedonism, desire theories, and objective list theories. The tripartite classification is objectionable because it is unduly narrow and it is confusing: it excludes theories of welfare that are worthy of discussion, and it obscures important distinctions. In its place, the paper proposes two independent classifications corresponding to a distinction emphasised by Roger Crisp: a four-category classification of enumerative theories (about which items constitute (...) welfare), and a four-category classification of explanatory theories (about why these items constitute welfare). (shrink)

This chapter surveys hybrid theories of well-being. It also discusses some criticisms, and suggests some new directions that philosophical discussion of hybrid theories might take.

Are we witnessing progress or regress in the recent increasing popularity and electoral success of populist politicians and parties in consolidated democratic nations? ... Is the innovative use of popular referendum in Great Britain to settle fundamental constitutional questions a progressive or regressive innovation? ... Similarly, is the increasing use of constituent assemblies to change constitutions across the world evidence of progress in democratic constitutionalism, or, a worryingly regressive change back toward unmediated popular majoritarianism? ... This paper reflects on some (...) of the perils and promise of framing such questions with the conceptual couplet of progress and regress. It considers four compelling critiques of the use of ‘progress’ and its cognates in sociopolitical theory, as well as arguing that such concepts are nevertheless ineliminable for our normative theories. The paper concludes by suggesting that we can avoid the most serious problems by employing only conceptions of political progress and regress that are piecemeal, pragmatic, and processual. (shrink)

Group-based reasons are reasons to play one’s part in some pattern of action that the members of some group could perform, because of the good features of the pattern. This paper discusses three broad conceptions of such reasons. According to the agency-first conception, there are no group-based reasons in cases where the relevant group is not or would not be itself an agent. According to the behaviour-first conception, what matters is that the other members of the group would play their (...) parts in the relevant pattern, not whether they would have the cooperative intentional states constitutive of group agency in doing so. This paper argues against these conceptions and in favour of the powers-first conception, according to which what matters is that the members of the group have practically relevant powers. (shrink)

Difficult Atheism shows how contemporary French philosophy is rethinking the legacy of the death of God in ways that take the debate beyond the narrow confines of atheism into the much broader domain of post-theological thinking. Christopher Watkin argues that Alain Badiou, Jean-Luc Nancy and Quentin Meillassoux each elaborate a distinctive approach to the post-theological, but that each approach still struggles to do justice to the death of God.

Authentizitat ist ein in unserem kulturellen Raum allgegenwartiges Phanomen. Doch wem oder was begegnen wir, wenn wir meinen, uns selbst verwirklichen oder alternativ einfach uns selbst treu sein zu mussen? Christoph Wiesinger zeigt, dass wir auf ein Selbst geworfen werden, das zwar als homogener Nukleus der Person projiziert werden kann, sich aber bei genauerem Hinsehen als komplexe sozial verinnerlichte Struktur entpuppt. Das Selbst ist keineswegs objektiv zu fassen, sondern unterliegt sozialen Genesen und wird durch soziale Adressierung unterschiedlich formiert. Das Ereignis (...) von Authentizitat gibt somit Anlass zur Reflexion der Differenz zwischen Erwartung und Erfahrung. Christoph Wiesinger legt die Strukturen des Phanomens der Authentizitat frei, zeigt die theologischen Implikationen auf und diskutiert die praktisch-theologischen Konsequenzen. (shrink)

This article proposes a way of understanding Kantianism, act-utilitarianism and some other important ethical theories according to which they are all versions of the same kind of theory, sharing a common structure. I argue that this is a profitable way to understand the theories discussed. It is charitable to the theories concerned; it emphasizes the common ground between them; it gives us insights into the differences between them; and it provides a method for generating new ethical theories worth studying. The (...) article briefly discusses the relationship between these ideas and some other recent proposals that emphasize the common ground between Kantianism and versions of consequentialism. (shrink)

Theorists of public reason such as John Rawls often idealize constitutional courts as exemplars of public reason. This paper raises questions about the seduction and limits of analogies between theorists’ account of public reason and actual constitutional jurisprudence. Examining the work product of the United States Supreme Court, the paper argues that while it does engage in reason-giving to support its decisions—as the public reason strategy suggests— those reasons are (largely) legalistic and specifically juristic reasons—not the theorists’ idealized moral-political reasons (...) on matters of fundamental principle. But if constitutional courts do not engage on matters of fundamental principle, then a public reason strategy for assuaging democratic worries about judicial review would no longer be open: prominent liberal and deliberative democratic theorists could no longer point to the alleged superiority of constitutional courts to speak in the name of, and for, the people’s shared political principles. The paper extends beyond the U.S. case study by pointing to three institutional factors explaining the disanalogy between what some constitutional courts do and what public reason theories require them to do. It concludes with considerations about whether the public reason strategy might be more successfully applied to international courts. (shrink)

Die Kernthese der Paracelsischen Naturphilosophie, die Ahnlichkeit von Mensch und Welt, festgelegt in der Analogie von Mikro- und Makrokosmos, enthullt einen -Code-, der als konstitutives Moment samtliche Aussagen auf einer prakonzeptionellen Ebene organisiert, samtliche Teilbereiche in ihrer funktionalen Bedeutung fur das -Ganze- markiert und schliesslich im Sinne Foucaults zu einer -diskursiven Formation- werden lasst. Die auf diese Weise vorgefuhrte Erfahrungsform von Welt und Natur steht zu dem neuzeitlich-technischen Verfugungswissen in einer historischen Diskontinuitat.".

One recently popular strategy for avoiding the moral error theory is via a ‘companions in guilt’ argument. I focus on those recently popular arguments that take epistemic facts as a companion in guilt for moral facts. I claim that there is an internal tension between the two main premises of these arguments. It is a consequence of this that either the soundness or the dialectical force of the companions in guilt argument is undermined. I defend this claim via (i) analogy (...) with philosophical debates concerning the indispensability of mathematical objects to natural science, and (ii) discussion of the ‘entanglement’ of epistemic concepts and moral concepts in deliberation. I conclude by proposing a positive view of what kind of argument must be used if moral error theories are to be successfully undermined. (shrink)

Is it ever morally wrong to enjoy fantasizing about immoral things? Many video games allow players to commit numerous violent and immoral acts. But, should players worry about the morality of their virtual actions? A common argument is that games offer merely the virtual representation of violence. No one is actually harmed by committing a violent act in a game. So, it cannot be morally wrong to perform such acts. While this is an intuitive argument, it does not resolve the (...) issue. -/- Focusing on why individual players are motivated to entertain immoral and violent fantasies, Video Games, Violence, and the Ethics of Fantasy advances debates about the ethical criticism of art, not only by shining light on the interesting and under-examined case of virtual fantasies, but also by its novel application of a virtue ethical account. Video games are works of fiction that enable players to entertain a fantasy. So, a full understanding of the ethical criticism of video games must focus attention on why individual players are motivated to entertain immoral and violent fantasies. -/- Video Games, Violence, and the Ethics of Fantasy engages with debates and critical discussions of games in both the popular media and recent work in philosophy, psychology, media studies, and game studies. (shrink)

C P Ormell; Ideology and the Reform of School Mathematics, Journal of Philosophy of Education, Volume 3, Issue 1, 30 May 2006, Pages 37–54, https://doi.org/10.1.

Basing his view on the object relations theories of the "British School" of psychoanalysis, Christopher Bollas examines the human subject's memories of its earliest experiences (during infancy and childhood) of the object, whether it be mother, father, or self. He explains in well-written and non-technical language how the object can affect the child, or "cast in shadow," without the child being able to process this relation through mental representations of language.

In this article Cristoph Wulf examines the basic concepts of pedagogy and educational science in the German-speaking world, looking at education and socialization from the perspective of educational anthropology. He makes evident that the complex German concept of Bildung, in particular, can only be fully understood by means of a historical and philosophical analysis.

Introduction Quine was born in. He studied as a graduate student at Harvard, and apart from short visits to Oxford, Paris and other centres of learning, ...

This paper connects two ideas. The first is that some common responses to ethical views are responses to their degrees of pragmatism, where a view’s degree of pragmatism is its sensitivity to ethically relevant changes in the actor’s circumstances. I claim that we feel the pull of opposing pro-pragmatic and antipragmatic intuitions in certain cases. This suggests a project, of searching for an ethical view capable of doing justice to these opposing intuitions in some way. The second central idea is (...) that a theory of pattern-based reasons looks more promising than the obvious alternatives to fulfil this role, amongst Teleological theories at least. Pattern-based reasons are reasons to perform some action because of the goodness or rightness of a larger pattern of action—such as a pattern that a group could perform or that the actor could perform over an extended period—of which the immediate action is a mere part. Existing theories of such reasons share two features that prevent them explaining the intuitions we wish to explain: they consider only one pattern at a time (they are monist), and they treat patterns as eligible only if the agents concerned are willing to realise them (they accept the Willingness Requirement). But we need not accept these doctrines. Moreover, a theory of patternbased reasons without them is able to explain the pro- and anti-pragmatic intuitions in an elegant way, and has other attractive features. (shrink)

Consider the view that coming into existence is bad for us. Can we hold this and yet deny that ceasing to exist would be good for us? I argue that we can. First, many animals have lives such that they would be better off not existing. Second, if persons and babies are distinct things then the same is true of babies. Third, even if persons and babies are not distinct things – rather they are phases that human beings go through (...) – still it is bad for babies that they come into existence. So it was bad for us to come into existence. But most of us now enjoy worthwhile lives. So it would be bad for us, now, to cease to exist. (shrink)

One of the most important elements of Hegel’s philosophical anthropology is his moral psychology. In particular, his understanding of the relation between motivations and reason plays a crucial intermediate role in connecting his anthropological meditations on the complete nature of the human being with his political theory of actualized freedom. Whereas recent important work on Hegel’s moral psychology has detected a Kantian distinction between natural desires and the rational perspective, the activity of practical reason actually takes place within motivations themselves (...) on Hegel’s view. The exercise of the free, rational will is best understood in terms of its role in shaping the experience of malleable, indeterminate motivations. Rather than stepping back, the free agent on Hegel’s account delves further into the motivation, acting on it in the dual sense of being guided by and transforming it. This is what it means for Hegel to conceive of agency as self-expression while maintaining the centrality of reason for Free Will. Hegel says that when we go further into the motivations in this way, we should stop speaking of motivation in terms of drives and instead begin speaking of character. (shrink)

Here, for the first time, Christopher Kul-Want brings together twenty-five texts on art written by twenty philosophers. Covering the Enlightenment to postmodernism, these essays draw on Continental philosophy and aesthetics, the Marxist intellectual tradition, and psychoanalytic theory, and each is accompanied by an overview and interpretation. The volume features Martin Heidegger on Van Gogh's shoes and the meaning of the Greek temple; Georges Bataille on Salvador Dal’'s The Lugubrious Game; Theodor W. Adorno on capitalism and collage; Walter Benjamin and (...) Roland Barthes on the uncanny nature of photography; Sigmund Freud on Leonardo Da Vinci and his interpreters; Jacques Lacan and Julia Kristeva on the paintings of Holbein; Freud's postmodern critic, Gilles Deleuze on the visceral paintings of Francis Bacon; and Giorgio Agamben on the twin traditions of the Duchampian ready-made and Pop Art. Kul-Want elucidates these texts with essays on aesthetics, from Hegel and Nietzsche to Badiou and Rancire, demonstrating how philosophy adopted a new orientation toward aesthetic experience and subjectivity in the wake of Kant's powerful legacy. (shrink)

The idea of the ‘executive technician’ or the teacher who follows theoretically prescribed rules is outlined. Through a discussion of the ideas of Oakeshott the idea of a rule‐following rigid practitioner of prescribed protocols is developed. The advantages of this conception of teaching as well as its disadvantages are outlined. Some practical applications of the executive technician conception of the teacher in both developed and developing countries are presented.

This chapter will outline a third conception of the role of the teacher, the professional technician or professional for short. The professional teacher is one who most corresponds to the description of professional occupations described in the literature already discussed. The professional described in this chapter will be an ideal type, whose attributes will be found to a greater or lesser degree in actual teachers around the world. Should this be a preferred model of what a teacher should be? The (...) answer depends on what kind of education system a society wants and the degree to which it is prepared to invest in such a kind of education system. (shrink)

It was not so long ago that the dominant picture of Kant’s practical philosophy was formalistic, focusing almost exclusively on his Groundwork of the Metaphysics of Morals and Critique of Practical Reason. However, the overall picture of Kant’s wide-ranging philosophy has since been broadened and deepened. We now have a much more complete understanding of the range of Kant’s practical interests and of his contributions to areas as diverse as anthropology, pedagogy, and legal theory. What remains somewhat obscure, however, is (...) how these different contributions hang together in the way that Kant suggests that they must. This book explores these different conceptions of humanity, morality, and legality in Kant as main ‘manifestations’ or ‘dimensions’ of practical normativity. These interrelated terms play a crucial role in highlighting different rational obligations, their source, and their applicability in the face of changing circumstances. (shrink)

What makes philosophy on the continent of Europe so different and exciting? And why does it have such a reputation for being 'difficult'? Continental philosophy was initiated amid the revolutionary ferment of the 18th century, philosophers such as Kant and Hegel confronting the extremism of the time with theories that challenged the very formation of individual and social consciousness. Covering the great philosophers of the modern and postmodern eras – from Nietzsche, Heidegger, Derrida and Deleuze right to up Agamben and (...) Žižek – and philosophical movements from German idealism to deconstruction and feminism – Christopher Kul-Want and Piero brilliantly elucidate some of the most thrilling and powerful ideas ever to have been discussed. (shrink)

This chapter examines Karl Jaspers’s influential distinction between understanding and explaining, and its significance in psychiatry. It first outlines one way of interpreting the distinction, on which it is connected to the distinction between singular and general causal claims. It then discusses one reason for thinking that understanding has an essential role to play in psychiatry: Not achieving at least some level of understanding in the context of dealing with psychiatric patients would constitute a particular kind of epistemic failure—a failure (...) to recognize their illness for the particular type of illness it is. Drawing on some ideas recently put forward by Kenneth Kendler and John Campbell, it also illustrates the particular kind of understanding that is crucial in this context. (shrink)

Details the role that giants have played in the history of humankind. _...style is breezy and accessible...a pleasant browse._ --BOOKLIST.