Hyperfunctions and (analytic) hypoellipticity

In this work we discuss the problem of smooth and analytic regularity for hyperfunction solutions to linear partial differential equations with analytic coefficients. In particular we show that some well known ""sum of squares"" operators, which satisfy Hormander`s condition and consequently are hypoelliptic, admit hyperfunction solutions that are not smooth (in particular they are not distributions).

Dissonant Voices : Philosophy, Children's Literature, and Perfectionist Education

Dissonant Voices has a twofold aspiration. First, it is a philosophical treatment of everyday pedagogical interactions between children and their elders, between teachers and pupils. More specifically it is an exploration of the possibilities to go on with dissonant voices that interrupt established practices – our attunement – in behaviour, practice and thinking. Voices that are incomprehensible or expressions that are unacceptable, morally or otherwise. The text works on a tension between two inclinations: an inclination to wave off, discourage, or change an expression that is unacceptable or unintelligible; and an inclination to be tolerant and accept the dissonant expression as doing something worthwhile, but different. The second aspiration is a philosophical engagement with children’s literature. Reading children’s literature becomes a form of philosophising, a way to explore the complexity of a range of philosophical issues. This turn to literature marks a dissatisfaction with what philosophy can accomplish through argumentation and what philosophy can do with a particular and limited set of concepts for a subject, such as ethics. It is a way to go beyond philosophising as the founding of theories that justify particular responses. The philosophy of dissonance and children’s literature becomes a way to destabilise justifications of our established practices and ways of interacting. The philosophical investigations of dissonance are meant to make manifest the possibilities and risks of engaging in interactions beyond established agreement or attunements. Thinking of the dissonant voice as an expression beyond established practices calls for improvisation. Such improvisations become a perfectionist education where both the child and the elder, the teacher and the student, search for as yet unattained forms of interaction and take responsibility for every word and action of the interaction. The investigation goes through a number of picture books and novels for children such as Harry Potter, Garmann’s Summer, and books by Shaun Tan, Astrid Lindgren and Dr. Seuss as well narratives by J.R.R. Tolkien, Henrik Ibsen, Jane Austen and Henry David Thoreau. These works of fiction are read in conversation with philosophical works of, and inspired by, Ludwig Wittgenstein and Stanley Cavell, their moral perfectionism and ordinary language philosophy.

Perfectionist Philosophy as a (an Untaken) Way of Life

I am honored to respond to Paul Guyer’s elaboration on the role of examples of perfectionism in Cavell’s and Kant’s philosophies. Guyer’s appeal to Kant’s notion of freedom opens the way for suggestive readings of Cavell’s work on moral perfectionism but also, as I will show, for controversy. There are salient aspects of both Kant’s and Cavell’s philosophy that are crucial to understanding perfectionism and, let me call it, perfectionist education, that I wish to emphasize in response to Guyer. In responding to Guyer’s text, I shall do three things. First, I shall explain why I think it is misleading to speak of Cavell’s view that moral perfectionism is involved in a struggle to make oneself intelligible to oneself and others in terms of necessary and sufficient conditions for moral perfection. Rather, I will suggest that the constant work on oneself that is at the core of Cavell’s moral perfectionism is a constant work for intelligibility. Second, I shall recall a feature of Cavell’s perfectionism that Guyer does not explicitly speak of: the idea that perfectionism is a theme, “outlook or dimension of thought embodied and developed in a set of texts.” Or, as Cavell goes on to say, “there is a place in mind where good books are in conversation. … [W]hat they often talk about … is how they can be, or sound, so much better than the people that compose them.” This involves what I would call a perfectionist conception of the history of philosophy and the kinds of texts we take to belong to such history. Third, I shall sketch out how the struggle for intelligibility and a perfectionist view of engagement with texts and philosophy can lead to a view of philosophy as a form of education in itself. In concluding these three “criticisms,” I reach a position that I think is quite close to Guyer’s, but with a slightly shifted emphasis on what it means to read Kant and Cavell from a perfectionist point of view.

'In Charge of the Truffula Seeds' : On Children's Literature, Rationality and Children's Voices in Philosophy

In this paper I investigate how philosophy can speak for children and how children can have a voice in philosophy and speak for philosophy. I argue that we should understand children as responsible rational individuals who are involved in their own philosophical inquiries and who can be involved in our own philosophical investigations-not because of their rational abilities, but because we acknowledge them as conversational partners, acknowledge their reasons as reasons, and speak for them as well as let them speak for us and our rational community. In order to argue this I turn, first, to Gareth Matthews' philosophy of childhood and suggest a reconstruction of some of his concepts in line with the philosophy of Stanley Cavell. Second, in order to examine more closely our conceptions of rationality and our pictures of children, I consider the children's books, The Lorax and Where is My Sister? and Henrik Ibsen's play, The Wild Duck.

The Philosophy of Dissonant Children : Stanley Cavell's Wittgensteinian Philosophical Therapies as an Educational Conversation

Education is often understood as a process whereby children come to conform to the norms teachers believe should govern our practices. This picture problematically presumes that educators know in advance what it means for children to go on the way that is expected of them. In this essay Viktor Johansson suggests a revision of education, through the philosophy of Stanley Cavell, that can account for both the attunement in our practices and the possible dissonance that follows when the teacher and child do not go on together. There is an anxiety generated by the threat of disharmony in our educational undertakings that may drive teachers toward philosophy in educational contexts. Here Johansson offers a philosophical treatment of this intellectual anxiety that teachers may experience when they, upon meeting dissonant children, search for epistemic justifications of their practices—a treatment whereby dissonant children can support teachers in dissolving their intellectual frustrations.

Unions and productivity growth: a meta-analytic review

The impact of unions on productivity growth has received extensive
attention from researchers in industrial relations and economics. Despite
a voluminous literature, controversy continues regarding the effect of unions on productivity growth. In this paper, meta-analysis and metaregression
analysis is used to quantify the association between unions and productivity growth and to accomplish a quantitative assessment of the empirical literature. The results indicate that the overall association between unions and productivity growth is negative, especially for the U.S. The search for moderator variables revealed that most of the variation in the published results is artificial and can be attributed to specification differences.

Location dependency and sport sponsors : a factor analytic study

Theories explaining the mechanics of sport sponsorship relationships arc underdeveloped (Gilbert, 1 988; Hock, Gendall, & West, 1990; Pope, 1 998), bolstered by studies lacking systematic methods (Kuzma, Shanklin, & McCall, 1993) and tending toward broad, descriptive, macro-level analysis (Sandler & Shani, 1993). This paper attempts to redress this empirical chasm in a small way by examining an element of the sponsorship relationship. Specifically this paper explores the importance of one particular mode of sponsorship delivery: the location of a venue containing sponsor affiliations or what has been named location dependency. Location dependency of sport sponsors has been shown to be a pivotal determinant when devising sponsorship proposals or when assessing the attractiveness of a sponsorship opportunity (Wester- beek, 2000). Factor analysis was used to determine if sponsors' response patterns would deliver a number of constructs that could be related to the concept of location dependency. Factor analysis revealed five factors that principally reinforced the notion of location dependency of sponsorship. T-tests delivered significant differences between location dependent and location independent sponsors on some of the factors. The results of this study suggest that appreciating the concept of location dependency may assist companies in the effective discharge of their sponsorship decisions.

Plato's legacy : How to do philosophy

Although it has its origins earlier, philosophy as we know it in the West took its shape from the Socrates of Plato's Dialogues. It is not implausible to regard the Dialogues as heuristic devices designed for engaging in philosophical inquiry. As such, they would model the process of philosophical inquiry as well as illustrate the common pitfalls or errors to avoid when engaging in such inquiry. So it will not be surprising to see Socrates, the character of the Dialogues, modeling questionable, even poor, inquiry techniques as well as good; admonishing other characters for poor technique and reminding them of lessons they should have learned earlier in their tuition. Plato presumably would expect students reading and role-playing a Dialogue to recognise when and where such instances occur. It is instructive then to take a close look at one of the longer dialogues featuring Socrates engaging in such inquiry, not with an untutored interlocutor, but with a professional, the sophist Protagoras, in order to identify the features of the inquiry itself. For this will reveal something of what Plato conceived to be the activity of philosophy to which we are the heirs. The Protagoras can be read as an illustration (not a definition) of how to do philosophy. And to aid this reading, I propose to focus on the logical form of the inquiry, the moves made by the characters and the techniques displayed, rather than the adequacy of the substantive arguments they mount.

What is the subaltern of the comparative philosophy of religion?

It is claimed that Comparative Philosophy of Religion (CPR) mistakenly builds on the dogmas of comparative religion (or history of religions) and philosophy of religion. Thus, the belief that there are things common and therefore comparable between two or more traditions and that these objects of comparison are of philosophical or theological significance are questions that continue to trouble the field. Just what does one compare, how does one choose what to compare or why, through what methodological and epistemic tools, and who is it that carries out the tasks? But what has remained unasked and unanalyzed are the larger meta-questions concerning the motivation, civilizational presuppositions, cultural parochialism, or legacies of orientalism, modernity, and (post-)colonialism that together affect the boundedness of certain key categories and thematic issues in the comparative enterprise such as God or the Transcendent, Creation, the Problem of Evil, the Afterlife, Sin, Redemption, Purpose, and the End. Is difference with respect to alterity and altarity permissible? If so, what a postcolonial, differently gendered, cross-cultural critique would look like and what is left of CPR are two such questions explored here.