Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested (...) in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body. (shrink)

Gert Biesta; How General Can Bildung Be? Reflections on the Future of a Modern Educational Ideal, Journal of Philosophy of Education, Volume 36, Issue 3, 16 Dec.

Prologue: on the weakness of education -- Creativity -- Communication -- Teaching -- Learning -- Emancipation -- Democracy -- Virtuosity -- Epilogue: for a pedagogy of the event -- Appendix: coming into the world, uniqueness, and the beautiful risk of education: an interview with Gert Biesta by Philip Winter.

In many places around the world the modern school is under a relentless pressure to perform and the standards for such performance are increasingly being set by the global education measurement industry. All this puts a pressure on schools, teachers and students but also on policy makers and politicians, who all seem to have been caught up in a global educational rat-race. There is a discourse of panic about educational quality, which seems to drive an insatiable need for improvement, geared (...) towards ever narrower definitions of what counts as education and what counts in education. The surprising result is that the modern school is increasingly seen as a problem, with high levels of dissatisfaction amongst teachers, students, politicians, the media and the public at large, who all want something better from the school, although they disagree about what this may look like. The question this raises is whether it is time to give up on the modern schools and its promise and hand it over to Pearson, Google and other educational capitalists, or whether we should try again and, if so, where we might go. The reflections I offer in this paper are primarily meant to think again about the relationship between the school and society, arguing for a more ‘obstinate’ school and a more ‘patient’ society. I argue that whether such a recalibration of the relationship between school and society is possible, is ultimately a test of the democratic quality of society itself. (shrink)

In contemporary societies, there is a strong push toward seeing education as an instrument for the delivery of particular societal agendas. On such a view, the only questions that remain are how effective education is at delivering such agendas and how its effectiveness can be increased. While this might be a desirable way forward for those who believe that a consensus about the agenda for education can easily be achieved, it is at odds with the idea that a democratic society (...) is characterized by a fundamental plurality of visions about what schools are supposed to be for. Yet the democratic critique of educational instrumentalism cannot be confined to giving each and every vision its own school, as this would simply multiply educational instrumentalism rather than oppose it. A true democratic response thus needs to take education's own interest seriously as well, which, as Gert Biesta argues in this paper, amounts to a defense of the school as institution. (shrink)

Adverbialism is the view that to have a conscious perceptual experience is to be consciously experiencing in a certain way, and that this way is not to be understood in relational or representational terms. We might compare what it is for a conscious being to be experiencing in a certain way with what it is for a string to be vibrating in a certain way. This paper makes a new case for adverbialism by appealing to the fact that we can (...) pick out ways of experiencing by treating them as information-bearing signals. In both presenting and defending the view, it will be crucial that information is not the same as representational content, but can still concern objects and the properties of those objects. The resulting information-theoretic adverbialism can answer or deflect the most influential objections to adverbialism. (shrink)

In this paper I argue that there is a need to reconnect with the question of purpose in education, particularly in the light of a recent tendency to focus discussions about education almost exclusively on the measurement and comparison of educational outcomes. I first discuss why the question of purpose should always have a place in our educational discussion. I then explore some reasons why this question seems to have disappeared from the educational agenda. The central part of the paper (...) is a proposal for addressing the question of purpose in education—the question as to what constitutes good education—in a systematic manner. I argue that the question of purpose is a composite question and that in deliberating about the purpose of education we should make a distinction between three functions of education to which I refer as qualification, socialisation and subjectification. In the final section of the paper I provide examples of how this proposal can help in asking more precise questions about the purpose and direction of educational processes and practices. (shrink)

A closer look at the lived illness experiences of medical professionals themselves shows that shared decision making is in need of a logic of care. This paper underlines that medical decision making inevitably takes place in a messy and uncertain context in which sharing responsibilities may impose a considerable burden on patients. A better understanding of patients’ lived experiences enables healthcare professionals to attune to what individual patients deem important in their lives. This will contribute to making medical decisions in (...) a good and caring manner, taking into account the lived experience of being ill. (shrink)

_Obstinate Education: Reconnecting School and Society_ argues that education is not just there to give individuals, groups and societies what they want from it, but that education has a duty to resist.

In 1926, Ernst Mally proposed a number of deontic postulates. He added them as axioms to classical propositional logic. The resulting system was unsatisfactory because it had the consequence that A is the case if and only if it is obligatory that A. We present an intuitionistic reformulation of Mally’s deontic logic. We show that this system does not provide the just-mentioned objectionable theorem while most of the theorems that Mally considered acceptable are still derivable. The resulting system is unacceptable (...) as a deontic logic, but it does make sense as a lax logic in the modern sense of the word. (shrink)

_Religion and Education: The Forgotten Dimensions of Religious Education?_ explores fundamental questions about the role of religion and education in contemporary religious education. Drawing from a range of educational and religious traditions and perspectives, it investigates the future of religious education for all.

Plagiarism is a major problem for research. There are, however, divergent views on how to define plagiarism and on what makes plagiarism reprehensible. In this paper we explicate the concept of “plagiarism” and discuss plagiarism normatively in relation to research. We suggest that plagiarism should be understood as “someone using someone else’s intellectual product, thereby implying that it is their own” and argue that this is an adequate and fruitful definition. We discuss a number of circumstances that make plagiarism more (...) or less grave and the plagiariser more or less blameworthy. As a result of our normative analysis, we suggest that what makes plagiarism reprehensible as such is that it distorts scientific credit. In addition, intentional plagiarism involves dishonesty. There are, furthermore, a number of potentially negative consequences of plagiarism. (shrink)

1. Questions about the quality of education are at the forefront of discussions amongst politicians, policy makers, parents, teachers, students, the media and the wider public in almost all countri...

In this paper I explore the relationship between teaching and learning. Whereas particularly in the English language the relationship between teaching and learning has become so intimate that it often looks as if ‘teaching and learning’ has become one word, I not only argue for the importance of keeping teaching and learning apart from each other, but also provide a number of arguments for suggesting that learning may not be the one and only option for teaching to aim for. I (...) explore this idea through a discussion of the relationship between teaching and learning, both at a conceptual and at an existential level. I discuss the limitations of the language of learning as an educational language, point at the political work that is being done through the language of learning, and raise epistemological and existential questions about the identity of the learner, particularly with regard to the question what it means to be in and with the world in terms of learning as comprehension and sense making. Through this I seek to suggest that learning is only one possible aim for teaching and that the learner identity and the learning way of engaging with the world puts the learner in a very specific position vis-à-vis the world, one where the learner remains in the centre and the world appears as object for the learner’s acts of learning. That it is possible to teach without requesting from students that they learn, comprehend and make sense, is demonstrated through a brief account of a course in which students were explicitly asked to refrain from learning and were instead asked to adopt a concept. I show how this request opened up very different existential possibilities for the students and argue that if we value such existential possibilities, there may be good reasons for freeing teaching from learning. (shrink)

In this essay Gert Biesta asks what the humanities can contribute to the field of teacher education. In addressing this question he turns to the idea of education as a Geisteswissenschaft as it was developed in the German-speaking context in the first decades of the twentieth century. In this conception, education is configured as an interested academic discipline that engages with normative questions concerning the telos of education and does so with a focus on meaningful human action rather than (...) human behavior. Viewing education this way highlights the role of value judgments in teaching. The values that are at stake in such judgments, Biesta argues, are not to be understood as moral values but as educational values, a view that raises some important questions about the specific nature of educational normativity. In a final step Biesta discusses how the idea of education as a Geisteswissenschaft makes a difference for the field of teacher education. (shrink)

In this article, I explore the impact of the contemporary culture of measurement on education as a professional field. I focus particularly on the democratic dimensions of professionalism, which includes both the democratic qualities of professional action in education itself and the way in which education, as a profession, supports the wider democratic cause. I show how an initial authoritarian conception of professionalism was opened up in the 1960s and 1970s towards more democratic and more inclusive forms of professional action. (...) I then show how, in the wake of the transformation of the welfare state and the rise of neo-liberal forms of governing, the democratic dimension of professionalism became distorted. I discuss three distortions: having to do with the position of clients, the nature of accountability and the status of professional knowledge. While at first sight, the developments in each of these areas can be seen as furthering the democratisation of the professions, I argue that in fact they have eroded the democratic dimension of the professions and show the contribution of the culture of measurement to this erosion process. In the final step of my argument, I suggest how a more democratic mode of professional action might be regained and how such a mode of professional action might contribute to wider processes of democratisation. (shrink)

Informed consent is central to modern research ethics. Informed consent procedures have mainly been justified in terms of respect for autonomy, the core idea being that it should be every competent individual’s right to decide for herself whether or not to participate in scientific studies. A number of conditions are normally raised with regard to morally valid informed consent. These include that potential research subjects get adequate information, understand those aspects that are relevant to them, and, based on that information, (...) make a voluntary decision whether or not to participate. These conditions are meant to guarantee that participation is genuinely the individual’s own choice and is coherent with his or her authentic interests. (shrink)

Among educational theorists and philosophers there is growing interest in the work of Jacques Derrida and his philosophy of deconstruction. This important new book demonstrates how his work provides a highly relevant perspective on the aims, content and nature of education in contemporary, multicultural societies.

When did the concept of model begin to be used in mathematics? This question appears at first somewhat surprising since “model” is such a standard term now in the discourse on mathematics and “modelling” such a standard activity that it seems to be well established since long. The paper shows that the term— in the intended epistemological meaning—emerged rather recently and tries to reveal in which mathematical contexts it became established. The paper discusses various layers of argumentations and reflections in (...) order to unravel and reach the pertinent kernel of the issue. The specific points of this paper are the difference in the epistemological concept to the usually discussed notions of model and the difference between conceptions implied in mathematical practices and their becoming conscious in proper reflections of mathematicians. (shrink)

Thomas Hobbes was the first great English political philosopher. His work excited intense controversy among his contemporaries and continues to do so in our own time. In this masterly introduction to his work, Bernard Gert provides the first account of Hobbes’s political and moral philosophy that makes it clear why he is regarded as one of the best philosophers of all time in both of these fields. In a succinct and engaging analysis the book illustrates that the commonly accepted (...) view of Hobbes as holding psychological egoism is not only incompatible with his account of human nature but is also incompatible with the moral and political theories that he puts forward. It also explains why Hobbes’s contemporaries did not accept his explicit claim to be providing a natural law account of morality. Gert shows that for Hobbes, civil society is established by a free-gift of their right of nature by the citizens; it does not involve a mutual contract between citizens and sovereign. As injustice involves breaking a contract, the sovereign cannot be unjust; however, the sovereign can be guilty of ingratitude, which is immoral. This distinction between injustice and immorality is part of a sophisticated and nuanced political theory that is in stark contrast to the reading often incorrectly attributed to Hobbes that “might makes right”. It illustrates how Hobbes’s goal of avoiding civil war provides the key to understanding his moral and political philosophy. _Hobbes: Prince of Peace_ is likely to become the classic introduction to the work of Thomas Hobbes and will be a valuable resource for scholars and students seeking to understand the importance and relevance of his work today. (shrink)

In this article, I seek to reclaim a place for teaching in face of the contemporary critique of so-called traditional teaching. While I agree with this critique to the extent to which it is levelled at an authoritarian conception of teaching as control, a conception in which the student can only exist as an object of the interventions of the teacher and never as a subject in its own right, I argue that the popular alternative to traditional teaching, that is (...) to make the teacher a facilitator of learning, is insufficient. The reason for this has to do with the fact that learning, understood as a process of interpretation and comprehension, ultimately also does not allow the student to exist as a subject. I provide support for this point through a reading of two articles by Emmanuel Levinas in which he puts forward the case that our subjectness is not generated through our own acts of signification, but is rather constituted from the outside, that is, through the address of the other. It is in this event, where a different conception of teaching emerges—one that, unlike authoritarian teaching and unlike self-generated adaptive learning, is precisely aimed at making the subjectness of the student possible. (shrink)

The second volume in Joel Feinberg's series The Moral Limits of the Criminal Law, Offense to Others focuses on the "offense principle," which maintains that preventing shock, disgust, or revulsion is always a morally relevant reason for legal prohibitions. Feinberg clarifies the concept of an "offended mental state" and further contrasts the concept of offense with harm. He also considers the law of nuisance as a model for statutes creating "morals offenses," showing its inadequacy as a model for understanding "profound (...) offenses," and discusses such issues as obscene words and social policy, pornography and the Constitution, and the differences between minor and profound offenses. (shrink)

In The Red and the Real, Jonathan Cohen defends a relationalist view of color: the view that colors are constituted by relations between objects, perceivers, and circumstances. Cohen’s defense of relationalism is often ingenious, but it also commits him to some extremely counterintuitive—one might say “crazy”—claims. The present paper argues that the phenomena that are captured by Cohen’s ingenious defense of his interesting view can be captured equally well by a more “boring” view. Such a view distinguishes between colors and (...) the ways that those colors appear to various viewers, takes colors to be relatively vague, and claims that other species with color vision simply see other colors. Since the boring view stays closer to common sense on many points, it is to be preferred. (shrink)

A reprint of the 1972 Doubleday edition. Contains the most helpful version of Hobbes's political and moral philosophy available in English. Includes the only English translation of De Homine, chapters X-XV. Features the English translation of De Cive attributed to Hobbes.

Deconstruction is often depicted as a method of critical analysis aimed at exposing unquestioned metaphysical assumptions and internal contradictions in philosophical and literary language. Starting from Derrida's contention that deconstruction is not a method and cannot be transformed into one, I make a case for a different attitude towards deconstruction, to which I refer as 'witnessing'. I argue that what needs to be witnessed is the occurrence of deconstruction and, more specifically, the occurrence of metaphysics-in-deconstruction. The point of witnessing metaphysics-in-deconstruction (...) is affirmative: it is an affirmation of what cannot be conceived in terms of the system and yet makes this system possible. To the extent to which education is concerned with the 'coming into presence' of new beginners and new beginnings, it shares an interest with deconstruction. Through a discussion of the role of communication in education I indicate how we might witness the occurrence of deconstruction in education. Through this we may be able to identify openings that can become potential entrances for the coming into presence of new beginnings and new beginners. Such an engagement with Derrida's work is more than the application of 'his' philosophy to the 'field' of education and therefore also has implications for how we think of the very idea of philosophy of education. (shrink)

I see someone who looks vaguely familiar. I wonder if he could be the same person I had a fight with on my birthday ten years ago. I hear that some scientist has received the Nobel prize in chemistry for some work very similar to that which interested the brightest boy in my chemistry class twenty years ago. I wonder if that scientist and the brightest boy might be the same person. What facts, if they could be discovered, would be (...) decisive in answering these questions? Are there any facts that, if it turns out that they do not obtain, would show conclusively that the two people are not the same person? That is, are there any necessary conditions for personal identity? Are there any facts that, if it turns out that they do obtain, would show conclusively that the two people are the same person? That is, are there any sufficient conditions for personal identity? (shrink)

This paper concerns the responsibility of co-authors in cases of scientific misconduct. Arguments in research integrity guidelines and in the bioethics literature concerning authorship responsibilities are discussed. It is argued that it is unreasonable to claim that for every case where a research paper is found to be fraudulent, each author is morally responsible for all aspects of that paper, or that one particular author has such a responsibility. It is further argued that it is more constructive to specify what (...) task responsibilities come with different roles in a project and describe what kinds of situations or events call for some kind of action, and what the appropriate actions might be. (shrink)

Proper procedures for informed consent are widely recognized as an ethical requirement for biomedical research involving human beings, in particular as a means to respect the autonomy and personal integrity of potential and actual research participants.

It is shown in this article that the Gospel of John describes a battle between darkness and light, life and death, chaos and God’s new order. Although the certainty is given right at the beginning of the Gospel that the darkness will not overcome the light, God does not take the possibility of darkness away. Darkness in John is darkness of the mind, not seeing the light, not comprehending, not accepting and not believing the Word. The battle between light and (...) darkness is described at two levels – the visible level that you can see with your eyes and the invisible level that only those who have been regenerated by the Spirit can see. Although it may seem that the contrary is true, God is in control of both levels. Jesus made the invisible visible with his words and deeds and, eventually, with his resurrection. The diakonoi of Jesus are called to follow him in his task to honour the father by speaking the words of the father and doing the work of the father. In doing this, they will make the invisible God visible by their diakonia. Real social change will take place in God’s time, and he will use the diakonia of his children to bring order in the chaos, like he did in the beginning when he created the heavens and the earth. The results of the research are used to suggest guidelines on social change in South Africa. (shrink)

In this essay, Gert Biesta provides a critical analysis of the idea of evidence‐based practice and the ways in which it has been promoted and implemented in the field of education, focusing on the tension between scientific and democratic control over educational practice and research. Biesta examines three key assumptions of evidence‐based education: first, the extent to which educational practice can be compared to the practice of medicine, the field in which evidence‐based practice was first developed; second, the role (...) of knowledge in professional actions, with special attention to what kind of epistemology is appropriate for professional practices that wish to be informed by the outcomes of research; and third, the expectations about the practical role of research implicit in the idea of evidence‐based education. Biesta concludes that evidence‐based practice provides a framework for understanding the role of research in educational practice that not only restricts the scope of decision making to questions about effectivity and effectiveness, but that also restricts the opportunities for participation in educational decision making. He argues that we must expand our views about the interrelations among research, policy, and practice to keep in view education as a thoroughly moral and political practice that requires continuous democratic contestation and deliberation. (shrink)