Este artigo parte de uma proposta terapêutica psicanalítica de cura pela fala e das premissas dos estudos a respeito de um performativo para conjurar referenciais e tecer considerações acerca do feitiço, tomando-o na sua dimensão de acontecimento singular e de natureza imprevisível. Esta discussão ocorrerá debruçada sobre os meios de um capitalismo e pautada a partir das ambivalências de uma ideia de fetiche. No ensejo desta discussão, são retomadas algumas colocações que elaboram sobre os interstícios entre magia e política para (...) indicar a importância de uma dimensão incapturável no fazer científico. (shrink)

In order to show how formal analogies between different physical systems play an important conceptual work in physics, this paper analyzes the evolution of Einstein’s thoughts on the structure of radiation from the point of view of the formal analogies he used as “lenses” to “see” through the “black box” of Planck’s blackbody radiation law. A comparison is also made with his 1925 paper on the quantum gas where he used the same formal methods. Changes of formal points of view (...) are most of the time taken for granted or passed over in silence in studies on the mathematization of physics as if they had no special significance. Revisiting Einstein’s classic papers on the nature of light and matter from the angle of the various theoretical tools he used, namely entropy and energy fluctuation calculations, helps explain why he was in a unique position to make visible the particle structure of radiation and the dual nature of light and matter. Finally, this case study calls attention to the more general question of the surprising creative power of formal analogies and their frequent use in theoretical physics. This aspect of intellectual creation can be useful in the teaching of physics. (shrink)

In a famous 1960 paper, Wigner discussed “The Unreasonable Effectiveness of Mathematics in the Natural Sciences.” I suggest that the effectiveness of mathematics in producing successful new theories and surprising discoveries is even more unreasonable than Wigner claimed. In this paper, I present several historical case studies to support the claim that mathematics is often responsible for instigating scientific revolutions. However, that does not mean that mathematics is always the key to the universe, and other cases where mathematization was not (...) successful are discussed in order to problematize a naïve Platonism. (shrink)

This paper examines physics and mathematics textbooks published in France at the end of the 1950s and at the beginning of the 1960s for children aged 11–15 years old. It argues that at this “middle school” level, textbooks contributed to shape cultural representations of both disciplines and their mutual boundaries through their contents and their material aspect. Further, this paper argues that far from presenting clearly delimited subjects, late 1950s textbooks offered possible connections between mathematics and physics. It highlights that (...) such connections depended upon the type of schools the textbooks aimed at, at a time when educational organization still differentiated pupils of this age. It thus stresses how the audience and its projected aptitudes and needs, as well as the cultural teaching traditions of the teachers in charge, were inseparable from the diverse conceptions of mathematics and physics and their relationships promoted through textbooks of the time. (shrink)

We study the interconnection between Physics and Mathematics in concrete instances, departing from the usual expression for the Coulomb electric field, produced by a point-like charge. It is scrutinized by means of six epistemology-intensive questions and radical answers are proposed, intended to widen one’s understanding of the subject. Our interventions act along two complementary directions. One of them regards ontology, since questions induce one to look closely at the electric charge, from different perspectives, promoting reflections about its nature and reinforcing (...) the corresponding concept. Formal manipulations rely on the identification of concepts with symbols, and the other direction concerns the spatial extension of mathematical structures. Our questions and their somewhat unusual answers help disclosing information which is not present in many textbooks, and show that Mathematics can be used as an efficient epistemological tool in Physics teaching. (shrink)

Media use can empower people, provided that this is accompanied by a deeper understanding of the actors, processes and structures in the media sector – including media policy. It is, however, to be expected that media users’ literacy of media policy is rather limited. This is problematic as the absence of such understanding makes it impossible for citizens to hold the politicians they elected accountable for the media policy they develop. This article explores what media users know about media policy, (...) what they expect to know, and whether they care. We adopted a case-study approach, researching this question for the region of Flanders based on a combination of quantitative (representative survey) and qualitative (49 in-depth interviews) data. While the article focuses on the case of Flanders, its theoretical basis as well as conclusion section are relevant beyond that specific context. (shrink)

The language of physics is mathematics, and physics ideas, laws and models describing phenomena are usually represented in mathematical form. Therefore, an understanding of how to navigate between phenomena and the models representing them in mathematical form is important for a physics teacher so that the teacher can make physics understandable to students. Here, the focus is on the “experimental mathematization,” how laws are established through quantifying experiments. A sequence from qualitative experiments to mathematical formulations through quantifying experiments on electric (...) current, voltage and resistance in pre-service physics teachers’ laboratory reports is examined. The way students reason and justify the mathematical formulation of the measurement results and how they combine the treatment and presentation of empirical data to their justifications is analyzed. The results show that pre-service physics teachers understand the basic idea of how quantifying experiments establish the quantities and laws but are not able to argue it in a justified manner. (shrink)

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we suggest that a fundamental issue has received insufficient exploration: the fact that in science, we don’t just use math, we make meaning with it in (...) a different way than mathematicians do. In this reflective essay, we explore math as a language and consider the language of math in physics through the lens of cognitive linguistics. We begin by offering a number of examples that show how the use of math in physics differs from the use of math as typically found in math classes. We then explore basic concepts in cognitive semantics to show how humans make meaning with language in general. The critical elements are the roles of embodied cognition and interpretation in context. Then, we show how a theoretical framework commonly used in physics education research, resources, is coherent with and extends the ideas of cognitive semantics by connecting embodiment to phenomenological primitives and contextual interpretation to the dynamics of meaning-making with conceptual resources, epistemological resources, and affect. We present these ideas with illustrative case studies of students working on physics problems with math and demonstrate the dynamical nature of student reasoning with math in physics. We conclude with some thoughts about the implications for instruction. (shrink)

This article discusses the role of mathematics during physics lessons in upper-secondary school. Mathematics is an inherent part of theoretical models in physics and makes powerful predictions of natural phenomena possible. Ability to use both theoretical models and mathematics is central in physics. This paper takes as a starting point that the relations made during physics lessons between the three entities Reality, Theoretical models and Mathematics are of the outmost importance. A framework has been developed to sustain analyses of the (...) communication during physics lessons. The study described in this article has explored the role of mathematics for physics teaching and learning in upper-secondary school during different kinds of physics lessons. Observations are from three physics classes led by one teacher. The developed analytical framework is described together with results from the analysis of the 7 lessons. The results show that there are some relations made by students and teacher between theoretical models and reality, but the bulk of the discussion in the classroom is concerning the relation between theoretical models and mathematics. The results reported on here indicate that this also holds true for all the investigated organizational forms lectures, problem solving in groups and labwork. (shrink)

In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (...) and heat conduction. The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit–reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science. (shrink)

The process of the mathematization of physical situations through differential calculus requires an understanding of the justification for and the meaning of the differential in the context of physics. In this work, four different conceptions about the differential in physics are identified and assessed according to their utility for the mathematization process. We also present an empirical study to probe the conceptions about the differential that are used by students in physics, as well students’ perceptions of how they are expected (...) to use differential calculus in physics. The results support the claim that students have a quasi-exclusive conception of the differential as an infinitesimal increment and that they perceive that their teachers only expect them to use differential calculus in an algorithmic way, without a sound understanding of what are they doing and why. These results are related to the lack of attention paid by conventional physics teaching to the mathematization process. Finally, some proposals for action are put forward. (shrink)

For more than a century the notion of a pre-established harmony between the mathematical and physical sciences has played an important role not only in the rhetoric of mathematicians and theoretical physicists, but also as a doctrine guiding much of their research. Strongly mathematized branches of physics, such as the vortex theory of atoms popular in Victorian Britain, were not unknown in the nineteenth century, but it was only in the environment of fin-de-siècle Germany that the idea of a pre-established (...) harmony really took off and became part of the mathematicians’ ideology. Important historical figures were in this respect David Hilbert, Hermann Minkowski and, somewhat later, Albert Einstein. Roughly similar ideas can be found also among British theorists, among whom Arthur Eddington, Arthur Milne, and Paul Dirac are singled out. Although largely limited to the period 1870–1940, the paper also considers Max Tegmark’s recent hypothesis of the universe being a one-to-one reflection of mathematical structures. (shrink)

In physics education, equations are commonly seen as calculation tools to solve problems or as concise descriptions of experimental regularities. In physical science, however, equations often play a much more important role associated with the formulation of theories to provide explanations for physical phenomena. In order to overcome this inconsistency, one crucial step is to improve physics teacher education. In this work, we describe the structure of a course that was given to physics teacher students at the end of their (...) master’s degree in two European universities. The course had two main goals: To investigate the complex interplay between physics and mathematics from a historical and philosophical perspective and To expand students’ repertoire of explanations regarding possible ways to derive certain school-relevant equations. A qualitative analysis on a case study basis was conducted to investigate the learning outcomes of the course. Here, we focus on the comparative analysis of two students who had considerably different views of the math-physics interplay in the beginning of the course. Our general results point to important changes on some of the students’ views on the role of mathematics in physics, an increase in the participants’ awareness of the difficulties faced by learners to understand physics equations and a broadening in the students’ repertoire to answer “Why?” questions formulated to equations. Based on this analysis, further implications for physics teacher education are derived. (shrink)

ABSTRACT:This paper explores how corporations, through their Corporate Social Responsibility (CSR) activities, can help to effect positive developmental change. We use research on institutional change, deinstitutionalization, and institutional work to develop our central theoretical framework. This framework allows us to suggest more explicitly how CSR can potentially be mobilized as a purposive form of institutional work aimed at disrupting existing institutions in favor of positive change. We take the gender institution in the Arab Middle East as a case in point. (...) Our suggestion is that the current context of the Arab Spring, which combined with increasingly obvious endogenous institutional contradictions, has created a fertile ground for shaping change processes within the gender institution. Finally, we provide concrete examples of CSR initiatives that regional corporate actors can engage in for positive developmental change supporting women. (shrink)

Offering an innovative approach to critical thinking, Good Reasoning Matters! identifies the essential structure of good arguments in a variety of contexts and also provides guidelines to help students construct their own effective arguments. In addition to examining the most common features of faulty reasoning--slanting, bias, propaganda, vagueness, ambiguity, and a common failure to consider opposing points of view--the book introduces a variety of argument schemes and rhetorical techniques. This edition adds material on visual arguments and more exercises.

In the current paper, our aim is to explore the latent power dynamics surrounding corporate social responsibility in developing countries. To do this, we synthesize an analytic framework that borrows from both cross-cultural management literature as well as feminist considerations of power. We then use the framework to examine three streams of CSR literature. Our analysis uncovers the prevalence of arguments and discussions about indigenous and power-over themes rather than more generative, endogenous, and power-to themes. The paper concludes with the (...) suggestion for more space in the CSR literature for examining the realities and potentialities of local SME CSR expressions to counterbalance the overwhelming focus on MNCs. Such counterbalancing can better lead to the recognition that power and domination are not the only important dynamics to examine in CSR research. Just as important is the need for a more nuanced consideration of the role and contributions of different actors to the continuously unfolding CSR discourse. (shrink)

The Leo Strauss transcript project -- Editor's introduction: Strauss, Nietzsche, and the history of political philosophy -- Editorial headnote -- Introduction: Nietzsche's philosophy, existentialism, and the problem of our age -- Restoring nature as ethical principle: Zarathustra, prologue -- The creative self: Zarathustra, part 1, 1-8 -- The true individual as the highest goal: Zarathustra, part 1, 9-15 -- Postulated nature and final truth: Zarathustra, part 1, 16-22 -- Truth, interpretation, and intelligibility: Zarathustra, part 2, 1-12 -- Will to power (...) and self-overcoming: Zarathustra, part 2, 15-20 -- Summary and review: fusing Plato and the creative self -- Greek philosophy and the Bible; nature and history: Zarathustra, part 2, 20-22 -- Eternal recurrence: Zarathustra, part 2, 21; part 3, 1-13 -- Survey: Nietzsche and political philosophy -- The goodness of the whole, Socratic and Heideggerian critiques: Zarathustra, part 4-12 -- Creative contemplation: Zarathustra, part 3, 13 -- Restoring the sacred and the final question: Zarathustra, part 4. (shrink)

Presents the early published writings of the distinguished political philosopher Leo Strauss, available here for the first time in English. “Zank places at the reader’s disposal the young Strauss’s passionate advocacy of political Zionism and his early confrontations with Spinoza, consideration of whom helped lead Strauss to formulate his teaching on ‘the quarrel between the ancients and the moderns.’” — National Review.

In the present article two possible meanings of the term mathematical structure are discussed: a formal and a nonformal one. It is claimed that contemporary mathematics is structural only in the nonformal sense of the term. Bourbaki's definition of structure is presented as one among several attempts to elucidate the meaning of that nonformal idea by developing a formal theory which allegedly accounts for it. It is shown that Bourbaki's concept of structure was, from a mathematical point of view, a (...) superfluous undertaking. This is done by analyzing the role played by the concept, in the first place, within Bourbaki's own mathematical output. Likewise, the interaction between Bourbaki's work and the first stages of category theory is analyzed, on the basis of both published texts and personal documents. (shrink)

This collection of Leo Abse's last essays are writings that he was working on from 2006 up to and during his final illness.

The essays are based on a long and intimate familiarity with the works, but the essay on Aristotle is especially important as one of Strauss's few writings on ...

A theory of planned behavior framework was employed to investigate the impact of corporate social responsibility perceptions on the job choice intentions of American, Chinese, and Lebanese college students. Attitudes toward CSR, subjective norm, and perceived behavioral control explained moderate levels of the variance in job choice intention in all three countries. Attitudes toward CSR, which entailed individual evaluations of CSR, were positively related to job choice intentions among Lebanese and American respondents, but not Chinese respondents. Subjective norm, the importance (...) accorded the views of significant others, was most strongly related to job choice intentions among Chinese respondents. Perceived behavioral control, the perceived degree of control over one’s actions and outcomes, had the strongest relationship to job choice intentions among American respondents. The authors concluded that respondents in the three countries did not differ in the extent to which they intend to work for socially responsible firms but tended to derive their intentions in different ways. Implications for tailoring CSR and recruitment efforts across countries are derived based on the findings. (shrink)

Leo Corry tells the story behind the idea of number, from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century.

In Homos, he studies the historical, political, and philosophical grounds for the current distrust, within the gay community, of self-identifying moves, for the ...

Maude's excellent translation of Tolstoy's treatise on the emotionalist theory of art was the first unexpurgated version of the work to appear in any language. More than ninety years later this work remains, as Vincent Tomas observed, "one of the most rigorous attacks on formalism and on the doctrine of art for art's sake ever written". Tomas' Introduction makes this the edition of choice for students of aesthetics and anyone with philosophical interests.

Philosophers often claim that forgiveness is a paradoxical phenomenon. I here examine two of the most widespread ways of dealing with the paradoxical nature of forgiveness. One of these ways, emblematized by Aurel Kolnai, seeks to resolve the paradox by appealing to the idea of repentance. Somehow, if a wrongdoer repents, then forgiving her is no longer paradoxical. I argue that this influential position faces more problems than it solves. The other way to approach the paradox, exemplified here by the (...) work of Jacques Derrida, is just too obscure to be by itself helpful. Yet, I argue that what I take to be its spirit is on the right track. I recommend distinguishing between the definition and the justification of forgiveness, and also between forgiveness understood as a mental phenomenon and an overt, communicative act. These distinctions are not given their due in the specialized literature, and I expose the nefarious consequences of this neglect. By focusing on forgiveness as a mental phenomenon I seek to analyze the root of the talk of paradoxes which surrounds the discussion of forgiveness. Finally, I present an analysis of forgiveness as a pure mental phenomenon, and argue that this analysis is the most important step in understanding forgiveness in any other sense. While my analysis reveals interesting aspects of forgiveness, it reveals, too, that forgiveness is not quite as paradoxical after all. (shrink)

I. The function of models in the empirical sciencesII. Structure and purpose: conditions of a structural nature which models should satisfy in order to accomplish their function.III. Generalisation and specialisation of the classical definition of model, in view of the above requirements:the algebraic model conceptthe semantic model conceptthe syntactical model conceptIV. Attempt towards reunification: the concept of model on a pragmatic basis.

The present article discusses the computational tools (both conceptual and material) used in various attempts to deal with individual cases of FLT, as well as the changing historical contexts in which these tools were developed and used, and affected research. It also explores the changing conceptions about the role of computations within the overall disciplinary picture of number theory, how they influenced research on the theorem, and the kinds of general insights thus achieved. After an overview of Kummer’s contributions and (...) its immediate influence, I present work that favored intensive computations of particular cases of FLT as a legitimate, fruitful, and worth-pursuing number-theoretical endeavor, and that were part of a coherent and active, but essentially low-profile tradition within nineteenth century number theory. This work was related to table making activity that was encouraged by institutions and individuals whose motivations came mainly from applied mathematics, astronomy, and engineering, and seldom from number theory proper. A main section of the article is devoted to the fruitful collaboration between Harry S. Vandiver and Emma and Dick Lehmer. I show how their early work led to the hesitant introduction of electronic computers for research related with FLT. Their joint work became a milestone for computer-assisted activity in number theory at large. (shrink)

The purpose of this paper is threefold. First, I visit the Fogelin–Geach-dispute, criticizeMiller''s interpretation of the Geachian notationN(x:N(fx)) and conclude that Fogelin''s argumentagainst the expressive completeness of the Tractariansystem of logic is unacceptable and that the adoptionof the Geachian notation N(x:fx) would not violate TLP5.32. Second, I prove that a system of quantificationtheory with finite domains and with N as the solefundamental operation is expressively complete. Lastly, I argue that the Tractarian system is apredicate-eliminated many-sorted theory (withoutidentity) with finite domains (...) and with N as the solefundamental operation, and thus is expressivelycomplete. (shrink)

Over the last decades we have seen an increased interest in forensic rhetoric in Plato's dialogues, notably in relation to hisApology. However, little interest has been paid to this strain of rhetoric in relation to theGorgias. In this article I focus on one notion, βοήθεια, as it was discussed in Plato'sGorgias. This notion had a wide currency in forensic rhetoric in classical Athens.

To commemorate 40 years since the founding of the Journal of Business Ethics, the editors in chief of the journal have invited the editors to provide commentaries on the future of business ethics. This essay comprises a selection of commentaries aimed at creating dialogue around the theme Ethics at the centre of global and local challenges. For much of the history of the Journal of Business Ethics, ethics was seen within the academy as a peripheral aspect of business. However, in (...) recent years, the stakes have risen dramatically, with global and local worlds destabilized by financial crisis, climate change, internet technologies and artificial intelligence, and global health crises. The authors of these commentaries address these grand challenges by placing business ethics at their centre. What if all grand challenges were framed as grand ethical challenges? Tanusree Jain, Arno Kourula and Suhaib Riaz posit that an ethical lens allows for a humble response, in which those with greater capacity take greater responsibility but remain inclusive and cognizant of different voices and experiences. Focussing on business ethics in connection to the grand challenge of environmental emergencies, Steffen Böhm introduces the deceptively simple yet radical position that business is nature, and nature is business. His quick but profound side-step from arguments against human–nature dualism to an ontological undoing of the business–nature dichotomy should have all business ethics scholars rethinking their “business and society” assumptions. Also, singularly concerned with the climate emergency, Boudewijn de Bruin posits a scenario where, 40 years from now, our field will be evaluated by its ability to have helped humanity emerge from this emergency. He contends that Milieudefensie v. Royal Dutch Shell illustrates how human rights take centre stage in climate change litigation, and how business ethics enters the courtroom. From a consumer ethics perspective, Deirdre Shaw, Michal Carrington and Louise Hassan argue that ecologically sustainable and socially just marketplace systems demand cultural change, a reconsideration of future interpretations of “consumer society”, a challenge to the dominant “growth logic” and stimulation of alternative ways to address our consumption needs. Still concerned with global issues, but turning attention to social inequalities, Nelarine Cornelius links the capability approach to global and corporate governance, arguing that CA will continue to lie at the foundation of human development policy, and, increasingly, CSR and corporate governance. Continuing debate on the grand challenges associated with justice and equality, Laurence Romani identifies a significant shift in the centrality of business ethics in debates on managing differences, positing that dialogue between diversity management and international management can ground future debate in business ethics. Finally, the essay concludes with a commentary by Charlotte Karam and Michelle Greenwood on the possibilities of feminist-inspired theories, methods, and positionality for many spheres of business ethics, not least stakeholder theory, to broaden and deepen its capacity for nuance, responsiveness, and transformation. In the words of our commentators, grand challenges must be addressed urgently, and the Journal of Business Ethics should be at the forefront of tackling them. (shrink)

With a view to the theme of church renewal, this article explores the role of a well-known and popular phrase in the Reformed tradition within Protestantism, that is, ecclesia reformata semper reformanda [‘the reformed church should always be reformed’]. Is this a helpful slogan when considering the possibilities and the limitations of church renewal? Firstly, the historical background of this phrase is described: it is rooted in the Dutch Reformed tradition, and only in the 20th century it was widely recognised (...) in Reformed circles. Against this background the hermeneutical problem, linked with the principle of sola Scriptura, is presented, and put into an ecumenical ecclesiological perspective: the church is grounded in the gospel. Finally, the article focuses on church polity as an important field of renewal, taking into account Karl Barth’s interpretation of this phrase. From this perspective, a balanced and ecumenical approach of church renewal is possible. (shrink)

The purpose of this paper is to offer an interpretation of the Tractatus’ proof of the unity of logic and language. The kernel of the proof is the thesis that the sole logical constant is the general propositional form. I argue that the Grundgedanke, the existence of the sole fundamental operation N and the analyticity thesis, together with the fact that the operation NN can always be seen as having no specific formal difference between its result and its base, imply (...) that NN is intrinsic to every elementary proposition. I also argue that the picture theory of proposition is an account of the generation of propositions via naming, and that its crucial idea is that naming is the instantiation of the form of a name, which consists in arbitrarily picking out an object as the meaning of the name from those objects sorted out by the form of the name. It follows that the existential quantifier, that is, NN, is intrinsic to naming (and therefore to every elementary proposition). It is then proven that the sole logical constant is the general propositional form. This, together with the truth‐functionality of logical necessity, implies that logic and language are unified via a general rule – logical syntax. (shrink)

Methods facilitating noetic ascent -- Contraction as an ontological concept -- Contraction and noesis -- Contraction and memory -- Physiologically induced contraction -- The scholastic tradition of contraction -- Cusanus and the scholastic tradition of contraction.