he following is an essay by Emmanuel Levinas, newly translated by Mendel Kranz, concerning Jewish culture and education, Hebrew studies, and Zionism. The essay was first published in 1954 in the United States by The Alliance Review, a small journal affiliated with the Alliance israélite universelle, and has since been almost entirely forgotten. In 2011–2012, it was republished in French by Denis Poizat based on the original draft found in the Alliance archives. Preceding Levinas’s essay is a preface (...) by Kranz that situates it at the intersection of Levinas’s postwar project for Judaism, his relation to Zionism, and the colonial backdrop of the ENIO—three issues that are rarely considered together in Levinas scholarship. Poizat also provides some commentary on the question of education and the similarities between this and other essays by Levinas. (shrink)

The discussion of mathematical knowledge and its relation to the construction of an appropriate diagram in Aristotle's Metaphysics Θ 9. 1051 a21—33 is an important, if compressed, account of Aristotle's most mature thoughts on mathematical knowledge. The discussion of what sort of previous knowledge one must have for understanding a theorem recalls the discussion at An. Post. A 1. 71 a 17–21, where the epistemological point is similar and the examples the same. The first example, that the interior angles of (...) a triangle equal two right angles, appears no less than thirty times in the corpus . The example of the angle inscribed in a semicircle being a right angle also occurs at An. Post. B 11. 94a 27–34, but in a very different context from its two companions. Illustrations of both theorems provided clear stock examples for Aristotle. (shrink)

In his Metrica, Hero provides four procedures for finding the area of a circular segment (with b the base of the segment and h its height): an Ancient method for when the segment is smaller than a semicircle, $$(b + h)/2 \, \cdot \, h$$ ( b + h ) / 2 · h ; a Revision, $$(b + h)/2 \, \cdot \, h + (b/2)^{2} /14$$ ( b + h ) / 2 · h + ( b / 2 (...) ) 2 / 14 ; a quasi-Archimedean method (said to be inspired by the quadrature of the parabola) for cases where b is more than triple h, $${\raise0.5ex\hbox{$\scriptstyle 4$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 3$}}(h \, \cdot \, b/2)$$ 4 / 3 ( h · b / 2 ) ; and a method of Subtraction using the Revised method, for when it is larger than a semicircle. He gives superficial arguments that the Ancient method presumes $$\pi = 3$$ π = 3 and the Revision, $$\pi = {\raise0.5ex\hbox{$\scriptstyle {22}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 7$}}$$ π = 22 / 7. We are left with many questions. How ancient is the Ancient? Why did anyone think it worked? Why would anyone revise it in just this way? In addition, why did Hero think the Revised method did not work when $$b > 3\;h$$ b > 3 h? I show that a fifth century BCE Uruk tablet employs the Ancient method, but possibly with very strange consequences, and that a Ptolemaic Egyptian papyrus that checks this method by comparing the area of a circle calculated from the sum of a regular inscribed polygon and the areas of the segments on its sides as determined by the Ancient method with the area of the circle as calculated from its diameter correctly sees that the calculations do not quite gel in the case of a triangle but do in the case of a square. Both traditions probably could also calculate the area of a segment on an inscribed regular polygon by subtracting the area of the polygon from the area of the circle and dividing by the number of sides of the polygon. I then derive two theorems about pairs of segments, that the reviser of the Ancient method should have known, that explain each method, why they work when they do and do not when they do not, and which lead to a curious generalization of the Revised method. Hero’s comment is right, but not for the reasons he gives. I conclude with an exploration of Hero’s restrictions of the Revised method and Hero’s two alternative methods. (shrink)

Based on several cases, this article develops a thought inspired by the Journal of Philosophy of Education’s special issue on the Educational Value of Monuments (55.3). The article is a reflection about the locations which make statues able to be transformed materially and semiotically, and which provoke discussion about what is to be learnt by understanding the monument as a fragment and semiophore. I argue that the monument—located in a specific place which makes its contextual meaning—represents fragments, in Latin fractures (...) or cracks, as an expression of the violence inflicted on an imaginary whole. Defining and accepting a monument as a fragment allows us to understand each change that may happen to it—including removal or relocation—as an incentive to learn about the meanings of new wholes and to consciously respond to them. On the one hand, this can effectively stop mimetic pressures to reproduce aggression towards monuments. On the other, it can create a ground for shaping an ethical attitude of co-responsibility for a common world that is not exclusively human. The strictly educational sense of the proposed redefinition of the monument would be to radicalize sensitivity to its inherent feature, which is its fragmentary nature, resulting in the fragility of the heritage it co-creates in the space of commonality. In the proposed understanding of the monument, apart from the emphasis on significant fragmentation, an important role is played by the decisive abandonment of the anthropocentric perspective. In the new perspective of the common world, the monument becomes an ephemeral heritage, and its most current educational value seems to lie there. (shrink)

The topic of instrumentalism has engaged many scholars of contemporary educational thought. One can distinguish the positions of anti-instrumentalism from those that stress noninstrumental values of education, both conceived in the context of neoliberal/neoconservative and consumption-driven reality. In this text, Maria Mendel enters into this engagement from the perspective of the current political consumption of memory. While taking up the problem of the role public pedagogy plays in contemporary nation-states — especially in the current turn toward the past — (...) Mendel focuses on both educational and sociopolitical issues in the context of what she calls “retroactive instrumentalism.” When return to the past is the “principle of the contemporary,” she argues, instrumentalism does not necessarily result from intentional planning ex ante. If education is broadly understood as a practice of public space formation, it may be composed of experiences that do not have to be “traditionally” purposeful and oriented toward the future. They may gain their instrumental character ex post. To illustrate this possibility, Mendel analyzes snippets of Polish reality concerning the construction of “the good nation.” Many of the elements of public pedagogy in this case contain unifications that pertain directly to the instrumental character of the learning experiences employed by a society as it transforms into a nation. The instrumentalism of those elements is discovered post factum. In its ontological dimension, then, education may gain or solidify its instrumental character ex post. Based on the analysis proposed in this text, one could say that when instrumentality is retroactive, it becomes displaced intentionality — that is, it provides an instrumental story that disguises the intentions of the one writing the narrative. Mendel concludes by using the Aristotelian notion of phantasia, which regards “being without a matter,” to encourage productive thought about how to create public narratives that are free of instrumentalism. This grounds a version of public pedagogy that is oriented toward the animation of people's active imagining and thus becoming public. By epistemologically shifting learning into a public space, such public pedagogy serves to recultivate society and humanity as plurality, diversity, and coproduction of the public. (shrink)

This intervention study explored the effects of a newly developed intergenerational encounter program on cross-generational age stereotyping. Based on a biographical-narrative approach, participants were invited to share ideas about existential questions of life. Therefore, the dyadic Life Story Interview had been translated into a group format, consisting of 10 90-min sessions. Analyses verified that LSEP participants of both generations showed more favorable CGAS immediately after, but also 3 months after the program end. Such change in CGAS was absent in a (...) control group. The LSEP-driven short- and long-term effects on CGAS could be partially explained by two program benefits, the feeling of comfort with and the experience of learning from the other generation. (shrink)

In order to explore the nature and possible reality of consciousness, a universe was created in the laboratory according to Procedure 347:B of the Unified Universe Creation Manual. This universe was allowed to evolve without further intervention through the stage in which biological-type life formed, and additionally beyond that point to life forms of complexity such that consciousness was deemed a possibility by the researchers. The behaviour of these possibly conscious beings was noted, both externally and internally. Before the universe (...) was sacrificed, a random sample of the beings was removed and autopsied according to Provision 472-B of the Consciousness Inspection Handbook, version 5472. Both the behavioural and physical data are consistent with the existence of a primitive form of consciousness. (shrink)

It is shown that Einstein abandoned his earlier view that there are material consequences, such as asymmetric aging, implied by the space-time transformations of transformations of relativity theory.

This paper presents an attempt to describe parents’ activities, in which context it is puzzling that – on the basis of a negative assessment of the current reality (current crises, including the privatization of what is public) – parents seem to be searching intensively for new solutions that would make better not only the school but also the world it is a part of. Their focus, in this, is on the local dimension of activities that refer to sustainability and emphasize (...) place. In this approach, place is a field of confrontation and constant becoming. Parental activities in one sustainable community school in Chicago is the point of departure to introduce a pedagogy of the vital place that pays specific attention to how the heritage of these places makes them (partially) resistant to capitalist capture, and somewhat ready to take on the challenges of the crisis in which we live on the planet today. The reflection presented in this article is guided by the assumption that, in these times, when the survival of humankind is at stake, we desperately need a more-than-human format of world. (shrink)

This paper presents a qualitative comparison of opposing views of elementary matter—the Copenhagen approach in quantum mechanics and the theory of general relativity. It discusses in detail some of their main conceptual differences, when each theory is fully exploited as a theory of matter, and it indicates why each of these theories, at its presently accepted state, is incomplete without the other. But it is then argued on logical grounds that they cannot be fused, thus indicating the need for a (...) third revolution in contemporary physics. Toward this goal, the approach discussed is one of further generalizing the theory of general relativity in a way that incorporates the inertial manifestations of matter in covariant fashion, with quantum mechanics serving as a low-energy, linear approximation. Such a theoretical extension of general relativity will be discussed, with applications in elementary particle physics, such as the appearance of mass spectra in the microdomain, as an asymptotic feature of matter, mass doublets (electron-muon and proton-heavy proton), the explanation of pair annihilation and creation from a deterministic field theory, charge quantization, and features of pions. (shrink)

The precessional frequency of a gyroscope in a reference frame that orbits about a gravitational body is compared between Einstein's tensor formulation of general relativity and the author's quaternion generalization—obtained from a factorization of the tensor form. The difference in predictions then suggests an experiment that could choose which of these formulations of general relativity is more valid in the analysis of gyroscopic motion.