The first part of this paper examines conditions in accord with Einstein's criterion of regularity on the field solutions everywhere that would correspond to the existence of a black hole star, following from solutions of his (nonvacuum) field equations. ‘Black hole’ is defined here as a star whose matter is so condensed as to correspond to a complete family of spatially closed geodesics. The condition imposed is that the angular momentum of a test body in each of the closed geodesics (...) is a constant of the motion. The second part of the paper examines the implications in the problem of the condensed star of a generalized (factorized) version of the metrical field equations, discovered earlier by the author. It is found that in general relativity stars should naturally pulsate, and in its succeeding cycles the gravitational radius of the star is attenuated by a factor exp(−0.349T), where T is the pulsation period. Conditions are discussed for the possibility that the (relatively) regular emissions of radiation from a pulsar may be dynamically rooted in a (smaller) part of the pulsation cycle when the star is out of the black hole state (less dense → open geodesics)—when radiation would be emitted to the outside world—and the (greater) part of the cycle when it is in the black hole state (more dense → closed geodesics)—when radiation would not be emitted. (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)

It is commonly held that moral judgements are implicitly general — or universalizable — in that if anyone is morally obligated to perform or refrain from some action, everyone in relevantly similar circumstances is similarly obligated. I undertake here to show that David Hume fully subscribed to this thesis and that because of the way it is related to his conceptions of obligation and what he terms the practicality of morals he is pushed to insist that the moral sentiments of (...) human beings across space and time are much more uniform than he knew them to be. My discussion places Hume in the historical context of the controversy about 'the general foundation of morals' referred to near the beginning of the second Enquiry, and it is part of my thesis that Hume's moral philosophy can be understood only in terms of arguments and counter-arguments developed by other contributors to the controversy. (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.

Descendre acheter le journal? Réflexion : vous délibérez, construisez un projet, argumentez. Décision prise, la volonté vous met debout. Alors, dès le premier pas, l'acte vient à la rencontre de l'action-projet qui agrégeait dans votre tête réflexion, délibération, argumentation, décision, volonté. L'acte est une aventure. Toute la réalité imprévisible du monde se trouvait là, en réserve, dont les créations intellectuelles de l'action escamotaient la part d'inconnu. On décide une action, c'est l'acte qu'on rencontre. Mais alors, pourquoi les deux mots sont-ils (...) communément employés l'un pour l'autre, obligeant à penser l'acte dans une réduction à l'action " dans la tête "? Tel est le sujet de ce livre magistral de Gérard Mendel qui prend la suite de La psychanalyse revisitée (1988) et La société n'est pas une famille (1992). A partir d'une lecture critique de l'œuvre des grands philosophes, d'Aristote à Habermas, en passant par Saint Augustin, Descartes ou Nietzsche, Gérard Mendel montre comment la naissance philosophique de l'être il y a vingt-cinq siècles a chassé l'acte de la réflexion intellectuelle. En s'appuyant sur une étude approfondie de l' " intelligence pratique " nourrie de son expérience de terrain sur le champ social et sur la relecture des travaux fondamentaux de Winnicott, il propose une nouvelle approche théorique du sujet et de l'acte. Loin du fantasme occidental d'une domination absolue de l'esprit sur la nature et la société, s'affirme alors l'idée d'un acte, pouvoir individuel et collectif en quête d'un rapport plus harmonieux avec la réalité qui, parce qu'elle résiste continûment, reste toujours aussi blessante pour le narcissisme humain. Cette réflexion passionnante, d'une écriture toujours claire, intéressera tous ceux qui ne se satisfont pas de la césure entre théorie et pratique dans la compréhension de l'activité humaine : psychanalystes, psychologues et philosophes, bien sûr, mais aussi travailleurs sociaux et sociologues. (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)

This paper responds briefly to the criticism of Rodrigues and Rosa on my earlier analysis of the twin paradox. The main point that I have emphasized (and that the authors have not refuted, either logically or mathematically) is the error in directly identifying anabstract measure relative to a reference frame [and its transformations to all other possible reference frames in which the laws of nature are to be compared (such as temporal and spatial measures)], with aphysical extension and duration of (...) a material body. (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)

The author argues, Contra hume, That "the motives of human action are not related to the action in the way in which the causes of the sort of physical behaviour to which hume refers are related to that behaviour." the author contends this because he is opposed to the consequence of hume's theory that "moral appraisal presupposes 'necessity' or determinism." he concludes that we do have to explain morality in terms of human motives, But that a different sort of causality (...) is involved here than in the physical world. (staff). (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.