A recent article argued that signals from conventional Raman spectroscopy of organic materials are overwhelmed by edge filter and fluorescence artefacts. The article targeted a subset of Raman spectroscopic investigations of fossil and modern organisms and has implications for the utility of conventional Raman spectroscopy in comparative tissue analytics. The inferences were based on circular reasoning centered around the unconventional analysis of spectra from just two samples, one modern, and one fossil. We validated the disputed signals with in situ Fourier‐Transform (...) Infrared (FT‐IR) Spectroscopy and through replication with different lasers, filters, and operators in independent laboratories. Our Raman system employs a holographic notch filter which is not affected by edge filter or other artefacts. Multiple lines of evidence confirm that conventional Raman spectra of fossils contain biologically and geologically meaningful information. Statistical analyses of large Raman and FT‐IR spectral data sets reveal patterns in fossil composition and yield valuable insights into the history of life. (shrink)

Hartry Field argues that conservative rather than true mathematical sentences facilitate deductions in nominalist (i.e., abstracta-free) science without prejudging its empirical outcomes. In this paper, I identify one branch of mathematics as nonconservative, for its indispensable role in enabling nominalist language about a fundamental scientific property, in a fictional scientific community. The fundamental property is electromagnetic reflectance, and the mathematics is Fourier analysis, which renders reflectance ascribable, and nominalist reflectance claims utterable, by this community. Using a recent characterization of conservativeness (...) by Kenneth Boyce, I argue that infinitudes can be rendered inherently mathematical and non-nominalizable in the fictional community, and that rendering infinitudes inherently mathematical for all real communities would yield a convincing counterexample to Fieldian conservativeness. (shrink)

Many biological systems experience a periodic environment. Floquet theory is a mathematical tool to deal with such time periodic systems. It is not often applied in biology, because linkage between the mathematics and the biology is not available. To create this linkage, we derive the Floquet theory for natural systems. We construct a framework, where the rotation of the Earth is causing the periodicity. Within this framework the angular momentum operator is introduced to describe the Earth’s rotation. The Fourier operators (...) and the Fourier states are defined to link the rotation to the biological system. Using these operators, the biological system can be transformed into a rotating frame in which the environment becomes static. In this rotating frame the Floquet solution can be derived. Two examples demonstrate how to apply this natural framework. (shrink)

In this study, voluntary and involuntary visual attention focused on different interpretations of a bistable image, were investigated using magnetoencephalography. A Necker cube with sinusoidally modulated pixels' intensity in the front and rear faces with frequencies 6.67 Hz and 8.57 Hz, respectively, was presented to 12 healthy volunteers, who interpreted the cube as either left- or right-oriented. The tags of these frequencies and their second harmonics were identified in the average Fourier spectra of the MEG data recorded from the visual (...) cortex. In the first part of the experiment, the subjects were asked to voluntarily control their attention by interpreting the cube orientation as either being on the left or right. Accordingly, we observed the dominance of the corresponding spectral component, and voluntary attention performance was measured. In the second part of the experiment, the subjects were asked to focus their gaze on a red marker at the center of the cube image without putting forth effort in its interpretation. The alternation of the dominant spectral energies at the second harmonics of the stimulation frequencies was treated as changes in the cube orientation. Based on the results of the first experimental stage and using a wavelet analysis, we developed a method which allowed us to identify the currently perceived cube orientation. Finally, we characterized involuntary attention using the distribution of dominance times when focusing attention on one of the cube orientations, which was related to voluntary attention performance and brain noise. In particular, we confirmed our hypothesis that higher attention performance is associated with stronger brain noise. (shrink)

Os conceitos de espaço e tempo absolutos, independentes entre si, foram propostos por Newton como os mais básicos fundamentos da mecânica clássica. Alguns estudiosos, como Leibniz, admitiram haver alguma interconexão entre o espaço e o tempo. No século passado, devido ao incrível aprimoramento dos instrumentos físicos de observação em diferentes escalas, mudanças aconteceram. Com a relatividade, foi proposto o conceito de espaço-tempo, uma relação linear entre o espaço e o tempo. Com a mecânica quântica, devido a Niels Bohr, as coisas (...) mudaram radicalmente. Na interpretação de Copenhague, os conceitos de espaço e tempo perdem a sua natureza ôntica. Devido à ontologia de Fourier, um postulado implícito da mecânica quântica, qualquer entidade física é assumida como existindo em todo espaço e em todo tempo. Além disso, um fenômeno aparentemente estranho é previsto: o efeito de túnel, que permite (segundo alguns autores) a transmissão de informação em tempo zero. Esses fatos indicam que, possivelmente, os conceitos de espaço e tempo (cronológico), inter-relacionados, talvez não tenham a suposta adequação absoluta e universal, em diferentes escalas de observação e diferentes níveis de descrição da realidade. Neste universo conceptual mais geral, o conceito ôntico mais básico é o Devir, a mudança permanente dos seres físicos. (shrink)

In 1920s Russia domestic life is the object of a specific political debate that tries to formulate housing forms and comfort models alternative to the one of the bourgeois house. By analysing the texts written by Fourier, Engels and Russian functionalist architects and the discourses that accompany USSR housing policies, the article reconstructs the concepts of comfort underlying this debate and their functions.

The present research used archaeological data, i.e., the data obtained from kamekan jar burials in the Mikuni Hills of the northern Kyushu area in the Mid- dle Yayoi period, to test the parochial altruism model. This model argued that out-group hate and in-group favor coevolved via prehistoric intergroup conflicts. If this model is accurate, such an out-group hate and in-group favor could be re- flected in the archaeological remains, such as pottery making; the more frequent intergroup conflicts are and the (...) more each group is opposed, the more independent and coherent each group will be and more evident cultural identity could be estab- lished within each group. We employed an elliptic Fourier analysis for the shapes of kamekan jar burials. We examined whether frequent intergroup conflicts in the period influenced kamekan jar pottery between subareas of the Mikuni Hills. The results suggested that the shapes of kamekan jar burials after the KIIIa type are slightly different between subareas, which is partially consistent with the model. However, the results do not support the model directly. (shrink)

The two Heisenberg Uncertainties (UR) entail an incompatibility between the two pairs of conjugated variables E, t and p, q. But incompatibility comes in two kinds, exclusive of one another. There is incompatibility defineable as: (p → -q) & (q → -p) or defineable as [(p → -q) & (q → -p)] ↔ r. The former kind is unconditional, the latter conditional. The former, in accordance, is fact independent, and thus a matter of logic, the latter fact dependent, and thus (...) a matter of fact. The two types are therefore diametrically opposed. In spite of this, however, the existing derivations of the Uncertainties are shown here to entail both types of incompatibility simultaneously. ΔEΔt ≥ h is known to derive from the quantum relation E = hv plus the Fourier relation ΔvΔt ≥ 1. And the Fourier relation assigns a logical incompatibility between Δv = 0, Δt = 0. (Defining a repetitive phenomenon at an instant t → 0 is a self contradictory notion.) An incompatibility, therefore, which is fact independent and unconditional. How can one reconcile this with the fact that ΔEΔt exists if and only if h > 0, which latter supposition is a factual truth, entailing that a ΔE = 0, Δt = 0 incompatibility should itself be fact dependent? Are we to say that E and t are unconditionally incompatible (via ΔvΔt ≥ 1) on condition that E = hv is at all true? Hence, as presently standing, the UR express a self-contradicting type of incompatibility. To circumvent this undesirable result, I reinterpret E = hv as relating the energy with a period. Though only one such period. And not with frequency literally. (It is false that E = v. It is true that E = v times the quantum.) In this way, the literal concept of frequency does not enter as before, rendering ΔvΔt ≥ 1 inapplicable. So the above noted contradiction disappears. Nevertheless, the Uncertainties are derived. If energy is only to be defined over a period, momentum only over a distance (formerly a wavelength) resulting during such period, thus yielding quantized action of dimensions Et = pq, then energies will become indefinite at instants, momenta indefinite at points, leading, as demanded, to (symmetric!) ΔEΔt = ΔpΔq ≥ h's. (shrink)

Uno degli obiettivi piu evidenti della fisica del secolo scorso e stato in apparenza quello di operare la riduzione di tutti i fenomeni ad una spiegazione meccanica. l'esempio classico e quello del "riduzionismo" di laplace e di helmholtz. nello stesso tempo, c'e da notare che vi e pero anche tutto un settore della fisica matematica (quello che ha in fourier il suo capostipite) che assume una posizione sostanzialmente "non-riduzionistica," contraddistinta dalla decisa esclusione di ipotesi relative ad entita non osservabili. (edited).

The Guise Cooperative, a project out carried in northern Paris by Jean-Baptiste André Godin (1817-88), who was inspired by the utopian ideas of Charles Fourier (1772-1837), put into practice a model that: (a) was politico-democratic in its self-management by the workers in a foundry; (b) was socio-economic in combining for the first time international competition and social benefits; (c) anticipated ecological arguments in developing industrialization processes; (d) embodied religious tolerance; (e) outlived the genuine socialism inspired by Marx. Godin’s ‘Palais Social’ (...) in Guise, still lived in today by around 300 descendants of the workers, was proclaimed a Human Heritage monument and handed over to the European Union in 1991. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 61.3 (2000) 493-512 [Access article in PDF] William Morris: Art, Work, and Leisure Ruth Kinna William Morris's most important contribution to British socialist thought is often said to be his elaboration of a plan for the socialist future. E. P. Thompson, for example, argued that Morris was "a pioneer of constructive thought as to the organization of socialist life within Communist society." 1 (...) His vision of socialism, famously captured in his utopian novel News From Nowhere, was inspired by a number of principles, but perhaps its most notable feature was the demand that labor be made attractive. 2 As John Drinkwater noted shortly after Morris's death, Morris passionately believed that an individual who is "overworked, or employed all the while in degrading work... cannot be himself." The message of his socialism, in Drinkwater's view "one of the profoundest and most inspiriting that it has been given to any man to deliver," was that "in bringing back joy to their daily work [men]... would put their feet on the first step towards... true dignity and pride of life." 3Since Drinkwater's comments, Morris's ideas about the organization of labor in socialism have attracted a considerable amount of attention. Most scholars have argued that his ideas were underpinned by two separate concerns: his hostility to the effects of industrialization and his opposition to the division of labor. As Fiona McCarthy notes, Morris not only protested against the pollution, congestion, and "squalid industrial waste" produced by "uncontrolled factory production," he also spoke out against the "rigid organization of the factory [End Page 493] which keeps the operative virtually chained to a single repetitive task." 4 Though both aspects of Morris's work have generated considerable scholarly interest, the first has attracted more attention than the second. A. L. Morton preferred to examine Morris's attacks on the effects of industrialization in order to counter the impression that his complaints were anti-modern or that his socialism required a return to premechanized methods of production. 5 Others have argued, more positively, that the proposals Morris made for the reorganization and for the improvement of factory production in particular set him apart from his contemporaries. 6 Recently, eco-socialist writers have developed this line of thought and extolled Morris as a precursor of green theory. 7 By contrast, Morris's views about the division of labor have not been seen as either controversial or distinctive. In some accounts his ideas are straightforwardly compared to Marx's. 8 Others suggest that his understanding of the division of labor was hazy. Paul Meier, for example, argues that Morris was unclear about the problems that the division of labor raised and that he only discussed it in a very general way. 9 Both these approaches mistakenly emphasize the separateness of the two elements in Morris's thought, and the relationship between his critique of industrialization and the division of labor has been neglected. I will argue that it is this relationship, and not the two respective parts, which holds the key to his demand for the realization of attractive labor.Morris integrated his ideas about industrialization and the division of labor into a wider analysis of the relationship between work and leisure. He began to think about this relationship before he committed himself to socialism in 1883, but his mature thought was influenced by Fourier as well as Marx. The two led him to conceptualize the relationship in two distinct ways. In the first he contrasted work with leisure and suggested that attractive labor required the reduction of necessary labor time; in the second he identified work with leisure and defined attractive labor as the exercise and expression of human creativity. As will be seen, these two conceptions were not easily reconciled. The first led Morris to argue that the realization of attractive labor was dependent upon the division of labor and the increase in productivity which it fostered; the second convinced him that attractive labor required a change in working practices and [End Page 494] that its realization... (shrink)

Résumé Projet réalisé au nord de Paris par Jean-Baptiste André Godin, (1817-1888), s’inspirant de l’idée utopique de Charles Fourier (1772-1837), le Familistère de Guise a mis en œuvre un modèle : (a) politico-démocratique d’autogestion par les ouvriers d’une usine de fourneaux ; (b) socio-économique qui alliait pour la première fois compétitivité internationale et bénéfices sociaux; (c) qui anticipait le raisonnement écologique dans le développement des processus d’industrialisation; (d) de tolérance religieuse (e) ayant survécu au socialisme réel inspiré de Marx. Le (...) Palais Social de Godin à Guise, habité à ce jour par environ 300 descendants des ouvriers, a été déclaré Patrimoine de l’humanité et confié à l’Union Européenne en 1991. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

This thesis is devoted to the exploration of the complexity of some mathematical problems using the framework of computable analysis and descriptive set theory. We will especially focus on Weihrauch reducibility as a means to compare the uniform computational strength of problems. After a short introduction of the relevant background notions, we investigate the uniform computational content of problems arising from theorems that lie at the higher levels of the reverse mathematics hierarchy.We first analyze the strength of the open and (...) clopen Ramsey theorems. Since there is not a canonical way to phrase these theorems as multi-valued functions, we identify eight different multi-valued functions and study their degree from the point of view of Weihrauch, strong Weihrauch, and arithmetic Weihrauch reducibility.We then discuss some new operators on multi-valued functions and study their algebraic properties and the relations with other previously studied operators on problems. In particular, we study the first-order part and the deterministic part of a problem f, capturing the Weihrauch degree of the strongest multi-valued problem that is reducible to f and that, respectively, has codomain $\mathbb {N}$ or is single-valued.These notions proved to be extremely useful when exploring the Weihrauch degree of the problem $\mathsf {DS}$ of computing descending sequences in ill-founded linear orders. They allow us to show that $\mathsf {DS}$, and the Weihrauch equivalent problem $\mathsf {BS}$ of finding bad sequences through non-well quasi-orders, while being very “hard” to solve, are rather weak in terms of uniform computational strength. We then generalize $\mathsf {DS}$ and $\mathsf {BS}$ by considering $\boldsymbol {\Gamma }$ -presented orders, where $\boldsymbol {\Gamma }$ is a Borel pointclass or $\boldsymbol {\Delta }^1_1$, $\boldsymbol {\Sigma }^1_1$, $\boldsymbol {\Pi }^1_1$. We study the obtained $\mathsf {DS}$ -hierarchy and $\mathsf {BS}$ -hierarchy of problems in comparison with the Baire hierarchy and show that they do not collapse at any finite level.Finally, we work in the context of geometric measure theory and we focus on the characterization, from the point of view of descriptive set theory, of some conditions involving the notions of Hausdorff/Fourier dimension and Salem sets. We first work in the hyperspace $\mathbf {K}$ of compact subsets of $[0,1]$ and show that the closed Salem sets form a $\boldsymbol {\Pi }^0_3$ -complete family. This is done by characterizing the complexity of the family of sets having sufficiently large Hausdorff or Fourier dimension. We also show that the complexity does not change if we increase the dimension of the ambient space and work in $\mathbf {K}$. We also generalize the results by relaxing the compactness of the ambient space and show that the closed Salem sets are still $\boldsymbol {\Pi }^0_3$ -complete when we endow $\mathbf {F}$ with the Fell topology. A similar result holds also for the Vietoris topology.We conclude by analyzing the same notions from the point of view of effective descriptive set theory and Type-2 Theory of Effectivity, and show that the complexities remain the same also in the lightface case. In particular, we show that the family of all the closed Salem sets is $\Pi ^0_3$ -complete. We furthermore characterize the Weihrauch degree of the functions computing Hausdorff and Fourier dimension of closed sets.prepared by Manlio Valenti.E-mail:[email protected]. (shrink)

This declaration ponders the impacts of Joule warm, separation, and warming radiation for the progression of MHD Sutterby nanofluid past over an all-inclusive chamber. The wonder of warmth and mass conduction is demonstrated under warm conductivity relying upon temperature and dispersion coefficients individually. Besides, the conventional Fourier and Fick laws have been applied in the outflows of warm and mass transport. The control model comprising of a progression of coupled incomplete differential conditions is changed over into a standard arrangement of (...) nonlinear coupled differential conditions by reasonable likeness changes. The subsequent arrangement of articulations is systematically treated through an ideal homotopic method. The impacts of various dimensionless stream boundaries on the speed, temperature, and focus fields are delineated through diagrams. The range of some parameters involved is assumed for the convergent solution as 0 < R e < 10, 0 < P r < 6.5, 0 < E c < 40, 0 < R d < 1.5, 0 < S 1 < 0.5, 0 < S 2 < 0.5, 0 < L e < 0.5, 0 < N t < 2.5, and 0 < N b < 2.0. The patterns of skin friction coefficient, local Nusselt, and Sherwood numbers are examined via bar charts. The principle consequence of the proposed study is that the decay of the speed for the Sutterby liquid boundary, the deterioration of the variable warm conductivity, the temperature, and the radiation increase the framework temperature. The delineation boundaries show the opposite conduct for the temperature and fixation outskirts layers. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Fabuler la fin du monde: La puissance critique des fictions d’apocalypse by Jean-Paul EngélibertCyril CamusJean-Paul Engélibert. Fabuler la fin du monde: La puissance critique des fictions d’apocalypse [Fabulating the end of the world: The critical power of apocalypse fiction]. Paris: Éditions La Découverte, 2019. 239 pp. Print. 20€. ISBN 978-2-348-03719-1.Jean-Paul Engélibert is a well-established expert on apocalyptic and postapocalyptic fiction. His exploration of the genre thus far includes (...) the monograph Apocalypses sans royaume: Politique des fictions de la fin du monde, XX–XXIe siècles (2013), numerous articles, as well as the essay collection L’Apocalypse: Une imagination politique, XIXe–XXIe siècles (2018), which he co-edited. In his latest book, Fabuler la fin du monde, he returns to several texts and aspects of the genre previously covered, delving deeper into what he calls “fictions of the end of the world.” In the ten chapters, gathered in five parts, he approaches his subject as a seasoned scholar in the field of comparative literature, and his analysis draws from comparisons between modern fiction’s representation of apocalypse and biblical literature’s visions of apocalypse and messianism. The book also offers ecocritical insights into the specter of Anthropocenic manifestations in fiction, with reflections on the interrelated genres of utopia and dystopia, theories of cinema, and philosophical writings on the catastrophic history of the twentieth and twenty-first centuries.The range of fictional works discussed is wide, including Jean-Baptiste Cousin de Grainville’s Le dernier homme (1805); Mary Shelley’s Frankenstein (1818); Émile Souvestre’s Le monde tel qu’il sera (1846); Didier de Chousy’s Ignis (1883); Robert Merle’s Malevil (1972); José Saramago’s Blindness (1995); Antoine Volodine’s Minor Angels (1999); Don DeLillo’s Cosmopolis (2003); Cormac McCarthy’s The Road (2006); Céline Minard’s Le dernier monde (2007); Davide [End Page 163] Longo’s The Last Man Standing (2010); and Margaret Atwood’s MaddAddam trilogy (Oryx and Crake [2003], The Year of the Flood [2009], and MaddAddam [2013]). Engélibert also touches on feature-length movies such as Stanley Kramer’s On the Beach (1959), Lars von Trier’s Melancholia (2011), Abel Ferrara’s 4:44 Last Day on Earth (2012), and Mamoru Oshii’s Ghost in the Shell (1995), as well as on other literary and audiovisual fictions, such as E. M. Forster’s short story “The Machine Stops” (1909), Edward Bond’s dramatic trilogy The War Plays (1985), and the first season (2014) of Damon Lindelof and Tom Perrotta’s TV series The Leftovers (2014–17).Engélibert’s exegeses of the genre build around two aspects of the evolving relationship of apocalyptic narratives to the context of their production. Apocalypse (in the sense of “the end of the world” rather than the etymological sense of “revelation”) is no longer primarily a religious myth: the creation and use of the atomic bomb during the Second World War, the theorization of the Anthropocene, and the mainstreaming of concerns over climate change have made the term “apocalypse” a very real, tangible prospect for the future. Engélibert relies on Günther Anders’s Die atomare Drohung (1981) to highlight the importance of the A-bomb in bringing home the reality of potential annihilation to people’s collective consciousness. Yet his second contextual/historical point is that the Anthropocene (albeit unnamed at the time) actually started with the Industrial Revolution, and that thinkers and polemicists such as Charles Fourier or Eugène Huzar, as well as contemporary fiction writers, were already acknowledging the environmental impact of humans and their economic/industrial/technological activity as threats to human and nonhuman life, and to the health of the planetary system itself.1Citing the work of Jean-Baptiste Fressoz and Christophe Bonneuil on the history of climate science, Engélibert analyzes in detail several nineteenth-century novels (namely Le Dernier homme, Frankenstein, Le monde tel qu’il sera, and Ignis) and one early-twentieth-century story (Forster’s “The Machine Stops”) that denounce the harm that the idol of the time, Progress, was already wreaking on nature and human life... (shrink)

Compactified Minkowski spacetime is suggested by conformal covariance of Maxwell equations, while E. Cartan's definition of simple spinors leads to the idea of compactified momentum space. Assuming both diffeomorphic to (S 3 × S 1 )/Z 2 , one may obtain in the conformally flat stereographic projection field theories both infrared and ultraviolet regularized. On the compact manifold themselves instead, Fourier integrals of wave-field oscillations would have to be replaced by Fourier series summed over indices of spherical eigenfunctions: n, l, (...) m, m′. Tentatively identifying those wave structures with spacetime itself (in the frame of Big-Bang) and/or with matter and radiation distribution, some large-scale (hydrogenic) and small-scale (lattice) space structures are conjectured. (shrink)

The two Heisenberg Uncertainties (UR) entail an incompatibility between the two pairs of conjugated variables E, t and p, q. But incompatibility comes in two kinds, exclusive of one another. There is incompatibility defineable as: (p → − q) & (q→ − p) or defineable as [(p →− q) & (q →− p)] ↔ r. The former kind is unconditional, the latter conditional. The former, in accordance, is fact independent, and thus a matter of logic, the latter fact dependent, and (...) thus a matter of fact. The two types are therefore diametrically opposed. In spite of this, however, the existing derivations of the Uncertainties are shown here to entail both types of incompatibility simultaneously. Δ E Δ t ≥ h is known to derive from the quantum relation E = hν plus the Fourier relation Δ ν Δ t ≥ 1. And the Fourier relation assigns a logical incompatibility between Δ ν = 0, Δ t = 0. (Defining a repetitive phenomenon at an instant t → 0 is a self contradictory notion.) An incompatibility, therefore, which is fact independent and unconditional. How can one reconcile this with the fact that Δ EΔ t exists if and only if h > 0, which latter supposition is a factual truth, entailing that a Δ E = 0, Δ t = 0 incompatibility should itself be fact dependent? Are we to say that E and t are unconditionally incompatible (via Δ ν Δ t ≥ 1) on condition that E = hν is at all true? Hence, as presently standing, the UR express a self-contradicting type of incompatibility. To circumvent this undesirable result, I reinterpret E = hν as relating the energy with a period. Though only one such period. And not with frequency literally. (It is false that E = ν. It is true that E = ν times the quantum.) In this way, the literal concept of frequency does not enter as before, rendering Δ ν Δ t ≥ 1 inapplicable. So the above noted contradiction disappears. Nevertheless, the Uncertainties are derived. If energy is only to be defined over a period, momentum only over a distance (formerly a wavelength) resulting during such period, thus yielding quantized action of dimensions Et = pq, then energies will become indefinite at instants, momenta indefinite at points, leading, as demanded, to (symmetric!) Δ E Δ t = Δ p Δ q ≥ h’s. (shrink)

On the stupidity of oysters -- Divining creaturely love -- Horsing around: the marriage blanc of Nietzsche, Andreas-Salomø, and Røe -- Groping for an opening: Rilke between animal and angel -- Electric caresses:Rilke, Balthus, and Mitsou -- Between perfection and temptation: Musil, Claudine, and Veronica -- The biological travesty -- "The creature whom we love": Proust and jealousy -- The love tone: capture and captivation -- "The soft word that comes deceiving": Fournival's bestiary of love -- The cuckold and the (...) cockatrice: Fourier and Hazlitt -- The animal bride and horny toads -- Unsettled being: Ovid's metamorphoses -- Fickle metaphysics -- Nymphomania and faunication -- Senseless arabesques: Wendy and Lucy -- The goat in the machine (a reprise) -- On cetaceous maidens -- Animal magnetism and alternative currents (or Tesla and the white dove). (shrink)

The basic methods of constructing the sets of mutually unbiased bases in the Hilbert space of an arbitrary finite dimension are reviewed and an emerging link between them is outlined. It is shown that these methods employ a wide range of important mathematical concepts like, e.g., Fourier transforms, Galois fields and rings, finite, and related projective geometries, and entanglement, to mention a few. Some applications of the theory to quantum information tasks are also mentioned.

In lieu of an abstract, here is a brief excerpt of the content:270 HISTORY OF PHILOSOPHY The Prophets of Paris. By Frank E. Manuel. (Cambridge: Harvard University Press, 1962.) This perceptive and sophisticated contribution to the history of ideas is organized around the intellectual biographies of Turgot, Condorcet, Saint-Simon, the Saint-Simoniarts, Charles Fourier, and Auguste Comte. Professor Manuel's prophets were all Frenchmen and all, he believes, can be placed in a common tradition marked by their conviction that Paris was the (...) mount from which the new gospel had to be delivered, that love was the key to social organization, and that social and religious relationships were more significant than political forms. He presents them as prophets in the Old Testament sense--as unsparing moral critics, teachers and the "revealers of a divine historical design." They were philosophers of an age of crisis, convinced that theirs was the instant of a great human divide and therefore victims "of the anguish of futurity." The future they so confidently foretold to anyone who cared to listen, and to many who did not, has found many of their prophetic visions to be poor predictions, but for Manuel they cannot be dismissed as utopian cranks or frustrated totalitarians. Many of the issues they raised and problems they sensed have yet to be adequately confronted, and it is this prescience, particularly with regard to the psychological conditions of social existence, that Manuel wishes to emphasize. This treatment, as its author admits, is a "frank attempt at rehabilitation, to right the balance of historical judgement and bestow new worth upon thinkers who have often been treated with superficiality" (pp. 1-10). Manuel's approach to the history of ideas lends itself quite effectively to this purpose. He admits to a "romantic view of history-writing" which entails an effort to establish an intimacy with his subjects through an immersion in their manuscripts, in the "scribbled brouillons, the casual notes, the personal letters," as well as in the identity presented through their published works. His writing of history is romantic not only in this regard but much more profoundly in his historicism, which attempts an immediate empathetic confrontation with the total organic complex of his subject's life, ideas, and environment. Manuel's evident sympathy occasionally tempts him into apologetics, but essentially he is not arguing a brief for the defense but trying to understand what it was that made these men see so far, and yet with such myopic arrogance, and what it was they saw. It seemed to me that his approach is most successful with Fourier, and least so with Turgot. Charles Fourier, the self-taught travelling salesman from Besan~on, is often summarily dismissed as a cosmic crank with easy reference to his fantastic aberrations --his seas of lemonade and the copulation of the planets. Manuel helps us to understand not only the aberrations but the prescient insights by establishing the relationship between Fourier's personality and his ideas, as well as by tracing the connections between apparently contradictory conceptions. He does not misuse this technique of intellectual biography by patronizing or justifying a system of thought with reference to its psychological antecedents, but rather helps to illuminate a philosophy by examining the reasons for its expression. This works particularly well with Fourier, an obsessed and deprived personality, whose great contribution, according to Manuel, was the assimilation into a social doctrine of the fundamental needs and drives of mankind--its "manifold wants, its secret desires, and its obstinate fixations" (p. 203). Both Fourier and the SaintSimonians believe that it was pointless to tinker with the social environment without regard for permanent psychological realities, but the latter hoped to sublimate human passions through a social organization that redefined them, while Fourier wanted a social system that would provide for their total gratification (p. 226). Occasionally Manuel rather triumphantly unearths striking parallels with our present BOOK REVIEWS 271 concerns that do not demonstrate the vision of his seers into the future so much as his discovery of analogues in the past. Fourier's case is not particularly strengthened by the observation that his vision of a climate so benign under the regime of phalansteries as to render tire very poles inhabitable is "no longer as... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Book Reviews,Shapes oS Philosophical History. By Frank E. Manuel. (Stanford: Stanford University Press, 1965.Pp. 166.$1.95.) Based upon his seven Camp Lectures of 1962 at Stanford, Professor Manuel has issued this taut and recondite volume describing the forms philosophical history has taken in the West. He has performed a difficult task well, giving much scholarly substance to his theme that two archetypal shapes of speculative history-writing have dominated Western thought, (...) one an Augustinian teleological.unitary-procursus view, the other a Polybian, cyclical, Ixionlike, Stoic model. The first is broadly defined as "movement either to a fixed end, or to an indefinite end that defines itself in the course of the progression, history as novelty-creating and always variant"; the second as "circularity, eternal recurrence, return to the beginning of things, sheer reiteration or similar recapitulation." Comte and modem progressists are at the end of the first line, Nietzsehe and Spengler and other cylicists at the end of the second. However, broadly again, amalgamations of the two types are possible, syncretistic variants have often taken shape, and, Protean-hke, both lend themselves to almost infinite interpretive patterns. These typologies are psychological more than logical polarities, both emotional and intellectual alternatives, so they often stand for and serve contradictory purposes. Yet historians tend to betray their preference for one of these opposed conceptions, according to Manuel, as they "select an identity for historic man." Deliberately refraining from taking sides on the issue (thus implicitly casting some doubt on his contention that historians and others "inevitably betray their preference for one of these opposing conceptions"), Manuel addresses himself to the task of illuminating the polarity, exhibiting the multiplicity of its forms through time and focusing upon crucial moments of the debate in the West. Of these exhibits--early Christians vs. pagans, Augustine vs. Joachim, the virtual triumph of cyclicism in the Renaissance (albeit with a split developed between negative and positive, pessimist and optimist cyclicists), the ambivalence of the eighteenth-century Germans on the issue (particularly Kant and Herder), the triumphant optimism of the French perfectibilists, the vacillation of the German academists--Manuel's examination of the French and German writers stands out, although the range of his knowledge and first-hand inspection of archival sources from Augustine's time to Toynbee's demonstrates an admirable scholarship. Of the eighteenth-century Germans, Manuel well illustrates their ambivalent and paradoxical side. Herder, for example, nominally an opponent, debating against "abderite" cyclical theory and apparently concluding in favor of it; Goethe wondering whether the world "will become one great hospital in which we behave toward one another like benign male nurses" if Herder's more optimistic notions triumph; old Kant in his special language rejecting all then current models of world history (moral terrorism, abderitism and eudaemonism ) and opting for what Manuel calls a "mechanism... akin to the cunning of reason" to institute a just civil constitution and estabhsh perpetual peace, yet not really persuaded that his sanguine view of moral progress would prevail. As for the later Germans in and out of the Academy (particularly Hegel, Fichte, Schelling, HSlderlin and Hamann) while youthful enthusiasts of progress (everyone knows the story of the young Hegel and his friends planting the tree of liberty saluting the French revolution), their conceptions of history became more and more Platonic, more and more nostalgic and parochial. On the other hand Manuel's account of the eighteenth and nineteenth-century French relates their boundless energy and dedication to progressist conceptions, a development he holds as quite isolated and isolable from the German movement. Without doubt the French had the most imagination and the most confidence in developing philosophical history to an almost dizzying optimistic pitch. Manuel demonstrates a line from Voltaire through Turgot, Condorcet, Saint-Simon, Fourier and the Saint-Simonians to Auguste Comte, each building on the others in time, each theorizing "man's steady conquest of the external world, beginning in a period when he was still the member of a feeble and isolated band, and culminating in his present high estate." "The Golden Age of the human species is not behind us, it is before [171] 172 HISTORY OF PHILOSOPHY us," Saint-Simon... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Book Reviews,Shapes oS Philosophical History. By Frank E. Manuel. (Stanford: Stanford University Press, 1965.Pp. 166.$1.95.) Based upon his seven Camp Lectures of 1962 at Stanford, Professor Manuel has issued this taut and recondite volume describing the forms philosophical history has taken in the West. He has performed a difficult task well, giving much scholarly substance to his theme that two archetypal shapes of speculative history-writing have dominated Western thought, (...) one an Augustinian teleological.unitary-procursus view, the other a Polybian, cyclical, Ixionlike, Stoic model. The first is broadly defined as "movement either to a fixed end, or to an indefinite end that defines itself in the course of the progression, history as novelty-creating and always variant"; the second as "circularity, eternal recurrence, return to the beginning of things, sheer reiteration or similar recapitulation." Comte and modem progressists are at the end of the first line, Nietzsehe and Spengler and other cylicists at the end of the second. However, broadly again, amalgamations of the two types are possible, syncretistic variants have often taken shape, and, Protean-hke, both lend themselves to almost infinite interpretive patterns. These typologies are psychological more than logical polarities, both emotional and intellectual alternatives, so they often stand for and serve contradictory purposes. Yet historians tend to betray their preference for one of these opposed conceptions, according to Manuel, as they "select an identity for historic man." Deliberately refraining from taking sides on the issue (thus implicitly casting some doubt on his contention that historians and others "inevitably betray their preference for one of these opposing conceptions"), Manuel addresses himself to the task of illuminating the polarity, exhibiting the multiplicity of its forms through time and focusing upon crucial moments of the debate in the West. Of these exhibits--early Christians vs. pagans, Augustine vs. Joachim, the virtual triumph of cyclicism in the Renaissance (albeit with a split developed between negative and positive, pessimist and optimist cyclicists), the ambivalence of the eighteenth-century Germans on the issue (particularly Kant and Herder), the triumphant optimism of the French perfectibilists, the vacillation of the German academists--Manuel's examination of the French and German writers stands out, although the range of his knowledge and first-hand inspection of archival sources from Augustine's time to Toynbee's demonstrates an admirable scholarship. Of the eighteenth-century Germans, Manuel well illustrates their ambivalent and paradoxical side. Herder, for example, nominally an opponent, debating against "abderite" cyclical theory and apparently concluding in favor of it; Goethe wondering whether the world "will become one great hospital in which we behave toward one another like benign male nurses" if Herder's more optimistic notions triumph; old Kant in his special language rejecting all then current models of world history (moral terrorism, abderitism and eudaemonism ) and opting for what Manuel calls a "mechanism... akin to the cunning of reason" to institute a just civil constitution and estabhsh perpetual peace, yet not really persuaded that his sanguine view of moral progress would prevail. As for the later Germans in and out of the Academy (particularly Hegel, Fichte, Schelling, HSlderlin and Hamann) while youthful enthusiasts of progress (everyone knows the story of the young Hegel and his friends planting the tree of liberty saluting the French revolution), their conceptions of history became more and more Platonic, more and more nostalgic and parochial. On the other hand Manuel's account of the eighteenth and nineteenth-century French relates their boundless energy and dedication to progressist conceptions, a development he holds as quite isolated and isolable from the German movement. Without doubt the French had the most imagination and the most confidence in developing philosophical history to an almost dizzying optimistic pitch. Manuel demonstrates a line from Voltaire through Turgot, Condorcet, Saint-Simon, Fourier and the Saint-Simonians to Auguste Comte, each building on the others in time, each theorizing "man's steady conquest of the external world, beginning in a period when he was still the member of a feeble and isolated band, and culminating in his present high estate." "The Golden Age of the human species is not behind us, it is before [171] 172 HISTORY OF PHILOSOPHY us," Saint-Simon... (shrink)

This article traces disagreements about the genetic effects of low-dose radiation exposure as waged by James Neel, a central figure in radiation studies of Japanese populations after World War II, and Yuri Dubrova, who analyzed the 1986 Chernobyl nuclear power plant accident. In a 1996 article in Nature, Dubrova reported a statistically significant increase in the minisatellite DNA mutation rate in the children of parents who received a high dose of radiation from the Chernobyl accident, contradicting studies that found no (...) significant inherited genetic effects among offspring of Japanese A-bomb survivors. Neel’s subsequent defense of his large-scale longitudinal studies of the genetic effects of ionizing radiation consolidated current scientific understandings of low-dose ionizing radiation. The article seeks to explain how the Hiroshima/nagasaki data remain hegemonic in radiation studies, contextualizing the debate with attention to the perceived inferiority of Soviet genetic science during the Cold War. (shrink)

This research explores the contextual approach within Christian-Jewish religious education, addressing a notable gap in existing literature and offering fresh insights into the application of the Contextual Teaching and Learning (CTL) model within Christian contexts. Through a qualitative literature study employing a three-step methodology, including an in-depth analysis of Deuteronomy 11:19–20, this study reveals that this biblical text provides both educational guidance and theological significance, serving as a foundational support for the CTL model in Christian-Jewish religious education. The integration of (...) digital media into biblical sources holds promise for future research, while the central challenge lies in harmonising life experiences and empirical phenomena with biblical reflections to seamlessly integrate inquiry processes and pedagogical phases, with potential avenues for further exploration in scripture models endorsing CTL. This research provides valuable insights for educators, parents and policymakers in Indonesia and beyond, advancing educational research in contextualised teaching models within religious education.Contribution: This article demonstrates that the CTL model in the digital era has the potential to revolutionise religious education and profoundly impact learners, making it a significant scientific contribution in the context of Christian-Jewish religious education. (shrink)

With disparate rates of morbidity and mortality among minoritized communities, COVID-19 illuminated the need for equity-informed practices in public health. Pacia et al posit FQHCs as entities that addressed inequity when others failed. This commentary further situates how FQHCs address the public health crisis of institutional racism and related health inequities every day and presents a FQHC-led Ethics and Equity Framework and Workflow Checklist to guide ethical and equitable engagement with FQHCs.

Carta escrita por Gilda de Mello e Souza, remetida ao colega Oswaldo Porchat, que se encontrava em Berkeley, quando a ditadura civil-militar brasileira, recrudescida desde a implantação, em agosto de 1968, do AI-5, representava uma verdadeira ameaça a estudantes e docentes da Universidade de São Paulo, especialmente se lhe fizessem qualquer tipo de oposição. Porchat trocou uma sequência de cartas com Gilda nessa época, nas quais relata sua desilusão com a Faculdade de Filosofia, e com os acontecimentos políticos no Brasil. (...) Ao mesmo tempo, confessa estar encantado com a descoberta de novos elementos da Lógica, e com a atmosfera mais amena dos Estados Unidos. Porchat sabe que Gilda enfrenta momentos difíceis, tendo de assumir a Presidência do curso em meio à tentativa do reitor Miguel Reale de submetê-lo a um interventor. Enfrentando a dúvida sobre se valeria a pena retornar ao Brasil naquele momento, Porchat escreve à amiga. A carta a seguir expressa, dentro do que era possível na época, quando as correspondências eram vigiadas, o parecer de Gilda sobre as indagações do amigo, sobre os rumos da ditadura, e sobre o que ela pensava de sua própria atitude de resistência naquele contexto. A carta original, assim como a sequência de correspondências da qual faz parte, está depositada no Fundo Gilda de Mello e Souza, no Instituto de Estudos Brasileiros (IEB/USP). Agradeço à família de Gilda, especialmente a Ana Luisa Escorel e a Laura Escorel, pela disponibilização desse documento para a presente publicação. (shrink)

In this case report, we describe a woman with advancing dementia who still retained decisional capacity and was able to clearly articulate her request for deactivation of her implanted cardiac pacemaker—a scenario that would result in her death. In this case, the patient had the autonomy to make her decision, but clinicians at an outside hospital refused to deactivate her pacemaker even though they were in unanimous agreement that the patient had capacity to make this decision, citing personal discomfort and (...) a belief that her decision seemed out of proportion to her suffering. We evaluated her at our hospital, found her to have decision-making capacity, and deactivated her pacer resulting in her death about 9 days later. While some clinicians may be comfortable discussing patient preferences for device deactivation in patients who are imminently dying, we can find no reports in the literature of requests for device deactivation from patients with terminal diagnoses who are not imminently dying. (shrink)

The strong weak truth table (sw) reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occurs naturally in proofs in classical computability theory as well as in the recent work of Soare, Nabutovsky, and Weinberger on applications of computability to differential geometry. We study the sw-degrees of c.e. reals and construct a c.e. real which has no random c.e. real (i.e., Ω number) sw-above it.

Este ensaio pretende levantar as seguintes questões: 1. de que modo é possível reconstituir o sentido de moral segundo um amor-próprio cujo conteúdo é dado menos por um isolamento ou negaçáo do outro do que por um trabalho pessoal sobre si mesmo, em vista de um êthos , de uma ética? 2. em que medida o valor da moral hoje em dia pode ser deslocado da lei universal para uma atitude de diferença, da normalidade do comportamento para o cultivo de (...) si e, por fim, da verdade sobre o sujeito para uma subjetivaçáo ascética que náo exige a prerrogativa de uma identidade, mas a transformaçáo de si na relaçáo consigo e com os outros? Tais questões sáo levantadas a partir de Friedrich Nietzsche, Michel Foucault e Fernando Savater. Palavras-chave: Amor-próprio, Estética da existência, Ética, Identidade. (shrink)