The Lorentz transformation of space and time between two reference frames is one of the pillars of the special relativity theory. As a result of the Lorentz transformation, space and time are only relative and are entangled, while the Minkowski metric is Lorentz invariant. For this reason, the Lorentz transformation is one of the major obstructions in the development of physical theories with quantized space and time. Here is described the Lorentz transformation of a physical system with a discrete (...) dynamical time and a continuous space that fulfills Lorentz invariance while approximating the Lorentz transformation at the time continuous limit and the Galilei transformation at the classical limit. Furthermore, the discreteness of time is not mixed with the continuous nature of space, making time distinct from space. (shrink)

The long-periodic/infinite discrete Gabor transform is more effective than the periodic/finite one in many applications. In this paper, a fast and effective approach is presented to efficiently compute the Gabor analysis window for arbitrary given synthesis window in DGT of long-periodic/infinite sequences, in which the new orthogonality constraint between analysis window and synthesis window in DGT for long-periodic/infinite sequences is derived and proved to be equivalent to the completeness condition of the long-periodic/infinite DGT. By using the property of delta (...) function, the original orthogonality can be expressed as a certain number of linear equation sets in both the critical sampling case and the oversampling case, which can be fast and efficiently calculated by fast discrete Fourier transform. The computational complexity of the proposed approach is analyzed and compared with that of the existing canonical algorithms. The numerical results indicate that the proposed approach is efficient and fast for computing Gabor analysis window in both the critical sampling case and the oversampling case in comparison to existing algorithms. (shrink)

This paper discusses the discrete symmetries of off-shell electromagnetism, the Stueckelberg–Schrodinger relativistic quantum theory and its associated 5D local gauge theory. Seeking a dynamical description of particle/antiparticle interactions, Stueckelberg developed a covariant mechanics with a monotonically increasing Poincaré-invariant parameter. In Stueckelberg’s framework, worldlines are traced out through the parameterized evolution of spacetime events, which may advance or retreat with respect to the laboratory clock, depending on the sign of the energy, so that negative energy trajectories appear as antiparticles when (...) the observer describes the evolution using the laboratory clock. The associated gauge theory describes local interactions between events (correlated by the invariant parameter) mediated by five off-shell gauge fields. These gauge fields are shown to transform tensorially under under space and time reflections—unlike the standard Maxwell fields—and the interacting quantum theory therefore remains manifestly Lorentz covariant. Charge conjugation symmetry in the quantum theory is achieved by simultaneous reflection of the sense of evolution and the fifth scalar field. Applying this procedure to the classical gauge theory leads to a purely classical manifestation of charge conjugation, placing the CPT symmetries on the same footing in the classical and quantum domains. In the resulting picture, interactions do not distinguish between particle and antiparticle trajectories—charge conjugation merely describes the interpretation of observed negative energy trajectories according to the laboratory clock. (shrink)

Bekenstein proposed that the spectrum of horizon area of quantized black holes must be discrete and uniformly spaced. We examine this proposal in the context of spherically symmetric charged black holes in a general class of gravity theories. By imposing suitable boundary conditions on the reduced phase space of the theory to incorporate the thermodynamic properties of these black holes and then performing a simplifying canonical transformation, we are able to quantize the system exactly. The resulting spectra of horizon (...) area, as well as that of charge are indeed discrete. Within this quantization scheme, near-extremal black holes (of any mass) turn out to be highly quantum objects, whereas extremal black holes do not appear in the spectrum, a result that is consistent with the postulated third law of black hole thermodynamics. (shrink)

Preparative and analytical methods developed by separation scientists have played an important role in the history of molecular biology. One such early method is gel electrophoresis, a technique that uses various types of gel as its supporting medium to separate charged molecules based on size and other properties. Historians of science, however, have only recently begun to pay closer attention to this material epistemological dimension of biomolecular science. This paper substantiates the historiographical thread that explores the relationship between modern laboratory (...) practice and the production of scientific knowledge. It traces the historical development of gel electrophoresis from the mid-1940s to the mid-1960s, with careful attention to the interplay between technical developments and disciplinary shifts, especially the rise of molecular biology in this time-frame. Claiming that the early 1950s marked a decisive shift in the evolution of electrophoretic methods from moving boundary to zone electrophoresis, I reconstruct various trajectories in which scientists such as Oliver Smithies sought out the most desirable solid supporting medium for electrophoretic instrumentation. Biomolecular knowledge, I argue, emerged in part from this process of seeking the most appropriate supporting medium that allowed for discrete molecular separation and visualization. The early 1950s, therefore, marked not only an important turning point in the history of separation science, but also a transformative moment in the history of the life sciences as the growth of molecular biology depended in part on the epistemological access to the molecular realm available through these evolving technologies. (shrink)

Preparative and analytical methods developed by separation scientists have played an important role in the history of molecular biology. One such early method is gel electrophoresis, a technique that uses various types of gel as its supporting medium to separate charged molecules based on size and other properties. Historians of science, however, have only recently begun to pay closer attention to this material epistemological dimension of biomolecular science. This paper substantiates the historiographical thread that explores the relationship between modern laboratory (...) practice and the production of scientific knowledge. It traces the historical development of gel electrophoresis from the mid-1940s to the mid-1960s, with careful attention to the interplay between technical developments and disciplinary shifts, especially the rise of molecular biology in this time-frame. Claiming that the early 1950s marked a decisive shift in the evolution of electrophoretic methods from moving boundary to zone electrophoresis, I reconstruct various trajectories in which scientists such as Oliver Smithies sought out the most desirable solid supporting medium for electrophoretic instrumentation. Biomolecular knowledge, I argue, emerged in part from this process of seeking the most appropriate supporting medium that allowed for discrete molecular separation and visualization. The early 1950s, therefore, marked not only an important turning point in the history of separation science, but also a transformative moment in the history of the life sciences as the growth of molecular biology depended in part on the epistemological access to the molecular realm available through these evolving technologies. (shrink)

Fact-finding is at the heart of human rights advocacy, and is often at the center of international controversies about alleged government abuses. In recent years, human rights fact-finding has greatly proliferated and become more sophisticated and complex, while also being subjected to stronger scrutiny from governments. Nevertheless, despite the prominence of fact-finding, it remains strikingly under-studied and under-theorized. Too little has been done to bring forth the assumptions, methodologies, and techniques of this rapidly developing field, or to open human rights (...) fact-finding to critical and constructive scrutiny. The Transformation of Human Rights Fact-Finding offers a multidisciplinary approach to the study of fact-finding with rigorous and critical analysis of the field of practice, while providing a range of accounts of what actually happens. It deepens the study and practice of human rights investigations, and fosters fact-finding as a discretely studied topic, while mapping crucial transformations in the field. The contributions to this book are the result of a major international conference organized by New York University Law School's Center for Human Rights and Global Justice. Engaging the expertise and experience of the editors and contributing authors, it offers a broad approach encompassing contemporary issues and analysis across the human rights spectrum in law, international relations, and critical theory. This book addresses the major areas of human rights fact-finding such as victim and witness issues; fact-finding for advocacy, enforcement, and litigation; the role of interdisciplinary expertise and methodologies; crowd sourcing, social media, and big data; and international guidelines for fact-finding. (shrink)

In the minds of many, Hox gene null mutant phenotypes have confirmed the direct role that these genes play in specifying the pattern of vertebrate embryos. The genes are envisaged as defining discrete spatial domains and, subsequently, conferring specific segmental identities on cells undergoing differentiation along the antero‐posterior axis. However, several aspects of the observed mutant phenotypes are inconsistent with this view. These include: the appearance of other, unexpected transformations along the dorsal axis; the occurrence of mirror‐image duplications; (...) and the development of anomalies outside the established domains of normal Hox gene expression. In this paper, Hox gene disruptions are shown to elicit regeneration‐like responses in tissues confronted with discontinuities in axial identity. The polarities and orientations of transformed segments which emerge as a consequence of this response obey the rules of distal transformation and intercalary regeneration. In addition, the incidence of periodic anomalies suggests that the initial steps of Hox‐mediated patterning occurs in Hensen's node. As gastrulation proceeds, mesoderm cell cycle kinetics impose constraints upon subsequent cellular differentiation. This results in the delayed manifestation of transformations along the antero‐posterior axis. Finally, a paradigm is sketched in which temporal, rather than spatial axial determinants direct differentiation. Specific, testable predictions are made about the role of Hox genes in the establishment of segmental identity. (shrink)

We address to the Poynting theorem for the bound electromagnetic field, and demonstrate that the standard expressions for the electromagnetic energy flux and related field momentum, in general, come into the contradiction with the relativistic transformation of four-vector of total energy–momentum. We show that this inconsistency stems from the incorrect application of Poynting theorem to a system of discrete point-like charges, when the terms of self-interaction in the product \ and bound electric field \ are generated by the same (...) source charge) are exogenously omitted. Implementing a transformation of the Poynting theorem to the form, where the terms of self-interaction are eliminated via Maxwell equations and vector calculus in a mathematically rigorous way, we obtained a novel expression for field momentum, which is fully compatible with the Lorentz transformation for total energy–momentum. The results obtained are discussed along with the novel expression for the electromagnetic energy–momentum tensor. (shrink)

Standard canonical quantum mechanics makes much use of operators whose spectra cover the set of real numbers, such as the coordinates of space, or the values of the momenta. Discrete quantum mechanics uses only strictly discrete operators. We show how one can transform systems with pairs of integer-valued, commuting operators $P_i$ and $Q_i$ , to systems with real-valued canonical coordinates $q_i$ and their associated momentum operators $p_i$ . The discrete system could be entirely deterministic while the corresponding (...) (p, q) system could still be typically quantum mechanical. (shrink)

This study examined the challenges for supervisors and managers of managing sick leave within a New Zealand university. We used a qualitative research design, interviewing 20 university staff across the academic and service divisions who had managerial roles. We applied Habermas’ distinctions of technical instrumental, practical relational, and emancipatory critical transformative interests, and his twofold distinction of system and lifeworld to our analysis. The primary findings suggest that while the technical instrumental discourses were dominant within the university bureaucracy, managers drew (...) upon practical relational and emancipatory critical transformative discourses to justify the considerable discretion they exercised in managing sick leave. Far from being incidental, these humanistic elements are as much a part of the bureaucracy as the rational elements and are fundamental to the system’s equilibrium. (shrink)

In this work we extend approximate aggregation methods in time discrete linear models to the case of time varying environments. Approximate aggregation consists in describing some features of the dynamics of a general system involving many coupled variables in terms of the dynamics of a reduced system with a few number of variables. We present a time discrete time varying model in which we distinguish two time scales. By using perturbation methods we transform the system to make the (...) global variables appear and build up the aggregated system. The asymptotic relationships between the general and aggregated systems are explored in the cases of a cyclically varying environment and a changing environment in process of stabilization. We show that under quite general conditions the knowledge of the behavior of the aggregated system characterizes that of the general system. The general method is also applied to aggregate a multiregional time dependent Leslie model showing that the aggregated model has demographic rates depending on the equilibrium proportions of individuals in the different patches. (shrink)

It is suggested that an understanding of blackbody radiation within classical physics requires the presence of classical electromagnetic zero-point radiation, the restriction to relativistic (Coulomb) scattering systems, and the use of discrete charge. The contrasting scaling properties of nonrelativistic classical mechanics and classical electrodynamics are noted, and it is emphasized that the solutions of classical electrodynamics found in nature involve constants which connect together the scales of length, time, and energy. Indeed, there are analogies between the electrostatic forces for (...) groups of particles of discrete charge and the van der Waals forces in equilibrium thermal radiation. The differing Lorentz- or Galilean-transformation properties of the zero-point radiation spectrum and the Rayleigh-Jeans spectrum are noted in connection with their scaling properties. Also, the thermal effects of acceleration within classical electromagnetism are related to the existence of thermal equilibrium within a gravitational field. The unique scaling and phase-space properties of a discrete charge in the Coulomb potential suggest the possibility of an equilibrium between the zero-point radiation spectrum and matter which is universal (independent of the particle mass), and an equilibrium between a universal thermal radiation spectrum and matter where the matter phase space depends only upon the ratio mc 2/k B T. The observations and qualitative suggestions made here run counter to the ideas of currently accepted quantum physics. (shrink)

The ambition and proposal for data modeling of myths presented in this paper is to link contemporary technical affordances to some canonical projects developed in structural anthropology. To articulate the theoretical promise and innovation of this proposal, we present a discrete-event system specification modeling and simulation approach in order to perform a generative analysis and a dynamic visualization of selected narratives, aimed at validating and revitalizing the transformational and morphodynamic theory and methodology proposed by Claude Lévi-Strauss in his structural (...) analysis of myth. After an analysis of Lévi-Strauss’s transformational methodology, we describe in detail how discrete-event system specification models are implemented and developed in the framework of a DEVSimPy software environment. The validation of the method involves a discrete-event system specification simulation based on the extension of discrete-event system specification models dedicated to provide a dynamic Google Earth visualization of the selected myth. Future work around the discrete-event system specification formalism in anthropology is described as well as future applications regarding the impact of computational models to new contemporary anthropological domains. (shrink)

Temporal stability and change in neutral contexts can transform continuous experiences into distinct and memorable events. However, less is known about how shifting emotional states influence these memory processes, despite ample evidence that emotion impacts non-temporal aspects of memory. Here, we examined if emotional stimuli influence temporal memory for recent event sequences. Participants encoded lists of neutral images while listening to auditory tones. At regular intervals within each list, participants heard emotional positive, negative, or neutral sounds, which served as “emotional (...) event boundaries” that divided each sequence into discrete events. Temporal order memory was tested for neutral item pairs that either spanned an emotional sound or were encountered within the same auditory event. Encountering a highly arousing event boundary led to faster response times for items encoded within the next event. Critically, we found that highly arousing sounds had different effects on binding ongoing versus ensuing sequential representations in memory. Specifically, highly arousing sounds were significantly more likely to enhance temporal order memory for ensuing information compared to information that spanned those boundaries, especially for boundaries with negative valence. These findings suggest that within aversive emotional contexts, fluctuations in arousal help shape the temporal organisation of events in memory. (shrink)

In the nearly one hundred years that have elapsed since Freud’s publication of his pioneering work with “Little Hans,” psychoanalysis has transformed not only our clinical work with children, but has immeasurably enriched our understanding of normal child and adolescent development as well as developmental deviations and derailments. We have gradually come to understand childhood and adolescence as a complex tapestry of developmental themes, conflicts, and crises; sometimes discontinuous or discrete, at other times, harmonious and integrated, yet always occurring (...) within a transactional matrix of environmental influences and internal experience. In this transdisciplinary anthology, eight authors explore the changing terrain of child and adolescent psychoanalysis and psychoanalytic therapy. The contributions, which reflect theoretical and clinical heterogeneity, are both innovative and varied, and range from the highly abstract and theoretical to those that consider very specific dimensions of clinical process. Collectively, they make a compelling case for the continued relevance of psychoanalytic ideas in the treatment of children and adolescents. With insightful contributions by expert psychoanalysts, clinical social workers, and clinical psychologists, Psychoanalytic Approaches to the Treatment of Children and Adolescents: Tradition and Transformation is essential reading for child and adolescent therapists. Psychoanalytic Approaches to the Treatment of Children and Adolescents will increase your knowledge of: the function of play in normal development--and within the treatment relationship psychoanalytic theories and research investigations linking early object loss to depression the nature of adolescent depression the theoretical and clinical dimensions of a two-systems approach to understanding psychopathology and the clinical process the dynamic meaning and clinical management of drug and alcohol abuse, promiscuity, eating disorders, violence, and other self-destructive behaviors the complexities of treating children with neuropsychological deficits. (shrink)

In this paper a new technique of dual image watermarking is proposed for protection of ownership rights which utilizes salient properties of homomorphic transform (HT), discrete wavelet transform (DWT), singular value decomposition (SVD) and Arnold transform (AT). In embedding algorithm host image is splitted into reflectance and illumination components using HT, DWT is further applied to the reflectance component resulting in frequency subbands (HL and LH) which are transformed by SVD. Two image watermarks are selected for embedding process whereas (...) security of proposed algorithm is strengthen by performing scrambling of second watermark through AT. Both watermarks are transformed with DWT and SVD. Singular values (SVs) of both transformed watermark are embedded into SVs of host image. Simulation results clearly signifies for high robustness and imperceptibility of proposed algorithm as it is examined under various attacks. Superiority of proposed technique is illustrated by comparing it with other reported methods. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Sunyata and Otherness:Applying Mutually Transformative Categories from Buddhist-Christian Dialogue in ChristologySusie Paulik Babka“The universe is expanding,” the physicists tell us. “But doesn’t an expansion of something mean the presupposition of boundaries?” my naïve mind inquires, thinking too much in terms of discrete substances. Can “something” expand “into” nothing, “into” emptiness? Shot through with “dark energy” (the name an intellectual signifier allowing physicists to speak of the ineffable), the (...) immensity of the universe teaches a lesson in humility before mystery and the radically new. Dark energy makes up 74 percent of the universe and is responsible for increasing the rate of the universe’s expansion; it may be explained as the energy of empty space, or space devoid of matter and gravity. Although an unobservable phenomenon, dark energy penetrates the known universe as that which counteracts gravity’s relationship to matter, causing a negative pressure in regions of the universe devoid of matter to expand. Hence, the energy of emptiness is the reason for the universe’s expansion; emptiness is the reason reality is better described by rapid change and impermanence than stasis and immutability.While it would seem that these developments do not impact religious thinking, the Dalai Lama and others have argued that because science helps us understand the nature of reality, it affects the paradigm in which we consider the veracity of religious ideas. In his words, “if scientific analysis were conclusively to demonstrate certain claims in Buddhism to be false, then we must accept the findings of science and abandon those claims.”1 This is a bold statement, challenging both East and West to consider that when derived from only one source, even our most treasured religious ideas are narrowly conceived.The Western worldview has kept pace neither with the challenges of cosmic and subatomic physics nor with a more sophisticated global community. Since Parmenides in the pre-Socratic era, Western thought has been dominated by Greek philosophical categories, in which the perfection of beings is regarded in immutability and stasis, and things ideally tend toward independence or self-sufficiency. These categories [End Page 73] not only are inadequate to describe reality discovered through scientific means but also fail to articulate the meaning of the religious and cultural encounters taking place between East and West. Writes Joseph O’Leary, “The encounter with Buddhist thought enhances the hermeneutical task of theology, by opening up the possibility that Christian truth today can be more luminously presented in a discourse influenced by Buddhist analytical methods and ontological insights than in the old frameworks formed in dialogue with Greek ontology.”2Deconstructing substance ontology in the West suggests not only that science is a valuable conversation partner to religion but also that religions be conversation partners with each other. Christians should consider how divine or ultimate reality is manifest in other religions and abandon claims to exclusive truth. As Joseph O’Leary argues,The religions need each other, whatever their utter self-sufficiency on the plane of abstruse theological claims. The religions, as human historical trajectories, are inevitably marked by incompleteness and tragic failures. The tensions between them are not to be suppressed by dogmatic self-affirmation, but to be interpreted as the tension of “truth” itself, making itself felt within the finitude and brokenness of the human language striving to express it.3Truth for the Dalai Lama is “pursued by means of critical investigation,” requiring conversation with modern thought forms as well as both religious and secular Western traditions. If Christian theology is to be relevant today, it must continue to deconstruct the classical metaphysical categories that impede the appreciation of what is possible or true, especially in the encounter with non-Christian and non-Western thought, culture, and religious practice. Interreligious encounter necessitates the questioning of ontotheology, the classical metaphysical logic that refers to the rational basis for naming God, the supreme being, with supreme attributes, such as eternity, immutability, omniscience, and omnipotence. Ontotheology is related to the substance ontologies that describe the relation between God and the world and East and West in terms of dualism that according to Paul Knitter “so stresses the difference between two realities, so separates them... (shrink)

The safety and stability of the power supply system are affected by some faults that often occur in power system. To solve this problem, a criterion algorithm based on the chaotic neural network and a fault detection algorithm based on discrete wavelet transform are proposed in this paper. MATLAB/Simulink is used to establish the system model to output fault signals and travelling wave signals. Db4 wavelet decomposes the travelling wave signals into detail signals and approximate signals, and these signals (...) are combined with the two-terminal travelling wave location method to achieve fault location. And the wavelet detail coefficients are extracted to input to the proposed chaotic neural network. The results show that the criterion algorithm can effectively determine whether there are faults in the power system, the fault detection algorithm has the capabilities of locating the system faults accurately, and both algorithms are not affected by fault type, fault location, fault initial angle, and transition resistance. (shrink)

Expanding Process, Exploring Philosophical and Theological Transformations in China and the West, by John Berthrong, is a model study of processive motifs in Chinese traditions and their contributions to global process-relational philosophy. Process-relational philosophy, which became a full-fledged school of thought in the twentieth century with the works of Alfred North Whitehead and the American Pragmatists, conceives of reality as constant flux. This metaphysical view is opposed to the substance-ontological view, which understands reality as a composition of timeless, (...) class='Hi'>discrete substances, such as Plato's Forms. In working to move process philosophy out of its Whiteheadian and American roots, Berthrong draws out. (shrink)

Brumbaugh divides Western philosophic systems into four families: Platonist, Aristotelian, Democritean, and Anaxagorean. He plots these on a graph with the X-axis designating the method of the system and the Y-axis the direction. Method refers to the system's tendency to employ either dialectical thinking in emphasizing the whole or analysis in emphasizing the parts out of which the whole is constructed. He uses Richard McKeon's terms "holoscopic" for the former, and "meroscopic" for the latter. Direction refers to the system's emphasis (...) on form or matter. The four possible combinations are graphed by Brumbaugh. Both axes are needed, "for the forms of the formalists may be hierarchical and continuous, as Plato's are, or actual only for a discrete set, as are Aristotle's. And the 'matter' of the y direction can be either the hard, insulated particles of Democritus' atomic theory or the continuous flow of Heraclitean process". (shrink)

In special application scenarios, such as portable anesthesia depth monitoring, portable emotional state recognition and portable sleep monitoring, electroencephalogram (EEG) signal acquisition equipment is required to be convenient and easy to use. It is difficult to remove electrooculogram (EOG) artifacts when the number of EEG acquisition channels is small, especially when the number of observed signals is less than that of the source signals, and the overcomplete problem will arise. The independent component analysis (ICA) algorithm commonly used for artifact removal (...) requires the number of basis vectors to be smaller than the dimension of the input data due to a set of standard orthonormal bases learned during the convergence process, so it cannot be used to solve the overcomplete problem. The empirical mode decomposition method decomposes the signal into several independent intrinsic mode functions so that the number of observed signals is more than that of the source signals, solving the overcomplete problem. However, when using this method to solve overcompleteness, the modal aliasing problem will arise, which is caused by abnormal events such as sharp signals, impulse interference, and noise. Aiming at the above problems, we propose a novel EEG artifact removal method based on discrete wavelet transform, complete empirical mode decomposition for adaptive noise (CEEMDAN) and ICA in this paper. First, the input signals are transformed by discrete wavelet (DWT), and then CEEMDAN is used to solve the overcomplete and mode aliasing problems, meeting the a priori conditions of the ICA algorithm. Finally, the components belonging to EOG artifacts are removed according to the sample entropy value of each independent component. Experiments show that this method can effectively remove EOG artifacts while solving the overcomplete and modal aliasing problems. (shrink)

In January 1867 T.H. Green gave a series of Four Lectures on the English Commonwealth to the Edinburgh Philosophical Institute, which were then published, on the testimony of 'competent judges', in the third volume of his Collected Works edited by R.L. Nettleship. Green's family background ensured that he had strong interests in the history of Puritanism and the figure of Oliver Cromwell, and he was thoroughly immersed in many of the political and religious controversies of the later quarter of the (...) nineteenth century. Nevertheless, his assessment of the English Commonwealth as a fruit of the Reformation, rather than as a discrete transformation in political culture, has received relatively little attention in the massive literature devoted to Green's political philosophy. This essay assesses these lectures in order to show their importance for understanding in particular his analysis of freedom. It argues that without an understanding of his account of the origins of modern legal freedom born out of the English Revolution, analyses of Green's theory of freedom remain partial and incomplete. It does so by illustrating in detail the content of the lectures, the intellectual and historical debates in English philosophy and German theology that buttressed his arguments, by locating Green's Lectures within wider accounts of the character of English exceptionalism, and by attempting to examine the political context that helped to structure Green's analysis. (shrink)

L’article se propose, à partir de l’expérience de la construction et de l’exploitation des bases de données dialectales de la BDLC (corse) et du THESOC (occitan), de cerner ce qu’un grand corpus est susceptible d’apporter à la phonologie. La réponse, appuyée sur quelques cas d’espèces, fait intervenir trois niveaux : celui de l’établissement des faits à soumettre à l’analyse, celui de la validation des hypothèses émises, celui de la valeur heuristique des données prises en compte. Les faits aléatoirement rassemblés dans (...) un grand corpus et donc non nécessairement pris en compte dans l’analyse initiale sont en effet de nature à transformer la vision de la clôture du corpus, à confirmer (ou infirmer ce qui, in fine, est aussi important) les hypothèses avancées, à suggérer d’autres solutions aux problèmes rencontrés que celles initialement envisagées. Un des points saillants, en outre, est, au plan théorique, la mise en discussion de la notion d’entité discrète, tant en matière d’unités phonologiques (de type phonème) que d’unités systémiques (de type idiome localisé) tant il est vrai qu’en matière de langue il n’existe qu’un continuum. L’idiolecte est déjà composite, l’idiome local n’est qu’un chaînon dans le continuum aréal. Les unités discrètes constituent donc l’instrument d’analyse incontournable du fait linguistique, une réalité dans la représentation qu’un locuteur a de son système ; mais l’observable est un continuum, un ensemble de cellules perméables les unes aux autres, si c’est bien dans la conscience collective que se trouve (déposée) la langue, conformément au dire saussurien. (shrink)

L’article se propose, à partir de l’expérience de la construction et de l’exploitation des bases de données dialectales de la BDLC (corse) et du THESOC (occitan), de cerner ce qu’un grand corpus est susceptible d’apporter à la phonologie. La réponse, appuyée sur quelques cas d’espèces, fait intervenir trois niveaux : celui de l’établissement des faits à soumettre à l’analyse, celui de la validation des hypothèses émises, celui de la valeur heuristique des données prises en compte. Les faits aléatoirement rassemblés dans (...) un grand corpus et donc non nécessairement pris en compte dans l’analyse initiale sont en effet de nature à transformer la vision de la clôture du corpus, à confirmer (ou infirmer ce qui, in fine, est aussi important) les hypothèses avancées, à suggérer d’autres solutions aux problèmes rencontrés que celles initialement envisagées. Un des points saillants, en outre, est, au plan théorique, la mise en discussion de la notion d’entité discrète, tant en matière d’unités phonologiques (de type phonème) que d’unités systémiques (de type idiome localisé) tant il est vrai qu’en matière de langue il n’existe qu’un continuum. L’idiolecte est déjà composite, l’idiome local n’est qu’un chaînon dans le continuum aréal. Les unités discrètes constituent donc l’instrument d’analyse incontournable du fait linguistique, une réalité dans la représentation qu’un locuteur a de son système ; mais l’observable est un continuum, un ensemble de cellules perméables les unes aux autres, si c’est bien dans la conscience collective que se trouve (déposée) la langue, conformément au dire saussurien. (shrink)

Resources for Feminist Research, Vol. 3, No. 4, pp. 44-45, 1985 In this brief article, written in 1984 and published the following year, Lucinda Vandervort sets out a comprehensive agenda for enforcement of sexual assault laws in Canada. Those familiar with her subsequent writing are aware that the legal implications of the distinction between the “social” and “legal” definitions of sexual assault, identified here as crucial for interpretation and implementation of the law of sexual assault, are analyzed at length in (...) “Mistake of Law and Sexual Assault: Consent and Mens Rea” (1986), published at (1987-88) 2(2) Canadian Journal of Women and the Law, 233 309. In that article the author argued that most mistakes about consent are not mistakes about a “fact” that may sometimes negative mens rea, but are actually mistakes about the law that afford accused no excuse under either Canadian common law or statutory criminal law. She argued further that consent must be interpreted as “voluntary agreement” and must be affirmatively and unequivocally communicated in order to operate as an effective waiver of a person’s legal right to be free from interference with his or her bodily integrity. That article was a central reference point in the consultations leading to the 1992 amendments to the sexual assault provisions in the Canadian Criminal Code and in some key decisions by the Supreme Court of Canada in sexual assault cases in the 1990’s. As a result of a gradual transformation of theoretical analysis of the law of mens rea and consent in Canada, culpable awareness is now understood by many jurists and criminal law theorists quite differently than it was twenty-five years ago. As Vandervort acknowledged in her 1984 Agenda for Action, however, clarity in legal theory and legal doctrine is no guarantee of how sexual assault laws will operate in practice. Theory and practice, doctrine and its implementation, often diverge. This phenomenon is still seen in some decisions taken at the trial, pre-trial, and pre-charge stages in sexual assault cases. Police, prosecutors, and many trial judges, like accused, may often be influenced by traditional attitudes about sexual consent and mistaken about the law of consent. Accordingly, in her recent work Vandervort re-visits and re-examines the exercise of discretion by police, prosecutors, and the judiciary. An example is her 2009 article “Legal Subversion of the Criminal Justice Process? Judicial, Prosecutorial and Police Discretion in R. v. Edmondson, Kindrat and Brown” in Sexual Assault Law, Practice & Activism in a Post-Jane Doe Era, edited by Elizabeth Sheehy (Ottawa: University of Ottawa Press, 2012). In this and some of her other recent work, the distinctions between social and legal norms and questions of fact and law, previously analyzed with the objective of clarifying the law, are used to control the effects of social ignorance and partiality in the handling of sexual assault complaints by decision-makers in the criminal justice system at trial and pre-trial. Lucinda Vandervort’s published and unpublished legal and philosophical writings on sexual assault and sexual assault law illustrate the development of a socio-legal scholar’s “Agenda for Action” into a principled, pragmatic, open-ended exercise in “institutional design.” Across two centuries, from the revolutionary era of the 18th century to the present, other radical egalitarians would recognize both the impetus for the project and many features of the political and cultural resistance to it. (shrink)

Bruno Latour purports to transform political ecology by turning attention away from presumed damages to ‘nature’ and toward unproblematised scientific and social processes through which people and things stabilise their identities. He extends the categories of political representation to those processes in hopes of founding a ‘parliament of things’. Such an assembly would settle the terms of coexistence between people and things without undue deference to scientific knowledge claims and without a priori judgments about nature's value. This article challenges Latour's (...) reliance on the concept of representation on three grounds. First, his theory of subject-object ‘entanglements’ undermines traditional justifications of representation, and offers no convincing ethical limits to put in their place. Second, Latour describes environmental issues in ways that are inconsistent with representation by discrete spokespersons. Third, Latour's open-ended proceduralism provides no way of creating overarching, legitimate norms capable of resolving environmental disputes. Occasionally, however, Latour hints at constitutionally structured reforms that might help overcome these objections – provided that they drew lessons from theories of deliberative democracy. (shrink)

Bruno Latour purports to transform political ecology by turning attention away from presumed damages to ‘nature’ and toward unproblematised scientific and social processes through which people and things stabilise their identities. He extends the categories of political representation to those processes in hopes of founding a ‘parliament of things’. Such an assembly would settle the terms of coexistence between people and things without undue deference to scientific knowledge claims and without a priori judgments about nature's value. This article challenges Latour's (...) reliance on the concept of representation on three grounds. First, his theory of subject-object ‘entanglements’ undermines traditional justifications of representation, and offers no convincing ethical limits to put in their place. Second, Latour describes environmental issues in ways that are inconsistent with representation by discrete spokespersons. Third, Latour's open-ended proceduralism provides no way of creating overarching, legitimate norms capable of resolving environmental disputes. Occasionally, however, Latour hints at constitutionally structured reforms that might help overcome these objections – provided that they drew lessons from theories of deliberative democracy. (shrink)

Two controversial cases in Confucian literature present the demands of filial piety as conflicting with those of impartial justice. Let us call them the Case of Concealment (Analects 18.13) and the Case of Evasion (Mencius 7A53). A dogmatic reading of the texts indicates that both Confucius and Mencius give more weight to filial piety than to justice. This essay, however, provides an alternative reading of the cases: the liberal reading. I argue that the Confucian teachers used the cases as moral (...) dilemmas that force Confucian students to learn how to use a cluster of Confucian virtues, including practical wisdom, discretion, and straight determination, under difficult circumstances. The liberal reading views these moral dilemmas as rhetorical tools; they guide Confucian students in meditative exercises and ultimately transform students’ mode of seeing and being. (shrink)

Schwinger’s algebra of microscopic measurement, with the associated complex field of transformation functions, is shown to provide the foundation for a discrete quantum phase space of known type, equipped with a Wigner function and a star product. Discrete position and momentum variables label points in the phase space, each taking \(N\) distinct values, where \(N\) is any chosen prime number. Because of the direct physical interpretation of the measurement symbols, the phase space structure is thereby related to definite (...) experimental configurations. (shrink)

Inheritance and variation were a major focus of Charles Darwin’s studies. Small inherited variations were at the core of his theory of organic evolution by means of natural selection. He put forward a developmental theory of heredity (pangenesis) based on the assumption of the existence of material hereditary particles. However, unlike his proposition of natural selection as a new mechanism for evolutionary change, Darwin’s highly speculative and contradictory hypotheses on heredity were unfruitful for further research. They attempted to explain many (...) complex biological phenomena at the same time, disregarded the then modern developments in cell theory, and were, moreover, faithful to the widespread conceptions of blending and so-called Lamarckian inheritance. In contrast, Mendel’s approaches, despite the fact that features of his ideas were later not found to be tenable, proved successful as the basis for the development of modern genetics. Mendel took the study of the transmission of traits and its causes (genetics) out of natural history; by reducing complexity to simple particulate models, he transformed it into a scientific field of research. His scientific approach and concept of discrete elements (which later gave rise to the notion of discrete genes) also contributed crucially to the explanation of the existence of stable variations as the basis for natural selection. © Springer Science+Business Media B.V. 2010. (shrink)

Foucault’s disciplinary society and his notion of panopticism are often invoked in discussions regarding electronic surveillance. Against this use of Foucault, I argue that contemporary trends in surveillance technology abstract human bodies from their territorial settings, separating them into a series of discrete flows through what Deleuze will term, the surveillant assemblage. The surveillant assemblage and its product, the socially sorted body, aim less at molding, punishing and controlling the body and more at triggering events of in- and ex-clusion (...) from life opportunities. The meaning of the body as monitored by latest generation vision technologies formed from machine only surveillance has been transformed. Such a body is no longer disciplinary in the Foucauldian sense. It is a virtual/flesh interface broken into discrete data flows whose comparison and breakage generate bodies as both legible and eligible (or illegible). (shrink)

In early 1927, Pascual Jordan published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von Neumann published the modern Hilbert space formalism of quantum mechanics. Central to both formalisms are expressions for conditional probabilities of finding some value for one quantity given the value of another. Beyond that Jordan and von Neumann had very different views about the appropriate formulation of problems in the new (...) theory. For Jordan, unable to let go of the analogy to classical mechanics, the solution of such problems required the identification of sets of canonically conjugate variables, i.e., p’s and q’s. Jordan ran into serious difficulties when he tried to extend his approach from quantities with fully continuous spectra to those with wholly or partly discrete spectra. For von Neumann, not constrained by the analogy to classical physics and aware of the daunting mathematical difficulties facing the approach of Jordan ), the solution of a problem in the new quantum mechanics required only the identification of a maximal set of commuting operators with simultaneous eigenstates. He had no need for p’s and q’s. Related to their disagreement about the appropriate general formalism for the new theory, Jordan and von Neumann stated the characteristic new rules for probabilities in quantum mechanics somewhat differently. Jordan was the first to state those rules in full generality, von Neumann rephrased them and then sought to derive them from more basic considerations. In this paper we reconstruct the central arguments of these 1927 papers by Jordan and von Neumann and of a paper on Jordan’s approach by Hilbert, von Neumann, and Nordheim. We highlight those elements in these papers that bring out the gradual loosening of the ties between the new quantum formalism and classical mechanics. (shrink)

This paper deals with the interrelation between mystique and prophecy in the Christian spirituality. It intends to face dualisms, observed in the past and also in the current Christianity, between these terms. It presents Saint Teresa of Avila’s testimony as a way for overcoming the dichotomy between mystique and prophecy by means of a procedural integration. The foundation for the needed relation between the terms concerned is the existence of Jesus of Nazareth itself, which may be regarded as prophetic-mystic. It (...) means that there’s an interrelation between prayer and action, contemplation and mission. However, the modern and postmodern subject has difficulties in this integration, such as letting himself be transformed by prayer, overcoming the tendency to control and effectiveness. Saint Teresa of Jesus, in this context, is a testimony to mystique and prophecy, mediated by a discretion which goes through daily perceptions. The book Foundations contributes to illustrate this discretion. Keywords : Mystique. Prophecy. Discretion. Saint Teresa of Jesus. Resumo Este artigo trata da inter-relação entre mística e profecia na espiritualidade cristã. Pretende enfrentar dualismos, observados no passado e também no presente do cristianismo, entre esses termos. Apresenta o testemunho de Santa Teresa de Ávila como caminho de superação da dicotomia entre mística e profecia através de uma integração processual. O fundamento da necessária relação entre os termos em questão é a própria existência de Jesus de Nazaré, que pode ser considerada profético-mística. Isso significa que há uma inter-relação entre oração e ação, contemplação e missão. No entanto, o sujeito moderno e pós-moderno apresenta dificuldades nessa integração, como o deixar-se transformar pela oração, superando a tendência ao controle e à eficácia. Santa Teresa de Jesus, nesse contexto, é testemunho de mística e profecia, mediadas por um discernimento que passa por percepções cotidianas. O livro Fundações contribui para ilustrar esse discernimento. Palavras-chave : Mística. Profecia. Discernimento. Santa Teresa de Jesus. (shrink)

The selective synthesis and manipulation of chiral molecules is a major part of stereochemistry. Interactions involving components with “handedness” also occur in nuclear and particle physics. Both fields employ phenomenologies based on group theoretical classifications and symmetry constraints such as the conservation or violation of parity. Smale's discovery of a sphere eversion—homotopic to a central inversion—evades the parity dichotomy by allowing states of opposite chirality to be connected by smooth maps. This transformation demonstrates that parity changes can, in principle, result (...) from the action of sufficiently complex processes, and do not necessarily have to be interpreted as violations of a symmetry. (shrink)

Menary OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems for perceptually estimating numerical quantities are augmented and transformed by interacting with a culturally-enriched environment that provides scaffolds for the acquisition of cognitive practices, leading to the development of a discrete number system for representing number precisely. Numerals and the practices associated with numeral systems play a significant role in this (...) process. However, the details of the relationship between the ancient number system and the discrete number system remain unclear. This lack of clarity is exacerbated by the problem of symbolic estrangement and the fact that unique features of how numeral systems represent require our ancient number system to play a dual role. These issues highlight that Dehaene’s From monkey brain to human brain, MIT Press, Cambridge, pp 133–157, 2005) neuronal recycling hypothesis may be insufficient to explain the neural mechanisms underlying the process of enculturation. In order to explain mathematical enculturation, and enculturation more generally, it may be necessary to adopt Anderson’s :245–266, 2010; After phrenology: neural reuse and the interactive brain, MIT Press, Cambridge, 2014) theory of neural reuse. (shrink)

A fiber bundle constructed over spacetime is used as the basic underlying framework for a differential geometric description of extended hadrons. The bundle has a Cartan connection and possesses the de Sitter groupSO(4, 1) as structural group, operating as a group of motion in a locally defined space of constant curvature (the fiber) characterized by a radius of curvatureR≈10−13 cm related to the strong interactions. A hadronic matter field ω(x, ζ) is defined on the bundle space, withx the spacetime coordinate (...) and ζ varying in the local fiber. The components of a generalized tensor current ℑ μab (M) (x) are introduced, involving a bilinear expression in the fields ω(x, ζ) and ωΔ(x, ζ) integrated over the local fiber at the pointx. This hadronic matter current is considered as a source current for the underlying fiber geometry by coupling it in a gauge-invariant manner to the curvature expressions derived from the bundle connection coefficients, which are associated here with strong interaction effects, i.e., play the role of meson fields induced in the geometry. Studying discrete symmetry transformations between the 16 differently soldered Cartan bundles, a generalized matter-antimatter conjugation Ĉ is established which leaves the basic current-curvature equations Ĉ-invariant. The discrete symmetry transformation Ĉ turns out to be the direct product of an ordinary charge conjugation for the Dirac point-spinor part of ω(x, ζ) and an internal $\hat P\hat T$ transformation applied globally on the bundle to the fiber (i.e., de Sitter) part of ω(x, ζ). (shrink)

This article is devoted to describing results of conceptualization of the idea of mind at the stage of maturity. Delineated the acquisition by the energy system (mind) of stable morphological characteristics, which associated with such a pivotal formation as the discourse. A qualitative structural and ontological sign of the system transition to this stage is the transformation of the verbal morphology of the mind into a discursive one. The analysis of the poststructuralist understanding of discourse in the context of the (...) dispersion of meanings (Foucault) made it possible to formulate a notion of it as a meaning that is constituted by the relation between the discursive practice and the worldview, regarded as a meta-discourse or a global discursive formation. In consequence of this relationship, a discrete and simultaneous scattering of meanings arises, the procedural side of which is a concrete discourse, and its productive aspect is linked with the creation of a local discursive formation. Based on this view it is proposed a logical formula of discourse, which takes into account the entropy of the language and the entropy of the worldview, as a particular manifestation of the mind entropy. Using this formula and considering the reactive nature of discourse, it was developed a classification, which included such types of discourses as reactive, suggestive, synthetic and creative. In turn, the proposed types of discourses are correlated with the specific characteristics of certain activities, as a psychological category. Also, it was considered the translation of the structure of discourse dissipation from the cognitive plan into the affective sphere because of which it is formed a hierarchy of significances, which performs the sense-forming function. It was analyzed the inverse influence of the hierarchy of significances on the structure of meanings dispersion and for respective account it was introduced a conditional coefficient of the value deviation of the significance of the meanings. This parameter reflects the sense correction of the meaning that occurs in the process of the emergence of discourse from discursive practice. Thus, the discourse is presented as a complex dynamic formation of the mind arising at the maturity stage of the system as a result of the combined effect of entropic dispersion of meanings and the value deviation of their significances. (shrink)

Because human cognition is creative and socially situated, knowledge accumulates, diffuses, and gets applied in new contexts, generating cultural analogs of phenomena observed in population genetics such as adaptation and drift. It is therefore commonly thought that elements of culture evolve through natural selection. However, natural selection was proposed to explain how change accumulates despite lack of inheritance of acquired traits, as occurs with template-mediated replication. It cannot accommodate a process with significant retention of acquired or horizontally (e.g. socially) transmitted (...) traits. Moreover, elements of culture cannot be treated as discrete lineages because they constantly interact and influence one another. It is proposed that what evolves through culture is the mind; ideas and artifacts are merely reflections of its current evolved state. Interacting minds transform (in part) through through a non-Darwinian autopoietic process similar to that by which early life evolved, involving not survival of the fittest but actualization of their potential. (shrink)

This paper concludes a special feature of Sustainability Science that explores a broad range of social value theoretical traditions, such as religious studies, social psychology, indigenous knowledge, economics, sociology, and philosophy. We introduce a novel transdisciplinary conceptual framework that revolves around concepts of 'lenses' and 'tensions' to help navigate value diversity. First, we consider the notion of lenses: perspectives on value and valuation along diverse dimensions that describe what values focus on, how their sociality is envisioned, and what epistemic and (...) procedural assumptions are made. We characterise fourteen of such dimensions. This provides a foundation for exploration of seven areas of tension, between: (1) the values of individuals vs collectives; (2) values as discrete and held vs embedded and constructed; (3) value as static or changeable; (4) valuation as descriptive vs normative and transformative; (5) social vs relational values; (6) different rationalities and their relation to value integration; (7) degrees of acknowledgment of the role of power in navigating value conflicts. In doing so, we embrace the 'mess' of diversity, yet also provide a framework to organise this mess and support and encourage active transdisciplinary collaboration. We identify key research areas where such collaborations can be harnessed for sustainability transformation. Here it is crucial to understand how certain social value lenses are privileged over others and build capacity in decision-making for understanding and drawing on multiple value, epistemic and procedural lenses. (shrink)

Federal policies on human subjects research have undergone a progressive transformation. In the early decades of the twentieth century, federal policies largely relied on the discretion of investigators to decide when and how to conduct research. This approach gradually gave way to policies that augmented investigator discretion with externally imposed protections. We may now be entering an era of even more stringent external protections. Whether the new policies effectively absolve investigators of personal responsibility for conducting ethical research, and whether it (...) is wise to do so, remains to be seen. (shrink)

The Heisenberg-Gabor uncertainty principle defines the limits of information resolution in both time and frequency domains. The limit of resolution discloses unique properties of a time series by frequency decomposition. However, classical methods such as Fourier analysis are limited by spectral leakage, particularly in longitudinal data with shifting periodicity or unequal intervals. Wavelet transformation provides a workable compromise by decomposing the signal in both time and frequency through translation and scaling of a basis function followed by correlation or convolution with (...) the original signal. This study aimed to compare the accuracy of predictive models in mental arithmetic in time and frequency domains. Analysis of the author's response time at mental arithmetic using a soroban was modeled for two periods, an initial period, and a return period both separated by an interval of 370 days. The median response times in seconds was longer for all tasks during the TI compared to the TR period, for addition [CTAdd 62 vs 50 s] and summation [CTSum 68 vs 57 s]. Response times were longer for errors regardless of the study period or task. There was an increasing phase difference for the addition and summation tasks during the TI period toward the end of the series 49.65o compared to the TR period where the phase difference between the two tasks was only 2.05o, indicating that both tasks are likely demonstrating similar learning rates during the latter study period. A comparison between time and time/frequency domain forecasts for an additional 100 tasks demonstrated higher accuracy of the maximum overlap discrete wavelet transform model, where the mean absolute percentage error ranged between 5.48 and 8.19% and that for the time domain models [autoregressive integrated moving average, generalized autoregressive conditional heteroscedasticity ] was 6.16–10.80%. (shrink)

Hermann Cohen, as it is well known, criticised the Kantian notion of the thing-in-itself. And before him the Kantian thing-in-itself was criticised by Fichte and other German idealists. Probably for this reason, Hermann Cohen is sometimes regarded as a person who said things similar to Fichte. This gives a completely wrong perspective, making it impossible to understand the philosopher's ideas. The basis for his critique of the Kantian thing-in-itself is quite different from the motives, determining the criticism of Kant in (...) the classical German Idealism. Such interpretation does not allow to see close connection of Cohen's theoretical philosophy with revolution in physics which took place at the turn of the nineteenth and twentieth centuries. The article explains how Cohen's demand that pure thinking must form its own content is connected with transformations taking place in physics and mathematics, and the peculiarity of Cohen's understanding of idealism is demonstrated: for him, correct idealism must realize that autonomous, free thinking should work seriously with sense data. The closeness of Cohen's ideas to the postpositivist thesis of the theory-ladenness of observation is explained. For Cohen, serious work with sense data is opposite to uncritical acceptance of them as given. The origin of scientific thinking is thinking itself. It responds to the challenge of sensory material by creating its own constructs. Mathematized natural science becomes for Cohen both an example and a confirmation of this thesis. For him, what is real is what is described in the language of mathematical analysis, i.e. continuous processes, in spite of the fact that any data are discrete. It is shown that the source of Cohen's assertions on this issue is in Kant's Critique of Pure Reason, namely in the doctrine of the Principles of pure natural science and, more specifically, in the Anticipations of Perception. Cohen's conviction of the constructive character of the theories of mathematized natural science is confirmed in the article by references to the authority of A. Einstein. (shrink)

This paper concludes a special feature of Sustainability Science that explores a broad range of social value theoretical traditions, such as religious studies, social psychology, indigenous knowledge, economics, sociology, and philosophy. We introduce a novel transdisciplinary conceptual framework that revolves around concepts of ‘lenses’ and ‘tensions’ to help navigate value diversity. First, we consider the notion of lenses: perspectives on value and valuation along diverse dimensions that describe what values focus on, how their sociality is envisioned, and what epistemic and (...) procedural assumptions are made. We characterise fourteen of such dimensions. This provides a foundation for exploration of seven areas of tension, between: (1) the values of individuals vs collectives; (2) values as discrete and held vs embedded and constructed; (3) value as static or changeable; (4) valuation as descriptive vs normative and transformative; (5) social vs relational values; (6) different rationalities and their relation to value integration; (7) degrees of acknowledgment of the role of power in navigating value conflicts. In doing so, we embrace the ‘mess’ of diversity, yet also provide a framework to organise this mess and support and encourage active transdisciplinary collaboration. We identify key research areas where such collaborations can be harnessed for sustainability transformation. Here it is crucial to understand how certain social value lenses are privileged over others and build capacity in decision-making for understanding and drawing on multiple value, epistemic and procedural lenses. (shrink)

The paper addresses the problem, which quantum mechanics resolves in fact. Its viewpoint suggests that the crucial link of time and its course is omitted in understanding the problem. The common interpretation underlain by the history of quantum mechanics sees discreteness only on the Plank scale, which is transformed into continuity and even smoothness on the macroscopic scale. That approach is fraught with a series of seeming paradoxes. It suggests that the present mathematical formalism of quantum mechanics is only partly (...) relevant to its problem, which is ostensibly known. The paper accepts just the opposite: The mathematical solution is absolute relevant and serves as an axiomatic base, from which the real and yet hidden problem is deduced. Wave-particle duality, Hilbert space, both probabilistic and many-worlds interpretations of quantum mechanics, quantum information, and the Schrödinger equation are included in that base. The Schrödinger equation is understood as a generalization of the law of energy conservation to past, present, and future moments of time. The deduced real problem of quantum mechanics is: “What is the universal law describing the course of time in any physical change therefore including any mechanical motion?”. (shrink)

The central contention of this article is that the classificatory scheme of contemporary affective science, with its traditional categories of emotion, anger, fear, and so on, is no longer suitable to the needs of affective science. Unlike psychological constructionists, who have urged the transition from a discrete to a dimensional approach in the study of affective phenomena, I argue that we can stick to a discrete approach as long as we accept that traditional emotion categories will have to (...) be transformed in order to do any scientific work. I conclude by articulating some general rules for turning traditional emotion categories into suitable scientific tools. (shrink)

In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry. While the Non-Euclidean Geometries resulted from the total negation of one specific axiom (Euclid’s Fifth Postulate), the AntiGeometry results from the total negation of any axiom or even of more axioms from any geometric axiomatic system (Euclid’s, Hilbert’s, etc.) and from any type of geometry such as (Euclidean, Projective, Finite, Affine, Differential, Algebraic, Complex, Discrete, Computational, Molecular, Convex, etc.) Geometry, and (...) the NeutroGeometry results from the partial negation of one or more axioms [and no total negation of no axiom] from any geometric axiomatic system and from any type of geometry. Generally, instead of a classical geometric Axiom, one may take any classical geometric Theorem from any axiomatic system and from any type of geometry, and transform it by NeutroSophication or AntiSophication into a NeutroTheorem or AntiTheorem respectively in order to construct a NeutroGeometry or AntiGeometry. Therefore, the NeutroGeometry and AntiGeometry are respectively alternatives and generalizations of the Non-Euclidean Geometries. In the second part, we recall the evolution from Paradoxism to Neutrosophy, then to NeutroAlgebra & AntiAlgebra, afterwards to NeutroGeometry & AntiGeometry, and in general to NeutroStructure & AntiStructure that naturally arise in any field of knowledge. At the end, we present applications of many NeutroStructures in our real world. (shrink)

The last decade has seen the transformation of the study of sexuality from a marginalized effort to a fully respected discipline at many major universities. There are numerous publications devoted solely to the topic and queer theory, a force to be reckoned with, has its own celebrities. Nonetheless, queer studies is considered to be the brainchild of the humanities, with the social sciences slowly coming around to apply its principles to empirical research. Long, Slow Burn, a powerful collection of essays (...) by Kath Weston, argues that social science has been talking about sex all along; to deny this one would have to overlook Kinsey's pioneering sex research in the 1950s, or the psychiatrist Evelyn Hooker's pathbreaking study of homosexuality, but also in the "sex talk" that lies at the heart of classic debates on kinship, inequality, cognition, and other foundational topics in the social sciences. What is different now, Weston claims, is the way sexuality has been isolated from other contemporary issues. Long, Slow Burn lays out a radically different approach to the study of sexuality. Not content with its ghettoization as a contained subfield, Weston refuses to draw an artificial line around sexuality. Her essays do not attempt to make sexuality a discrete object of study. Rather, each essay "sexes up" a conventional subject, such as kinship, race or labor, proving that once you start paying attention to sexuality, you can never look at social issues in the same way again. Long, Slow Burn offers an intervention, an attempt to see sexuality as it permeates the multiple fibers of our social fabric. It demonstrates that sexuality has always been a part of the social sciences, but more importantly, is the key to their future. (shrink)