In this paper, I characterize and elaborate on the “Wentaculus” theory, a new approach to time’s arrow in a quantum universe that offers a unified solution to the problems of what gives rise to the arrow of time and what the ontology of quantum mechanics is.

This article seeks to re-evaluate the importance of the political in the thinking of Maurice Merleau-Ponty. The article first shows that Sartre’s description of Merleau-Ponty’s intellectual trajectory as one of increasing political apathy from the 1950s onwards is inaccurate. The article then demonstrates that throughout the post-war period, including in his project for a new ontology, Merleau-Ponty believed that a revised version of Marxism would provide the methodological framework within which philosophical work could address the political challenges of the present. (...) This revised Marxism was to be a direct alternative to the reifying uses of Marx’s thinking. It would rely upon the latter’s self-reflexive historicism, which meant its very failures showed how philosophy might transform itself in connection with its own time. Cet article tente souligner la place du politique dans la pensée de Maurice Merleau-Ponty. On contestera d’abord la description faite par Sartre de sa trajectoire intellectuelle, selon laquelle il aurait fait preuve d’une apathie croissante, à partir des années cinquante, vis-à-vis des questions politiques. On montrera ensuite que durant toute la période d’après-guerre, jusque dans les recherches ontologiques ultimes, Merleau-Ponty a pensé qu’un usage renouvelé du marxisme permettrait au travail philosophique de répondre aux défis politiques du présent. Une telle révision du marxisme représentait une alternative directe aux usages réifiant de la pensée de Marx. Cette révision serait rendue possible par la réflexivité historiciste de cette pensée, qui fait que, dans ses erreurs mêmes, celle-ci révèle la capacité de la philosophie à se transformer au contact de son temps. (shrink)

This book explores Gilles Deleuze's contribution to film theory. According to Deleuze, we have come to live in a universe that could be described as metacinematic. His conception of images implies a new kind of camera consciousness, one that determines our perceptions and sense of selves: aspects of our subjectivities are formed in, for instance, action-images, affection-images and time-images. We live in a matrix of visual culture that is always moving and changing. Each image is always connected to (...) an assemblage of affects and forces. This book presents a model, as well as many concrete examples, of how to work with Deleuze in film theory. It asks questions about the universe as metacinema, subjectivity, violence, feminism, monstrosity, and music. Among the contemporary films it discusses within a Deleuzian framework are Strange Days, Fight Club, and Dancer in the Dark. (shrink)

This work focuses on a multiagent system with time-varying interval uncertainty in the system matrix, where multiple agents interact through an undirected topology graph and only the bounding matrices on the uncertainty in the system matrix are known. A reduced-order interval observer, which is named the reduced-order neighborhood interval observer, is designed to estimate the relative state of each agent and those of its neighbors. It is shown that the reduced-order IO can guarantee the consensus of the (...) uncertain multiagent system. Finally, simulation examples are proposed to verify the theoretical findings. (shrink)

Antje Jackelén's book Time and Eternity is a thorough and carefully presented theology of time and, by its very essence, an incomplete and open thought model because time will always be dynamic and relational. This approach is an excellent example for the dialogue between science and religion because it uses resources not tapped in the dialogue so far: hymn-books stemming from Germany, Sweden, and the English-speaking world published between 1975 and 1995. They are taken as resources for (...) a critical investigation on the meaning and importance of the notion of eternity for the interdisciplinary dialogue, which is characterized not as a synthesis but as holding a beneficial tension, or "eutonia." I suggest that this approach can be taken even further by merging it with a model of time developed by the German mathematician A. M. Klaus Müller: The crossing over of time modes in a relational matrix of time also gives clear insights into the time of God not only as futurum —time as extrapolation of the past and present—but also as adventus —time which is to come. (shrink)

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal (...) coupling model between these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett–Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method. (shrink)

In the contemporary study of religion there seems to be an exaggeration of the distinction between religion and spirituality, not only to the point of separation, but worse still, in terms of a superiority-inferiority hierarchy that gives rise to a value judgement between spirituality and religion. Could this be a sign of the persisting Western hegemony in the study of religion? This article suggests that the consideration of religion and spirituality as disparate entities may be necessary in some societies but (...) not sufficient for a global perspective. Could there be an integrative model that would lend itself for an inclusive exchange in the study of religion and spirituality? Basing itself particularly within the literature of the psychological study of religion, this essay develops a multidimensional matrix of religion and/or spirituality that attempts to be, at the same time, parsimonious and comprehensive, which includes constructs like ‘religious-spirituality’. Religious-spirituality is suggested to be similar to Allport’s concept of ‘intrinsic religiosity’, having a three dimensional movement marked by an upwardly-directed vertical spirituality, inwardly-directed interior spirituality, and outwardly-directed horizontal spirituality. (shrink)

The persistence of doping in professional sports—either by individuals on an isolated basis and by whole teams as part of a systematic doping programme—means that professional sport today is rarely if ever untainted. There are financial incentives in place that incentivise doping and there are data that show that doping is often a systematic, organised enterprise. The main question to be answered today in professional sports is whether doping’s repressive anti-doping policies do not have greater negative consequences for society. Whilst (...) some have suggested legitimising safe doping under medical control, in this paper, I argue that doing so will do little to prevent clandestine use of dangerous performance-enhancing substances, and suggest an alternative solution to lifting the ban on doping, i.e. starting from extending liability for doping in sport beyond athletes to those holding power and authority over athletes, to changing winning incentives for doping, to making sport sustainable in the longer time by devising ways of providing athletes with a steady income which is not linked to record breaking or sponsorships. (shrink)

The range of research on value issues is quite wide today. The transition from understanding values as a philosophical category to a psychological interpretation of the nature of values has led to the emergence of many trends and psychological concepts of value problems. In this study, we will reveal the main modern views of researchers on the essence of the value-semantic matrix of both an individual and the entire world community. The modern socio-economic situation in the world is characterized (...) by an almost permanent crisis state both in the social, and in the spiritual, cultural sphere, which is due to the existence of the consequences of the epidemic situation in the world. Based on this, the problem of teaching the dynamics of the value-semantic matrix, its development and changes under the influence of personality crises of various origins, both external ones caused by the social situation in the country, the impact of new information technologies, and internal ones, caused by growing up, growth, psychological development personality in time and space. Therefore, the purpose of this work is to conduct a theoretical study of the value-semantic sphere as a system that undergoes changes during the crisis periods of a person's life and to investigate the main deformations that have taken place in the Mind of existence of today's post-pandemic reality. (shrink)

Kant's concept of time forms an integral part of his mature system of transcendental idealism. That system is a critical response to his predecessors' treatments of time and related issues. Hence, a proper assessment of Kant's understanding of time requires an elaboration of its distinctive historical and systematic matrix. The aim of the dissertation is to examine critically Kant's mature conception of time in light of both the historical factors that shaped it and the role (...) it plays in Kant's doctrine of transcendental idealism. ;The most important discussion shaping Kant's thought on time is the Leibniz-Clarke Correspondence . The relevance of the Correspondence to Kant's mature view of time has, however, been overlooked by many commentators. The reason for this neglect can be traced in part to a misinterpretation of the question underlying the first antinomy in Kant's Critique of Pure Reason . According to that misinterpretation, the first antinomy revolves around the question whether time itself is finite or infinite. The correction of this mistaken, but common interpretation paves the way for a main task of this dissertation, namely, to reconstruct with historical and systematic accuracy the relation between the issue in the Correspondence underlying the first antinomy and Kant's concept of time. ;The dissertation is divided into four chapters. Chapter One examines the particular issue discussed in the Correspondence which had the greatest impact on Kant's notion of time, namely, the question whether time is absolute, as Clarke and the Newtonians held, or whether it is relational, as Leibniz held. Chapter Two explores how the concept of time in Kant's "Inaugural Dissertation" is influenced by this dispute between Leibniz and Clarke. Chapter Three considers the concept of time and its role in Kant's fully developed transcendental idealism, as articulated in the Critique of Pure Reason. Particular attention is paid to the "Transcendental Aesthetic" and the first antinomy. Finally, Chapter Four critically examines a central assumption of Kant's concept of time that he shares with his predecessors: the infinity of time. It is argued that this assumption overlooks the metaphysical significance of the "moving" present. (shrink)

What is the quantum state of the universe? Although there have been several interesting suggestions, the question remains open. In this paper, I consider a natural choice for the universal quantum state arising from the Past Hypothesis, a boundary condition that accounts for the time-asymmetry of the universe. The natural choice is given not by a wave function but by a density matrix. I begin by classifying quantum theories into two types: theories with a fundamental wave function and (...) theories with a fundamental density matrix. The Past Hypothesis is compatible with infinitely many initial wave functions, none of which seems to be particularly natural. However, once we turn to density matrices, the Past Hypothesis provides a natural choice---the normalized projection onto the Past Hypothesis subspace in the Hilbert space. Nevertheless, the two types of theories can be empirically equivalent. To provide a concrete understanding of the empirical equivalence, I provide a novel subsystem analysis in the context of Bohmian theories. Given the empirical equivalence, it seems empirically underdetermined whether the universe is in a pure state or a mixed state. Finally, I discuss some theoretical payoffs of the density-matrix theories and present some open problems for future research. (Bibliographic note: the thesis was submitted for the Master of Science in mathematics at Rutgers University.). (shrink)

In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are (...) two sources of randomness in such a universe: the quantum-mechanical probabilities of the Born rule and the statistical mechanical probabilities of the Statistical Postulate. I propose a new way to understand time's arrow in a quantum universe. It is based on what I call the Thermodynamic Theories of Quantum Mechanics. According to this perspective, there is a natural choice for the initial quantum state of the universe, which is given by not a wave function but by a density matrix. The density matrix plays a microscopic role: it appears in the fundamental dynamical equations of those theories. The density matrix also plays a macroscopic / thermodynamic role: it is exactly the projection operator onto the Past Hypothesis subspace. Thus, given an initial subspace, we obtain a unique choice of the initial density matrix. I call this property "the conditional uniqueness" of the initial quantum state. The conditional uniqueness provides a new and general strategy to eliminate statistical mechanical probabilities in the fundamental physical theories, by which we can reduce the two sources of randomness to only the quantum mechanical one. I also explore the idea of an absolutely unique initial quantum state, in a way that might realize Penrose's idea of a strongly deterministic universe. (shrink)

This paper defends the idea that Cassirer's methodology is idealistic in regard to validity claims and the structuralist views he holds and at the same time empiric in regard to the facts and genealogy of culture. This perspective is best to be unfolded along Cassirer's model of representation. The author does so by showing that Cassirer's triad of symbolic articulation (expressive, presentational, significative) and the triad of symbolic development (mimetic, analogical, symbolic) form a coherent and exhaustive theory of symbolic (...) formation. In order to defend this view, two main objections from the secondary literature against the consistency of this essential theory piece of The Philosophy of Symbolic Forms have to be rejected. (shrink)

Longitudinal diagnostic classification models (DCMs) with hierarchical attributes can characterize learning trajectories in terms of the transition between attribute profiles for formative assessment. A longitudinal DCM for hierarchical attributes was proposed by imposing model constraints on the transition DCM. To facilitate the applications of longitudinal DCMs, this paper explored the critical topic of the Q-matrix design with a simulation study. The results suggest that including the transpose of the R-matrix in the Q-matrix improved the classification accuracy; ten-item (...) tests measuring three linear attributes across three time points provided satisfactory classification accuracy for low-stakes assessment. Educational implications and future directions were discussed. (shrink)

In a quantum universe with a strong arrow of time, we postulate a low-entropy boundary condition to account for the temporal asymmetry. In this paper, I show that the Past Hypothesis also contains enough information to simplify the quantum ontology and define a unique initial condition in such a world. First, I introduce Density Matrix Realism, the thesis that the quantum universe is described by a fundamental density matrix that represents something objective. This stands in sharp contrast (...) to Wave Function Realism, the thesis that the quantum universe is described by a wave function that represents something objective. Second, I suggest that the Past Hypothesis is sufficient to determine a unique and simple density matrix. This is achieved by what I call the Initial Projection Hypothesis: the initial density matrix of the universe is the normalized projection onto the special low-dimensional Hilbert space. Third, because the initial quantum state is unique and simple, we have a strong case for the \emph{Nomological Thesis}: the initial quantum state of the universe is on a par with laws of nature. This new package of ideas has several interesting implications, including on the harmony between statistical mechanics and quantum mechanics, the dynamic unity of the universe and the subsystems, and the alleged conflict between Humean supervenience and quantum entanglement. (shrink)

This paper interrogates Hölderlin's effort to deconstruct the speculative matrix of tragedy, with a particular focus on his "Remarks on Antigone," which are appended to his translation of the Sophoclean tragedy. In focus are, firstly, the separative force of the caesura, which stems tragic transport and is here analyzed, in terms of Hölderlin's understanding of Greece in relation to "Hesperia," as an incipiently Hesperian poetic gesture. Secondly, Hölderlin's key thought of the mutual "unfaithfulness" of God and man is at (...) issue: the god here is revealed as sheer time, while man is thrown back upon the bare moment. This "unfaithfulness" must be tempered by a striving that turns back from the quest for transcendence to the measures of fmitude and to this world. By attentiveness to the singular (which is not the particular), the tragic poet, unlike the speculative philosopher, reveals time's agonal spacing. (shrink)

Implementing the key functions, any company is faced with issues related to the formation and analysis of the range of goods, products, services. Regardless of the field of activity, enterprises need to analyze each product line separately in order to make timely adjustments to the product range policy, which directly affects the economic efficiency of the enterprise as a whole. The purpose of the study is to reveal the content of matrix methods of assortment analysis. The article deals with (...) the concepts of "assortment", "product assortment", their meaning and impact on the company's activities; matrix methods: BKG matrix; Dibb-Simkin matrix; Markon matrix. The scientific novelty lies in the author's interpretation of the comparative characteristics of these methods, summarized in a tabular form, allowing enterprises to choose the optimal method when analyzing assortment positions in real business conditions. (shrink)

In this revolutionary work, the author sets the stage for the science of the 21st Century, pursuing an unprecedented synthesis of fields previously considered unrelated. Beginning with simple classical concepts, he ends with a complex multidisciplinary theory requiring a high level of abstraction. The work progresses across the sciences in several multidisciplinary directions: Mathematical logic, fundamental physics, computer science and the theory of intelligence. Extraordinarily enough, the author breaks new ground in all these fields. In the field of fundamental physics (...) the author reaches the revolutionary conclusion that physics can be viewed and studied as logic in a fundamental sense, as compared with Einstein's view of physics as space-time geometry. This opens new, exciting prospects for the study of fundamental interactions. A formulation of logic in terms of matrix operators and logic vector spaces allows the author to tackle for the first time the intractable problem of cognition in a scientific manner. In the same way as the findings of Heisenberg and Dirac in the 1930s provided a conceptual and mathematical foundation for quantum physics, matrix operator logic supports an important breakthrough in the study of the physics of the mind, which is interpreted as a fractal of quantum mechanics. Introducing a concept of logic quantum numbers, the author concludes that the problem of logic and the intelligence code in general can be effectively formulated as eigenvalue problems similar to those of theoretical physics. With this important leap forward in the study of the mechanism of mind, the author concludes that the latter cannot be fully understood either within classical or quantum notions. A higher-order covariant theory is required to accommodate the fundamental effect of high-level intelligence. The landmark results obtained by the author will have implications and repercussions for the very foundations of science as a whole. Moreover, Stern's Matrix Logic is suitable for a broad spectrum of practical applications in contemporary technologies. (shrink)

In this paper, we present a deterministic time discrete mathematical model based on multiregional periodic matrices to describe the dynamics of Sardina pilchardus in the Central Atlantic area of the Moroccan coast. This model deals with two stages (immature and mature) and three spatial zones where sardines are supposed to migrate from one zone to another. The population dynamics is described by an autonomous recurrence equation N(t + 1) = A.N(t), where A is a positive matrix whose entries (...) are estimated using data collected during biannual acoustic surveys carried out from 2001 to 2003 onboard the Norwegian research vessel “Dr Fridtjof Nansen”. The dominant eigenvalue λ of A that gives the long-term growth rate of fish population is smaller than one. This agrees with the stock decrease observed in the data collected. We show that λ is highly sensitive to the recruitment rate and much less sensitive to the reproduction rate. These results can clearly be used to define an efficient scenario in order to fight for instance against a stock decrease. (shrink)

The objective of this article is to investigate the perceptual experience of a mediated temporality as it pertains to the structure and iteration of the narrative matrix. It examines the construction of the internal narrative assembled from disparate points of media production and distribution fictionalized into codified sequences through the operational stages of figuration and the subsequent iteration. The article will consider the syntagmatic and the paradigmatic within the narrative matrix of the Arab Spring, and the subsequent breakdown (...) of the chronological and mimetic activity. […] time becomes human to the extent that it is articulated through a narrative mode, and narrative attains its full meaning when it becomes a condition of temporal experience. (shrink)

This article argues that by recognizing the fundamental relationship between praxical time and dwelling as a matrix of interweaving modes of being, society can subvert the potential reification of humanity by technology. This can only be achieved through a democratic process that involves participatory agents not only at the design level but also in the event of naming future innovations. By looking at the work of Alain Badiou, it is shown how a fusion of Heideggerian-inspired phenomenology and speculative (...) ontology is critical for the advancement of social theory, as revolutionary technologies become increasingly immersive. (shrink)

The current WSN is vulnerable to a variety of malicious attacks, resulting in the decline of its comprehensive performance. Multihop routing involves a number of safety and privacy issues. Problems such as snooping, sinkhole, manipulation, cloning, wormhole, spoofing, and so on affect the integrity, availability, and confidentiality of the WSNs. Therefore, this paper mainly studies the mathematical modeling of WSN multiattack behavior discrimination based on the incidence matrix. The WSN node model is used to collect relevant data and mark (...) and map the disguised data, so as to determine the characteristics of multiattack behavior and establish the WSN multiattack behavior discrimination model based on the incidence matrix. The experimental results show that the designed multiattack behavior discrimination model can distinguish the attack type according to the characteristics, has high recognition ability, can spend a short time to effectively distinguish the attack behavior, has a low false positive rate, and can effectively improve the antiattack ability of the WSN. (shrink)

Using matrix iterations of ccc posets, we prove the consistency with ZFC of some cases where the cardinals on the right hand side of Cichon’s diagram take two or three arbitrary values (two regular values, the third one with uncountable cofinality). Also, mixing this with the techniques in J Symb Log 56(3):795–810, 1991, we can prove that it is consistent with ZFC to assign, at the same time, several arbitrary regular values on the left hand side of Cichon’s (...) diagram. (shrink)

BackgroundInformed consent forms for clinical research are several and variable at international, national and local levels. According to the literature, they are often unclear and poorly understood by participants. Within the H2020 project CORBEL—Coordinated Research Infrastructures Building Enduring Life-science Services—clinical researchers, researchers in ethical, social, and legal issues, experts in planning and management of clinical studies, clinicians, researchers in citizen involvement and public engagement worked together to provide a minimum set of requirements for informed consent in clinical studies.MethodsThe template was (...) based on a literature review including systematic reviews and guidelines searched on PubMed, Embase, Cochrane Library, NICE, SIGN, GIN, and Clearinghouse databases, and on comparison of templates gathered through an extensive search on the websites of research institutes, national and international agencies, and international initiatives. We discussed the draft versions step-by-step and then we referred to it as the “matrix” to underline its modular character and indicate that it allows adaptation to the context in which it will be used. The matrix was revised by representatives of two international patient groups.ResultsThe matrix covers the process of ensuring that the appropriate information, context and setting are provided so that the participant can give truly informed consent. It addresses the key topics and proposes wording on how to clarify the meaning of placebo and of non-inferiority studies, the importance of individual participants’ data sharing, and the impossibility of knowing in advance how the data might be used in future studies. Finally, it presents general suggestions on wording, format, and length of the information sheet.ConclusionsThe matrix underlines the importance of improving the process of communication, its proper conditions (space, time, setting), and addresses the participants’ lack of knowledge on how clinical research is conducted. It can be easily applied to a specific setting and could be a useful tool to identify the appropriate informed consent format for any study. The matrix is mainly intended to support multicentre interventional randomized clinical studies, but several suggestions also apply to non-interventional research. (shrink)

The two-component spinor theory of van der Waerden is put into a convenient matrix notation. The mathematical relations among various types of matrices and the rule for forming covariant expressions are developed. Relativistic equations of classical mechanics and electricity and magnetism are expressed in this notation. In this formulation the distinction between time and space coordinates in the four-dimensional space-time continuum falls out naturally from the assumption that a four-vector is represented by a Hermitian matrix. The (...) indefinite metric of tensor analysis is a derived result rather than an arbitrary ad hoc assumption. The relation to four-component spinor theory is also discussed. (shrink)

The concept of time emerges as an ordering structure in a classical statistical ensemble. Probability distributions p τ (t) at a given time t obtain by integrating out the past and future. We discuss all-time probability distributions that realize a unitary time evolution as described by rotations of the real wave function $q_{\tau}(t)=\pm \sqrt{p_{\tau}(t)}$ . We establish a map to quantum physics and the Schrödinger equation. Suitable classical observables are mapped to quantum operators. The non-commutativity of (...) the operator product is traced back to the incomplete statistics of the local-time subsystem. Our investigation of classical statistics is based on two-level observables that take the values one or zero. Then the wave functions can be mapped to elements of a Grassmann algebra. Quantum field theories for fermions arise naturally from our formulation of probabilistic time. (shrink)

IN ONE of the last seminars of his life, Heidegger remarks that just as Hegel was trying to lay the definitive foundation of the modern age, so was his friend Hölderlin trying to break through the ground of the age in order to inaugurate a step beyond modernity. For this reason, Heidegger clearly regards the poet as more radical than the philosopher. Without trying myself to assess the validity of this contrast, I shall take it as a clue and argue (...) that each was attempting to discover, and to build a time-design that could do justice to his epoch and respond to the experience of its historical destiny. The question that concerns this essay is just how Hegel construed and constructed such a philosophical designing of the time, and while important texts for this topic are thematized in his earlier writings and in his subsequent lectures, the central text must be the Phenomenology of Spirit. The aim of this discussion therefore is to determine the time-sense of the Phenomenology of Spirit and its phenomenology of Time, and to draw in other texts insofar as they illumine its matrix. (shrink)

We deal with the design problem of nonfragile state estimator for discrete-time genetic regulatory networks with time-varying delays and randomly occurring uncertainties. In particular, the norm-bounded uncertainties enter into the GRNs in random ways in order to reflect the characteristic of the modelling errors, and the so-called randomly occurring uncertainties are characterized by certain mutually independent random variables obeying the Bernoulli distribution. The focus of the paper is on developing a new nonfragile state estimation method to estimate the (...) concentrations of the mRNA and the protein for considered uncertain delayed GRNs, where the randomly occurring estimator gain perturbations are allowed. By constructing a Lyapunov-Krasovskii functional, a delay-dependent criterion is obtained in terms of linear matrix inequalities by properly using the discrete-time Wirtinger-based inequality and reciprocally convex combination approach as well as the free-weighting matrix method. It is shown that the proposed method ensures that the estimation error dynamics is globally asymptotically stable and the desired estimator parameter is designed via the solutions to certain LMIs. Finally, we provide two numerical examples to illustrate the feasibility and validity of the proposed estimation results. (shrink)

In today’s era of rapid development in science and technology, the development of digital technology has increasingly higher requirements for data processing functions. The matrix signal commonly used in engineering applications also puts forward higher requirements for processing speed. The eigenvalues of the matrix represent many characteristics of the matrix. Its mathematical meaning represents the expansion of the inherent vector, and its physical meaning represents the spectrum of vibration. The eigenvalue of a matrix is the focus (...) of matrix theory. The problem of matrix eigenvalues is widely used in many research fields such as physics, chemistry, and biology. A neural network is a neuron model constructed by imitating biological neural networks. Since it was proposed, the application research of its typical models, such as recurrent neural networks and cellular neural networks, has become a new hot spot. With the emergence of deep neural network theory, scholars continue to combine deep neural networks to calculate matrix eigenvalues. This article aims to study the estimation and application of matrix eigenvalues based on deep neural networks. This article introduces the related methods of matrix eigenvalue estimation based on deep neural networks, and also designs experiments to compare the time of matrix eigenvalue estimation methods based on deep neural networks and traditional algorithms. It was found that under the serial algorithm, the algorithm based on the deep neural network reduced the calculation time by about 7% compared with the traditional algorithm, and under the parallel algorithm, the calculation time was reduced by about 17%. Experiments are also designed to calculate matrix eigenvalues with Obj and recurrent neural networks (RNNS) models, which proves that the Oja algorithm is only suitable for calculating the maximum eigenvalues of non-negative matrices, while RNNS is commonly used in general models. (shrink)

Human life is finite. Given that lifetime is necessarily limited, the experience of time in any given society is a central ethical problem. If all or most of human lifetime is consumed by routine tasks then human beings are dominated by the socially determined experience of time. This article first examines time as the fundamental existential framework of human life. It then goes on to explore the determination of time today by the ruling value system that (...) underlies advanced capitalist society. It concludes that the equation ‘time is money’ rules the contemporary experience of time, and goes on to argue that this experience deprives those who live under this ruling value system of a central requirement of free human life: the experience of time as an open matrix of possibilities for action. (shrink)

In this paper, we present a deterministic time discrete mathematical model based on multiregional periodic matrices to describe the dynamics of Sardina pilchardus in the Central Atlantic area of the Moroccan coast. This model deals with two stages (immature and mature) and three spatial zones where sardines are supposed to migrate from one zone to another. The population dynamics is described by an autonomous recurrence equation N ( t + 1) = A . N ( t ), where A (...) is a positive matrix whose entries are estimated using data collected during biannual acoustic surveys carried out from 2001 to 2003 onboard the Norwegian research vessel “Dr Fridtjof Nansen”. The dominant eigenvalue λ of A that gives the long-term growth rate of fish population is smaller than one. This agrees with the stock decrease observed in the data collected. We show that λ is highly sensitive to the recruitment rate and much less sensitive to the reproduction rate. These results can clearly be used to define an efficient scenario in order to fight for instance against a stock decrease. (shrink)

This study aimed to explore practices and strategies that have successfully reduced time-to-proficiency of the workforce in large multinational organisations and develop a model based on them. The central research question of this study was: How can organisations accelerate time-to-proficiency of employees in the workplace? The study addressed three aspects: the meaning of accelerated proficiency, as seen by business leaders; the business factors driving the need for shorter time-to-proficiency and benefits accrued from it; and practices and strategies (...) to shorten time-to-proficiency of the workforce. 85 participants (n=85) from 7 countries who represented 10 economic sectors, 20 business sectors and 28 industry groups contributed 66 successful bounded project cases. A qualitative research approach was used. Data were collected through in-depth interviews with project leaders and by collecting additional project case documents. Data were analysed using thematic analysis to identify the themes in the data. Matrix analysis was then used to perform within-case and cross-case analysis to compare the project cases. 11 overarching themes were developed from the data analysis, out of which two overarching themes explained the characteristics of job-role proficiency and accelerated proficiency, while three overarching themes described the magnituide and scale of time-to-proficiency business problem, business drivers for accelerating proficiency and business benefits of reduced time-to-proficiency. Six overarching themes revealed the business practices employed by organisations to reduce time-to-proficiency: (1) Defining business-driven proficiency measures in terms of expected business outcomes from a job role; (2) Developing a proficiency reference map of all the inputs, conditions and roadblocks that determine or influence how required business outcomes are being produced in a job role; (3) Sequencing an efficient proficiency path of activities and experiences ordered to produce the desired business outcomes in the shortest possible time; (4) Manufacturing accelerated contextual experiences by leveraging on-the-job opportunities or training interventions in a compressed time-frame; (5) Promoting an active emotional immersion through engagements, consequences, stakes, feedback and proficiency assessments; and (6) Setting up a proficiency eco-system, providing timely support to performers while doing the job such as enabling job environment, highly involved manager, structured mentoring from experts, purposeful social connectivity with peers, leveraging subject matter experts and on-demand performance support systems. Organisations orchestrated these six business practices as an input-output-feedback system to reduce time-to-proficiency of the workforce. A conceptual model (Accelerated Proficiency Model) was developed representing interactions among six business-level practices/processes as a closed-loop system to explain the concept and process of accelerated proficiency in the workplace. These practices were implemented through a set of twenty-four strategies proven successful in various contexts. The strategies employed were much beyond the boundaries of conventional training interventions. The job itself acted as the primary mechanism to accelerate proficiency. A two-level hierarchical framework (6/24 framework of strategies) was also constructed in the form of a checklist consisting of six practices and twenty-four strategies for practitioners. Overall, the findings of this research study contribute significantly to the body of knowledge on accelerated proficiency. In particular, the conceptual model and the framework developed in this study can be implemented across a range of contexts, business sectors, job types and settings to reduce time-to-proficiency of the workforce. (shrink)

BackgroundWhether and how to disclose genomic findings obtained in the course of genomic clinical practice and medical research has been a controversial global bioethical issue over the past two decades. Although several recommendations and judgment tools for the disclosure of genomic findings have been proposed, none are sufficiently systematic or inclusive or even consistent with each other. In order to approach the disclosure/non-disclosure practice in an ethical manner, optimal and easy-to-use tools for supporting the judgment of physicians/researchers in genomic medicine (...) are necessary.MethodsThe bioethics literature on this topic was analyzed to parse and deconstruct the somewhat overlapping and therefore ill-defined key concepts of genomic findings, such as incidental, primary, secondary, and other findings. Based on the deconstruction and conceptual analyses of these findings, we then defined key parameters from which to identify the strength of duty to disclose (SDD) for a genomic finding. These analyses were then applied to develop a framework with the SDD matrix and systematic decision-making pathways for the disclosure of genomic findings.ResultsThe following six major parameters (axes), along with sub-axes, were identified: Axis 1 (settings and institutions where findings emerge); Axis 2 (presence or absence of intention and anticipatability in discovery); Axis 3 (maximal actionability at the time of discovery); Axis 4 (net medical importance); Axis 5 (expertise of treating physician/researcher); and Axis 6 (preferences of individual patients/research subjects for disclosure). For Axes 1 to 4, a colored SDD matrix for genomic findings was developed in which levels of obligation for disclosing a finding can be categorized. For Axes 5 and 6, systematic decision-making pathways were developed via the SDD matrix.ConclusionWe analyzed the SDD of genomic findings and developed subsequent systematic decision-making pathways of whether and how to disclose genomic findings to patients/research subjects and their relatives in an ethical manner. Our comprehensive framework may help physicians and researchers in genomic medicine make consistent ethical judgments regarding the disclosure of genomic findings. (shrink)

Matrix and line develops a social theory using the work of Jacques Derrida as its philosophical basis. In particular, notions of differance, writing, textuality, margin, dissemination, gramme, and others are integrated into the project of formulating a new language of politics. At the same time, the study is focused on the politics in/of language. ;The question of language is at the heart of this study. In the central chapter I argue that, although Habermas is correct to orient social (...) theory toward language, his approach to language is, in my view, not correct. In formulating the alternative, Heidegger, and from analytic philosophy, Donald Davidson, are important contributors in addition to Derrida. ;There are a number of other important engagements in the dissertation, most prominently with Marxist thinkers. However, the study remains focused on what can be developed within the Derridean framework, instead of developing a general response to Marxism. ;The theory addresses postmodern society and culture and is, in that sense, "postmodern." However, postmodernity is theorized as an historical impasse, in which the link between history and memory is severed. Memory is progressively devalued and destroyed. This devaluation is the result of a secularism at the end of its tether. A writerly, participatory approach to society becomes nearly impossible in this context. The notion of "postsecularism" is counterposed to this postmodern hyper-secularism. The prime concern is to develop a new sense of community, one that textually recovers some of the presecular community values , and some of the key achievements of the Enlightenment, and some of the new possibilities that have been generated by the crisis of modernity. (shrink)

Husserl’s commitment to reality is marked by the urgency to return, or rather to a repeated return each time the objective is achieved . He explains this explicitly in The Crisis of European Sciences and Transcendental Phenomenology, taking his cue from Descartes’ Meditations . Reduction, which is the exact name for re- turn, means change of attitude, abandonment of the natural position as naive . Jan Patočka notes in this regard, that today people who have experienced modern sci- ence (...) no longer simply live in the naive natural world . The naive natural world is in- terpreted under species of the mathematical model . So, the gap between meaning as an expectation of experience and meaning within the framework of the model is increasingly evident . If intentionality, according to Husserl and disciples, includ- ing Heidegger, cannot be other than the idea itself, then it is just a something for something . It’s like giving voice to one thing and not another . Commitment to life (Husserl’s Lebenswelt) requires a return to corporeality, as Patočka adds, following Maine de Biran’s accurate insight, that is, of something immediately given, prior to any perceptual experience . The term “matrix” in the title brings to mind the eponymous 1999 film based on the philosophical metaphor of Plato’s cave in the fashion of the digital age . The protagonist, Neo, finds himself living for a long time in the lack of support of reality, precisely because of distrust: something is wrong, and this can only be felt . However, how can the hacker mentality help you under- stand that perhaps it is but a game? (shrink)

Interval time-varying delay is common in control process, e.g., automatic robot control system, and its stability analysis is of great significance to ensure the reliable control of industrial processes. In order to improve the conservation of the existing robust stability analysis method, this paper considers a class of linear systems with norm-bounded uncertainty and interval time-varying delay as the research object. Less conservative robust stability criterion is put forward based on augmented Lyapunov-Krasovskii functional method and reciprocally convex combination. (...) Firstly, the delay interval is partitioned into multiple equidistant subintervals, and a new Lyapunov-Krasovskii functional comprising quadruple-integral term is introduced for each subinterval. Secondly, a novel delay-dependent stability criterion in terms of linear matrix inequalities is given by less conservative Wirtinger-based integral inequality approach. Three numerical comparative examples are given to verify the superiority of the proposed approach in reducing the conservation of conclusion. For the first example about closed-loop control systems with interval time-varying delays, the proposed robust stability criterion could get MADB about 0.3 more than the best results in the previous literature; and, for two other uncertain systems with interval time-varying delays, the MADB results obtained by the proposed method are better than those in the previous literature by about 0.045 and 0.054, respectively. All the example results obtained in this paper clearly show that our approach is better than other existing methods. (shrink)

The problem of finite-time stability of switched genetic regulatory networks with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated (...) by numerical results. (shrink)

Although a large literature demonstrates that object‐extracted relative clauses (ORCs) are harder to process than subject‐extracted relative clauses (SRCs), there is less agreement regarding where during processing this difficulty emerges, as well as how best to explain these effects. An eye‐tracking study by Staub, Dillon, and Clifton (2017) demonstrated that readers experience more processing difficulty at the matrix verb for ORCs than for SRCs when the matrix verb immediately follows the relative clause (RC), but the difficulty is eliminated (...) if a prepositional phrase (PP) intervenes. A careful examination of Staub et al.’s materials reveals that the types of PPs used in the experiment were a mixture of locative and temporal PPs. This is important in that locative PPs can modify either a noun phrase or a verb phrase (VP), whereas temporal PPs typically modify VPs, resulting in systematic differences in PP attachment across ORCs versus SRCs. In the current eye‐tracking experiment, we systematically manipulated RC type and PP type in the same sentences used by Staub et al. The manipulation of PP type resulted in a crossover pattern at the matrix verb such that there was a trend for reading times to be longer for ORCs than SRCs when the PP was locative, but reading times were longer for SRCs than ORCs when the PP was temporal. These results provide important information regarding the locus of RC‐processing effects and highlight the importance of carefully considering how intervening material might unintentionally alter the structure or the meaning of a sentence. (shrink)

In this paper, the stability of switched neural networks with interval parameter uncertainties and time delays is investigated. First, the conditions for the existence and uniqueness of the equilibrium point of the system are discussed. Second, the average dwell time approach and M-matrix property are employed to obtain conditions to ensure the globally exponential stability of the delayed SNNs under constrained switching. Third, by resorting to inequality technique and the idea of vector Lyapunov function, sufficient condition to (...) ensure the robust exponential stability of the delayed SNNs under arbitrary switching is derived. The form of the constructed Lyapunov functions is simple, which has certain commonality in studying delayed SNNs, and the proposed results not only are explicit but also reveal the relationship between the constrained switching and the arbitrary switching of the SNNs. Finally, two numerical examples are presented to illustrate the effectiveness and less conservativeness of the main results compared with the existing literature. (shrink)

In this pioneering work, the author develops a fundamental formulation of logic in terms of theory of matrices and vector spaces. The discovery of matrix logic represents a landmark in the further formalization of logic. For the first time the power of direct mathematical computation is applied to the whole set of logic operations, allowing the derivation of both the classical and modal logics from the same formal base. The new formalism allows the author to enlarge the alphabet (...) of the truth-values with negative logic antivalues and to link matrix logic descriptions with the Dirac formulation of quantum theory - a result having fundamental implications and repercussions for science as a whole. As a unified language which permits a logical examination of the underlying phenomena of quantum field theory and vice versa, matrix logic opens new avenues for the study of fundamental interactions and gives rise to a revolutionary conclusion that physics as such can be viewed and studied as a logic in the fundamental sense. Finally, modelling itself on exact sciences, matrix logic does not refute the classical logic but instead incorporates it as a special deterministic limit. The book requires multidisciplinary knowledge and will be of interest to physicists, mathematicians, computer scientists and engineers. (shrink)

One of the major philosophical problems in physical sciences is what criteria should determine how scientific theories are selected and justified in practice and whether, in describing observable physical phenomena, such theories are effectively constrained to be unique. This book studies the example of a particular theory, the S-matrix theory. The S-matrix program was initiated by Heisenberg to deal with difficulties encountered in quantum field theories in describing particular phenomena. Since then, each theory has at different times been (...) favored as the explanation of observed phenomena. Certainly the S-matrix theory was adequate, feasible and fertile. However, the quantum field theory interpretation is now widely accepted and the study of alternative theories is all but abandoned. By examining the philosophy which influenced the turns in this story, the author explains how an adequate and viable theory fell out of favor and concludes with a critique of different methodologies in the history of science. (shrink)

The ethical matrix approach was developed by Prof Ben Mepham and his colleagues at the University of Nottingham in the early 1990s. Since then the approach has received increasing attention and has been used by several researchers in different projects related to assessing ethical impacts of different food production technologies and other policy options of societal concern. The ethical matrix is sometimes understood simply as a checklist of ethical concerns, but might also be seen as a guide to (...) coming to conclusions on moral questions. The problem I discuss in this paper relates to how using the ethical matrix method as a decision guide can be combined with respecting pluralism. The aim of the paper is to suggest a framework making it possible to – at the same time – enhance public justification of judgments and respect pluralism. I argue that pluralism is fundamental to the ethical matrix approach; I distinguish between intuitionist principled pluralism and societal value pluralism; and I show how both kinds of pluralism imply restrictions on how conclusions can be made. No substantive moral decision principles can be allowed. Still, I argue, decision principles of a more epistemological or procedural character can be acceptable even within pluralism. The pragmatist principle of inquiry is defended as an account of moral problem solving compatible with both principled pluralism and value pluralism. When an ethical matrix is used within such a participatory inquiry process substantive conclusions can be drawn. (shrink)

A formulation of relativistic quantum mechanics is presented independent of the theory of Hilbert space and also independent of the hypothesis of spacetime manifold. A hierarchy is established in the nondistributive lattice of physical ensembles, and it is shown that the projections relating different members of the hierarchy form a semigroup. It is shown how to develop a statistical theory based on the definition of a statistical operator. Involutions defined on the matrix representations of the semigroup are interpreted in (...) terms ofCPT conjugations. The theory of particles of spin one-half and systems with higher spin is developed from first principles. Methods are also developed for defining energy, momentum, orbital angular momentum, and weighted spacetime coordinates without reference to a manifold. (shrink)

In its enunciation of “We the people,” the Constitution of the United States of America becomes a constitution of the flesh as it simultaneously invokes a constitution, a nation and a people. Correspondingly, its amendments as a list of rights pertaining to sex and race discrimination, and freedoms of bodily movement and action, assert the Constitution’s authority through the evocation of “natural” human bodies. In this article, I explore the way in which a sovereignty of the United States’ Constitution is (...) realised in the particularlised bodies of its citizens. The fundamental and foundational laws of the United States, and the narratives and myths used to interpret them, are in part rendered legitimate by the Constitution’s embodiment, which extends from its physical manifestation in written documents into the flesh of its citizens. In order to make this argument, I turn to the film The Matrix (1999), the success of which relies on an investment in bodies and the United States’ Constitution as matter through its interwoven narrative themes of human slavery and emancipation, reality and computer-generated simulation. At the same time, The Matrix extends its ideological play into the bodies of its audience, who experience the film’s thrillingly sensorial fantasies of constitutional rights while enjoying its affective special effects. Thus, the sovereign authority of United States constitutional law is experienced as “natural” through the phenomenological experience of cinema. (shrink)

The motor modules during human walking are identified using non-negative matrix factorization from surface electromyography signals. The extraction of motor modules in healthy participants is affected by the change in pre-processing of EMG signals, such as low-pass filters ; however, the effect of different pre-processing methods, such as the number of necessary gait cycles in post-stroke patients with varying steps, remains unknown. We aimed to specify that the number of GCs influenced the motor modules extracted in the consideration of (...) LPFs in post-stroke patients. In total, 10 chronic post-stroke patients walked at a self-selected speed on an overground walkway, while EMG signals were recorded from the eight muscles of paretic lower limb. To verify the number of GCs, five GC conditions were set, namely, 25, 20, 15, 10, and 5 gate cycles with three LPFs. First, the number of modules, variability accounted for, and muscle weightings extracted by the NNMF algorithm were compared between the conditions. Next, a modified NNMF algorithm, in which the activation timing profiles among different GCs were unified, was performed to compare the muscle weightings more robustly between GCs. The number of motor modules was not significantly different, regardless of the GCs. The difference in VAF and muscle weightings in the different GCs decreased with the LPF of 4 Hz. Muscle weightings in 15 GCs or less were significantly different from those in 25 GCs using the modified NNMF. Therefore, we concluded that the variability extracted motor modules by different GCs was suppressed with lower LPFs; however, 20 GCs were needed for more representative extraction of motor modules during walking in post-stroke patients. (shrink)

Understanding "miracles" -- The matrix -- Knowing what you really want -- Getting into the details -- Taking action -- Expedited delivery -- The time of your life.

It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov (...) constructed spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is Ockhamized, with most of the fluff removed. As developed nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix $diag$, the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and \emph{values} of the fields involved. Apart from coordinate order and the usual spinorial two-valuedness, Ogievetsky-Polubarinov spinors form, with the metric, a nonlinear geometric object, for which important results on Lie and covariant differentiation are recalled. Such spinors avoid a spurious absolute object in the Anderson-Friedman analysis of substantive general covariance. They also permit the gauge-invariant localization of the infinite-component gravitational energy in General Relativity. Density-weighted spinors exploit the conformal invariance of the massless Dirac equation to show that the volume element is absent. Thus instead of an arbitrary nonsingular matrix with 16 components, 6 of which are gauged away by a new local $O$ gauge group and one of which is irrelevant due to conformal covariance, one can, and presumably should, use density-weighted Ogievetsky-Polubarinov spinors coupled to the 9-component symmetric square root of the part of the metric that fixes null cones. Thus $\frac{7}{16}$ of the orthonormal basis is eliminated as surplus structure. Greater unity between spinors and tensors and the like is achieved, such as regarding conservation laws. Regarding the conventionality of simultaneity, an unusually wide range of $\epsilon$ values is admissible, but some extreme values are inadmissible. Standard simultaneity uniquely makes the spinor transformation law linear and independent of the metric, because transformations among the standard Cartesian coordinate systems fall within the conformal group, for which the spinor transformation law is linear. The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Philosophers of Nothingness: An Essay on the Kyoto School, and: A Buddhist-Christian Logic of the Heart: Nishida's Kyoto School and Lonergan's "Spiritual Genome" as World BridgeAmos YongPhilosophers of Nothingness: An Essay on the Kyoto School. By James W. Heisig. Honolulu: University of Hawai'i Press, 2001. xi + 380 pp.A Buddhist-Christian Logic of the Heart: Nishida's Kyoto School and Lonergan's "Spiritual Genome" as World Bridge. By John Raymaker. Lanham, (...) MD: University Press of America, 2002. x + 214 pp.These are two very different types of books. Heisig, research fellow (since 1978) and former director (1999-2001) of the Nanzan Institute for Religion and Culture and well known to readers of this journal as author, book editor, and translator extraordinaire, [End Page 271] has produced the definitive exposition of the Kyoto School in the English language with Philosophers of Nothingness. Raymaker, a longtime Roman Catholic missionary to Japan and student of Lonergan's work, attempts in A Buddhist-Christian Logic of the Heart to establish points of contact between Lonergan's transcendental method and Nishida's pure experience. Let me briefly summarize the two volumes before making some comparative observations.Philosophers of Nothingness is divided into five sections: an "Orientation" (introduction) and a "Prospectus" (transitional epilogue) flanking the three sections on Nishida, Tanabe, and Nishitani, each constituting approximately twenty short chapters. In each case, Heisig combines intellectual biography and history of ideas approaches, thus both setting forth the wider social, political, and intellectual contexts of the Kyoto School thinkers and elaborating on their distinctive ideas. Those interested in the latter will not be disappointed. Nishida's "pure experience," "active intuition," "absolutely contradictory self-identity," "logic of locus" (or basho, topos, place), and "historical world," among other themes, are all given special attention within the broader framework of his philosophical project. In the case of Tanabe, unique concepts such as "absolute mediation," "logic of species," and "metanoetic philosophy" (or philosophy of repentance) are illuminated. And, of course, the contributions of Nishitani are fully represented: "nihilism," "the standpoint of emptiness," and the sunyata of time and history.At the same time, those looking for background discussion will also find Heisig's exposition helpful, and that along (at least) the following three lines. First, an attempt is made to take seriously the self-understanding of Kyoto School thinkers of doing philosophy in the world context. This is, of course, a bold undertaking which some in our time might summarily dismiss either as hubris or as ignorance. Yet beginning with Nishida and continuing through Tanabe, Nishitani and others (such as Tanabe's student, Abe Masao), the task was to engage as Japanese philosophers with Western thinkers and ideas. Here, of course, the tension between particularity and universality is most intense, and the Kyoto philosophers proceeded with full awareness of the issues at stake. Now while their endeavors can be criticized from either direction, what cannot be criticized without self-refutation is their motivating belief that they could understand the West and vice versa.Second, and connected with the first, is the social and political twentieth-century context of Japan and its relationship with modernity and with the Western world. Here, Heisig brilliantly negotiates between laying out the facts and locating the passions and failures of the Kyoto philosophers. This requires that he correctly identify their contributions as Japanese thinkers engaging modernity without ignoring their blind spots. As such, longstanding questions concerning Kyoto School philosophy as an ideology for Japanese nationalism are confronted head-on. Heisig shows how political naīvete resulted in political entanglements. At the same time, his discussion illuminates the sociopolitical backdrop that informs and shapes all philosophizing. The result is a balanced presentation that is neither apologetic on the one side nor condemnatory on the other.Finally, the question of religion and its relationship to Kyoto School philosophy [End Page 272] is also taken up. Nishida's practice of zazen is thus shown to inform his philosophizing, if only implicitly (on Nishida's own account), even while Tanabe's experience of metanoia (conversion) as mediated through the "Other-power" matrix of Shinran's religious thought is shown to impact his philosophy explicitly... (shrink)

In this paper I am concerned with analyzing in detail how ideas and expectations regarding the role of time in quantum theory arose and evolved in the early years of quantum mechanics. The general theme is that expectations which seemed reasonable from the point of view of matrix mechanics and Dirac's q-number formalism became implausible in light of Dirac-Jordan transformation theory, and were dashed by von Neumann's Hilbert space formalism which came to replace it. Nonetheless, I will identify (...) two concerns that remain relevant today, and which blunt the force of Hilgevoord's claim that the demand that time feature as an observable arose as the result of a simple conceptual error. (shrink)