Résumé Et toi, quel est ton genre? Les Betty, intellectuelles précaires, partageant un désir militant, critiques tant vis-à-vis des groupes féministes historiques, que des pratiques politiques au sein du mouvement des mouvements, nous racontent leur création d’un espace, le "sexishock" au cœur même d’un centre social à Bologne.

The Matrix presents a version of an old philosophical fable: the brain in a vat. A disembodied brain is floating in a vat, inside a scientist’s laboratory. The scientist has arranged that the brain will be stimulated with the same sort of inputs that a normal embodied brain receives. To do this, the brain is connected to a giant computer simulation of a world. The simulation determines which inputs the brain receives. When the brain produces outputs, these are fed (...) back into the simulation. The internal state of the brain is just like that of a normal brain, despite the fact that it lacks a body. From the brain’s point of view, things seem very much as they seem to you and me. (shrink)

We clarify different definitions of the density matrix by proposing the use of different names, the full density matrix for a single-closed quantum system, the compressed density matrix for the averaged single molecule state from an ensemble of molecules, and the reduced density matrix for a part of an entangled quantum system, respectively. We show that ensembles with the same compressed density matrix can be physically distinguished by observing fluctuations of various observables. This is in (...) contrast to a general belief that ensembles with the same compressed density matrix are identical. Explicit expression for the fluctuation of an observable in a specified ensemble is given. We have discussed the nature of nuclear magnetic resonance quantum computing. We show that the conclusion that there is no quantum entanglement in the current nuclear magnetic resonance quantum computing experiment is based on the unjustified belief that ensembles having the same compressed density matrix are identical physically. Related issues in quantum communication are also discussed. (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)

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)

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.

Intrigued by Robinson and Southgate's 2010 work on “entering a semiotic matrix,” we expand their model to include the juxtaposition of all signs, symbols, and mental categories, and to explore the underpinnings of creativity in science, religion, and art. We rely on an interdisciplinary review of human sentience in archaeology, evolutionary biology, the cognitive science of religion, and literature, and speculate on the development of sentience in response to strong selection pressure on the hominin evolutionary line, leaving us the (...) “lone survivors” of complex, multiple lines of physical and cultural evolution. What we call Matrix Thinking—the creative driver of human sentience—has important cognitive and intellectual features, but also equally important characteristics traced to our intense sociability and use of emotionality in vetting rational models. Scientist, theologian, and artist create new cultural knowledge within a social context even if alone. They are rewarded by emotional validation from group members, and guided by the ever present question, “Does it feel right?”. (shrink)

The matrix notation of paper I is extended to include first-rank spinors expressed as two-component spin-vectors. Well-known two-component and four-component spinor equations are expressed in this notation. In addition, it is shown how other covariant wave equations can easily be invented. A certain nonlinear equation is found to have only positive-energy solutions for particles and antiparticles.

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)

The matrix‐degrading metalloproteinases are an intriguing family of enzymes that have evolved to digest specific extracellular matrix components. The expression of these enzymes is very highly regulated and can be controlled transcriptionally by a number of growth factors, tumor promoters, oncogenes, and hormones. It is suggested that the coordinated regulation of matrix metalloproteinases and their inhibitors by these agents modify the integrity of the extracellular matrix. These modifications may, at least in part, be responsible for mediating (...) the effects of these factors on complex physiological processes. (shrink)

We present a matrix model for the study of the population dynamics of brown trout Salmo trutta L., introduced in the '60s in the virgin aquatic ecosystems of the Kerguelen Islands. This species clearly acclimatized very well: a portion of the population became migratory and spent a part of its life cycle in the sea, which allowed the rapid colonization of two rivers close to the stream of origin in the same bay (Baie Norvégienne).These migratory trout can become a (...) smolt at 2, 3, or 4 years of age. The model takes into account age and smolt age structures and in a first step considers the fish from the Baie Norvégienne as belonging to a single population. The transition matrix looks like a 32 × 32 Leslie matrix in which some survival rates are not on the subdiagonal. They represent survival after the first sea migration and are particularly important for the dynamics of the whole population. (shrink)

Drawing on 75 semi-structured qualitative interviews with Arab, South Asian, and Black Muslim women social justice activists, ages 18–30 years, organizing in the United States and the United Kingdom, I theorize their experiences as the basis of the matrix of gendered Islamophobia. Building upon Jasmine Zine’s concept of gendered Islamophobia, I synthesize this concept with Patricia Hill Collins’s theory of the matrix of domination to give a more in-depth and nuanced structure of how gendered Islamophobia operates and is (...) resisted by Muslim women activists. This article identifies the overlapping configurations of power that affect Muslim women’s lives through structural, disciplinary, hegemonic, and interpersonal domains, countering reductionist accounts of Islamophobia as a universalized, unvariegated social force impacting all Muslims in similar ways. Instead, the matrix of gendered Islamophobia locates Islamophobia within shifting axes of oppression that are simultaneously structured along the lines of gender, race, class, sexuality, and citizenship. The findings of this research reveal a dialectical relationship between Muslim women’s oppression and simultaneous contestation of gendered Islamophobia via their collective remaking of alternative ideas, politics, discourses, and organizing practices. (shrink)

The paper offers a matrix-based logic (relevant matrix quantum physics) for propositions which seems suitable as an underlying logic for empirical sciences and especially for quantum physics. This logic is motivated by two criteria which serve to clean derivations of classical logic from superfluous redundancies and uninformative complexities. It distinguishes those valid derivations (inferences) of classical logic which contain superfluous redundancies and complexities and are in this sense from those which are or in the sense of allowing only (...) the most informative consequences in the derivations. The latter derivations are strictly valid in RMQ, whereas the former are only materially valid. RMQ is a decidable matrix calculus which possesses a semantics and has the finite model property. It is shown in the paper how RMQ by its strictly valid derivations can avoid the difficulties with commensurability, distributivity, and Bell's inequalities when it is applied to quantum physics. (shrink)

A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger's 1926 proof, a myth. Schrödinger supposedly failed to prove isomorphism, or even a weaker equivalence (“Schrödinger-equivalence”) of the mathematical structures of the two theories; developments in the early 1930s, especially the work of mathematician von Neumann provided sound proof of mathematical equivalence. The alleged agreement about the Copenhagen Interpretation, predicated to a large (...) extent on this equivalence, was deemed a myth as well. In response, I argue that Schrödinger's proof concerned primarily a domain-specific ontological equivalence, rather than the isomorphism or a weaker mathematical equivalence. It stemmed initially from the agreement of the eigenvalues of Wave Mechanics and energy-states of Bohr's Model that was discovered and published by Schrödinger in his first and second communications of 1926. Schrödinger demonstrated in this proof that the laws of motion arrived at by the method of Matrix Mechanics are satisfied by assigning the auxiliary role to eigenfunctions in the derivation of matrices (while he only outlined the reversed derivation of eigenfunctions from Matrix Mechanics, which was necessary for the proof of both isomorphism and Schrödinger-equivalence of the two theories). This result was intended to demonstrate the domain-specific ontological equivalence of Matrix Mechanics and Wave Mechanics, with respect to the domain of Bohr's atom. And although the mathematical equivalence of the theories did not seem out of the reach of existing theories and methods, Schrödinger never intended to fully explore such a possibility in his proof paper. In a further development of Quantum Mechanics, Bohr's complementarity and Copenhagen Interpretation captured a more substantial convergence of the subsequently revised (in light of the experimental results) Wave and Matrix Mechanics. -/- I argue that both the equivalence and Copenhagen Interpretation can be deemed myths if one predicates the philosophical and historical analysis on a narrow model of physical theory which disregards its historical context, and focuses exclusively on its formal aspects and the exploration of the logical models supposedly implicit in it. -/- . (shrink)

Realism about quantum theory naturally leads to realism about the quantum state of the universe. It leaves open whether it is a pure state represented by a wave function, or an impure (mixed) one represented by a density matrix. I characterize and elaborate on Density Matrix Realism, the thesis that the universal quantum state is objective but can be impure. To clarify the thesis, I compare it with Wave Function Realism, explain the conditions under which they are empirically (...) equivalent, consider two generalizations of Density Matrix Realism, and answer some frequently asked questions. I end by highlighting an implication for scientific realism. (shrink)

If the density matrix is treated as an objective description of individual systems, it may become possible to attribute the same objective significance to statistical mechanical properties, such as entropy or temperature, as to properties such as mass or energy. It is shown that the de Broglie--Bohm interpretation of quantum theory can be consistently applied to density matrices as a description of individual systems. The resultant trajectories are examined for the case of the delayed choice interferometer, for which Bell (...) [Int. J. Quantum chem. 155--159, (1980)] appears to suggest that such an interpretation is not possible. Bell’s argument is shown to be based upon a different understanding of the density matrix to that proposed here. (shrink)

We propose a rational method for addressing an important question—who deserves to be an author of a scientific article? We review various contentious issues associated with this question and recommend that the scientific community should view authorship in terms of contributions and responsibilities, rather than credits. We propose a new paradigm that conceptually divides a scientific article into four basic elements: ideas, work, writing, and stewardship. We employ these four fundamental elements to modify the well-known International Committee of Medical Journal (...) Editors (ICMJE) authorship guidelines. The modified ICMJE guidelines are then used as the basis to develop an approach to quantify individual contributions and responsibilities in multi-author articles. The outcome of the approach is an authorship matrix, which can be used to answer several nagging questions related to authorship. (shrink)

The Ethical Matrix was developed to help decision-makers explore the ethical issues raised by agri-food biotechnologies. Over the decade since its inception the Ethical Matrix has been used by a number of organizations and the philosophical basis of the framework has been discussed and analyzed extensively. The role of tools such as the Ethical Matrix in public policy decision-making has received increasing attention. In order to further develop the methodological aspects of the Ethical Matrix method, work (...) was carried out to study the potential role of the Ethical Matrix as a decision support framework. When considering which frameworks to apply when analyzing the ethical dimensions of the application of agri-food biotechnologies, it is important to clarify the substantive nature of any prospective framework. In order to further investigate this issue, reflections on the neologism “ethical soundness” of an ethical framework are presented here. This concept is introduced in order to provide more structured evaluations of a range of ethical tools, including ethical frameworks such as the Ethical Matrix. As well as examining the philosophical dimensions of the method, theoretical analysis and literature studies were combined with stakeholder engagement exercises and consultations in order to review the Ethical Matrix from a user perspective. This work resulted in the development of an Ethical Matrix Manual, which is intended to act as a guide for potential user groups. (shrink)

'The Matrix Project' comprises two contexts, namely photographic work of architect Thierry Lagrange and the self-reflective trajectory that he developed during his doctorate at KULeuven. Lagrange's practice-based research developed to an autonomous artistic project, in which he studied the signification and nature of observation within a creative process. Through his multifaceted practice as an architect, photographer and researcher, Lagrange developed 'The Matrix Method'; a method that stimulates creativity within different contexts and can be implemented for example in art (...) education. For the Matrix Project, 25 years' worth of photographs was entered into a context of research and presents a new perspective on different ways of seeing in our present visual culture. (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)

Character structures underlie everyone’s personality. When rigidly defended, they limit us; yet as they become more flexible, they can reveal sources of animation, renewal and authenticity. _The Matrix and Meaning of Character_ guides the reader into an awareness of the archetypal depths that underlie character structures, presenting an original developmental model in which current analytic theories are synthesised. The authors examine nine character structures, animating them with fairy tales, mythic images and case material, creating a bridge between the traditional (...) language of psychopathology and the universal realm of image and symbol. This book will appeal to all analytical psychologists, psychoanalysts and psychotherapists who want to strengthen their clinical expertise. It will help clinicians to extend their clinical insights beyond a strictly behavioural, medical or cognitive approach, revealing the potential of the human spirit. (shrink)

Two experiments used eyetracking during reading to examine the processing of the matrix verb following object and subject relative clauses. The experiments show that the processing of the matrix verb following an object relative is indeed slowed compared to the processing of the same verb following a subject relative. However, this difficulty is entirely eliminated if additional material intervenes between the object gap and the matrix verb. An explanation in terms of spillover processing is ruled out, suggesting (...) that it is the gap-matrix verb sequence that is itself responsible for the difficulty. We consider two accounts of this difficulty, one emphasizing the potential difficulty of rapidly switching between the sentential subject's thematic or syntactic role in the embedded clause and its role in the matrix clause, and one emphasizing the potential difficulty of performing two demanding memory retrievals in rapid succession. The present experiments also closely replicate the previous findings from eyetracking that the noun phrase and the verb within an object relative are both loci of processing difficulty, but that the former induces substantially greater difficulty. (shrink)

Taking metaphysics in its aristotelian sense to mean the investigation of being qua being, The author contends that its "matrix" (its place of origin, Field of operations, And continuing and ultimate point of reference) is everyday life, Characterized by its practical or existential inescapability. He then examines the charge that the truths of metaphysics illegitimately claim to be both necessary and factual, And argues in response that the objection rests upon a confusion of the character of one's intentional instrument (...) (the sentence or proposition) with that of the object intended. (staff). (shrink)

_The Matrix_ Written and directed by Andy and Larry Wachowski Village Roadshow Pictures, 1999.

The basic concepts appropriate for anS matrix theory for classical nonlinear physics are formulated here. These concepts are illustrated by a discussion of shock wave diffraction patterns. Other information concerning solutions of non-linear conservation laws is surveyed, so that a coherent picture of this theory can be seen. Within thisS matrix framework, a number of open problems as well as a few solved ones will be discussed.

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)

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)

In metazoans, the extracellular matrix (ECM) provides a dynamic, heterogeneous microenvironment that has important supportive and instructive roles. Although the primary site of action of ECM proteins is extracellular, evidence is emerging for non‐canonical intracellular roles. Examples include osteopontin, thrombospondins, IGF‐binding protein 3 and biglycan, and relate to roles in transcription, cell‐stress responses, autophagy and cancer. These findings pose conceptual problems on how proteins signalled for secretion can be routed to the cytosol or nucleus, or can function in environments (...) with diverse redox, pH and ionic conditions. We review evidence for intracellular locations and functions of ECM proteins, and current knowledge of the mechanisms by which they may enter intracellular compartments. We evaluate the experimental methods that are appropriate to obtain rigorous evidence for intracellular localisation and function. Better insight into this under‐researched topic is needed to decipher the complete spectrum of physiological and pathological roles of ECM proteins. -/- . (shrink)

It is shown that the matrix models which give non-perturbative definitions of string and M theory may be interpreted as non-local hidden variables theories in which the quantum observables are the eigenvalues of the matrices while their entries are the non-local hidden variables. This is shown by studying the bosonic matrix model at finite temperature, with T taken to scale as 1/N, with N the rank of the matrices. For large N the eigenvalues of the matrices undergo Brownian (...) motion due to the interaction of the diagonal elements with the off diagonal elements, giving rise to a diffusion constant that remains finite as N goes to infinity. The resulting probability density and current for the eigenvalues are then found to evolve in agreement with the Schroedinger equation, to leading order in 1/N, with hbar proportional to the thermal diffusion constant for the eigenvalues. The quantum uctuations and uncertainties in the eigenvalues are then consequences of ordinary statistical uctuations in the values of the off-diagonal matrix elements. Furthermore, this formulation of the quantum theory is background independent, as the definition of the thermal ensemble makes no use of a particular classical solution. The derivation relies on Nelson's stochastic formulation of quantum theory, which is expressed in terms of a variational principle. (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 Matrix_ Written and directed by Andy and Larry Wachowski (Village Roadshow Pictures, 1999.

The science-fiction film The Matrix generated a great deal of philosophical interest. There are already three collections of philosophical papers either published or in the pipeline devoted to the film . Here, Colin McGinn takes a closer look at the film and comes up with some rather surprising conclusions.

A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger’s 1926 proof, a myth. Schrödinger supposedly failed to achieve the goal of proving isomorphism of the mathematical structures of the two theories, while only later developments in the early 1930s, especially the work of mathematician John von Neumman (1932) provided sound proof of equivalence. The alleged agreement about the Copenhagen Interpretation, predicated to (...) a large extent on this equivalence, was deemed a myth as well. If such analysis is correct, it provides considerable evidence that, in its critical moments, the foundations of scientific practice might not live up to the minimal standards of rigor, as such standards are established in the practice of logic, mathematics, and mathematical physics, thereby prompting one to question the rationality of the practice of physics. In response, I argue that Schrödinger’s proof concerned primarily a domain-specific ontological equivalence, rather than the isomorphism. It stemmed initially from the agreement of the eigenvalues of Wave Mechanics and energy-states of Bohr’s Model that was discovered and published by Schrödinger in his First and Second Communications of 1926. Schrödinger demonstrated in this proof that the laws of motion arrived at by the method of Matrix Mechanics could be derived successfully from eigenfunctions as well (while he only outlined the reversed derivation of eigenfunctions from Matrix Mechanics, which was necessary for the proof of isomorphism of the two theories). This result was intended to demonstrate the domain-specific ontological equivalence of Matrix Mechanics and Wave Mechanics, with respect to the domain of Bohr’s atom. And although the full-fledged mathematico-logical equivalence of the theories did not seem out of the reach of existing theories and methods, Schrödinger never intended to fully explore such a possibility in his proof paper. In a further development of Quantum Mechanics, Bohr’s complementarity and Copenhagen Interpretation captured a more substantial convergence of the subsequently revised (in light of the experimental results) Wave and Matrix Mechanics. I argue that both the equivalence and Copenhagen Interpretation can be deemed myths if one predicates the philosophical and historical analysis on a narrow model of physical theory which disregards its historical context, and focuses exclusively on its formal aspects and the exploration of the logical models supposedly implicit in it. (shrink)

Motivated by a question of W. Rautenberg, we prove that any matrix that is term-equivalent to the well-known nonfinitely based matrix of A. Wroski is itself also nonfinitely based.

We provide a logical matrix semantics and a Gentzen-style sequent calculus for the first-degree entailments valid in W. T. Parry’s logic of Analytic Implication. We achieve the former by introducing a logical matrix closely related to that inducing paracomplete weak Kleene logic, and the latter by presenting a calculus where the initial sequents and the left and right rules for negation are subject to linguistic constraints.

Referential matrix semantics of R. W´ojcicki [5] and [4] is extended to cover the class of all structural propositional calculi.

У статті досліджено феномен появи та функціонування штучної релігії матрицизму, що виникла у фан-спільноті фільму «Матриця», розглянуто постмодерний «текучий» спосіб буття цієї релігії та досліджено паралелі з джедайством. Але коли джедайство було адаптацією до реальності штучної релігії, вигаданої для сюжету фільму «Зоряні війни», та поширилося у великих фан-спільнотах, то матрицизм натомість уникає масовізації. Проаналізовано догматику матрицизму – першої штучної релігії на основі кінематографічного сюжету, яка спробувала стати езотеричною і якій, схоже, це вдалося, навіть враховуючи складності для приховування своєї діяльності у (...) сучасному мережевому суспільстві. Першою з релігій, що постали з популярного кінематографу, матрицизм проголошує таїнством вживання психоделіків, які подосі зостаються забороненими в більшості країн, і вже цим суттєво вирізняється серед штучних релігій. Висунуто гіпотезу про створення матрицизму дискордіанцями, чи, принаймні, людьми, які добре знають цю релігію, оскільки глибше порівняння цих двох штучних релігій показує багато спільних рис, постулатів, збіжність аксіологічних настанов. Серед іншого, відзначено попит на якісно розроблені та максимально реалістичні релігії з боку кінематографу, що, на нашу думку, призведе до створення подібних продуманих і якісних релігій у майбутньому. У матрицизмі виразно простежується зв’язок з важливими буддистськими, індуїстськими ідеями, зокрема з концепцією майї як ілюзії, яка стає на заваді пізнанню реальності, яка, в суто постмодерністському баченні сприймається як багатошарова. У філософсько-релігійний синтез матрицизму увійшли ідеї гностицизму, зокрема його бачення Творця як обмеженого та недосконалого, та віри бахаї, у якій матрицисти знаходять першу згадку концепції матриці. В сюжетах фільмів «Матриці» для увиразнення цієї концепції використано потужні можливості, які з’явилися в комп’ютерну епоху, досягнення технокультури. Мотив самопізнання тут також має буддистсько-гностичне підґрунтя. Як і більшість шкіл буддизму, матрицизм не прагне поширювати своє вчення, та претендує на езотеричність. Функціонування штучної релігії кінематографічного, тобто поп-культурного походження, яка прокламує езотеричну онтологію є новим для релігій такого походження. Наголошено деякі теоретичні проблеми, які цей рух, як і ряд подібних, постулюють для релігієзнавства вже самим фактом свого існування. Зокрема, важливо розуміти підстави, з огляду на які дискримінують подібні феномени. Складною є і проблема рецепції таких явищ дослідниками-релігієзнавцями. Адже тут кінофільм, явище масової культури, жанр переважно розважальний, використовується як сакральний текст. Для пояснення феномену варто залучати концепцію гіперреальності та гіпертексту, тим більш що сама релігія має виразно текстове походження. Очевидним видається вплив філософії, аксіології та естетики постмодернізму з його релятивізмом та відмовою від ієрархізації й пошуку єдино правильної абсолютної істини. Для матрицизму має значення саме прагнення до трансценденції та пошуку вищих смислів. Матрицизм підтверджує розвиток явища, яке пов’язували насамперед із джедайством: штучні релігії, створені кінематографом, можуть продовжувати функціонувати у реальному світі. Тож секуляризація може інтерпретуватися не як зникнення релігій, а як видозміна виявів релігійності у світі, де різношаровість і відносність реальності має все більше значення. Для всебічного осмислення таких процесів потрібна співпраця релігієзнавців із культурологами та мистецтвознавцями. (shrink)

Moral theology: tradition and prospects -- Purpose, reason and action -- The process of practical reasoning -- How to evaluate good and bad actions -- Actions, dispositions and character -- The reality of sin -- Conversion to Christ -- God's will and God's law -- Virtues: moral dispositions for acting well -- Wisdom in action -- Justice -- Fortitude -- Self-control -- Faith -- Love -- Hope.