In this paper we describe an experimental test of the validity of the Pauli Exclusion Principle (for electrons) which is based on a straightforward idea put forward a few years ago by Ramberg and Snow (Phys. Lett. B 238:438, 1990). We perform a very accurate search of X-rays from the Pauli-forbidden atomic transitions of electrons in the already filled 1S shells of copper atoms. Although the experiment has a very simple structure, it poses deep conceptual and interpretational problems. Here we (...) describe the experimental method and recent experimental results, which we interpret in the framework of quon theory. We also present future plans to upgrade the experimental apparatus using Silicon Drift Detectors. (shrink)

In the first author's thesis [10], a sequential language, LRT, for real number computation is investigated. That thesis includes a proof that all polynomials are programmable, but that work comes short of giving a complete characterization of the expressive power of the language even for first-order functions. The technical problem is that LRT is non-deterministic. So a natural characterization of its expressive power should be in terms of relations rather than in terms of functions. In [2], Brattka examines a formalization (...) of recursive relations in the style of Kleene's recursive functions on the natural numbers. This paper is an expanded version of [13] which establishes the expressive power of LRTp, a variant of LRT, in terms of Brattka's recursive relations. Because Brattka already did the work of establishing the precise connection between his recursive relations and Type 2 Theory of Effectivity, we thus obtain a complete characterization of first-order definability in LRTp. (shrink)

We present an experimental test of the validity of the Pauli Exclusion Principle for electrons based on the concept put forward a few years ago by Ramberg and Snow. In this experiment we perform a very accurate search of X-rays from the Pauli-forbidden atomic transitions of electrons in the already filled 1S shells of copper atoms. Although the experiment has a simple structure, it poses deep conceptual and interpretational problems. Here we describe the experimental method and recent experimental results, which (...) we interpret as an upper limit for the probability to violate the Pauli Exclusion Principle. We present also future plans to upgrade the experimental apparatus using Silicon Drift Detectors. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Happiness of “Those Who Lack the Use of Reason”Miguel J. RomeroHuman beings would have been created uselessly and in vain were they unable to attain happiness, as would be the case with anything that cannot attain its ultimate end.(De Malo, q. 5, a. 1, ad 1)A STUDY OF “those who lack the use of reason” in the thought and spirit of St. Thomas Aquinas has much to offer (...) the patient reader. We better understand what it means to be a rational animal, the image of triune God, when we investigate why, exactly, “mindless persons” (amentes) are not exceptions or even outliers in Aquinas’s account of the creaturely dignity and perfectibility of the human being.Aquinas remarks with some regularity on persons afflicted with the condition amentia, which is variously and inconsistently interpreted (in translation) as “imbeciles,” “fools,” “madmen,” “lunatics,” “the demented,” or “the insane.” The amentes are persons who lack the use of reason in a profound and debilitating way; and, as I will show, the fact that we are sometimes found in this state informs Aquinas’s analysis of human nature and, in particular, Aquinas’s teaching on the good wrought by Christ for the members of his body. Our guiding question is this: Thinking with Aquinas, how do we account for the natural and supernatural happiness of those of us who lack the use of reason?My purpose in this article is to explore what Aquinas has to say about the happiness of persons who are baptized and [End Page 49] confirmed by the Church, and who have what neuro-psychologists would describe as a profound cognitive impairment. The question is particularly striking when we recall that, for Aquinas, the distinguishing aptitude of the human being (proper to our intellectual nature and coordinate with our creaturely perfection) is the operation of an incorruptible intellectual capacity—a capacity, however, that is only reduced from potentiality to act when the corruptible “internal sense organ” is disposed to receive, in terms of health and circumstance, a coordinated sense impression of material species. Thus, a further question emerges: According to Aquinas, what is the perfective effect of grace in this life upon the nature of a person who completely lacks the use of reason due to an organic corruption or disorder of the ‘internal sense organ’?The discussion is divided into five parts. I begin (part I) by locating those who “lack the use of reason” within the theological infrastructure of Aquinas’s moral psychology and I identify the main problematic. With respect to that problematic, the principal conceptual resources provided by Aquinas are then outlined and two challenges are identified (part II).The first challenge is methodological, concerning the speculative import of the sacramental life of the Church. Francisco de Vitoria’s Relectio de eo ad quod tenetur homo veniens ad usum rationis (1534) highlights for us (part III) a constellation of judgments relevant to interpreting Aquinas on these themes, in particular, Aquinas’s formulation of prerational intellectual acts vis-à-vis the participation and membership of “mindless persons” in the sacramental life of the Body of Christ.The second challenge is to show the continuity between Aquinas’s account of the human being and his practical remarks on those who lack the use of reason. Specifically, given the various ways that, and degrees to which, the human being can lack the use of reason, I trace (part IV) Aquinas’s analysis of the power and operation of intellect, focusing on the intellectual acts which can be impaired and, concurrently, the intellectual acts which cannot be impaired in a living human being. Aquinas’s remarks on those latter acts not only reflect the [End Page 50] significance of the doctrine of the image of God in his account of human nature, but, even more, they shed light on the prosthesis of sacramental grace in his understanding of the properly human happiness capacitated and purposed in all whom God has called in Christ—a call to discipleship and devotion that includes those of us who have a profound, lifelong cognitive impairment (Rom 8:28; 9:11; Eph 1:3-14; II Tim 1:8-11).I conclude... (shrink)

We discuss the concepts of Weyl and Riemann frames in the context of metric theories of gravity and state the fact that they are completely equivalent as far as geodesic motion is concerned. We apply this result to conformally flat spacetimes and show that a new picture arises when a Riemannian spacetime is taken by means of geometrical gauge transformations into a Minkowskian flat spacetime. We find out that in the Weyl frame gravity is described by a scalar field. We (...) give some examples of how conformally flat spacetime configurations look when viewed from the standpoint of a Weyl frame. We show that in the non-relativistic and weak field regime the Weyl scalar field may be identified with the Newtonian gravitational potential. We suggest an equation for the scalar field by varying the Einstein-Hilbert action restricted to the class of conformally-flat spacetimes. We revisit Einstein and Fokker’s interpretation of Nordström scalar gravity theory and draw an analogy between this approach and the Weyl gauge formalism. We briefly take a look at two-dimensional gravity as viewed in the Weyl frame and address the question of quantizing a conformally flat spacetime by going to the Weyl frame. (shrink)

The study examines the end or purpose of the acts of the virtue of religion within Thomas Aquinas' ethics of human action. What is the end of religious worship? Is it God, or is it the worshippers themselves? On the one hand, one would presume that God cannot be the end of religion because, from the perspective of Classical Theism (of which Aquinas is a main proponent), God cannot benefit from the activity of creatures. But on the other hand, if (...) the worshipper is the end of religious acts, would not worship be a self-centered or an egotistic act? The standard Thomistic account of the problem, first laid out by Cajetan and later adopted by countless followers, is that God is the finis cuius ("the aim toward which") of the acts of the virtue of religion, whereas the religious worshipper is the finis quo (the beneficiary) of the acts. I argue that this solution, which is based on a single text of Aquinas (ST II-II.81.7c), is insufficient. After examining Aquinas' theory of action (the doctrine of object, end, and circumstances presented in ST I-II.18), I show how the object of a particular human act can be interpreted as the finis operis (the end of the agent's act). Utilizing this principle of the identity between the object and the finis operis, I argue that the finis operis of religion can be summed up as a threefold sequence of ends: the honor, reverence, and glory of God. As a result, the ultimate beneficiary of acts of religious worship is neither God nor the individual worshipper, but rather the totality of the universe, encapsulated by Aquinas in his notion of divine "glory," that is, the extrinsic manifestation of God's intrinsic goodness within the universe. (shrink)

Pathological tremor is a common but highly complex movement disorder, affecting ~5% of population older than 65 years. Different methodologies have been proposed for its quantification. Nevertheless, the discrimination between Parkinson’s disease tremor and essential tremor remains a daunting clinical challenge, greatly impacting patient treatment and basic research. Here, we propose and compare several movement-based and electromyography-based tremor quantification metrics. For the latter, we identified individual motor unit discharge patterns from high-density surface electromyograms and characterized the neural drive to a (...) single muscle and how it relates to other affected muscles in 27 Parkinson’s disease and 27 essential tremor patients. We also computed several metrics from the literature. The most discriminative metrics were the symmetry of the neural drive to muscles, motor unit synchronization, and the mean log power of the tremor harmonics in movement recordings. Noteworthily, the first two most discriminative metrics were proposed in this study. We then used decision tree modelling to find the most discriminative combinations of individual metrics, which increased the accuracy of tremor type discrimination to 94%. In summary, the proposed neural drive-based metrics were the most accurate at discriminating and characterizing the two most common pathological tremor types. (shrink)

The oft-rehearsed, seldom-contested story of Aquinas’s account of sacra doctrina has him holding that revealed theology counts as a demonstrative science, along Aristotelian lines, because it is subaltern to God’s self-knowledge. This paper seeks to question this assessment of the matter by comparing Aquinas’s view to that of another great Aristotelian commentator, Averroes, who holds the contrary position, insofar as he considered religious discourse to be dialectical, and not scientific, in nature. The paper argues that, although both of these thinkers (...) strive to present faithfully Aristotelian solutions to the problem of the epistemological status of religious discourse and in both accounts religious discourse somehow ends up being less than something naturally scientific, ultimately their approaches have widely divergent starting points and foundations that lead to distinctively different approaches and conclusions. (shrink)

RESUMEN Se analiza la relación entre la escritura y la presencia en la obra de Maurice Blanchot, se delimita el fundamento textual de la presencia en el orden de la literatura y se toman como referentes teóricos los conceptos de "espacio literario" y "pensamiento del afuera" de Michel Foucault. Si bien el propósito de examinar dicha relación es deconstruir el vínculo entre presencia y lenguaje, Blanchot conduce a considerar esa continuidad en términos de una presencia nunca completa ni devenida que (...) se conserva como una discontinuidad, una promesa y una ausencia que deben preservarse. ABSTRACT The article analyzes the relation between writing and presence in the work of Maurice Blanchot and defines the textual grounds of presence in the order of literature, using Michel Foucault's concepts of "literary space" and the "thought of the outside" as theoretical referents. While the objective of examining that relation is to deconstruct the link between presence and language, Blanchot leads us to consider that continuity in terms of a never complete or fulfilled presence that remains as discontinuity, as promise and absence that must be preserved. (shrink)

The introduction of a new analytical method, due fundamentally to François Viète and René Descartes and the later dissemination of their works, resulted in a profound change in the way of thinking and doing mathematics. This change, known as process of algebrization, occurred during the seventeenth and early eighteenth centuries and led to a great transformation in mathematics. Among many other consequences, this process gave rise to the treatment of the results in the classic treatises with the new analytical method, (...) which allowed new visions of such treatises and the obtaining of new results. Among those treatises is the Arithmetic of Diophantus of Alexandria (approx. 200–284) which was written, using the new algebraic language, by the French mathematician Jacques Ozanam (1640–1718), who in addition to profusely increasing the original problems of Diophantus, solved them in a general way, thus obtaining many geometric consequences. The work is handwritten, it has never been published, it has been lost for almost 300 years, and the known references show its importance. We will show that Ozanam’s manuscript was quoted as an important work on several occasions by others mathematicians of the time, among whom G. W. Leibniz stands out. Once the manuscript has been located, our aim in this article is to show and analyze this work of Ozanam, its content, its notation and its structure and how, through the new algebraic method, he not only solved and expanded the questions proposed by Diophantus, but also introduced a connection between the algebraic solutions and what he called geometric determinations by obtaining loci from the solutions. (shrink)

Beyond Agreement addresses the thorny question of how to make interreligious dialogue productive when the religious differences are so large that finding common ground seems unlikely. The book offers a way to think about interreligious dialogue that allows people to stay committed to their own truth as they have come to know it while being open to learning from other religions.

Charles S. Peirce has a great deal to contribute both to understanding and to solving many of the philosophical problems which puzzle contemporary thinkers. In fact it is probably true that in some ways philosophers of our time are in a better position to understand Peirce's thought than those of his own day. In this paper I would like to consider two puzzling notions: 1) the substantiality of things, and 2) the foundations of human knowledge.

IN Plato’s eyes, unity was a prime requisite of civil society: “there is no greater good than whatsoever binds the State together into one”. Plato carried his conception of unity to an extreme; for his organic conception has the defect of postulating members who are means to the life of the rest, and do not share in that life. And yet Plato argues from his organic conception of the state to the conclusion, that as in an organism part must be (...) proportioned to suit part, and all to suit the whole—as no part must grow unduly, lest every part should suffer—so in a State class must be proportioned to class, and all classes be adjusted to the good of the whole. (shrink)

Metaphysicians go on busily doing metaphysical thinking all over the world, and apparently with a modicum of self-assurance that they are not talking nonsense or pursuing an illusory will-of-the-wisp. Yet other philosophers of empirical, analytical, phenomenological, or other turns of mind seem to have more and more difficulty in understanding just how metaphysicians give meaning and positive content to the vast abstract concepts by which they seek to describe and explain the entire spectrum of reality extending far beyond present or (...) perhaps even possible human experience. Since there is no way of gaining direct insight into dimensions of reality beyond human experience, and since in order to be applied to the whole range of reality these concepts must abstract from purely human experience, it is hard for them to see—and it is a serious problem in itself—how these all-embracing terms can be anything more than empty, formal, verbal symbols or conceptual constructions, with no positive existential content describing reality itself across its whole spectrum. Even the metaphysician himself, though when left alone he may have a sure sense of how to do metaphysical thinking fruitfully, when questioned to explain and justify what he is doing, and is convinced is worth doing, can feel embarrassed and struck dumb as to how to articulate and justify the principles behind the procedures he is following. (shrink)