Bertrand’s paradox ) can be considered as a cautionary memento, to practitioners and students of probability calculus alike, of the possible ambiguous meaning of the term ‘at random’ when the sample space of events is continuous. It deals with the existence of different possible answers to the following question: what is the probability that a chord, drawn at random in a circle of radius R, is longer than the side of an inscribed equilateral triangle? Physics can help to remove the (...) ambiguity by identifying an actual experiment, whose outcome is obviously unique and prescribes the physical variables to which the term ‘random’ can be correctly applied. In this paper, after briefly describing Bertrand’s paradox, we associate it with an experiment, which is basically a variation of the famous Buffon’s needle experiment for estimating the value of π. Its outcome is compared with the analytic predictions of probability calculus, that is with the probability distribution of variables whose uniform distribution can be considered a sound implementation of complete randomness. (shrink)

During the past decade, a small but rapidly growing number of Law&Tech scholars have been applying algorithmic methods in their legal research. This Article does it too, for the sake of saving disclosure regulation failure: a normative strategy that has long been considered dead by legal scholars, but conspicuously abused by rule-makers. Existing proposals to revive disclosure duties, however, either focus on the industry policies (e.g. seeking to reduce consumers’ costs of reading) or on rulemaking (e.g. by simplifying linguistic intricacies). (...) But failure may well depend on both. Therefore, this Article develops a `comprehensive approach', suggesting to use computational tools to cope with linguistic and behavioral failures at both the enactment and implementation phases of disclosure duties, thus filling a void in the Law & Tech scholarship. Specifically, it outlines how algorithmic tools can be used in a holistic manner to address the many failures of disclosures from the rulemaking in parliament to consumer screens. It suggests a multi-layered design where lawmakers deploy three tools in order to produce optimal disclosure rules: machine learning, natural language processing, and behavioral experimentation through regulatory sandboxes. To clarify how and why these tasks should be performed, disclosures in the contexts of online contract terms and privacy online are taken as examples. Because algorithmic rulemaking is frequently met with well-justified skepticism, problems of its compatibility with legitimacy, efficacy and proportionality are also discussed. (shrink)

A comparison between the standard adiabatic piston dynamics and that of a perfectly conducting (diathermal) piston helps to clarify their different behaviors and, in particular, the anomalously large random displacement of the adiabatic piston as compared to the diathermal one. It is shown to be associated with a situation where the presence of a single massive “particle” (the piston), acting as an internal constraint in a many-particle system, plays a somewhat unexpected relevant role. A significant physical insight accounting for the (...) above difference is gained by means of a simple analysis of the phase space available to our system. (shrink)

Observing averted eye gaze results in the automatic allocation of attention to the gazed-at location. The role of the orientation of the face that produces the gaze cue was investigated. The eyes in the face could look left or right in a head-centred frame, but the face itself could be oriented 90 degrees clockwise or anticlockwise such that the eyes were gazing up or down. Significant cueing effects to targets presented to the left or right of the screen were found (...) in these head orientation conditions. This suggests that attention was directed to the side to which the eyes would have been looking towards, had the face been presented upright. This finding provides evidence that head orientation can affect gaze following, even when the head orientation alone is not a social cue. It also shows that the mechanism responsible for the allocation of attention following a gaze cue can be influenced by intrinsic object-based (i.e. head-centred) properties of the task-irrelevant cue. (shrink)

ABSTRACT In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings.

Research has suggested a fundamental connection between fairness and well-being at the individual, relational, and societal levels. Mattering is a multidimensional construct consisting of feeling valued by, and adding value to, self and others. Prior studies have attempted to connect mattering to both fairness and a variety of well-being outcomes. Based on these findings, we hypothesize that mattering acts as a mediator between fairness and well-being. This hypothesis was tested through Covariance-Based Structural Equation Modeling using multidimensional measures of fairness, mattering, (...) and well-being. Results from a Latent Path Analysis conducted on a representative sample of 1,051U.S. adults provide support to our hypothesis by revealing a strong direct predictive effect of mattering onto well-being and a strong indirect effect of fairness onto well-being through mattering. Results also show that mattering is likely to fully mediate the relationship between fairness and multiple domains of well-being, except in one case, namely, economic well-being. These findings illustrate the value of a focus on mattering to understand the relationship between fairness and well-being and to provide future directions for theory, research, and practice. Theoretical implications for the experience of citizenship and participation, along with cross-cultural considerations, are also discussed. (shrink)

In [9] Mundici introduced a categorical equivalence Γ between the category of MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups. Aim of the present paper is to use the above functors to provide Yosida like representations of a large class of MV-algebras.

In this work we introduce a class of commutative rings whose defining condition is that its lattice of ideals, augmented with the ideal product, the semi-ring of ideals, is isomorphic to an MV-algebra. This class of rings coincides with the class of commutative rings which are direct sums of local Artinian chain rings with unit.

In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well.

The deliberative ethics guidelines elaborated and implemented by members of the IFOM-IEO Campus (Firc Institute of Molecular Oncology (IFOM) and the European Institute of Oncology (IEO)). These should serve the dual purpose of establishing a minimal set of standard rules for bioethical debate and any ensuing decision-making process, especially for the perspective of providing real instruments to foster public engagement and public awareness on the ethical issues involved in biomedical research. It is shown that these guidelines instantiate the scheme of (...) one of the correct ways of debating formalised by the western thought. (shrink)

In this paper, we analyse the most important documents establishing the criteria for the treatment and exclusion of COVID-19 patients, especially in regard to the giving of respiratory support, in Italy and Spain. These documents reflect a tension that stems from limited healthcare resources which are insufficient to save lives that, under normal conditions, could have been saved, or at least could have received the best possible treatment. First, we analyse the healthcare systems of these two countries before the spread (...) of the virus, both of which have seen decreases in the number of intensive care beds and have been marked by financial cuts during the last ten years. It is a fact that a greater number of people, especially those over 70 years of age, have been left without respiratory support treatment, and therefore, there have been a greater number of deaths. It is also a fact that there has been a higher infection rate among healthcare professionals due to the delay in the management of protective measures and the inability to provide adequate care for those in nursing homes, as recognised by WHO. In the context of this health emergency, healthcare professionals have suffered a real ‘moral distress’ because, knowing first-hand the causes of the limitation of resources, they have had to put triage protocols into practice. Finally, we set forth a series of concrete ethical proposals with which to face the successive waves of COVID-19 infection, as well as other future pandemics. (shrink)

Background Metaphors are central to the human understanding of complex issues; through the immediate associations they evoke and frame problems and suggest solutions. Our suggestion of Music in the Park as a metaphor for health systems reform brings to the forefront the environmentally diverse but bounded spaces of health services that offer a variety of attractors within their confines, while pushing into the background organizational and economic concerns.Reflections Parks, like health services, are embedded in their local landscape, serving their communities, (...) but most importantly parks are public spaces, publically funded, ideally offering universal access and equity and to be shared by all who want to go there.Music, like health, is tangible, technical and scientific, yet ultimately experiential and based on meaning. While it encompasses a wide range of styles and approaches, music making requires as its most important skill active listening which brings with it to be ‘in the moment’, to take personal risks and to draw energy and inspiration from the participants. Hence ‘audiences’ are equally active participants because music only has meaning if it internally resonates with the listener and only can exist in what is a co-constructed experience.Conclusions Music in the Park is a metaphor for primary health care systems based on shared values of experts and unique local communities. Health professionals are players in this arena, who develop and practise the full range of their skills in response to individual and community needs and preferences. Their leadership works through inspiration and empowerment, making patients ‘co-producers’ of their own health and ‘co-shapers’ of their health services. (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 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)

PurposeAlthough an increasing body of literature suggests a relationship between brain irradiation and deterioration of neurocognitive function, it remains as the standard therapeutic and prophylactic modality in patients with brain tumors. This review was aimed to abstract and evaluate the prediction models for radiation-induced neurocognitive decline in patients with primary or secondary brain tumors.MethodsMEDLINE was searched on October 31, 2021 for publications containing relevant truncation and MeSH terms related to “radiotherapy,” “brain,” “prediction model,” and “neurocognitive impairments.” Risk of bias was (...) assessed using the Prediction model Risk Of Bias ASsessment Tool.ResultsOf 3,580 studies reviewed, 23 prediction models were identified. Age, tumor location, education level, baseline neurocognitive score, and radiation dose to the hippocampus were the most common predictors in the models. The Hopkins verbal learning and the trail making tests were the most frequent outcome assessment tools. All studies used regression as machine learning method. All models were judged to have a high risk of bias mainly due to issues in the analysis.ConclusionExisting models have limited quality and are at high risk of bias. Following recommendations are outlined in this review to improve future models: developing cognitive assessment instruments taking into account the peculiar traits of the different brain tumors and radiation modalities; adherence to model development and validation guidelines; careful choice of candidate predictors according to the literature and domain expert consensus; and considering radiation dose to brain substructures as they can provide important information on specific neurocognitive impairments. (shrink)

We present the idea of searching for X-rays as a signature of the mechanism inducing the spontaneous collapse of the wave function. Such a signal is predicted by the continuous spontaneous localization theories, which are solving the “measurement problem” by modifying the Schrödinger equation. We will show some encouraging preliminary results and discuss future plans and strategy.

Upshot: We acknowledge that our model can be implemented with different reinforcement learning algorithms. Subsystem formation has been successfully demonstrated on the basal level, and in order to show full subsystem formation in the communication system at least both intentional utterances and acceptance/rejection need to be implemented. The comments about intrinsic vs extrinsic rewards made clear that this distinction is not helpful in the context of the constructivist paradigm but rather needs to be replaced by a critical reflection on whether (...) one has truly created autopoietic agents or just an engineering system. (shrink)

Pekakak adalah salah satu tokoh yang memiliki pengetahuan mendalam dan perencanaan yang cermat. Saat fajar menyingsing, ia terlihat bertengger di atas pohon. Dengan kemampuan sempurna untuk mengontrol kecepatan penerbangan miliknya, seperti kapan harus memperlambat atau mempercepat, dia dapat dengan mudah menghitung cara optimal untuk menangkap ikan.

In 2017, Italy passed a law that provides for a systematic discipline on informed consent, advance directives, and advance care planning. It ranges from decisions contextual to clinical necessity through the tool of consent/refusal to decisions anticipating future events through the tools of shared care planning and advance directives. Nothing is said in the law regarding the issue of physician assisted suicide. Following the DJ Fabo case, the Italian Constitutional Court declared the constitutional illegitimacy of article 580 of the criminal (...) code in the part in which it does not exclude the punishment of those who facilitate the suicide when the decision has been freely and autonomously made by a person kept alive by life-support treatments and suffering from an irreversible pathology, the source of physical or psychological suffering that he/she considers intolerable, but fully capable of making free and conscious decisions. Such conditions and methods of execution must be verified by a public structure of the national health service, after consulting the territorially competent ethics committee. This statement admits, within strict and regulated bounds, physician assisted suicide, so widening the range of end-of-life decisions for Italian patients. Future application and critical topics will be called into question by the Italian legislator. (shrink)

We identify a novel ‘cultural red king effect’ that, in many cases, results in stable arrangements which are to the detriment of minority groups. In particular, we show inequalities disadvantaging minority groups can naturally arise under an adaptive process when minority and majority members must routinely determine how to divide resources amongst themselves. We contend that these results show how inequalities disadvantaging minorities can likely arise by dint of their relative size and need not be a result of either explicit (...) nor implicit prejudices, nor due to intrinsic differences between minority and majority members. (shrink)