The naïve idea of “size” for collections seems to obey both Aristotle’s Principle: “the whole is greater than its parts” and Cantor’s Principle: “1-to-1 correspondences preserve size”. Notoriously, Aristotle’s and Cantor’s principles are incompatible for infinite collections. Cantor’s theory of cardinalities weakens the former principle to “the part is not greater than the whole”, but the outcoming cardinal arithmetic is very unusual. It does not allow for inverse operations, and so there is no direct way of introducing infinitesimal numbers. Here (...) we maintain Aristotle’s principle, instead halving Cantor’s principle to “equinumerous collections are in 1–1 correspondence”. In this way we obtain a very nice arithmetic: in fact, our “numerosities” may be taken to be nonstandard integers. These numerosities appear naturally suited to sets of ordinals, but they depend, for generic sets, on a “labelling” of the universe by ordinals. The problem of finding a canonical way of attaching numerosities to all sets seems to be worth further investigation. (shrink)

We introduceself-divisibleultrafilters, which we prove to be precisely those$w$such that the weak congruence relation$\equiv _w$introduced by Šobot is an equivalence relation on$\beta {\mathbb Z}$. We provide several examples and additional characterisations; notably we show that$w$is self-divisible if and only if$\equiv _w$coincides with the strong congruence relation$\mathrel {\equiv ^{\mathrm {s}}_{w}}$, if and only if the quotient$(\beta {\mathbb Z},\oplus )/\mathord {\mathrel {\equiv ^{\mathrm {s}}_{w}}}$is a profinite group. We also construct an ultrafilter$w$such that$\equiv _w$fails to be symmetric, and describe the interaction between the (...) aforementioned quotient and the profinite completion$\hat {{\mathbb Z}}$of the integers. (shrink)

In this paper two new combinatorial principles in nonstandard analysis are isolated and applications are given. The second principle provides an equivalent formulation of Henson's isomorphism property.

We study combinatorial principles related to the isomorphism property and the special model axiom in nonstandard analysis.

A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard universes are arranged in strata in the likeness of superstructures and allow a rank function taking linearly ordered values. Nonstandard universes are also constructed which model the whole ZFC theory without regularity and satisfy the $\kappa$-saturation property.

In this study, we extended a model of the relations among ADHD symptoms, anxiety, and academic performance. Undergraduates (N = 515) completed self-report measures of anxiety (i.e. trait, test, math, and literacy) and ADHD symptoms. During the study, they completed math and literacy measures and reported their current (i.e. state) anxiety three times. There were significant correlations among ADHD symptoms and all measures of anxiety. However, neither ADHD symptoms nor trait anxiety were correlated with math or literacy performance. Test-anxious students (...) reported increasing state anxiety as the study progressed. In contrast, math-anxious students reported increased state anxiety following the math tasks but not the literacy tasks and literacy-anxious students reported increased state anxiety following the literacy tasks but not the math tasks. With respect to performance, math-anxious students had worse math performance and literacy-anxious students had worse literacy performance whereas test anxiety was not directly related to performance on either math or literacy tasks. Patterns of relations did not differ for men and women, but, except for literacy anxiety, women reported higher levels of all types of anxiety. These results could help educators understand how affective responses are related to university students’ academic performance. (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 begin by taking “naturalism” in the sense in which P. F. Strawson (“Scepticism, Naturalism and Transcendental Arguments”, 1985) presented Wittgenstein’s anti-sceptical arguments as “naturalistic”. According to Strawson, this naturalism connects the philosophy of Wittgenstein with that of Hume. Then, we proceed to compare Hume’s and Wittgenstein’s positions and establish a tenet common to them, which we qualify as “meta‐philosophical”: philosophy rests on a bedrock that resists our demands of justification, a contingent “so we are, so we act” that is (...) beyond philosophical analysis. But this negative thesis leads to differentcommitments in each philosopher: a commitment with the autonomy of nature in the case of Hume, and a commitment with the autonomy of grammar in the case of Wittgenstein. Next, we analyze the epistemological implications of each commitment, particularly with reference to the status of natural science. We find a deep divergence between Hume and Wittgenstein on this point, so that the former, but not the latter, could still be labelled as “naturalist” in a positive, more substantial sense. Our central point here is the difficulty to give a naturalistic interpretation of such Wittgensteinian notions as “language game” or “form of life”. Finally, we stress that the distance between Hume and Wittgenstein is most clearly evidenced when we consider the normative (moral) implications of Hume’s concept of nature, which are completely absent from Wittgenstein’s approach, this being a feature of Wittgenstein’s philosophy that remained unchanged all along his work. (shrink)

Mirror neurons may play a role in representing not only signs but also their meaning. Because actions are the only aspect of behavior that are inter-individually accessible, interpreting meanings in terms of actions might explain how meanings can be shared. Behavioral evidence and artificial life simulations suggest that seeing objects or processing words referring to objects automatically activates motor actions.

A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard universes are arranged in strata in the likeness of superstructures and allow a rank function taking linearly ordered values. Nonstandard universes are also constructed which model the whole ZFC theory without regularity and satisfy the κ-saturation property.

Assuming the existence of an inaccessible cardinal, transitive full models of the whole set theory, equipped with a linearly valued rank function, are constructed. Such models provide a global framework for nonstandard mathematics.

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)

Islamic philosophy ; Philosophical anthropology.

Ibrāhīm Dīnānī, Ghulām Ḥusayn - Interviews ; Islamic philosophy.

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)

A nonstandard set theory ∗ZFC is proposed that axiomatizes the nonstandard embedding ∗. Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are assumed. A strong form of saturation is also postulated. ∗ZFC is a conservative extension of ZFC.

Dawwānī, Muḥammad ibn Asʻad, 1426 or 1427-1512 or 1513. Zawrāʼ.

Study of "Kalimāt al-maknūnah" of Muḥammad ibn Murtaḍá Fayḍ al-Kāshī, 1598 or 1599-1680 or 168 discussed Shīʻah studies etc.

Interviews with Ghulām Ḥusayn Ibrāhīmī Dīnānī, an Iranian philosophers; views on life and philosophy etc.

Ibrāhīmī Dīnānī, Ghulām Ḥusayn, 1934- Quotations, maxims, etc. ; Muslim philosophers- Iran- Quotations, maxims, etc. ; Philosophers- Iran- Quotations, maxims, etc.

Knowledge, Theory of (Islam) ; Islamic philosophy ; Knowledge, Theory of ; Relativity.

Recognition of the identity of familiar faces in conditions with poor visibility or over large changes in head angle, lighting and partial occlusion is far more accurate than recognition of unfamiliar faces in similar conditions. Here we used a visual search paradigm to test if one class of social cues transmitted by faces – direction of another’s attention as conveyed by gaze direction and head orientation – is perceived more rapidly in personally familiar faces than in unfamiliar faces. We found (...) a strong effect of familiarity on the detection of these social cues, suggesting that the times to process these signals in familiar faces are markedly faster than the corresponding processing times for unfamiliar faces. In the light of these new data, hypotheses on the organization of the visual system for processing faces are formulated and discussed. (shrink)

Free will and determinism -- Religious aspects -- Islam ; Islamic philosophy.

Reflection (Philosophy). ; Reason -- Philosophy.

Ontology ; Knowledge, Theory of ; Personalism.