We consider several kinds of partition relations on the set ${\mathbb{R}}$ of real numbers and its powers, as well as their parameterizations with the set ${[\mathbb{N}]^{\mathbb{N}}}$ of all infinite sets of natural numbers, and show that they hold in some models of set theory. The proofs use generic absoluteness, that is, absoluteness under the required forcing extensions. We show that Solovay models are absolute under those forcing extensions, which yields, for instance, that in these models for every well ordered partition (...) of ${\mathbb{R}^\mathbb{N}}$ there is a sequence of perfect sets whose product lies in one piece of the partition. Moreover, for every finite partition of ${[\mathbb{N}]^{\mathbb{N}} \times \mathbb{R}^{\mathbb{N}}}$ there is ${X \in [\mathbb{N}]^{\mathbb{N}}}$ and a sequence ${\{P_{k} : k \in \mathbb{N}\}}$ of perfect sets such that the product ${[X]^{\mathbb{N}} \times \prod_{k}^{\infty}P_{k}}$ lies in one piece of the partition, where ${[X]^{\mathbb{N}}}$ is the set of all infinite subsets of X. The proofs yield the same results for Borel partitions in ZFC, and for more complex partitions in any model satisfying a certain degree of generic absoluteness. (shrink)

We prove that the least σ-algebra containing the projective sets and closed under projections is exactly the collection of hyperprojective sets which, with their complements, can be inductively defined with real parameters by an induction of countable length. This provides a construction principle for this natural class of hyperprojective sets.

The Principle of Ariadne, formulated in 1988 ago by Walter Carnielli and Carlos Di Prisco and later published in 1993, is an infinitary principle that is independent of the Axiom of Choice in ZF, although it can be consistently added to the remaining ZF axioms. The present paper surveys, and motivates, the foundational importance of the Principle of Ariadne and proposes the Ariadne Game, showing that the Principle of Ariadne, corresponds precisely to a winning strategy for the Ariadne (...) Game. Some relations to other alternative. set-theoretical principles are also briefly discussed. (shrink)

Given a topological Ramsey space math formula, we extend the notion of semiselective coideal to sets math formula and study conditions for math formula that will enable us to make the structure math formula a Ramsey space and also study forcing notions related to math formula which will satisfy abstract versions of interesting properties of the corresponding forcing notions in the realm of Ellentuck's space. This extends results from to the most general context of topological Ramsey spaces. As applications, we (...) prove that for every topological Ramsey space math formula, under suitable large cardinal hypotheses every semiselective ultrafilter math formula is generic over math formula; and that given a semiselective coideal math formula, every definable subset of math formula is math formula-Ramsey. This generalizes the corresponding results for the case when math formula is equal to Ellentuck's space. (shrink)

The Continuum Hypothesis has motivated a considerable part of the development of axiomatic set theory for over a century. We present, in a very schematic way, some of the results that give information related to Cantor’s Continuum Problem.

Several types of polarized partition relations are considered. In particular we deal with partitions defined on cartesian products of more than two factors. MSC: 03E05.

We study several perfect set properties of the Baire space which follow from the Ramsey property ω→(ω) ω . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.

El objetivo de este trabajo es presentar en un solo cuerpo tres maneras de relativizar (o generalizar) el concepto de conjunto constructible de Gödel que no suelen aparecer juntas en la literatura especializada y que son importantes en la Teoría de Conjuntos, por ejemplo para resolver problemas de consistencia o independencia. Presentamos algunos modelos resultantes de las diferentes formas de relativizar el concepto de constructibilidad, sus propiedades básicas y algunas formas débiles del Axioma de Elección válidas o no válidas en (...) ellas. (shrink)

Current climate change has raised concerns over the fate of the stenothermal Antarctic marine fauna (animals that evolved to live in narrow ranges of cold temperatures). The present paper focuses on Notothenioidei, a taxonomic group that dominates Antarctic fish. Notothenioids evolved in the Southern Ocean over the last 20 million years, providing an example of a marine species flock with unique adaptations to the cold at morphological, physiological and biochemical levels. Their phenotypic modifications are often accompanied by ‘irreversible’ genomic losses (...) or gene amplifications. On a micro‐evolutionary scale, relatively ‘shallow’ genetic variation is observed, on account of past fluctuations in population size, and a significant genetic structure is evident, suggesting low population connectivity. These features suggest that Antarctic fish might have relatively little potential to adapt to global warming, at least at a genetic level. The extent of their phenotypic plasticity, which is evident to some degree, awaits further research. (shrink)

Current climate change has raised concerns over the fate of the stenothermal Antarctic marine fauna (animals that evolved to live in narrow ranges of cold temperatures). The present paper focuses on Notothenioidei, a taxonomic group that dominates Antarctic fish. Notothenioids evolved in the Southern Ocean over the last 20 million years, providing an example of a marine species flock with unique adaptations to the cold at morphological, physiological and biochemical levels. Their phenotypic modifications are often accompanied by ‘irreversible’ genomic losses (...) or gene amplifications. On a micro‐evolutionary scale, relatively ‘shallow’ genetic variation is observed, on account of past fluctuations in population size, and a significant genetic structure is evident, suggesting low population connectivity. These features suggest that Antarctic fish might have relatively little potential to adapt to global warming, at least at a genetic level. The extent of their phenotypic plasticity, which is evident to some degree, awaits further research. (shrink)

Based on existing moral philosophy, Carlo Prisco introduces Eusebism as a way to develop new perspectives on being and relating by offering practical tools to approach everyday life and transfer good thought into action.

The purpose of this study is to examine the relationship between contextual work-related factors on the one hand, in terms of job demands (i.e., risk factors) and job resources (i.e., protective factors), and work-family conflict in teachers on the other. Building on the Job Demands-Resources (JD-R) model, we hypothesized that job demands, namely qualitative and quantitative workload, are positively associated with work-family conflict in teachers. Moreover, in line with the buffer hypothesis of the JD-R, we expected job resources, in terms (...) of support from supervisor, job autonomy, and participation in decision making, to affect this association, which is expected to be stronger when job resources are low. The study was conducted in an Italian secondary school. Overall, 122 teachers completed a self-report questionnaire aimed at determining work-family conflict, as well as job demands and resources. The hypothesized relationships were tested using moderated multiple regression. The results of this study largely support our predictions. First, both aspects of workload were positively associated with work-family conflict. Secondly, job resources, including support from supervisor and participation in decision making, buffered this association, which was stronger when resources were low. On the contrary, job autonomy did not buffer the association between workload and work-family conflict. Overall, the results of this study are consistent with the Job Demands-Resources model and contribute to to the understanding of work–family conflict among teachers. More specifically, our study suggests that teachers with high levels of job resources, namely support from supervisor and participation in decision making, can effectively cope with job demands, in terms of both qualitative and quantitative workload, thus preventing negative consequences such as conflict between work and family domains. Interventions aimed at preventing work-family conflict among teachers should encourage organizations to optimize the balance between job demands and resources, as well as the identification and training of the workers at risk of work-family conflict. (shrink)

Es evidente que el progreso científico-tecnológico, el bienestar de las sociedades industrializadas y el deterioro del medio ambiente se encuentran profundamente relacionadas. Al minarse las bases de los ciudadanos, la preocupación social por lo ambiental se ha manifestado como una institución social de ese vínculo con la naturaleza demandando una nueva educación que incluya la reflexión y modificación de su relación material con el mundo.

In recent works, Časlav Brukner and Jacques Pienaar have raised interesting objections to the relational interpretation of quantum mechanics. We answer these objections in detail and show that, far from questioning the viability of the interpretation, they sharpen and clarify it.

Facts happen at every interaction, but they are not absolute: they are relative to the systems involved in the interaction. Stable facts are those whose relativity can effectively be ignored. In this work, we describe how stable facts emerge in a world of relative facts and discuss their respective roles in connecting quantum theory and the world. The distinction between relative and stable facts resolves the difficulties pointed out by the no-go theorem of Frauchiger and Renner, and is consistent with (...) the experimental violation of the Local Friendliness inequalities of Bong et al.. Basing the ontology of the theory on relative facts clarifies the role of decoherence in bringing about the classical world and solves the apparent incompatibility between the ‘linear evolution’ and ‘projection’ postulates. (shrink)

This article investigates some main characteristics of TED talks, a new popularizing genre. In particular, it examines the process that recontextualizes scientific speeches into TED talks presented by their own authors, using several discursive conventions to negotiate their role as experts and to establish a closer relationship with their audience. Through a quantitative and qualitative analysis of the 2012 TED talks, the article will draw upon Hyland’s concept of ‘proximity’, and the five elements that he takes into account when illustrating (...) proximity in popularizing texts: organization, argument structure, credibility, stance and reader engagement. It will be observed that the linguistic techniques used to enhance comprehensibility, the use of evaluative and emotive adjectives, and the direct involvement of the audience through the use of inclusive pronouns help the speaker breach the expert/audience barrier, establishing an ‘alignment’. Rather than focusing on proximity of membership, these talks emphasize proximity of commitment, by concentrating not on the speakers’ identity and reputation, but rather on how they are personally involved in the topic of the speech. These techniques reveal TED’s idea that science should be ideas to be discussed rather than information to be passively received. (shrink)

Lawrence et al. have presented an argument purporting to show that “relative facts do not exist” and, consequently, “Relational Quantum Mechanics is incompatible with quantum mechanics”. The argument is based on a GHZ-like contradiction between constraints satisfied by measurement outcomes in an extended Wigner’s friend scenario. Here we present a strengthened version of the argument, and show why, contrary to the claim by Lawrence et al., these arguments do not contradict the consistency of a theory of relative facts. Rather, considering (...) this argument helps clarify how one should not think about a theory of relative facts, like RQM. (shrink)

En más de doscientas páginas, el lector encontrará cinco artículos: las palabras pronunciadas por el profesor Carlos Gaviria Díaz el día en que se realizó el evento "Hans Kelsen: una teoría pura del derecho ", las ponencias escritas de los profesores Óscar Mejía Quintana, Thomas Bustamante y el suscrito, Édgar Hernán Fuentes Contreras, mas una contribución invaluable e inédita para este texto del profesor Mario Alberto Montoya Brand. Una antología de textos disímiles, pero con la rigurosidad académica propia de (...) cada uno de los autores y que pone en discusión, en términos actuales, las construcciones metodológicas y teóricas del profesor austríaco Hans Kelsen. Un recorrido sobre interpretaciones, críticas, profundizaciones, posturas, complementos y dilucidaciones que, de seguro, pondrán una vez más a los lectores en la necesidad de repensar lo que hasta ahora se ha dicho sobre Kelsen. (shrink)

The present article is part of a preliminary study concerning the discursive manifestations of US President Trump’s sexist beliefs. While many studies have focused on Trump’s usage of hostile sexism, this work examines the linguistic strategies utilised by Trump to convey benevolent sexism, a form of discrimination based on the idea that women are weak and need to be protected, that they should respect traditional male-centric gender roles, and that they should be idolised by men. Drawing upon Fiske and Glick’s (...) Ambivalent Sexism Theory, the study will analyse a corpus of all the positive tweets addressing women tweeted by Trump since the beginning of his 2016 campaign. The study sheds a light on how President Trump’s usage of hostile and benevolent sexism are actually two sides of the same coin: they both confirm the idea of women as an inferior sex. (shrink)