We show that given ù many supercompact cardinals, there is a generic extension in which the tree property holds at ℵ ω²+1 and the SCH fails at ℵ ω².

Given a supercompact cardinal κ and a regular cardinal Λ < κ, we describe a type of forcing such that in the generic extension the cofinality of κ is Λ, there is a very good scale at κ, a bad scale at κ, and SCH at κ fails. When creating our model we have great freedom in assigning the value of 2κ, and so we can make SCH hold or fail arbitrarily badly.

We show that given ω many supercompact cardinals, there is a generic extension in which there are no Aronszajn trees at ℵω+1. This is an improvement of the large cardinal assumptions. The previous hypothesis was a huge cardinal and ω many supercompact cardinals above it, in Magidor—Shelah [7].

Given a regular cardinal λ and λ many supercompact cardinals, we describe a type of forcing such that in the generic extension there is a cardinal κ with cofinality λ, the Singular Cardinal Hypothesis at κ fails, and the tree property holds at κ+.

We construct a model in which the singular cardinal hypothesis fails at ℵωℵω. We use characterizations of genericity to show the existence of a projection between different Prikry type forcings.

In Part I of this series [A. Poveda, A. Rinot and D. Sinapova, Sigma-Prikry forcing I: The axioms, Canad. J. Math. 73(5) (2021) 1205–1238], we introduced a class of notions of forcing which we call [Formula: see text]-Prikry, and showed that many of the known Prikry-type notions of forcing that center around singular cardinals of countable cofinality are [Formula: see text]-Prikry. We showed that given a [Formula: see text]-Prikry poset [Formula: see text] and a [Formula: see text]-name for a (...) non-reflecting stationary set [Formula: see text], there exists a corresponding [Formula: see text]-Prikry poset that projects to [Formula: see text] and kills the stationarity of [Formula: see text]. In this paper, we develop a general scheme for iterating [Formula: see text]-Prikry posets and, as an application, we blow up the power of a countable limit of Laver-indestructible supercompact cardinals, and then iteratively kill all non-reflecting stationary subsets of its successor. This yields a model in which the singular cardinal hypothesis fails and simultaneous reflection of finite families of stationary sets holds. (shrink)

Journal of Mathematical Logic, Volume 22, Issue 03, December 2022. In Part I of this series [A. Poveda, A. Rinot and D. Sinapova, Sigma-Prikry forcing I: The axioms, Canad. J. Math. 73(5) (2021) 1205–1238], we introduced a class of notions of forcing which we call [math]-Prikry, and showed that many of the known Prikry-type notions of forcing that center around singular cardinals of countable cofinality are [math]-Prikry. We showed that given a [math]-Prikry poset [math] and a [math]-name for a (...) non-reflecting stationary set [math], there exists a corresponding [math]-Prikry poset that projects to [math] and kills the stationarity of [math]. In this paper, we develop a general scheme for iterating [math]-Prikry posets and, as an application, we blow up the power of a countable limit of Laver-indestructible supercompact cardinals, and then iteratively kill all non-reflecting stationary subsets of its successor. This yields a model in which the singular cardinal hypothesis fails and simultaneous reflection of finite families of stationary sets holds. (shrink)

We use set-theoretic tools to make a model-theoretic contribution. In particular, we construct a single \-sentence \ that codes Kurepa trees to prove the following statements: The spectrum of \ is consistently equal to \ and also consistently equal to \\), where \ is weakly inaccessible.The amalgamation spectrum of \ is consistently equal to \ and \\), where again \ is weakly inaccessible. This is the first example of an \-sentence whose spectrum and amalgamation spectrum are consistently both right-open and (...) right-closed. It also provides a positive answer to a question in Souldatos :533–551, 2014).Consistently, \ has maximal models in finite, countable, and uncountable many cardinalities. This complements the examples given in Baldwin et al. :545–565, 2016) and Baldwin and Souldatos :444–452, 2019) of sentences with maximal models in countably many cardinalities.Consistently, \ and there exists an \-sentence with models in \, but no models in \. This relates to a conjecture by Shelah that if \, then any \-sentence with a model of size \ also has a model of size \. Our result proves that \ can not be replaced by \, even if \. (shrink)

Assuming large cardinals we produce a forcing extension of V which preserves cardinals, does not add reals, and makes the set of points of countable V cofinality in κ+ nonstationary. Continuing to force further, we obtain an extension in which the set of points of countable V cofinality in ν is nonstationary for every regular ν ≥ κ+. Finally we show that our large cardinal assumption is optimal.

Three central combinatorial properties in set theory are the tree property, the approachability property and stationary reflection. We prove the mutual independence of these properties by showing that any of their eight Boolean combinations can be forced to hold at${\kappa ^{ + + }}$, assuming that$\kappa = {\kappa ^{ < \kappa }}$and there is a weakly compact cardinal aboveκ.If in additionκis supercompact then we can forceκto be${\aleph _\omega }$in the extension. The proofs combine the techniques of adding and then destroying (...) a nonreflecting stationary set or a${\kappa ^{ + + }}$-Souslin tree, variants of Mitchell’s forcing to obtain the tree property, together with the Prikry-collapse poset for turning a large cardinal into${\aleph _\omega }$. (shrink)

We present an alternative proof that from large cardinals, we can force the tree property at $\kappa ^+$ and $\kappa ^{++}$ simultaneously for a singular strong limit cardinal $\kappa $. The advantage of our method is that the proof of the tree property at the double successor is simpler than in the existing literature. This new approach also works to establish the result for $\kappa =\aleph _{\omega ^2}$.

This paper analyses the relationship between religion and the field of medicine and health care in light of other recent studies. Generally, religion and spirituality have a positive impact on disease. For patients diagnosed with malignancies and chronic diseases, religion is an important dimension of healing. From ancient times, God has been considered an inspiration for the physician's knowledge and healing resources. Some authors have proposed a brief history of spiritual and religious states that the doctor can apply to his (...) patient. Religiosity and spirituality allow patients to receive better social support and to benefit greatly from resources provided by religious organizations (cultural activities, jobs, and health care counseling). The two terms "religion" and "spirituality" have different meanings but are always in connection. Many studies emphasize that people with greater religiosity and spirituality have a lower prevalence of depression and suicide, better quality of life, and greater survival. Additionally the article discusses the complementary health care benefits of religious fasting. Caloric and protein restrictions promoted by religious fasting were associated with improvement in control or prophylaxis of many diseases and with longevity. (shrink)

"Plato's Statesman reconsiders many questions familiar to readers of the Republic: questions in political theory - such as the qualifications for the leadership of a state and the best from of constitution (politeia) - as well as questions of philosophical methodology and epistemology. Instead of the theory of Forms that is the centrepiece of the epistemology of the Republic, the emphasis here is on the dialectical practice of collection and division (diairesis), in whose service the interlocutors also deploy the ancillary (...) methods of myth and of models (paradeigmata). Plato here introduces the doctrine of due measure (to metrion) and a conception of statecraft (politikē) as an architectonic expertise that governs subordinate disciplines such as rhetoric and the military - doctrines later developed by Aristotle. Readers will find a sustained defence of the importance of expertise (technē or epistēmē) in the conduct of affairs of state, a robust (although not unqualified) defence of the rule of law, and an unsparing but nuanced critique of democratic government. The chapters in this volume provide a comprehensive and detailed philosophical engagement with the entirety of Plato's wide-ranging dialogue, with successive chapters devoted to the sections of the dialogue as it unfolds, and an introduction that places the dialogue in the context of Plato's philosophy as a whole. While not a commentary in the traditional sense, the volume engages with Plato's Statesman in its entirety" -- Publisher's description. (shrink)

Secrecy and ethics are often seen as opposing forces within organizations. Secret work is viewed as unethical, as it excludes others from knowing and is associated with self-interested behavior. We contend that this view does not account for the dynamic inherent to secrecy and to the fact that ethics is embedded in social relations. This paper suggests an alternative view. We consider secrecy as a social process which allows employees to maintain their ethics when faced with managerial policies that affect (...) the quality of their work. Building on an in-depth case study of a team of journalists who worked in secret after their managers decided to prioritize the interests of shareholders and advertising firms, we show how these journalists managed to maintain collective ethics through secrecy and to do their work according to their own moral principles. This paper offers two primary contributions. First, we show a mutually beneficial relationship between ethics and secrecy in organizations, wherein secrecy helps maintaining ethics in everyday work. Second, the paper shows how secrecy can lead to ethical resistance, via a transformation of the power relationship with managers. (shrink)

Este ensayo reflexiona sobre la relación entre sociedad compleja y ciencias sociales. Entendemos que la pregunta por los límites epistemológicos de la investigación social es la pregunta por el papel de la investigación social en el marco de la sociedad compleja. En esta formulación hay por lo m..

In this paper, I review and compare major literature on goals in argumentation scholarship, aiming to answer the question of how to take the different goals of arguers into account when analysing and evaluating public political arguments. On the basis of the review, I suggest to differentiate between the different goals along two important distinctions: first, distinguish between goals which are intrinsic to argumentation and goals which are extrinsic to it and second distinguish between goals of the act of arguing (...) and goals of argumentative interactions. Furthermore, I propose to analyse public political arguments as multi-purposive activity types and reconstruct the argumentative exchanges as a series of simultaneous discussions. This enables us to examine public political arguments from a perspective in which the intrinsic goals of argumentation are in principle instrumental for the achievement of the socio-political purposes of argumentation, and consequently, it makes our assessment of the argumentative quality of the argument also indicative of the quality of the socio-political processes to which the arguments contribute. (shrink)

Despite ample research on corporate governance (CG) and corporate social responsibility (CSR), there is a lack of consensus on the nature of the relationship between these two concepts and on how this relationship manifests across institutional contexts. Drawing on the national business systems approach, this article systematically reviews 218 research articles published over a 27-year period to map how CG–CSR research has evolved and progressed theoretically and methodologically across different institutional contexts. To shed light on the full gamut of the (...) CG–CSR relationship, we categorize and explore the nature of this relationship along two strands: (a) CSR as a function of CG and (b) CG as a function of CSR. Through this review, we identify key themes where CG–CSR research has lagged and account for under-explored contexts in this domain. Finally, we put forth a comprehensive agenda for progressing future research in the field. (shrink)

Stakeholder theory has gained currency in the business and society literature in recent years in light␣of its practicality from the perspective of managers and scholars. In accounting for the recent ascendancy of␣stakeholder theory, this article presents an overview of␣two traditional conceptualizations of corporate social␣responsibility (CSR) (Carroll: 1979, ‹A Three-Dimensional Conceptual Model of Corporate Performance', The Academy of Management Review 4(4), 497–505 and Wood: 1991, ‹Corporate Social Performance Revisited', The Academy of Management Review 16(4), 691–717), highlighting their predominant inclination toward providing (...) static taxonomic CSR descriptions. The article then makes the case for a stakeholder approach to CSR, reviewing its rationale and outlining how it has␣been integrated into recent empirical studies. In light of this review, the article adopts a stakeholder framework – the Ethical Performance Scorecard (EPS) proposed by Spiller (2000, ‹Ethical Business and Investment: A Model For Business and Society', Journal of Business Ethics 27, 149–160) – to examine the CSR approach of a sample of␣Lebanese and Syrian firms with an interest in CSR␣and␣test relevant hypotheses derived from the CSR/stakeholder literature. The findings are analyzed and implications drawn regarding the usefulness of a stakeholder approach to CSR. (shrink)

In today’s ‘networked’ public sphere, arguers are faced with countless controversies roaming out there. Knowing what is at stake at any point in time, and keeping under control the contribution one’s arguments make to the different interrelated issues requires careful craft Keeping in touch with Pragma-Dialectics. In honor of Frans H. van Eemeren. John Benjamins, Amsterdam, 2011). In this paper, I explore the difficulty of determining what is at stake at any moment of the argumentative situation and explore the challenge (...) that that creates for examining the strategic shape of arguments. I argue that a meaningful examination of networked argumentative encounters requires that the boundaries of an encounter remain ‘fluid. In dealing with the fluid boundaries, I suggest to identify “argumentative associates” and “standing standpoints”. (shrink)

The present text surveys and reevaluates the meaning and scope of Ortega y Gasset’s philosophy. The chapters reveal the most important aspects of his history such as the Neokantian training he went thru in Germany as well as his discovery of Husserl’s phenomenology around 1912. The work also covers his original contributions to philosophy namely vital and historical reason - and the cultural and educational mission he proposed to achieve. The Spanish – and to a certain extent the European – (...) circumstance was the milieu from which his work emerged but this does not limit Ortega’s scope. Rather, he believed that universal truths can only emerge from the particulars in which they are embedded. The publication in 2010 of a critical edition of his Complete Works opened worldwide access for many unpublished manuscripts, and some of his lectures. There is renewed interest among students and researchers in Ortega and this book uniquely delivers scholarship on his content in English. (shrink)

After providing an overview of Corporate Social Responsibility research in different contexts, and noting the varied methodologies adopted, two robust CSR conceptualizations - one by Carroll, 497-505) and the other by Wood, 691-717) - have been adopted for this research and their integration explored. Using this newly synthesized framework, the research critically examines the CSR approach and philosophy of eight companies that are considered active in CSR in the Lebanese context. The findings suggest the lack of a systematic, focused, and (...) institutionalized approach to CSR and that the understanding and practice of CSR in Lebanon are still grounded in the context of philanthropic action. The findings are qualified within the framework of existing contextual realities and relevant implications drawn accordingly. (shrink)

We propose a couple of general ways of constructing authentication schemes from actions of a semigroup on a set, without exploiting any specific algebraic properties of the set acted upon. Then we give several concrete realizations of this general idea, and in particular, we describe several authentication schemes with long-term private keys where forgery is NP-hard. Computationally hard problems that can be employed in these realizations include the Graph Colorability problem, the Diophantine problem, and many others.

We introduce two versions of proof systems dealing with systems of inequalities: Positivstellensatz refutations and Positivstellensatz calculus. For both systems we prove the lower bounds on degrees and lengths of derivations for the example due to Lazard, Mora and Philippon. These bounds are sharp, as well as they are for the Nullstellensatz refutations and for the polynomial calculus. The bounds demonstrate a gap between the Null- and Positivstellensatz refutations on one hand, and the polynomial calculus and Positivstellensatz calculus on the (...) other. (shrink)

ABSTRACT:This paper explores how corporations, through their Corporate Social Responsibility (CSR) activities, can help to effect positive developmental change. We use research on institutional change, deinstitutionalization, and institutional work to develop our central theoretical framework. This framework allows us to suggest more explicitly how CSR can potentially be mobilized as a purposive form of institutional work aimed at disrupting existing institutions in favor of positive change. We take the gender institution in the Arab Middle East as a case in point. (...) Our suggestion is that the current context of the Arab Spring, which combined with increasingly obvious endogenous institutional contradictions, has created a fertile ground for shaping change processes within the gender institution. Finally, we provide concrete examples of CSR initiatives that regional corporate actors can engage in for positive developmental change supporting women. (shrink)