In this paper we prove that the free pseudocomplemented residuated lattices are decomposable if and only if they are Stone, i.e., if and only if they satisfy the identity ¬x ∨ ¬¬x = 1. Some applications are given.

In this paper we extend Mundici’s functor Γ to the category of monadic MV-algebras. More precisely, we define monadic ℓ-groups and we establish a natural equivalence between the category of monadic MV-algebras and the category of monadic ℓ-groups with strong unit. Some applications are given thereof.

In this paper we study some questions concerning Łukasiewicz implication algebras. In particular, we show that every subquasivariety of Łukasiewicz implication algebras is, in fact, a variety. We also derive some characterizations of congruence permutable algebras. The starting point for these results is a representation of finite Łukasiewicz implication algebras as upwardly-closed subsets in direct products of MV-chains.

Research on mental health of non-professional caregivers has focused on caregivers of people with specific diseases, especially dementia. Less is known about caregivers of people with other diseases. The aims of this study were (a) to determine the caregivers’ emotional state in a random sample of caregivers of people in situations of dependency, (b) to analyze the association between each disease of the care-recipient (a variety of 23 diseases included in the International Classification of Diseases) and the emotional state of (...) the caregiver, and (c) based on the theoretical model, to analyze the relationship of the different study variables in the appearance of the emotional distress of the caregiver. A sample of 491 non-professional caregivers was selected randomly (89.0% women, average age 55.3 years). Trained psychologists collected sociodemographic and care-related characteristics and evaluated the global emotional distress, somatic symptoms, anxiety-insomnia, social dysfunction, depression, probable mental disorder case, self-esteem and social support. It was found that (a) the caregivers showed moderate emotional distress, and 33.8% presented a probable mental disorder. (b) Caring for a care-recipient with cat's cry syndrome or epilepsy was related to suffering from social dysfunction, and caring for a care-recipient with autism was related to having a probable mental health case. (c) Social support mediated the relationship between social class, daily hours of care, monthly family income, self-esteem and global emotional distress. There is an important impact on the emotional state of the caregivers. This impact was similar in caregivers of care-recipients with different diseases, except in caregivers caring for a care-recipient with cat's cry syndrome or epilepsy (related to social dysfunction), and in caregivers caring for a care-recipient with autism (related to having a probable mental health case). (shrink)

This paper is devoted to the study of some subvarieties of the variety Qof Q-Heyting algebras, that is, Heyting algebras with a quantifier. In particular, a deeper investigation is carried out in the variety Q 3 of three-valued Q-Heyting algebras to show that the structure of the lattice of subvarieties of Qis far more complicated that the lattice of subvarieties of Heyting algebras. We determine the simple and subdirectly irreducible algebras in Q 3 and we construct the lattice of subvarieties (...) (Q 3 ) of the variety Q 3. (shrink)

This paper is devoted to the study of some subvarieties of the variety Q of Q-Heyting algebras, that is, Heyting algebras with a quantifier. In particular, a deeper investigation is carried out in the variety Q subscript 3 of three-valued Q-Heyting algebras to show that the structure of the lattice of subvarieties of Q is far more complicated that the lattice of subvarieties of Heyting algebras. We determine the simple and subdirectly irreducible algebras in Q subscript 3 and we construct (...) the lattice of subvarieties lambda (Q subscript 3) of the variety Q subscript 3. (shrink)

The variety O2 of double Ockham algebras consists of the algebras (A ∨, ∧, f,g 0,1) of type (2,2,1,1,0,0) where (A; ∨, ∧,f, 0,1) and (A; ∨, ∧,g 0,1) are Ockham algebras. In [16], M. Sequeira introduced several subvarieties of O2. In this paper we give a construction of free double Ockham algebras on a partially ordered set. We also describe free objects for the subvarieties of O2 considered in [16].

Most theories of slurs fall into one of two families: those which understand slurring terms to involve special descriptive/informational content (however conveyed), and those which understand them to encode special emotive/expressive content. Our view is that both offer essential insights, but that part of what sets slurs apart is use-theoretic content. In particular, we urge that slurring words belong at the intersection of a number of categories in a sociolinguistic register taxonomy, one that usually includes [+slang] and [+vulgar] and always (...) includes [-polite] and [+derogatory]. Thus, e.g., what distinguishes ‘Chinese’ from ‘chink’ is neither a peculiar sort of descriptive nor emotional content, but rather the fact that ‘chink’ is lexically marked as belonging to different registers than ‘Chinese’. It is, moreover, partly such facts which makes slurring ethically unacceptable. (shrink)

Some recently articulated American Christian liberation theolo­gies maintain that they seek justice for the oppressed. But such “justice” fails to encompass the respecting of certain rights of the oppressed to compensation from their oppressors. The right of the oppressed to holistic (including compensatory) reparations from their oppressors is explored in terms of why liberation theologies ought to, among other things, respect and embrace such a right. For economic issues, both distributive and compensatory, are inseparable from oppression-based poverty and hence inseparable (...) from the will of God insofar as it is the will of God to liberate the oppressed. By pressing the importance of reparations for oppressed groups, we seek to liberate liberation theologies from the shackles of a view that fails to recognize in a robust sense the law as a vehicle of rectification of oppression. (shrink)

Mujerista Theology, the name given to the groundbreaking work of Ada María Isasi-Díaz, can be understood as a constellation, with each star symbolizing its various concepts, themes, and theories, all forming a pattern that can be perceived from a distance. This pattern — the legacy of mujerista theology — changes as these stars shift against the celestial backdrop over time. This essay explores the implications of Mujerista Theology for social change by exploring three ‘stars’ of the Mujerista Theology constellation — (...) mestizaje-mulatez, lo cotidiano, and subversive narratives — and examining some of the underlying presuppositions operative in Mujerista Theology. It contends that Mujerista Theology significantly contributes to the social change strategies of liberationist, feminist, and Hispanic theologies. (shrink)

There is a constructive method to define a structure of simple k -cyclic Post algebra of order p , L p , k , on a given finite field F ( p k ), and conversely. There exists an interpretation Φ 1 of the variety $${\mathcal{V}(L_{p,k})}$$ generated by L p , k into the variety $${\mathcal{V}(F(p^k))}$$ generated by F ( p k ) and an interpretation Φ 2 of $${\mathcal{V}(F(p^k))}$$ into $${\mathcal{V}(L_{p,k})}$$ such that Φ 2 Φ 1 ( B ) (...) = B for every $${B \in \mathcal{V}(L_{p,k})}$$ and Φ 1 Φ 2 ( R ) = R for every $${R \in \mathcal{V}(F(p^k))}$$. In this paper we show how we can solve an algebraic system of equations over an arbitrary cyclic Post algebra of order p, p prime, using the above interpretation, Gröbner bases and algorithms programmed in Maple. (shrink)

This paper analyses the details that characterized the negotiation and collection of the servicio de los naturales from the year 1603 onwards, the last time of those three in which moriscos of Granada paid to the Hispanic Monarchy after the Alpujarras War, when they were settled in Castile. The author has analysed documents coming from the Archivo General de Simancas, but also those included in notary’s protocols and in local archives. Its main contributions are three: to publish the content of (...) the actual contract signed by the moriscos and the Crown; to contribute to set up a precise spatial distribution of the communities that paid the tax and, finally, to show the amounts delivered by them. Irregularities, problems, and conflicts lived while the precedent servicios were being paid, are analysed too. There are aspects that we know thanks to other previous works. Nevertheless, if they are considered in relation with the situation of the year 1603, they allow observing that all those difficulties were used in order to improve the servicio itself and the agreement between the minority and the King. (shrink)

A cognitive assessment strategy that is not limited to examining a set of summary test scores may be more helpful for early detection of emergent illness such as Alzheimer’s disease (AD) and may permit a better understanding of cognitive functions and dysfunctions in those with AD and other dementia disorders. A revisit of the work already undertaken by Kaplan and colleagues using the Boston Process-Approach provides a solid basis for identifying new opportunities to capture data on neurocognitive processes, test-taking strategies (...) and response styles. Thus, this critical review will combine traditional process-based assessment strategies with support provided or offered by newer technologies that have the potential to add value to data collection and interpretation. There is now considerable interest in neuropsychological test administration using computer/digital technology, both in research and in clinical settings. To add value, any computerized version of an existing cognitive test should respect the administration procedure for which normative data were obtained, should be time-saving in terms of scoring and interpretation, and should, we argue, facilitate gathering information about the processes and strategies followed in test completion. This article will offer an overview of the steps needed when implementing computerization of neuropsychological tests using a Process-Based Approach (PBA) to these technology-based adaptations and will discuss further developments in this area by linking it to future technological developments that may be possible in the area of neuropsychological assessment. Additionally, an overview of neuropsychological tests that may benefit from computerization will be presented, together with suggestions on the specific processes, strategies and features that may be captured with the aid of such computerization. Finally, hypotheses on how virtual reality could be an asset for the future of the PBA to neuropsychological assessment will also be discussed. (shrink)

We study 944 shareholder proposals submitted to 343 U.S. firms on climate change issues during 2009–2022. We use logistic and two-stage regression to estimate the propensity for a firm to be targeted or subjected to a vote at the annual general meeting and, for voted proposals, the determinants of that vote. We also examine whether climate-related proposals affect investor returns and how they relate to firms’ future environmental performance and greenhouse gas emissions. Compared to a matched sample, we first find (...) that activists target larger, more carbon-intensive, and less R&D-active firms. Second, voting likelihood is higher for firms with repeated and operations-related proposals and lower pre-proposal environmental ratings. By contrast, disclosure-related proposals are likelier to be negotiated and withdrawn. Third, repeated and operations-related proposals receive higher votes in favor, whereas votes on carbon-intensive firms do not. Fourth, building on the theory that investors act as if they distinguish among the different shareholder proposals based on the expected cost to the firm, we find evidence to support this idea. We find that investors respond negatively to ex-ante costlier proposals, such as those that relate to emissions reduction and target carbon-intensive firms. Fifth, targets’ future environmental performance rating is almost twenty percent higher after a proposal than before compared to the matched sample, whereas emissions do not budge appreciably. (shrink)

This article aims to pay heed to the rational and deliberative dimensions of moral agency within the project of moral enhancement. In this sense, it is presented how the technique of neurofeedback might contribute to the enhancement of moral deliberations and autonomy. Furthermore, this brain-computer interface is thought as a possible element of a Socratic moral assistant interested in improving moral enhancement within a model of full interaction between moral agents and such a moral assistant. This proposal does not embrace (...) the project of moral bioenhancement, centred in the improvement of moral emotions through neuropharmacology. Moreover it rejects the delegation of moral decision-making to moral artificial agents because this would mean that there is continuity between moral human and artificial moral agents. (shrink)

Mouthpiece interpreters of Plato such as Richard Kraut and Julia Annas believe that Plato had philosophical beliefs, doctrines, and theories that he intended to convey in his dialogues. We argue that some of their primary arguments for this approach to Plato are problematic and that there is a more promising approach to Plato’s dialogues than the mouthpiece interpretation, all things considered.

Mouthpiece interpreters of Plato such as Richard Kraut and Julia Annas believe that Plato had philosophical beliefs, doctrines, and theories that he intended to convey in his dialogues. We argue that some of their primary arguments for this approach to Plato are problematic and that there is a more promising approach to Plato’s dialogues than the mouthpiece interpretation, all things considered.