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)

Physics and Philosophy is a collection of essays previously published in sources as diverse as Philosophy of Science and Yale Alumni Magazine. Margenau has appended to these essays a brief autobiography, a bibliography, and an apology for a "redundancy of emphasis" in the collection.

This article deals with a highly debated text, namely 2 Maccabees 12, specifically the problematic verses (38–45) which contain a theology that is distinctly non-Jewish in import. Indeed, most recent scholars concerned with this passage do not seem to be unanimous apropos the best interpretation of the events that are described, resulting in a range of different opinions concerning, inter alia, the afterlife, purgatory and/or doctrinal disputes between Pharisees and Sadducees. By means of an interpretivist or constructivist epistemology, the authors (...) advocate that normally, traditional Judaism emphasises personal, individual responsibility and accountability, whereas in this text God is portrayed as requiring material, financial payment for wrongdoing and not individual תשובה [teshuvah]. This is in contradistinction to, inter alia, Exodus 30:11–16 and theologically Jewish ‘transgression’ has clearly metamorphosed into Christian ‘sin’. In addition, Judas Maccabeus seems to have retained a half-shekel methodology (employed for Jewish men of military age – soldiers) whilst emphasising the ‘atonement for your lives’ from Exodus 30:11–16 in a more literalistic, materialistic, non-Jewish sense whilst de-emphasising the real need to maintain the Temple as well as the proper, traditional rules of תשובה. (shrink)

Comparative genomics has proven a fruitful approach to acquire many functional and evolutionary insights into core cellular processes. Here it is argued that in order to perform accurate and interesting comparative genomics, one first and foremost has to be able to recognize, postulate, and revise different evolutionary scenarios. After all, these studies lack a simple protocol, due to different proteins having different evolutionary dynamics and demanding different approaches. The authors here discuss this challenge from a practical (what are the observations?) (...) and conceptual (how do these indicate a specific evolutionary scenario?) viewpoint, with the aim to guide investigators who want to analyze the evolution of their protein(s) of interest. By sharing how the authors draft, test, and update such a scenario and how it directs their investigations, the authors hope to illuminate how to execute molecular evolution studies and how to interpret them. Also see the video abstract here https://youtu.be/VCt3l2pbdbQ. (shrink)

The processes underwriting the acquisition of culture remain unclear. How are shared habits, norms, and expectations learned and maintained with precision and reliability across large-scale sociocultural ensembles? Is there a unifying account of the mechanisms involved in the acquisition of culture? Notions such as “shared expectations,” the “selective patterning of attention and behaviour,” “cultural evolution,” “cultural inheritance,” and “implicit learning” are the main candidates to underpin a unifying account of cognition and the acquisition of culture; however, their interactions require greater (...) specification and clarification. In this article, we integrate these candidates using the variational (free-energy) approach to human cognition and culture in theoretical neuroscience. We describe the construction by humans of social niches that afford epistemic resources called cultural affordances. We argue that human agents learn the shared habits, norms, and expectations of their culture through immersive participation in patterned cultural practices that selectively pattern attention and behaviour. We call this process “thinking through other minds” (TTOM) – in effect, the process of inferring other agents’ expectations about the world and how to behave in social context. We argue that for humans, information from and about other people's expectations constitutes the primary domain of statistical regularities that humans leverage to predict and organize behaviour. The integrative model we offer has implications that can advance theories of cognition, enculturation, adaptation, and psychopathology. Crucially, this formal (variational) treatment seeks to resolve key debates in current cognitive science, such as the distinction between internalist and externalist accounts of theory of mind abilities and the more fundamental distinction between dynamical and representational accounts of enactivism. (shrink)

Given the strong mimetic and dramatic qualities found in Judith the authors make the suggestion that perhaps, before LXX Judith became a fixed, written text, the basic fabula might well have been part of an oral tradition. The authors accept that an appropriately written dramatic work, whether transmitted through reading or an oral presentation, by means of its performative qualities, has the potential to achieve immediacy. Here, the audience may become captivated with its own familiarity and memory of popular, communally (...) shared narratives. Accordingly, this article attempts to find evidence in the Greek text of LXX Judith for a possible oral precursor. In this context, corroboration is sought for the employment of verbal aspect and mood of the Greek language as well as instances of drama, theatrics, bodily gestures, mnemonic devices or special emphasis on the employment of the senses such as sight, taste and smell. The authors suggest that based on an analysis of the text of Chapter 13, there is much circumstantial evidence for the Judith fabula once being an oral narrative – one that embodies the dramatic and even encourages audience participation. This characteristic strongly suggests the removal of the fourth wall – the notion of an imaginary boundary between any fictional work and its audience. Contribution: This article shows that Judith 13 is indeed the climax of the narrative. However, it goes further. It is a vivid scene with various performative aspects. There are props, dialogue and audience participation. This research is cutting-edge and paves the way for new explorations. (shrink)

The Septuagint Book of Judith and its derivatives have had an enormous influence on the history of Western Europe and the Christian church. Judith has been employed in various situations to incite violence against a perceived opposition. In this regard, this article focuses on the climax of this book (Jdt 13:1–9) as performance text. In this context, many of the insights proffered by Perry in his seminal work Insights from Performance Criticism (2016) have been expanded upon from the perspective of (...) a Greek and/or Hellenistic environment.Contribution: The value of reading LXXJudith as performance is clearly demonstrated. The conclusion is reached that this pericope is indeed highly subversive. Suggestion is also made that, contrary to more conservative wisdom, with reference specifically to LXXJudith 13:1–9, the Judith fabula is not really reconciliatory in nature. Rather, it seems to provoke conflict between competing powers. (shrink)

Can business humanize its stakeholders? And if so, how does this relate to moral consideration for stakeholders? In this paper we compare two business orientations that are relevant for current business theory and practice: a stakeholder orientation and a profit orientation. We empirically investigate the causal relationships between business orientation, humanization, and moral consideration. We report the results of six experiments, making use of different operationalizations of a stakeholder and profit orientation, different stakeholders, and different participant samples. Our findings support (...) the prediction that individual stakeholders observing a stakeholder-oriented firm see the firm’s other stakeholders as more human than individual stakeholders observing a profit-oriented firm. This humanization, in turn, increases individual stakeholders’ moral consideration for the firm’s other stakeholders. Our findings underscore the importance of humanization for stakeholders’ moral consideration for each other. This paper contributes to a deeper understanding of the firm as a moral community of stakeholders. Specifically, we move away from a focus on managers, and how they can make business more moral. Instead we direct attention to stakeholders, and how business can make these stakeholders more moral. (shrink)

The target article “Thinking Through Other Minds” (TTOM) offered an account of the distinctively human capacity to acquire cultural knowledge, norms, and practices. To this end, we leveraged recent ideas from theoretical neurobiology to understand the human mind in social and cultural contexts. Our aim was bothsynthetic– building an integrative model adequate to account for key features of cultural learning and adaptation; andprescriptive– showing how the tools developed to explain brain dynamics can be applied to the emergence of social and (...) cultural ecologies of mind. In this reply to commentators, we address key issues, including: (1) refining the concept of culture to show how TTOM and the free-energy principle (FEP) can capture essential elements of human adaptation and functioning; (2) addressing cognition as an embodied, enactive, affective process involving cultural affordances; (3) clarifying the significance of the FEP formalism related to entropy minimization, Bayesian inference, Markov blankets, and enactivist views; (4) developing empirical tests and applications of the TTOM model; (5) incorporating cultural diversity and context at the level of intra-cultural variation, individual differences, and the transition to digital niches; and (6) considering some implications for psychiatry. The commentators’ critiques and suggestions point to useful refinements and applications of the model. In ongoing collaborations, we are exploring how to augment the theory with affective valence, take into account individual differences and historicity, and apply the model to specific domains including epistemic bias. (shrink)

We analyze the correspondence between a five-dimensional U(1)gauge invariant theory and four-dimensional scalar QED, where the fifth dimension (τ)is an invariant parameter of evolution of the manifestly covariant one-particle sector as well as for the full Fock space. The correspondence is represented by the limit in which the width of the photon mass distribution Δs tends to zero and large τ correlations occur. In the limiting procedure, calculation of a twopoint diagram shows that the PauliVillars regularization is intrinsically related to (...) these longrange correlations. (shrink)