We show that the actuality operator A is redundant in any propositional modal logic characterized by a class of Kripke models (respectively, neighborhood models). Specifically, we prove that for every formula ${\phi}$ in the propositional modal language with A, there is a formula ${\psi}$ not containing A such that ${\phi}$ and ${\psi}$ are materially equivalent at the actual world in every Kripke model (respectively, neighborhood model). Inspection of the proofs leads to corresponding proof-theoretic results concerning the eliminability of the actuality (...) operator in the actuality extension of any normal propositional modal logic and of any “classical” modal logic. As an application, we provide an alternative proof of a result of Williamson’s to the effect that the compound operator A□ behaves, in any normal logic between T and S5, like the simple necessity operator □ in S5. (shrink)
A semantics for quantified modal logic is presented that is based on Kleene's notion of realizability. This semantics generalizes Flagg's 1985 construction of a model of a modal version of Church's Thesis and first-order arithmetic. While the bulk of the paper is devoted to developing the details of the semantics, to illustrate the scope of this approach, we show that the construction produces (i) a model of a modal version of Church's Thesis and a variant of a modal set theory (...) due to Goodman and Scedrov, (ii) a model of a modal version of Troelstra's generalized continuity principle together with a fragment of second-order arithmetic, and (iii) a model based on Scott's graph model (for the untyped lambda calculus) which witnesses the failure of the stability of non-identity. (shrink)
Current evolutionary and cognitive theories of religion posit that supernatural agent concepts emerge from cognitive systems such as theory of mind and social cognition. Some argue that these concepts evolved to maintain social order by minimizing antisocial behavior. If these theories are correct, then people should process information about supernatural agents’ socially strategic knowledge more quickly than non-strategic knowledge. Furthermore, agents’ knowledge of immoral and uncooperative social behaviors should be especially accessible to people. To examine these hypotheses, we measured response-times (...) to questions about the knowledge attributed to four different agents—God, Santa Claus, a fictional surveillance government, and omniscient but non-interfering aliens—that vary in their omniscience, moral concern, ability to punish, and how supernatural they are. As anticipated, participants respond more quickly to questions about agents’ socially strategic knowledge than non-strategic knowledge, but only when agents are able to punish. (shrink)
ABSTRACTDepression is associated with increased emotional response to stress. This is especially the case during the developmental period of adolescence. Cognitive reappraisal is an effective emotion regulation strategy that has been shown to reduce the impact of emotional response on psychopathology. However, less is known about whether cognitive reappraisal impacts the relationship between depressive symptoms and emotional responses, and whether its effects are specific to emotional reactivity or emotional recovery. The current study examined whether cognitive reappraisal moderated the relationship between (...) depressive symptoms and trait or state measures of emotional reactivity and recovery. A community sample of 127 adolescents, at an age of risk for depression, completed self-report measures of trait emotional responding and depressive symptoms. In addition, they completed an in vivo social stress task and were assessed on state emotional reactivity and recove... (shrink)
Through an engagement with Sylvia Wynter, this article explores how black feminist critiques of the human can inform critical genealogies of religion. Specifically, the article develops a theoretical framework to interrogate how the modern construction of religion and the secular also produces racial identities and hierarchies. To draw attention to the global dimensions of this project, the article foregrounds the seminal work of Jason Ā. Josephson-Storm in his book, The Invention of Religion in Japan. The article argues that studies like (...) Josephson-Storm's show how religion helps transform existing forms of social organization within a bio-evolutionary conception of the nation, and is used by the state to differentiate between who can be considered fully human and who cannot. In this process “superstition” or “irrationality” is rewritten as a biological threat to the health and well-being of “the people,” and political domination is represented as a struggle to purify the nation. (shrink)
In [7], open questions are raised regarding the computational strengths of so-called ∞-α -Turing machines, a family of models of computation resembling the infinite-time Turing machine model of [2], except with α -length tape . Let TαTα denote the machine model of tape length α . Define that TαTα is computationally stronger than TβTβ precisely when TαTα can compute all TβTβ-computable functions ƒ: min2→min2 plus more. The following results are found: Tω1≻TωTω1≻Tω. There are countable ordinals α such that Tα≻TωTα≻Tω, the (...) smallest of which is precisely γ , the supremum of ordinals clockable by TωTω. In fact, there is a hierarchy of countable TαTαs of increasing strength corresponding to the transfinite Turing-jump operator ▼. There is a countable ordinal μ such that neither Tμ⪰Tω1Tμ⪰Tω1 nor Tμ⪯Tω1Tμ⪯Tω1—that is, the models TμTμ and Tω1Tω1 are computation-strength incommensurable . A similar fact holds for any larger uncountable device replacing Tω1Tω1. Further observations are made about countable TαTα. (shrink)
Mental health professionals rightfully experience significant anxiety regarding their duty to protect when working with potentially dangerous individuals. This work dispels myths and provides readers with a resource addressing the situations where a duty to protect may apply.
Transfinite recursion is an essential component of set theory. In this paper, we seek intrinsically justified reasons for believing in recursion and the notions of higher computation that surround it. In doing this, we consider several kinds of recursion principles and prove results concerning their relation to one another. We then consider philosophical motivations for these formal principles coming from the idea that computational notions lie at the core of our conception of set. This is significant because, while the iterative (...) conception of set has been widely recognized as insufficient to establish replacement and recursion, its supplementation by considerations pertaining to algorithms suggests a new and philosophically well-motivated reason to believe in such principles. (shrink)
Drawing from a multi-sourced data corpus gathered from high-net-worth social media influencers, this article explores how these individuals reconcile ethicality and living a luxury lifestyle through the enactment of three types of personas on Instagram: Ambassador of ‘True’ Luxury, Altruist, and ‘Good’ Role Model. By applying the concepts of taste regimes and social moral licensing, we find that HNW social media influencers conspicuously enact and display ethicality, thereby retaining legitimacy in the field of luxury consumption. As these individuals are highly (...) influential, they could leave a potentially significant mark on public discourse and, consequently, on their audiences’ construction of ethically responsible luxury consumption. In this vein, this article offers significant managerial insights into professional influencers and discusses ethical managerial practices to ensure ethical collaborations between influencers and managers. (shrink)
This article compares two versions of a story about a Tibetan Buddhist monk, Sgra tshad pa Rin chen rnam rgyal, who engages in sexual intercourse with a laywoman. The authors of these two narratives, dating from the fifteenth and nineteenth centuries, each provide a different rationale for the monk’s behavior. In the earlier telling, Rin chen rnam rgyal is said to have “eased the suffering” of a “lust-crazed” woman, conducting himself virtuously, as a bodhisattva. In the later telling, the monk (...) is forcibly seduced by his patron and he adheres to a provision found in the Mūlasarvāstivāda Vinaya, which specifies that the usual punishment intended for a Vinaya transgression of sexual intercourse—loss of communion from the order—may be commuted if the act has not been concealed from others. This article focuses on the transformation of the story and proposes that its changes contribute to the author’s wider commentary on strict Vinaya observance as an element of Buddhist monastic exemplarity. (shrink)
The paper develops a conceptual framework for understanding the work of ethical remembrance in the classroom. Using David Hansen’s recent example of using Sebald’s novels in his classroom to do the work or remembrance, the paper argues that the effect of Sebald’s novels is best understood using Walter Benjamin’s figure of the angel of history. That figure indicates a view of history that goes beyond the progression of everyday time, to one called remembrance. The paper suggests that the work (...) of mourning effects such remembrance, but simultaneously points to hope through the emergence of weak messianic power. (shrink)
Philosophers of science have long been concerned with the question of what a given scientific theory tells us about the contents of the world, but relatively little attention has been paid to how we set out to build theories and to the relevance of pre-theoretical methodology on a theory’s interpretation. In the traditional view, the form and content of a mature theory can be separated from any tentative ontological assumptions that went into its development. For this reason, the target of (...) interpretation is taken to be the mature theory and nothing more. On this view, positions on ontology emerge only once a theory is to hand, not as part of the process of theory building. Serious attention to theory creation suggests this is too simple. In particular, data collection and experimentation are influenced both by theory and by assumptions about the entities thought to be the target of study. Initial reasoning about possible ontologies has an influence on the choice of theoretical variables as well as on the judgments of the methodology appropriate to investigate them. (shrink)
Recent discussions of ontology have shown an interest in the relation between logic, language and ontology. Quine, for example, has shown how sentences translated into canonical form determine ontological commitment in terms of the values over which bound variables range, while Strawson has maintained that conditions inherent to language determine a system of ontological concepts. But in these discussions the role linguistics might have in the construction of ontological schemes is seldom seriously considered. Except for Benjamin Lee Whorf’s examination (...) through the use of descriptive linguistic techniques of the relation between ontological schemes and the structure of languages, little has been done to apply the results of linguistic research to questions of ontology. In the past this could be attributed to the absence in structural linguistics of significant generalizations about language above the morphophonemic level. This situation has altered with the development of transformational linguistic theory. That theory contains an extensive set of generalizations about the form and content of any natural language. (shrink)
In the United States, the implementation of a successful system of mandated reporting of suspected child abuse continues to be plagued by the absence of a clear standard for when one must report. All 50 states of the U.S. have laws requiring certain individuals to report suspected child abuse. However, at present, there are variable thresholds for mandated reporting and no clear consensus on how existing thresholds should be interpreted. Because “child abuse” is often present as a possible etiology for (...) injuries and non-infectious conditions that beset children, it is problematic to suggest that “the mere possibility of child abuse” qualifies as cause to report. In an effort to move toward a more effective system of mandated reporting of child maltreatment, this paper discusses how the absence of a clear threshold affects mandated reporters, examines the relevant legal and conceptual issues, and suggests future directions for policy, practice, and research. (shrink)
One finds throughout the history of philosophy repeated though apparently unsuccessful attempts to decide upon the nature or essence of language. This is not a trivial problem. When philosophers themselves have tried to resolve it they seem inevitably to postulate some nonovert level of linguistic form which is more basic to language than its overt grammatical forms. Now linguists have become involved in making similar claims. This is in large measure due to Noam Chomsky’s revolutionary work in transformational generative grammar, (...) research which has lead to a new conception of the goals and nature of linguistic theory. Whatever might be the ultimate fate of Chomsky’s own proposals concerning the nature of language, his insistence on descriptive precision and on theoretically sophisticated models in linguistics will remain paradigmatic. What is in fact most revolutionary about transformational linguistics is not the construction of precise and detailed grammars per se, but the parallel claim that there exist underlying realities of language which to a large extent dictate its overt form and content. For Chomsky these realities are part of the deep structure of language. Although other linguists do not share his view that there is an exclusively syntactically based deep structure, transformationalists generally do agree that there is some linguistic level underlying surface structure which accounts for it. Disagreement exists over the nature of this underlying reality, and it is on this issue that linguistics has a significant point of contact with philosophy. (shrink)
Se trata de unareflexión interdisciplinar, a partir de W. Benjamin, sobre las relaciones entre experiencia, tiempo y memoriahistórica. La 1. parte analiza el empobrecimiento moderno de la Erfahrung que genera una“nueva barbarie”, a la vez que expenmentación innovadora, y que reclama un concepto más rico de experiencia, ligada ala totalidad concrete de la existencia. La 2. señala algunas paradojas de la memoria, muestra la inconsistencia del tiempo, cristalizado en el mito de Cronos, comoprincipio ordenador, y toma en consideración experiencias (...) relevantes que requieren concebir otro tiempo. En esa dirección, la 3. parte desarrolla la idea de Jetztze¡t, nucleo de la concepción crítica de la historia como tradición de los oprimidos, en cuyos bistantes de peligro relanipagea el angelus novus.Il s’agit d’une reflexion interdisciplinaire sur les liaisons entre expérience, temps et bistoire. La lére partie analyse l’appauvrissement moderne de l’Erfahrung, qui produit, selon W. Benjaniin, experimentation créatice et á la fois “une nouvelle barbarie”, et qui exige la construction d’un concept plus tiche d’expérience, liée á la totalité concréte de l’existence. La 2&me ¡nontre quelques paradoxes de la mémoire, sovligne ]‘inconsistance dv lemps comino principe d’ordre, et rappelle l’existence d’expériences qui demandent un autre concept du temps. La 3éme partie developpe ¡‘idee benjaininienne de Jetztzeit, noyau de sa conception critique de l’histoire conune tradition des opprimés, et analyse particuliérement la figure de l’angelus novus. (shrink)
A father brings his six-year-old daughter and her older sister to their pediatrician to be evaluated for a history of cough, runny nose, and low-grade fever. In addition to signs of a cold, the girl's nasal bridge is quite swollen and bruised. When asked how her nose was injured, she shrugs, and her father's only conjecture is that she sleepwalks and might have bumped into something. The father sits impatiently and as questioning progresses becomes increasingly defensive, at one point angrily (...) declaring, “We don't beat our kids, if that's what you’re asking.” Further complicating the situation is information from nurses that this family is “on the brink” socially and financially, and that additional stress is likely “to blow this family apart.” A careful physical exam identifies no other injuries, and a thorough review reveals no evidence of prior suspicious injuries, frequent visits to the emergency room, or bleeding abnormalities. The evidence does not point to abuse as the most likely explanation for the injury, but it clearly is not ruled out. Should one report this family for suspected abuse? Is one required to report? (shrink)
