In this paper we present a collection of results related to the comparability of summands property of regressive isols. We show that if an infinite regressive isol has comparability of summands, then every predecessor of the isol has a weak comparability of summands property. Recently R. Downey proved that there exist regressive isols that are both hyper-torre and cosimple. There is a surprisingly close connection between non-recursive recursively enumerable sets and particular retraceable sets and (...) class='Hi'>regressive isols. We apply the theorem of Downey to show that among the regressive isols that are related to recursively enumerable sets there are some with a new property. (shrink)

We examine the action of unary Δ 0 2 functions on the regressive isols. A manageable theory is produced and we find that such a function maps Λ R into Λ if and only if it is eventually $R\uparrow$ increasing and maps Λ R into Λ R if and only if it is eventually recursive increasing. Our paper concludes with a discussion of other methods for extending functions to Λ R.

We give a correction to the paper [1] mentioned in the title.

We examine the action of unary $\Delta^0_2$ functions on the regressive isols. A manageable theory is produced and we find that such a function maps $\Lambda_R$ into $\Lambda$ if and only if it is eventually $R\uparrow$ increasing and maps $\Lambda_R$ into $\Lambda_R$ if and only if it is eventually recursive increasing. Our paper concludes with a discussion of other methods for extending functions to $\Lambda_R$.

In his long and illuminating paper [1] Joe Barback defined and showed to be non-vacuous a class of infinite regressive isols he has termed “complete y torre” isols. These particular isols a enjoy a property that Barback has since labelled combinatoriality. In [2], he provides a list of properties characterizing the combinatoria isols. In Section 2 of our paper, we extend this list of characterizations to include the fact that an infinite regressive isol X (...) is combinatorial if and only if its associated Dekker semiring D satisfies all those Π2 sentences of the anguage LN for isol theory that are true in the set ω of natural numbers. of the various function and relation symbols of LN via the “lifting ” to D of their Σ1 definitions in ω coincide with their interpretations via isolic extension.) We also note in Section 2 that Π2-correctness, for semirings D, cannot be improved to Π 3-correctness, no matter how many additional properties we succeed in attaching to a combinatoria isol; there is a fixed equation image sentence that blocks such extension. In Section 3, we provide a proof of the existence of combinatorial isols that does not involve verification of the extremely strong properties that characterize Barback's CT isols. (shrink)

In this paper we present a contribution to a classical result of E. Ellentuck in the theory of regressive isols. E. Ellentuck introduced the concept of a hyper-torre isol, established their existence for regressive isols, and then proved that associated with these isols a special kind of semi-ring of isols is a model of the true universal-recursive statements of arithmetic. This result took on an added significance when it was later shown that for (...) class='Hi'>regressive isols, the property of being hyper-torre is equivalent to being hereditarily odd-even. In this paper we present a simplification to the original proof for establishing that equivalence. (shrink)

In this paper we introduce a collection of isols having some interesting properties. Imagine a collection W of regressive isols with the following features: u, v ϵ W implies that u ⩽ v or v ⩽ u, u ⩽ v and v ϵ W imply u ϵ W, W contains ℕ = {0,1,2,…} and some infinite isols, and u eϵ W, u infinite, and u + v regressive imply u + v ϵ W. That such (...) a collection W exists is proved in our paper. It has many nice features. It also satisfies u, v ϵ W, u ⩽ v and u infinite imply v ⩽ g for some recursive combinatorial function g, and each u ϵ W is hereditarily odd-even and is hereditarily recursively strongly torre. The collection W that we obtain may be characterized in terms of a semiring of isols D introduced by J. C. E. Dekker in [5]. We will show that W = D, where c is an infinite regressive isol that is called completely torre. (shrink)

If T is an isol let D(T) be the least set of isols which contains T and is closed under predecessors and the application of almost recursive combinatorial functions. We find an infinite regressive isol T such that the universal theory (with respect to recursive relations and almost recursive combinatorial functions) of D(T) is the same as that of the nonnegative integers.

ld English manors have their ghosts. And though I would not want to call analytic philosophy a ‘manor’, nor exactly ‘old’, it certainly is of some decent English origin, and it left adolescence a while ago. No wonder then, that it is not exempt from haunting terrors. One particular spectre has been haunting it for decades; it already gave some analytic pioneers the creeps, and we still now and then find people terrified by it: the ghost of old Bradley has (...) not yet found its rest and keeps on threatening people with his notorious regress. The present essay is a lecture in exorcism; much of the fear old Bradley spread, so I will argue, peters out once we dare to look it in the eye. However, this essay is not primarily exegetical, and especially not an attempt in interpreting Bradley. I find Bradley’s writings, to say the least, not particularly accessible. Discussions of isolated passages from his longer treatises will probably be less fruitful than a careful study of the positions within the whole argumentative structure, supplied by the examination of Bradley’s intellectual upcoming. His treatments on relations and properties, in which he develops the famous regress argument, are motivated by a radical goal: a vindication of some form of monism. To reach this goal, he tries to deconstruct the most basic categories of our ordinary conceptual framework. Thus, he holds that.. (shrink)

We solve a question of McLaughlin by showing that if A is a regressive co-simple isol, there is a co-simple regressive isol B such that the intersection type of A and B is trivial. The proof is a nonuniform 0 priority argument that can be viewed as the execution of a single strategy from a 0-argument. We establish some limit on the properties of such pairs by showing that if AxB has low degree, then the intersection type of (...) A and B cannot be trivial. (shrink)

In [14] J. Hirschfeld established the close connection of models of the true AE sentences of Peano Arithmetic and homomorphic images of the semiring of recursive functions. This fragment of Arithmetic includes most of the familiar results of classical number theory. There are two nice ways that such models appear in the isols. One way was introduced by A. Nerode in [20] and is referred to in the literature as Nerode Semirings. The other way is called a tame model. (...) It is very similar to a Nerode Semiring and was introduced in [6]. The model theoretic properties of Nerode Semirings and tame models have been widely studied by T. G. McLaughlin ([16], [17], and [18]). In this paper we introduce a new variety of tame model called a torre model. It has as a generator an infinite regressive isol with a nice structural property relative to recursively enumerable sets and their extensions to the isols. What is then obtained is a nonstandard model in the isols of the Π0 2 fragment of Peano Arithmetic with the following property: Let T be a torre model. Let f be any recursive function, and let fΛ be its extension to the isols. If there is an isol A with fΛ(A)∈ T, then there is also an isol B∈ T with fΛ(B) = fΛ(A). (shrink)

Care-dependency constitutes an important issue with regard to the approval of end-of-life decisions, yet attitudes towards assisted suicide and euthanasia are understudied among care-dependent older adults. We assessed attitudes towards assisted suicide and euthanasia and tested empirical correlates, including socio-demographics, religiosity, physical illness, psychological distress and social isolation. A nationwide cross-sectional survey among older care allowance recipients in private households in Austria was conducted in 2016. In computer-assisted personal interviews, 493 respondents were asked whether or not they approved of the (...) availability of assisted suicide and euthanasia in case of long-term care dependency and whether or not they would consider using assisted suicide or euthanasia for themselves. Multiple logistic regression analysis was used to assess the impact of potential determinants of attitudes towards assisted suicide and euthanasia. About a quarter of the sampled care-dependent older adults approved of the availability of assisted suicide and euthanasia respectively indicated the will to make use of assisted suicide or euthanasia. Attitudes towards assisted suicide were most favourable among care-dependent older adults living in urban areas, those who did not trust physicians, those who reported active suicide ideation, and individuals with a strong fear of dying. With regard to euthanasia, living alone, religiosity and fear of dying were the central determinants of acceptance. Positive attitudes towards and will to use assisted suicide and euthanasia were expressed by a substantial minority of care-dependent older adults in Austria and are driven by current psychological suffering and fear of the process of dying in the future. Community-based psychosocial care should be expanded to address psychological distress and fears about end-of-life issues among care-dependent older adults. (shrink)

Background Care-dependency constitutes an important issue with regard to the approval of end-of-life decisions, yet attitudes towards assisted suicide and euthanasia are understudied among care-dependent older adults. We assessed attitudes towards assisted suicide and euthanasia and tested empirical correlates, including socio-demographics, religiosity, physical illness, psychological distress and social isolation. Methods A nationwide cross-sectional survey among older care allowance recipients in private households in Austria was conducted in 2016. In computer-assisted personal interviews, 493 respondents were asked whether or not they approved (...) of the availability of assisted suicide and euthanasia in case of long-term care dependency and whether or not they would consider using assisted suicide or euthanasia for themselves. Multiple logistic regression analysis was used to assess the impact of potential determinants of attitudes towards assisted suicide and euthanasia. Results About a quarter of the sampled care-dependent older adults approved of the availability of assisted suicide and euthanasia respectively indicated the will to make use of assisted suicide or euthanasia. Attitudes towards assisted suicide were most favourable among care-dependent older adults living in urban areas, those who did not trust physicians, those who reported active suicide ideation, and individuals with a strong fear of dying. With regard to euthanasia, living alone, religiosity and fear of dying were the central determinants of acceptance. Conclusions Positive attitudes towards and will to use assisted suicide and euthanasia were expressed by a substantial minority of care-dependent older adults in Austria and are driven by current psychological suffering and fear of the process of dying in the future. Community-based psychosocial care should be expanded to address psychological distress and fears about end-of-life issues among care-dependent older adults. (shrink)

The life we considered normal was disrupted due to measures taken to limit the spread of the novel coronavirus. Quarantine, isolation, social distancing, and community containment have influenced consumer behavior and contributed to the rapid development of e-commerce. In pandemic times, even those unfamiliar with the online environment have had to adapt and make acquisitions in this new manner. Hence, we focused our research on measuring the perception of consumers on how the restrictive measures imposed to limit the spread of (...) the COVID-19 virus had influenced their decision to buy a product or service from the online environment, given that purchases are highly subjective and influenced by cumulative effects of economic, social, psychological and behavioral factors. Our paper comes with additional insights from the literature. It adds empirical evidence that reveals that the number of transactions and the value per transaction increased during the COVID-19 pandemic and highlights that online purchases will continue as such even after the pandemic. (shrink)

We construct a recursive ultrapower F/U such that F/U is a tame 1-model in the sense of [6, §3] and FU is existentially incomplete in the models of II2 arithmetic. This enables us to answer in the negative a question about closure with respect to recursive fibers of certain special semirings Γ of isols termed tame models by Barback. Erik Ellentuck had conjuctured that all such semirings enjoy the closure property in question. Our result is that while many do, (...) some do not. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Looking Beyond Neoliberalism: French and Fran-cophone Belgian Cinema and the Crisis by Martin O’ShaughnessyJoseph MaiO’Shaughnessy, Martin. Looking Beyond Neoliberalism: French and Fran-cophone Belgian Cinema and the Crisis. Edinburgh University Press, 2022. 224pp.Martin O’Shaughnessy has devoted a career to scouring the intersections of politics, identity, and contemporary French cinema, perhaps most notably in his 2007 book, The New Face of Political Filmmaking. In a review in Cineaste, Jonathan Buchsbaum (...) called that book “theoretically sophisticated” and a “powerful and eloquent polemic for retaining a class analysis of film” (90). According to Buchsbaum, The New Face asked “the central question of how films can formulate political critiques after the collapse of the grand leftist narrative(s) of the twentieth century” (89). O’Shaughnessy’s new book, Looking Beyond Neoliberalism: French and Francophone Belgian Cinema and the Crisis, is a major publication with similar qualities of theoretical breadth, and is also once again inspired by cinematic attempts to envision different political futures.Things have not gotten better since 2007. The “crisis” of O’Shaughnessy’s title does not refer narrowly to the financial meltdown of 2007–2008 and subsequent government-funded bailouts. Crisis is not an event requiring austerity (disguised as “courageous decision-making”), but in many senses the essence of global neoliberalism, or as the frequently cited Maurizio Lazzarato puts it: “the form of government of contemporary capitalism” (qtd. in O’Shaughnessy 5). The 2008 crisis has, if anything, made this form of government ever more visible, and ever more punitive and essential to Western industrial societies. With a mastery of the philosophical critique of neoliberalism, O’Shaughnessy unpacks how the logic of crisis habituates the subject to self-entrepreneurship, debt, social and political isolation, conformism, precarity, social violence, and nihilism.The book looks at these issues through cinematic works by French and Belgian Francophone filmmakers, ranging from popular auteurs like Jacques Audiard and Luc Besson to more critically political filmmakers like the Dardenne brothers or Laurent Cantet. O’Shaughnessy is not looking only for thematic representations; he also seeks new answers in films that respond to, flee, or resist neoliberalism. Like the Occupy or Nuit Debout movements, much of this cinema seeks to reformulate identifications and cultivate political resistance, though O’Shaughnessy warns us early on [End Page 117] that we are not in a place “where there is a cohesive political cinema” (9). There is, therefore, a refreshingly normative concern throughout the book: the most valuable films seek paths toward social encounter, re-assemblage of identity categories, lives that are not defined through debt, and a future in which crisis and precarity do not structure action.The first three chapters focus on the “crisis of the neoliberal subject” (6). Chapter 1 approaches the work of Jacques Audiard, who has at times been read as reinforcing regressive gender roles and at other times embracing a rather more disruptive masculinity. Bringing the lens of the neoliberal subject to bear on films like Un prophète (2009) or Un héros très discret (1996), O’Shaughnessy emphasizes Audiard’s use of crime-genre filmmaking as a parallel to capitalism, and the genre hero as a corollary to the bourgeois entrepreneurial male subjectivity it fosters and puts into crisis. Desperately, Audiard’s masculine subjects rehearse, recreate, and “perfect” themselves, initiate profitable collaboration, self-define through flexibility, improvisation, and competence, in ways that are hallmarks of, but do not surpass, an internalized neoliberal subjectivity.Chapter 2 examines how the mechanisms of debt influence characters’ beliefs and actions. What does it mean, in works by the Dardenne brothers, Laurent Cantet, and Mia Hansen-Løve, to be “man in debt” (54)? O’Shaughnessy explores debt’s temporality as it limits the possibilities of the future by tying actions to the obligations of repayment. In Le silence de Lorna (2010), Lorna is enrolled in a logic of indebtedness in exchange for papers to cross borders, at the expense of another human, Claudy. Caught in an “overarching tension between systemic violence and an ethical commitment to the Other” (45), she seeks a way out in increasingly irrational attempts to escape. Vincent, the protagonist of L’emploi du temps... (shrink)

ObjectiveLong-term isolation, including lockdowns and quarantines, may have a distressing effect on anyone experiencing it. Adolescent brain architecture is very sensitive to environmental adversities, and the mental health development of adolescents may be particularly vulnerable during the pandemic era. In order to better understand the triggers for perceived adolescent stress during the COVID-19 lockdown, the present study aimed to assess the effects of social well-being and changes in time use during the lockdown, as well as the family COVID experience of (...) adolescents.MethodsThe sample for this study comprised n = 3,440 adolescents. Bayesian correlations between PSS, health and well-being variables were assessed. PSS was then modeled as an outcome variable in a series of nested Bayesian multilevel regression models.ResultsThe negative impact of the COVID-19 lockdown was more apparent in girls. PSS was moderately correlated with adolescent health and well-being. The strongest predictor of higher level of PSS was frequent feeling of loneliness. On the contrary, lower level of PSS was most associated with having someone to talk to.ConclusionLong-term social isolation of adolescents could be harmful to their mental health. Psychological coping strategies to prevent the consequences of social isolation and development of mental health problems should be promoted on the individual, family, and even community level. (shrink)

Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...) by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, _Entities_ is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities. (shrink)

Once upon a time, coherentism was the dominant response to the regress problem in epistemology, but in recent decades the view has fallen into disrepute: now almost everyone is a foundationalist (with a few infinitists sprinkled here and there). In this paper, I sketch a new way of thinking about coherentism, and show how it avoids many of the problems often thought fatal for the view, including the isolation objection, worries over circularity, and concerns that the concept of coherence is (...) too vague or metaphorical for serious theoretical use. The key to my approach is to take a familiar tool from discussions of the regress problem -- namely, directed graphs depicting the support relations between beliefs -- and to use that tool in a more sophisticated manner than it is standardly employed. (shrink)

This study investigates professional tax practitioners' ethical judgments and behavioral intentions in cases involving client pressure to adopt aggressive reporting positions, an issue that has been identified as the most difficult ethical/moral problem facing public accounting practitioners. The multidimensional ethics scale (MES) was used to measure the extent to which a hypothetical behavior was consistent with five ethical philosophies (moral equity, contractualism, utilitarianism, relativism, and egoism). Responses from a sample of 67 tax professionals supported the existence of all dimensions of (...) the MES other than egoism. Regressions of ethical judgments and behavioral intentions on the MES dimensions indicate that ethical decision making is most heavily influenced by the moral equity dimension, followed by the contractualism dimension. In contrast, the utilitarianism and relativism dimensions were only related to ethical judgments and behavioral intentions in isolated instances. (shrink)

The recent global outspread of the COVID-19 pandemic has influenced the lives of people across multiple countries including athletes, coaches, and supporting staff. Along with everybody else, coaches found themselves constrained to an at-home self-isolation, which limited their ability to normally engage with their profession and to interact with their athletes. This situation may also have impacted their own psychological well-being. With this study, we explored coaches’ perceptions of stress in relation to their emotion regulation strategies depending upon their gender (...) and competitive level. A sample of 2272 Italian coaches were surveyed during the period of lockdown. Mean values for perceived stress and emotion regulation strategies were compared to normative data of the two instruments as reported in the original studies. Furthermore, two Multivariate analyses of variance were completed to observe the potential differences in the coaches’ emotion regulation strategies and perception of stress. Finally, a blockwise regression analysis was run to assess how coaches’ emotion regulation strategies impacted upon their perception of stress. Both women and men reported higher levels of perceived stress than those reported in the normative data. Similarly, average scores for emotion regulation strategies were significantly different from those reported for normative data, in particular, coaches reported slightly higher use of emotion regulation strategies than participants in the original study. Significant gender-based differences emerged in terms of emotional regulations, with men adopting more suppression than women. No differences by competitive level were found. In terms of perceived stress, male coaches and elite coaches showed to be more in control of the situation than female coaches and non-elite coaches, respectively, while women experienced more negative stress than men. The blockwise regression evidenced how reappraisal resulted to be predictive in helping coaches to reduce their perception of stress, while suppression predicted higher stress perceptions. (shrink)

The concept of experience by John Dewey revisited: conceiving, feeling and “enliving”. Dewey takes a few steps towards a differentiation of the concept of experience, such as the distinction between primary and secondary experience, or between ordinary (partial, raw, primitive) experience and complete, aesthetic experience. However, he does not provide a systematic elaboration of these distinctions. In the present text, a differentiation of Dewey’s concept of experience is proposed in terms of feeling, “enliving” (a neologism proposed in this paper) and (...) conceiving. Feeling refers to the basic mode of experience where action, emotion, cognition and communication constitute an original unity. Enliving, aesthetic experience, constitutes the lifeworld, as a person-in-world experience. Even though enliving is holistic and relational, a certain distance emerges between action, emotion and cognition which allows contemplation and choice. Conceiving, on the other hand, refers to the isolating and abstracting understanding of the world with even greater distance between action, emotion and cognition. Such a differentiation provides a clearer understanding of the scope of education. It avoids the risks of regressive tendencies in the concept of experience, and it helps to include conceiving within the realm of experience. (shrink)