A Topos Foundation for Theories of Physics: III. The Representation of Physical Quantities With Arrows

This paper is the third in a series whose goal is to develop a fundamentally new way of viewing theories of physics. Our basic contention is that constructing a theory of physics is equivalent to finding a representation in a topos of a certain formal language that is attached to the system. In paper II, we studied the topos representations of the propositional language PL(S) for the case of quantum theory, and in the present paper we do the same thing for the, more extensive, local language L(S). One of the main achievements is to find a topos representation for self-adjoint operators. This involves showing that, for any physical quantity A, there is an arrow \breve{\delta}^o(A):\Sig\map\SR, where \SR is the quantity-value object for this theory. The construction of $\breve{\delta}^o(A)$ is an extension of the daseinisation of projection operators that was discussed in paper II. The object \SR is a monoid-object only in the topos, $\tau_\phi$, of the theory, and to enhance the applicability of the formalism, we apply to \SR a topos analogue of the Grothendieck extension of a monoid to a group. The resulting object, \kSR, is an abelian group-object in $\tau_\phi$. We also discuss another candidate, \PR{\mathR}, for the quantity-value object. In this presheaf, both inner and outer daseinisation are used in a symmetric way. Finally, there is a brief discussion of the role of unitary operators in the quantum topos scheme.Comment: 38 pages, no figure

Collaboration between Science and Religious Education teachers in Scottish Secondary schools

The article reports on quantitative research that examines: (1) the current practice in collaboration; and (2) potential for collaboration between Science and Religious Education teachers in a large sample of Scottish secondary schools. The authors adopt and adapt three models (conflict; concordat and consonance) to interrogate the relationship between science and religion (and the perceived relation between these two subjects in schools) (Astley and Francis 2010). The findings indicate that there is evidence of limited collaboration and, in a few cases, a dismissive attitude towards collaboration (conflict and concordat and very weak consonance). There is, however, evidence of a genuine aspiration for greater collaboration among many teachers (moving towards a more robust consonance model). The article concludes by discussing a number of key factors that must be realised for this greater collaboration to be enacted

Primordialists and Constructionists: a typology of theories of religion

This article adopts categories from nationalism theory to classify theories of religion. Primordialist explanations are grounded in evolutionary psychology and emphasize the innate human demand for religion. Primordialists predict that religion does not decline in the modern era but will endure in perpetuity. Constructionist theories argue that religious demand is a human construct. Modernity initially energizes religion, but subsequently undermines it. Unpacking these ideal types is necessary in order to describe actual theorists of religion. Three distinctions within primordialism and constructionism are relevant. Namely those distinguishing: a) materialist from symbolist forms of constructionism; b) theories of origins from those pertaining to the reproduction of religion; and c) within reproduction, between theories of religious persistence and secularization. This typology helps to make sense of theories of religion by classifying them on the basis of their causal mechanisms, chronology and effects. In so doing, it opens up new sightlines for theory and research

Information and Communication Technology (ICT) and International Business Travel: Mobility Allies?

Like forecasts about the paperless office, technological solutions to the problem of international business travel continue to be deferred. As with the increased use of office paper, international business travel is defying predictions of its decline. There is growing evidence to suggest that business sectors which seem ideally placed to substitute information and communication technology (ICT) for travel, are actually generating more physical travel than other sectors. This paper develops a case study of the Irish software industry to exemplify why international travel is not diminishing in importance how and the ICT and business travel relationship is changing in this sector. The paper presents research findings that suggest that a cycle of substitution, generation and modification relationships have occurred as mobility interdependencies have developed.Peer Reviewe

Reciprocity as a foundation of financial economics

This paper argues that the subsistence of the fundamental theorem of contemporary financial mathematics is the ethical concept ‘reciprocity’. The argument is based on identifying an equivalence between the contemporary, and ostensibly ‘value neutral’, Fundamental Theory of Asset Pricing with theories of mathematical probability that emerged in the seventeenth century in the context of the ethical assessment of commercial contracts in a framework of Aristotelian ethics. This observation, the main claim of the paper, is justified on the basis of results from the Ultimatum Game and is analysed within a framework of Pragmatic philosophy. The analysis leads to the explanatory hypothesis that markets are centres of communicative action with reciprocity as a rule of discourse. The purpose of the paper is to reorientate financial economics to emphasise the objectives of cooperation and social cohesion and to this end, we offer specific policy advice

Parental education and perception of outdoor playing time for preschoolers

Abstract Aim: The objective of this study was to analyze whether or not socioeconomic positions influence outdoor playtime during the week (WK) and on the weekends (WEND). Methods: The sample consisted of 485 (girls; n=223) healthy preschoolers, aged from 3 to 6 years, enrolled in kindergartens from the metropolitan area of Porto, Portugal. Physical Activity (PA) was assessed for 7 consecutive days with an accelerometer. The time playing outdoors during the WK or the WEND was reported by parents. Anthropometric data (weight and height) was collected following standardized protocols. Socioeconomic position was assessed by Parental Education (PE), according to the Portuguese education system. Results: We found differences in time spent playing outdoors either for the WK or WEND, but not for Total PA (TPA), in both sexes. However, regression analysis showed that after age adjustment, BMI and TPA for both sexes, we only found significant associations between low PE (LPE) and high PE (HPE) groups on WK or WEND. However, we found no statistically significant association for boys on the WK (p=0.06). Conclusion: Our findings suggest that socioeconomic position can influence the children’s time spent in outdoor activities, especially on the weekends. This may have implications for future interventions with this age group

Residual Disease Threshold After Primary Surgical Treatment for Advanced Epithelial Ovarian Cancer, Part 1: A Systematic Review and Network Meta-Analysis

Copyright \ua9 2022 The Author(s). Published by Wolters Kluwer Health, Inc. BACKGROUND: We present a systematic review and network meta-analysis (NMA) that is the precursor underpinning the Bayesian analyses that adjust for publication bias, presented in the same edition in AJT. The review assesses optimal cytoreduction for women undergoing primary advanced epithelial ovarian cancer (EOC) surgery. AREAS OF UNCERTAINTY: To assess the impact of residual disease (RD) after primary debulking surgery in women with advanced EOC. This review explores the impact of leaving varying levels of primary debulking surgery. DATA SOURCES: We conducted a systematic review and random-effects NMA for overall survival (OS) to incorporate direct and indirect estimates of RD thresholds, including concurrent comparative, retrospective studies of ≥100 adult women (18+ years) with surgically staged advanced EOC (FIGO stage III/IV) who had confirmed histological diagnoses of ovarian cancer. Pairwise meta-analyses of all directly compared RD thresholds was previously performed before conducting this NMA, and the statistical heterogeneity of studies within each comparison was evaluated using recommended methods. THERAPEUTIC ADVANCES: Twenty-five studies (n = 20,927) were included. Analyses demonstrated the prognostic importance of complete cytoreduction to no macroscopic residual disease (NMRD), with a hazard ratio for OS of 2.0 (95% confidence interval, 1.8-2.2) for <1 cm RD threshold versus NMRD. NMRD was associated with prolonged survival across all RD thresholds. Leaving NMRD was predicted to provide longest survival (probability of being best = 99%). The results were robust to sensitivity analysis including only those studies that adjusted for extent of disease at primary surgery (hazard ratio 2.3, 95% confidence interval, 1.9-2.6). The overall certainty of evidence was moderate and statistical adjustment of effect estimates in included studies minimized bias. CONCLUSIONS: The results confirm a strong association between complete cytoreduction to NMRD and improved OS. The NMA approach forms part of the methods guidance underpinning policy making in many jurisdictions. Our analyses present an extension to the previous work in this area

Filling in the gaps:A grounded theory of the experiences and needs of healthcare staff following a colleague death by suicide in the UK

Health-workers are more likely to die by suicide than their counterparts in other occupational groups. The suicide of a staff member can be widely felt by colleagues, leading to complex emotional and cognitive responses. Exposure to suicide heightens the risk of dying by suicide. We investigated the impact of a colleague suicide on National Health Service (NHS) staff. Twenty-nine staff were interviewed; all participants were white British, and so not representative of the ethnic make-up of the NHS. Data were analyzed using grounded theory methods. A theory, “filling in the gaps” was developed. Staff experiences gave rise to needs that were not always met. Staff endeavoured to “fill in the gaps” in support; however, sometimes fell through those gaps. Organizational and professional contexts shaped their experiences and responses. Recommendations include skilled and targeted support and compassion for affected staff. Cultural change is needed to challenge suicide stigma and unhelpful narratives

Directed evolution study of temperature adaptation in a psychrophilic enzyme

We have used laboratory evolution methods to enhance the thermostability and activity of the psychrophilic protease subtilisin S41, with the goal of investigating the mechanisms by which this enzyme can adapt to different selection pressures. A combined strategy of random mutagenesis, saturation mutagenesis and in vitro recombination (DNA shuf¯ing) was used to generate mutant libraries, which were screened to identify enzymes that acquired greater thermostability without sacri®cing lowtemperature activity. The half-life of seven-amino acid substitution variant 3-2G7 at 60 C is $500 times that of wild-type and far surpasses those of homologous mesophilic subtilisins. The dependence of half-life on calcium concentration indicates that enhanced calcium binding is largely responsible for the increased stability. The temperature optimum of the activity of 3-2G7 is shifted upward by$10 C. Unlike natural thermophilic enzymes, however, the activity of 3-2G7 at low temperatures was not compromised. The catalytic ef®ciency, k cat /K M , was enhanced $threefold over a wide temperature range (10 to 60 C). The activation energy for catalysis, determined by the temperature dependence of k cat /K M in the range 15 to 35 C, is nearly identical to wild-type and close to half that of its highly similar mesophilic homolog, subtilisin SSII, indicating that the evolved S41 enzyme retained its psychrophilic character in spite of its dramatically increased thermostability. These results demonstrate that it is possible to increase activity at low temperatures and stability at high temperatures simultaneously. The fact that enzymes displaying both properties are not found in nature most likely re¯ects the effects of evolution, rather than any intrinsic physicalchemical limitations on proteins