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We investigate some variants of the splitting, reaping, and independence numbers defined using asymptotic density. Specifically, we give a proof of Con($\mathfrak {i}<\mathfrak {s}_{1/2}$), Con($\mathfrak {r}_{1/2}<\mathfrak {b}$), and Con($\mathfrak {i}_*<2^{\aleph _0}$). This answers two questions raised in [5]. Besides, we prove the consistency of $\mathfrak {s}_{1/2}^{\infty } < $ non$(\mathcal {E})$ and cov$(\mathcal {E}) < \mathfrak {r}_{1/2}^{\infty }$, where $\mathcal {E}$ is the $\sigma $-ideal generated by closed sets of measure zero.
Evidence suggests the incidence of non-affective psychotic disorders (NAPDs) varies across persons and places, but data from the Global South is scarce. We aimed to estimate the treated incidence of NAPD in Chile, and variance by person, place and time.
Methods
We used national register data from Chile including all people, 10–65 years, with the first episode of NAPD (International Classification of Diseases, Tenth Revision: F20–F29) between 1 January 2005 and 29 August 2018. Denominators were estimated from Chilean National Census data. Our main outcome was treated incidence of NAPD and age group, sex, calendar year and regional-level population density, multidimensional poverty and latitude were exposures of interest.
Results
We identified 32 358 NAPD cases [12 136 (39.5%) women; median age-at-first-contact: 24 years (interquartile range 18–39 years)] during 171.1 million person-years [crude incidence: 18.9 per 100 000 person-years; 95% confidence interval (CI) 18.7–19.1]. Multilevel Poisson regression identified a strong age–sex interaction in incidence, with rates peaking in men (57.6 per 100 000 person-years; 95% CI 56.0–59.2) and women (29.5 per 100 000 person-years; 95% CI 28.4–30.7) between 15 and 19 years old. Rates also decreased (non-linearly) over time for women, but not men. We observed a non-linear association with multidimensional poverty and latitude, with the highest rates in the poorest regions and those immediately south of Santiago; no association with regional population density was observed.
Conclusion
Our findings inform the aetiology of NAPDs, replicating typical associations with age, sex and multidimensional poverty in a Global South context. The absence of association with population density suggests this risk may be context-dependent.
The last chapter of this volume is somewhat unusual for an edited book in social science research on peace and transitional justice. But, it is one that we thought it was important to include. “Geographies of Truth,” by personnel from the Casa de la Memoria (House of Memory) of Medellin, is a discussion of how individuals from the museum developed key exhibits on the violence in Colombia. This process begins with a great many similarities to social science projects as literature is reviewed, original data are collected, and all the materials are analyzed for their relevance and role in, in this case, museum exhibits. At this stage, scholars would typically then conceive of our understanding and representation of events of the past in fairly conventional, analytical products that are designed to communicate to fellow academics. But those who curate museums like Casa de la Memoria must arrive at a work product in ways that will affect people not just intellectually but also emotionally and physically through the various senses. Such exhibits are also constructed for a much larger audience − the people of the nation − whose experiences are being represented. Thus, the process by which these exhibits are created is both fascinating as both an alternative means of conveying understandings about war and violence, and for the responsibilities the museum personnel have toward society as a whole in representing their truths. There is much we, as peace studies scholars, can gain from understanding their work.
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