2 resultados para Compactness Compensated

em Academic Archive On-line (Stockholm University


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This dissertation aims to examine and deepen the knowledge of family member caregiving where the care recipient is an elderly person who immigrated late in life. It also aims to contribute to the knowledge of the complexities underlying informal care giving and add to our understandings of what it means to be an immigrant in Sweden. The caregiver is in focus. The research conducted is explorative and partly inductive. The main material used is a qualitative interview study carried out with family members from different countries who are providing informal care to elderly immigrant relatives. The analysis gives three patterns of caregiving. One shows help from informal caregivers only who are not compensated economically. Another shows help from family members who are compensated. The third shows help from family members and staff from the public care system. Three ideal-typical informal caregiver roles show different positions vis-à-vis the new: “guardian”, “filter” and “reinterpreter of traditional care ideals”. Swedish born and immigrated informal caregivers are also compared through analysis of data gathered in telephone interviews with a representative selection of inhabitants in the County of Stockholm. A philosophy of action together with theory on integration and multiculturalism serves as theoretical frameworks to understand discrepancies and ambiguities in the data. Young immigrants experience different integration processes than do the older ones. They strive to protect older family members from changes linked to the migration experience. Talk about dependence on culture underlines family feelings and legitimates the processes of protection. Preconceptions about great differences between Swedish born and immigrant families are not supported by quantitative data. A conclusion is that protection can be understood in relation both to the traditional and the new, the latter in the forms of meetings with Swedish society where unequal relations prevail. It is a kind of counter-strategy where the range of actions is diminished, and thus it has its own logic. Protection can be loosened up when the circumstances change and the range of actions grow.

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This thesis is an exploration of several completeness phenomena, both in the constructive and the classical settings. After some introductory chapters in the first part of the thesis where we outline the background used later on, the constructive part contains a categorical formulation of several constructive completeness theorems available in the literature, but presented here in an unified framework. We develop them within a constructive reverse mathematical viewpoint, highlighting the metatheory used in each case and the strength of the corresponding completeness theorems. The classical part of the thesis focuses on infinitary intuitionistic propositional and predicate logic. We consider a propositional axiomatic system with a special distributivity rule that is enough to prove a completeness theorem, and we introduce weakly compact cardinals as the adequate metatheoretical assumption for this development. Finally, we return to the categorical formulation focusing this time on infinitary first-order intuitionistic logic. We propose a first-order system with a special rule, transfinite transitivity, that embodies both distributivity as well as a form of dependent choice, and study the extent to which completeness theorems can be established. We prove completeness using a weakly compact cardinal, and, like in the constructive part, we study disjunction-free fragments as well. The assumption of weak compactness is shown to be essential for the completeness theorems to hold.