Truth, Proof and Gödelian Arguments : A Defence of Tarskian Truth in Mathematics

One of the most fundamental questions in the philosophy of mathematics concerns the relation between truth and formal proof. The position according to which the two concepts are the same is called deflationism, and the opposing viewpoint substantialism. In an important result of mathematical logic, Kurt Gödel proved in his first incompleteness theorem that all consistent formal systems containing arithmetic include sentences that can neither be proved nor disproved within that system. However, such undecidable Gödel sentences can be established to be true once we expand the formal system with Alfred Tarski s semantical theory of truth, as shown by Stewart Shapiro and Jeffrey Ketland in their semantical arguments for the substantiality of truth. According to them, in Gödel sentences we have an explicit case of true but unprovable sentences, and hence deflationism is refuted. Against that, Neil Tennant has shown that instead of Tarskian truth we can expand the formal system with a soundness principle, according to which all provable sentences are assertable, and the assertability of Gödel sentences follows. This way, the relevant question is not whether we can establish the truth of Gödel sentences, but whether Tarskian truth is a more plausible expansion than a soundness principle. In this work I will argue that this problem is best approached once we think of mathematics as the full human phenomenon, and not just consisting of formal systems. When pre-formal mathematical thinking is included in our account, we see that Tarskian truth is in fact not an expansion at all. I claim that what proof is to formal mathematics, truth is to pre-formal thinking, and the Tarskian account of semantical truth mirrors this relation accurately. However, the introduction of pre-formal mathematics is vulnerable to the deflationist counterargument that while existing in practice, pre-formal thinking could still be philosophically superfluous if it does not refer to anything objective. Against this, I argue that all truly deflationist philosophical theories lead to arbitrariness of mathematics. In all other philosophical accounts of mathematics there is room for a reference of the pre-formal mathematics, and the expansion of Tarkian truth can be made naturally. Hence, if we reject the arbitrariness of mathematics, I argue in this work, we must accept the substantiality of truth. Related subjects such as neo-Fregeanism will also be covered, and shown not to change the need for Tarskian truth. The only remaining route for the deflationist is to change the underlying logic so that our formal languages can include their own truth predicates, which Tarski showed to be impossible for classical first-order languages. With such logics we would have no need to expand the formal systems, and the above argument would fail. From the alternative approaches, in this work I focus mostly on the Independence Friendly (IF) logic of Jaakko Hintikka and Gabriel Sandu. Hintikka has claimed that an IF language can include its own adequate truth predicate. I argue that while this is indeed the case, we cannot recognize the truth predicate as such within the same IF language, and the need for Tarskian truth remains. In addition to IF logic, also second-order logic and Saul Kripke s approach using Kleenean logic will be shown to fail in a similar fashion.

Perspectives on prescribing in nursing homes in Helsinki

Prescribing for older patients is challenging. The prevalence of diseases increases with advancing age and causes extensive drug use. Impairments in cognitive, sensory, social and physical functioning, multimorbidity and comorbidities, as well as age-related changes in pharmacokinetics and pharmacodynamics all add to the complexity of prescribing. This study is a cross-sectional assessment of all long-term residents aged ≥ 65 years in all nursing homes in Helsinki, Finland. The residents’ health status was assessed and data on their demographic factors, health and medications were collected from their medical records in February 2003. This study assesses some essential issues in prescribing for older people: psychotropic drugs (Paper I), laxatives (Paper II), vitamin D and calcium supplements (Paper III), potentially inappropriate drugs for older adults (PIDs) and drug-drug interactions (DDIs)(Paper IV), as well as prescribing in public and private nursing homes. A resident was classified as a medication user if his or her medication record indicated a regular sequence for its dosage. Others were classified as non-users. Mini Nutritional Assessment (MNA) was used to assess residents’ nutritional status, Beers 2003 criteria to assess the use of PIDs, and the Swedish, Finnish, INteraction X-referencing database (SFINX) to evaluate their exposure to DDIs. Of all nursing home residents in Helsinki, 82% (n=1987) participated in studies I, II, and IV and 87% (n=2114) participated in the study III. The residents’ mean age was 84 years, 81% were female, and 70% were diagnosed with dementia. The mean number of drugs was 7.9 per resident; 40% of the residents used ≥ 9 drugs per day, and were thus exposed to polypharmacy. Eighty percent of the residents received psychotropics; 43% received antipsychotics, and 45% used antidepressants. Anxiolytics were prescribed to 26%, and hypnotics to 28% of the residents. Of those residents diagnosed with dementia, 11% received antidementia drugs. Fifty five percent of the residents used laxatives regularly. In multivariate analysis, those factors associated with regular laxative use were advanced age, immobility, poor nutritional status, chewing problems, Parkinson’s disease, and a high number of drugs. Eating snacks between meals was associated with lower risk for laxative use. Of all participants, 33% received vitamin D supplementation, 28% received calcium supplementation, and 20% received both vitamin D and calcium. The dosage of vitamin D was rather low: 21% received vitamin D 400 IU (10 µg) or more, and only 4% received 800 IU (20 µg) or more. In multivariate analysis, residents who received vitamin D supplementation enjoyed better nutritional status, ate snacks between meals, suffered no constipation, and received regular weight monitoring. Those residents receiving PIDs (34% of all residents) more often used psychotropic medication and were more often exposed to polypharmacy than residents receiving no PIDs. Residents receiving PIDs were less often diagnosed with dementia than were residents receiving no PIDs. The three most prevalent PIDs were short-acting benzodiazepine in greater dosages than recommended, hydroxyzine, and nitrofurantoin. These three drugs accounted for nearly 77% of all PID use. Of all residents, less than 5% were susceptible to a clinically significant DDI. The most common DDIs were related to the use of potassium-sparing diuretics, carbamazepine, and codeine. Residents exposed to potential DDIs were younger, had more often suffered a previous stroke, more often used psychotropics, and were more often exposed to PIDs and polypharmacy than were residents not exposed to DDIs. Residents in private nursing homes were less often exposed to polypharmacy than were residents in public nursing homes. Long-term residents in nursing homes in Helsinki use, on average, nearly eight drugs daily. The use of psychotropic drugs in our study was notably more common than in international studies. The prevalence of laxatives equaled other prior international studies. Regardless of the known benefit and recommendation of vitamin D supplementation for elderly residing mostly indoors, the proportion of nursing home residents receiving vitamin D and calcium was surprisingly low. The use of PIDs was common among nursing home residents. PIDs increased the likelihood of DDIs. However, DDIs did not seem a major concern among the nursing home population. Monitoring PIDs and potential drug interactions could improve the quality of prescribing.

Nutrition and Nutritional Care of Elderly People in Finnish Nursing Homes and Hospitals

Background: Malnutrition is a common problem for residents of nursing homes and long-term care hospitals. It has a negative influence on elderly residents and patients health and quality of life. Nutritional care seems to have a positive effect on elderly individuals nutritional status and well-being. Studies of Finnish elderly people s nutrition and nutritional care in institutions are scarce. Objectives: The primary aim was to investigate the nutritional status and its associated factors of elderly nursing home residents and long-term care patients in Finland. In particular, to find out, if the nursing or nutritional care factors are associated with the nutritional status, and how do carers and nurses recognize malnutrition. A further aim was to assess the energy and nutrient intake of the residents of dementia wards. A final objective was to find out, if the nutrition training of professionals leads to changes in their knowledge and further translate into better nutrition for the aged residents of dementia wards. Subjects and methods: The residents (n=2114) and patients (n=1043) nutritional status was assessed in all studies using the Mini Nutritional Assessment test (MNA). Information was gathered in a questionnaire on residents and patients daily routines providing nutritional care. Residents energy and nutrient intake (n=23; n=21) in dementia wards were determined over three days by the precise weighing method. Constructive learning theory was the basis for educating the professionals (n=28). A half-structured questionnaire was used to assess professionals learning. Studies I-IV were cross-sectional studies whereas study V was an intervention study. Results: Malnutrition was common among elderly residents and patients living in nursing homes and hospitals in Finland. According to the MNA, 11% to 57% of the studied elderly people suffered from malnutrition, and 40-89% were at risk of malnutrition, whereas only 0-16% had a good nutritional status. Resident- and patient-related factors such as dementia, impaired ADL (Activities of Daily Living), swallowing difficulties and constipation mainly explained the malnutrition, but also some nutritional care related factors, such as eating less than half of the offered food portion and not receiving snacks were also related to malnutrition. The intake of energy and some nutrients by the residents of dementia wards were lower than those recommended, although the offered food contained enough energy and nutrients. The proportion of residents receiving vitamin D supplementation was low, although there is a recommendation and known benefits for the adequate intake of vitamin D. Nurses recognized malnutrition poorly, only one in four (26.7%) of the actual cases. Keeping and analysing food diaries and reflecting on nutritional issues in small group discussions were effective training methods for professionals. The nutrition education of professionals had a positive impact on the energy and protein intake, BMIs, and the MNA scores of some residents in dementia wards. Conclusions: Malnutrition was common among elderly residents and patients living in nursing homes and hospitals in Finland. Although residents- and patient related factors mainly explained malnutrition, nurses recognized malnutrition poorly and nutritional care possibilities were in minor use. Professionals nutrition education had a positive impact on the nutrition of elderly residents. Further studies describing successful nutritional care and nutrition education of professionals are needed.

Women and Marital Breakdown in South India : Reconstructing Homes, Bonds and Persons

Women and Marital Breakdown in South India: Reconstructing Homes, Bonds and Persons is an ethnographic analysis of the situation of divorced and separated women and their families in the South Indian city of Bangalore. The study is based on 16 months of anthropological fieldwork, i.e., participant observation and life history interviews among 50 divorced and separated women from different socio-religious backgrounds in their homes, in the women s organisations and in the Family Court. The study follows the divorced and separated women from their natal homes to their affinal homes through homelessness and legal battles to their reconstructed natal, affinal or single homes in order to find out what it means to be a person within hierarchical gender and kinship relations in South India. Marital breakdown impacts on kin relations and discloses the existing gender relations and power structure through its consequences. It makes the transformability of relational personhood as well as the transformability of relational society and culture visible. Although the study reveals the painful history of women s ill-treatment in marriage, family and kinship systems, it also demonstrates the women s rejection of the domination; and shows their ability to re-negotiate and promote changes not only to their own positions but to the whole hierarchical system as well. The study explores the divorced and separated women s manifold dilemmas, complicated legal battles, and endless arrangements when they have to struggle with the very practical problems of supporting themselves financially, finding and making a new home for themselves, and re-arranging relationships with their kin and friends. As marital breakdown fundamentally transforms the women s relational field, it forces them to recreate substitutive relations in a flexible way and, simultaneously, to re-construct themselves and their lives without a ready or positive cultural or behavioural template. This process reveals the agency of the divorced and separated women as well as shedding light on issues of gender and the cultural construction of the person in South India. This topical study explores the previously neglected subject of marital breakdown in India and shows the new meaning of kinship in South India.