14 resultados para Mathematics, Ancient--India

em Helda - Digital Repository of University of Helsinki


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The problematic of invasive species in an alien environment has aroused the attention of scientists all over the world for quite some time. One of the exotic tree species that has provoked special attention in the tropical drylands is Prosopis juliflora. Originating in South America, prosopis (hereafter referred to as prosopis) has been introduced in the hot and semi-arid zones of the world particularly to provide fuelwood, to stabilize sand dunes and to combat desertification. The tree has become an essential source for fuelwood and a provider of several other products and services in areas where it has become established. However, despite the numerous benefits the tree provides to rural people, in several regions prosopis has become a noxious weed with a negative impact on the environment and to the economy of farmers and landowners. In India, prosopis was introduced in Andhra Pradesh in 1877. The tree was then proclaimed as the precious child of the plant world by scientists and local people alike. The purpose of this study was to investigate the overall impact of prosopis on local rural livelihoods in the drylands of South India. Of particular interest was the examination of the different usages of the tree, especially as fuelwood, and people s perceptions of it. Furthermore, the study examined the negative impacts of the uncontrolled invasion of prosopis on croplands, and its occupation of the banks of irrigation canals and other water sources. As another central theme, this study analysed the Hindu classification system for nature and for trees in particular. In India, several tree species are regarded as sacred. This study examined the position of the exotic prosopis among sacred trees, such as the bodhi, banyan and neem trees. The principle method for collecting the field data was by using individual and thematic group interviews. These interviews were semi-structured with open ended questions. Moreover, unstructured interviews as well as general observations provided complementary information. The data were gathered during two fieldwork periods in the states of Andhra Pradesh and Tamil Nadu, in South India. The results confirmed that prosopis both provides benefits and causes hazards to different stakeholders. Farmers and agriculturalists suffer economic losses in areas where prosopis has invaded crop fields and competes with other plants for water and nutrients. On the other hand, for a significant number of poor rural people, prosopis has become an important source of livelihood benefits. This tree, which grows on government wastelands, is commonly a free resource for all and has thus become a major local source of fuelwood. It also provides several other goods and services and cash income that contributes to improve livelihoods in rural communities. Prosopis ranked lowest in the tree classificatioin system of the Hindus of South India. Although it is appreciated for many benefits it provides for poor people, it has remained an outsider compared with the indigenous tree species. On the other hand, the most sacred trees, such as the bodhi or the banyan, are completely excluded from extraction and it is seen as a sacrilege to even cut branches from any of these trees. An unexpected finding was that, in a few cases, prosopis had also been elevated to the status of a sacred tree. Goods and services from prosopis are not utilized in the most beneficial way. Silvicultural management practices are suggested that would provide additional income and employment opportunities. Interventions are recommended to control further invasion of the tree that might cause serious negative effects in the future. For Hindus, the sacred always ranks highest, even above economic gain. The conservation of sacred groves and sacred trees is a tradition that has its roots in ancient history. These socio-religious practices need to be respected and continued. Successful management of tree and forest resources depends on the willingness of the local people to manage their natural resources, and this willingness exists and has always existed in South India. Keywords: South India, drylands, livelihood, fuelwood, invasive, resource, silviculture.

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This dissertation is about ancient philosophers notions of mental illness, from Plato onwards. Mental illness here means disorders that, in ancient medical thought, were believed to originate in the body but to manifest themselves predominantly through mental symptoms. These illnesses were treated by physical means, which were believed to address the bodily cause of the illness, conceived of as an elemental imbalance or a state of cephalic stricture , for example. Sometimes the mental symptoms were addressed directly by psychotherapeutic means. The first and most important question explored concerns how the ancient philosophers responded to the medical notion of mental illness, and how they explained such illnesses in their theories of physiology and psychology. Although the illnesses are seldom discussed extensively, the philosophers were well aware of their existence and regarded their occurrence an indication of the soul s close dependence on the body. This called for a philosophical account. The second question addressed has to do with the ancient philosophers role as experts in mental problems of a non-medical kind, such as unwanted emotions. These problems were dubbed diseases of the soul , and the philosophers thus claimed to be doctors of the soul. Although the distinction between mental illnesses and diseases of the soul was often presented as rather obvious, there was some vagueness and overlap. There is still a third question that is explored, concerning the status of both mental illnesses and diseases of the soul as unnatural conditions, the role of the human body in the philosophical aetiologies of evil, and the medico-philosophical theories of psycho-physiological temperaments. This work consists of an introduction and five main chapters, focusing on Plato, Aristotle, the Stoics and Galen, and the Sceptics, the Epicureans and later Platonists. The sources drawn on are the original Greek and Latin philosophical and medical texts. It appears that the philosophers accepted the medical notion of mental illness, but interpreted it in various ways. The differences in interpretation were mostly attributable to differences in their theories of the soul. Although the distinction between mental illness and diseases of the soul was important, marking the boundary between the fields of expertise of medicine and philosophy, and of the individual s moral responsibilities, the problematic aspects of establishing it are discussed rather little in ancient philosophy. There may have been various reasons for this. The medical descriptions of mental illness are often extreme, symptoms of the psychotic type excluding the possibility of the condition being of the non-medical kind. In addition, the rigid normativeness of ancient philosophical anthropologies and their rigorous notion of human happiness decreased the need to assess the acceptability of individual variation in their emotional and intellectual lives and external behaviour.

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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.

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Marguerite Duras (1914−1996) was one of the most original French writers and film directors, whose cycles are renowned for a transgeneric repetition variation of human suffering in the modern condition. Her fictionalisation of Asian colonialism, the India Cycle (1964−1976), consists of three novels, Le ravissement de Lol V. Stein (1964), Le Vice-consul (1966) and L'amour (1971), a theatre play, India Song (1973), and three films, La Femme du Gange (1973), India Song (1974) and Son nom de Venise dans Calcutta desért (1976). Duras’s cultural position as a colon in inter-war ‘Indochina’ was the backdrop for this “théâtre-text-film”, while its creation was provoked by the atrocities of World War II and post-war decolonisation. Fictionalising Trauma analyses the aesthetics of the India Cycle as Duras’s critical working-through of historical trauma. From an emotion-focused cognitive viewpoint, the study sheds light on trauma’s narrativisation using the renewed concept of traumatic memory developed by current social neuroscience. Duras is shown to integrate embodied memory and narrative memory into an emotionally progressing fiction. Thus the rhetoric of the India Cycle epitomises a creative symbolisation of the unsayable, which revises the concept of trauma from a semiotic failure into an imaginative metaphorical process. The India Cycle portrays the stagnated situation of a white society in Europe and British India during the thirties. The narratives of three European protagonists and one fictional Cambodian mendicant are organised as analogues mirroring the effects of rejection and loss on both sides of the colonial system. Using trauma as a conceptual prism, the study rearticulates this composition as three roles: those of witnessing writers, rejected survivors and colonial perpetrators. Three problems are analysed in turn by reading the non-verbal markers of the text: the white man as a witness, the subversive trope of the madwoman and the deadlock of the colonists’ destructive passion. The study reveals emotion and fantasy to be crucial elements in critical trauma fiction. Two devices intertwine throughout the cycle: affective images of trauma expressing the horror of life and death, and self-reflexive metafiction distancing the face-value of the melodramatic stories. This strategy dismantles racist and sexist discourses underpinning European life, thus demanding a renewal of cultural memory by an empathic listening to the ‘other’. And as solipsism and madness lead the lives of the white protagonists to tragic ends, the ‘real’ beggar in Calcutta lives in ecological harmony with Nature. This emphasises the failure of colonialism, as the Durasian phantasm ambiguously strives for a deconstruction of the exotic mythical fiction of French ‘Indochina’.

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This research examines three aspects of becoming a teacher, teacher identity formation in mathematics teacher education: the cognitive and affective aspect, the image of an ideal teacher directing the developmental process, and as an on-going process. The formation of emerging teacher identity was approached in a social psychological framework, in which individual development takes place in social interaction with the context through various experiences. Formation of teacher identity is seen as a dynamic, on-going developmental process, in which an individual intentionally aspires after the ideal image of being a teacher by developing his/her own competence as a teacher. The starting-point was that it is possible to examine formation of teacher identity through conceptualisation of observations that the individual and others have about teacher identity in different situations. The research uses the qualitative case study approach to formation of emerging teacher identity, the individual developmental process and the socially constructed image of an ideal mathematics teacher. Two student cases, John and Mary, and the collective case of teacher educators representing socially shared views of becoming and being a mathematics teacher are presented. The development of each student was examined based on three semi-structured interviews supplemented with written products. The data-gathering took place during the 2005 2006 academic year. The collective case about the ideal image provided during the programme was composed of separate case displays of each teacher educator, which were mainly based on semi-structured interviews in spring term 2006. The intentions and aims set for students were of special interest in the interviews with teacher educators. The interview data was analysed following the modified idea of analytic induction. The formation of teacher identity is elaborated through three themes emerging from theoretical considerations and the cases. First, the profile of one s present state as a teacher may be scrutinised through separate affective and cognitive aspects associated with the teaching profession. The differences between individuals arise through dif-ferent emphasis on these aspects. Similarly, the socially constructed image of an ideal teacher may be profiled through a combination of aspects associated with the teaching profession. Second, the ideal image directing the individual developmental process is the level at which individual and social processes meet. Third, formation of teacher identity is about becoming a teacher both in the eyes of the individual self as well as of others in the context. It is a challenge in academic mathematics teacher education to support the various cognitive and affective aspects associated with being a teacher in a way that being a professional and further development could have a coherent starting-point that an individual can internalise.

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This study examines gendered housework in India, particularly in Bihar. The perspective adopted in the study was in part derived from the data but also from sociological literature published both in Western countries and in India. The primary attention is therefore paid to modern and traditional aspects in housework. The aim is not to compare Indian practices to those of Western societies, but rather to use Western studies as a fruitful reference point. In that light, Indian housework practices appear to be traditional. Consequently, traditions are given a more significant role than is usually the case in studies on gendered housework, particularly in Western countries. The study approaches the topic mainly from the socio-cultural perspective; this provides the best means to understand the persistence of traditional habits in India. To get a wide enough picture of the division of labour, three methods were applied in the study: detailed time-use data, questionnaire and theme interviews. The data were collected in 1988 in two districts of Bihar, one rural and the other urban. The different data complement each other well but also bring to light contradictory findings: on a general level Biharian people express surprisingly modern views on gender equality but when talking in more detail (theme interviews) the interviewees told about how traditional housework practices still were in 1988. In the analysis of the data set four principal themes are discussed. Responsibility is the concept by which the study aims at understanding the logic of the argumentation on which the persistence of traditional housework practices is grounded. Contrary to the Western style, Biharian respondents appealed not to the principle of choice but to their responsibility to do what has to be done. The power of tradition, the early socialization of children to the traditional division of labour and the elusive nature of modernity are all discussed separately. In addition to the principle of responsibility, housework was also seen as an expression of affection. This was connected to housework in general but also to traditional practices. The purity principle was the third element that made Biharian interviewees favour housework in general, but as in the case of affection it too was interwoven with traditional practices. It seems to be so that if housework is in general preferred, this leads to preferring the traditional division of labour, too. The same came out when examining economic imperatives. However, the arguments concerning them proved to be rational. In analysing them it became clear that the significance of traditions is also much dependent on the economics: as far as the average income in India is very low, the prevalence of traditional practices in housework will continue. However, to make this work, cultural arguments are required: their role is to mediate more smoothly the iron rules of the economy. Key words: family, gendered housework, division of labour, responsibility, family togetherness, emotion, economy of housework, modernity, traditionality

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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.

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This study explores labour relations between domestic workers and employers in India. It is based on interviews with both employers and workers, and ethnographically oriented field work in Jaipur, carried out in 2004-2007. Combining development studies with gender studies, labour studies, and childhood studies, it asks how labour relations between domestic workers and employers are formed in Jaipur, and how female domestic workers trajectories are created. Focusing on female part-time maids and live-in work arrangements, the study analyses children s work in the context of overall work force, not in isolation from it. Drawing on feminist Marxism, domestic labour relations are seen as an arena of struggle. The study takes an empirical approach, showing class through empiria and shows how paid domestic work is structured and stratified through intersecting hierarchies of class, caste, gender, age, ethnicity and religion. The importance of class in domestic labour relations is reiterated, but that of caste, so often downplayed by employers, is also emphasized. Domestic workers are crucial to the functioning of middle and upper middle class households, but their function is not just utilitarian. Through them working women and housewives are able to maintain purity and reproduce class disctinctions, both between poor and middle classes and lower and upper middle classes. Despite commodification of work relations, traditional elements of service relationships have been retained, particularly through maternalist practices such as gift giving, creating a peculiar blend of traditional and market practices. Whilst employers of part-time workers purchase services in a segmented market from a range of workers for specific, traditional live-in workers are also hired to serve employers round the clock. Employers and workers grudgingly acknowledged their dependence on one another, employers seeking various strategies to manage fear of servant crime, such as the hiring of children or not employing live-in workers in dual-earning households. Paid domestic work carries a heavy stigma and provide no entry to other jobs. It is transmitted from mothers to daughters and working girls were often the main income providers in their families. The diversity of working conditions is analysed through a continuum of vulnerability, generic live-in workers, particularly children and unmarried young women with no close family in Jaipur, being the most vulnerable and experienced part-time workers the least vulnerable. Whilst terms of employment are negotiated informally and individually, some informal standards regarding salary and days off existed for maids. However, employers maintain that workings conditions are a matter of individual, moral choice. Their reluctance to view their role as that of employers and the workers as their employees is one of the main stumbling blocks in the way of improved working conditions. Key words: paid domestic work, India, children s work, class, caste, gender, life course