Playing Games on Sets and Models

The most prominent objective of the thesis is the development of the generalized descriptive set theory, as we call it. There, we study the space of all functions from a fixed uncountable cardinal to itself, or to a finite set of size two. These correspond to generalized notions of the universal Baire space (functions from natural numbers to themselves with the product topology) and the Cantor space (functions from natural numbers to the {0,1}-set) respectively. We generalize the notion of Borel sets in three different ways and study the corresponding Borel structures with the aims of generalizing classical theorems of descriptive set theory or providing counter examples. In particular we are interested in equivalence relations on these spaces and their Borel reducibility to each other. The last chapter shows, using game-theoretic techniques, that the order of Borel equivalence relations under Borel reduciblity has very high complexity. The techniques in the above described set theoretical side of the thesis include forcing, general topological notions such as meager sets and combinatorial games of infinite length. By coding uncountable models to functions, we are able to apply the understanding of the generalized descriptive set theory to the model theory of uncountable models. The links between the theorems of model theory (including Shelah's classification theory) and the theorems in pure set theory are provided using game theoretic techniques from Ehrenfeucht-Fraïssé games in model theory to cub-games in set theory. The bottom line of the research declairs that the descriptive (set theoretic) complexity of an isomorphism relation of a first-order definable model class goes in synch with the stability theoretical complexity of the corresponding first-order theory. The first chapter of the thesis has slightly different focus and is purely concerned with a certain modification of the well known Ehrenfeucht-Fraïssé games. There we (me and my supervisor Tapani Hyttinen) answer some natural questions about that game mainly concerning determinacy and its relation to the standard EF-game

The German Military Entrepreneur Ernst von Mansfeld and His Conduct of Asymmetrical Warfare in the Thirty Years War

The dissertation examines aspects of asymmetrical warfare in the war-making of the German military entrepreneur Ernst von Mansfeld during his involvement in the Thirty Years War. Due to the nature of the inquiry, which combines history with military-political theory, the methodological approach of the dissertation is interdisciplinary. The theoretical framework used is that of asymmetrical warfare. The primary sources used in the dissertation are mostly political pamphlets and newsletters. Other sources include letters, documents, and contemporaneous chronicles. The secondary sources are divided into two categories, literature on the history of the Thirty Years War and textbooks covering the theory of asymmetrical warfare. The first category includes biographical works on Ernst von Mansfeld, as well as general histories of the Thirty Years War and seventeenth-century warfare. The second category combines military theory and political science. The structure of the dissertation consists of eight lead chapters, including an introduction and conclusion. The introduction covers the theoretical approach and aims of the dissertation, and provides a brief overlook of the sources and previous research on Ernst von Mansfeld and asymmetrical warfare in the Thirty Years War. The second chapter covers aspects of Mansfeld s asymmetrical warfare from the perspective of operational art. The third chapter investigates the illegal and immoral aspects of Mansfeld s war-making. The fourth chapter compares the differing methods by which Mansfeld and his enemies raised and financed their armies. The fifth chapter investigates Mansfeld s involvement in indirect warfare. The sixth chapter presents Mansfeld as an object and an agent of image and information war. The seventh chapter looks into the counter-reactions, which Mansfeld s asymmetrical warfare provoked from his enemies. The eighth chapter offers a conclusion of the findings. The dissertation argues that asymmetrical warfare presented itself in all the aforementioned areas of Mansfeld s conduct during the Thirty Years War. The operational asymmetry arose from the freedom of movement that Mansfeld enjoyed, while his enemies were constrained by the limits of positional warfare. As a non-state operator Mansfeld was also free to flout the rules of seventeenth-century warfare, which his enemies could not do with equal ease. The raising and financing of military forces was another source of asymmetry, because the nature of early seventeenth-century warfare favoured private military entrepreneurs rather than embryonic fiscal-military states. The dissertation also argues that other powers fought their own asymmetrical and indirect wars against the Habsburgs through Mansfeld s agency. Image and information were asymmetrical weapons, which were both aimed against Mansfeld and utilized by him. Finally, Mansfeld s asymmetrical threat forced the Habsburgs to adapt to his methods, which ultimately lead to the formation of a subcontracted Imperial Army under the management and leadership of Albrecht von Wallenstein. Therefore Mansfeld s asymmetrical warfare ultimately paved way for the kind of state-monopolized, organised, and symmetrical warfare that has prevailed from 1648 onwards. The conclusion is that Mansfeld s conduct in the Thirty Years War matched the criteria for asymmetrical warfare. While traditional historiography treated Mansfeld as an anomaly in the age of European state formation, his asymmetrical warfare has begun to bear resemblance to the contemporary conflicts, where nation states no longer hold the monopoly of violence.

Paradoxical reflection in quantum mechanics

This article concerns a phenomenon of elementary quantum mechanics that is quite counter-intuitive, very non-classical, and apparently not widely known: a quantum particle can get reflected at a downward potential step. In contrast, classical particles get reflected only at upward steps. The conditions for this effect are that the wave length is much greater than the width of the potential step and the kinetic energy of the particle is much smaller than the depth of the potential step. This phenomenon is suggested by non-normalizable solutions to the time-independent Schroedinger equation, and we present evidence, numerical and mathematical, that it is also indeed predicted by the time-dependent Schroedinger equation. Furthermore, this paradoxical reflection effect suggests, and we confirm mathematically, that a quantum particle can be trapped for a long time (though not forever) in a region surrounded by downward potential steps, that is, on a plateau.

Hyvinvointivaltion läpimurto : Pienviljelyhegemonian rapautumisen, kansalaisliikehdinnän ja poliittisen murroksen keskinäiset suhteet suomalaisessa yhteiskunnassa 1950-luvun loppuvuosina

A Breakthrough of Welfare State. The inter-relationships of the civic movement, political transformation, and eroding of a hegemony based on small scale farming in the Finnish society in the late 1950's. The unusually rapid and powerful structural change; the non-parliamentary civic movements of 1956 - 1963; and the left majority in the Finnish parliament between 1958 - 1962 all took place as the Finnish welfare state started to develop. The aim of my research is to analyse the inter-relationships of these processes. The research describes the way the former semi self-sufficient, semi-proletarian and labour-intensive form of production - a simple and discriminatory system in itself - made it possible for the majority of the population to survive through hard work. For some it even provided a possibility to prosper. The waning vitality of semi self-sufficiency and small scale agriculture triggered a political ferment and started a period of searching for something new. The process was so intense that it broke up most of the parties and tore down the old consensus that was based on the power of economic and political elite. The most crucial battle of the great transformation was waged over the nature of the state: Should we build a welfare state and construct social security systems, or should we revert to the old night watchman state and, for example, cancel the modest forms of redistribution of income carried out in the 1950's? The people joining the civic movements were either cottagers of the impoverishing countryside or, quite often, people who had come from the countryside and thus had grown up under conditions of some form of solidarity that included taking care of one's own family. The Finnish social insurance developed in the midst of a change in the structure of production of the society, and it became a compromise to satisfy the needs of both the waning society of small scale agriculture and the rising proletarian society based on wage labour. The hodgepodge of political schemes and use of power became a battle between different notions of the economy and the state; the distribution of national income; and the position of Finland in the international context. This battle created a shape of an interregnum - a period of transformation including two notions of society, two alternative paths for the future and the logic of a correctional move. The transformation of Finland from a poor developing country into a prosperous society has been praised as a success story. In 1956 - 1959, when the old form of governance based on the interests of small scale agriculture and wood processing industry was in decay, and when the future seemed uncertain, the projects to reduce social benefits and efforts to distribute national income even more unequally than before led to a powerful counter-movement by citizens and started an hegemonic change and a equal socia development.

Koti keskellä kaupunkia : Keskusta lapsiperheen asuinalueena, esimerkkeinä Tukholma ja Helsinki

Families with children have traditionally moved to suburbs. In the last 20 years a modest counter process has however been recognized. Families with an urban lifestyle stay in the city centres. This study looks at the phenomenon through two cases, Stockholm and Helsinki. In the first case it has already been observed that the city centre has grown in popularity among families with children. Therefore it serves as a basis for the study and as well as a point of comparison. Stockholm’s city centre is expanding as new neighbourhoods have been built and are being planned. In the city centre of Helsinki the building of two large neighbourhoods for 30 000 inhabitants will start in a few years. The first aim of the study is to look closer at what has really happened in the city centre of Stockholm, why families choose to live there with their children and how the City of Stockholm has reacted to the change. The main sources of information are secondary sources, statistics and interviews with planners, politicians and experts in the field. The main object is to look at the situation in the city centre of Helsinki. Can a preference for urban residential environments be observed in Helsinki? What are the reasons for a family to choose the city centre as a living place? How does the everyday life of a family in the city centre appear? How are these families taken into account in the planning of the city? The main sources of information here are statistics, interviews with dwellers in the neighbourhood Kruununhaka and interviews with planners. In Stockholm the birth rate has grown constantly during the 2000s and is highest in the city centre. Some of the families still move elsewhere, but many of them do not. One of the most important reasons for living in the city centre is short working distances which give working parents more time with their children. Another reason is a preference of an urban, active lifestyle. Families prefer to live close to everything, childcare, schools, shops and entertainments. The popularity of the city centre among families with children has taken politicians and planners by surprise. Helsinki has not experienced a baby boom like Stockholm. However the negative changes in the birth rate have been more modest in the central areas than in the suburbs. Statistics show, that many families move away from the city centre as the children grow. Families who stay in the city centre especially appreciate closeness to public and private services and good public transportation which means that they are not dependent on using the car. Further they find that the city centre has a tolerant climate and is a safe and beautiful place to live in. The families enjoy the social life of the neighbourhood and feel that it makes a good climate to raise children in. However they are concerned with traffic safety and the lack of stimulus in the playgrounds of the neighbourhood parks. Two large neighbourhoods with homes for about 30 000 inhabitants are now planned in the former Port Districts in the city centre of Helsinki. The other one, Jätkäsaari has been planned to become an attractive alternative for families with children. Traffic safety has been one of the main objects for the planning. The other, Kalasatama, has been planned to attract all groups in society.

Valikoiva muuttoliike Uudellamaalla

This thesis explores selective migration in Greater Helsinki region from the perspective of counterurbanisation. The aim of the study is to research whether the migration is selective by migrants age, education, income level or the rate of employment and to study any regional patterns formed by the selectivity. In the Helsinki region recent migratory developments have been shifting the areas of net migration gain away from the city of Helsinki to municipalities farther off on the former countryside. There has been discussion about Helsinki s decaying tax revenue base and whether the city s housing policy has contributed to the exodus of wealthier households. The central question of the discussion is one of selective migration: which municipalities succeed in capturing the most favourable migrants and which will lose in the competition. Selective migration means that region s in-migrants and out-migrants significantly differ from each other demographically, socially and economically. Sometimes selectivity is also understood as some individuals greater propensity to migrate than others but the proper notion for this would be differential migration. In Finnish parlance these two concepts have tended to get mixed up. The data of the study covers the total migration of the 34 municipalities of Uusimaa provinces during the years 2001 to 2003. The data was produced by Statistics Finland. Two new methods of representing the selectivity of migration as a whole were constructed during the study. Both methods look at the proportions of favourably selected migrants in regions inward and outward migrant flow. A large share in the inward flow and a small share in the outward flow is good for region s economy and demography. The first method calculates the differences of the proportions of favourably selected four migrant groups and sums the differences up. The other ranks the same proportions between regions giving value 1 to the largest proportion in inward flow and 34 to the smallest, and respectively in outward flow the smallest proportion gets value 1 and the largest 34. The total sum of the ranks or differences in proportions represents region s selectivity of migration. The results show that migration is indeed selective in the Greater Helsinki region. There also seems to be a spatial pattern centred around the Helsinki metropolitan region. The municipalities surrounding the four central communes are generally better of than those farther away. Not only these eight municipalities of the so called capital region benefit from the selective migration, but the favourable structure of migration extends to some of the small municipalities farther away. Some municipalities situated along the main northbound railway line are not coming through as well as other municipalities of the capital region. The selectivity of migration in Greater Helsinki region shows signs of counter-urbanisation. People look for suburban or small-town lifestyle no longer from Espoo or Vantaa, the neighbouring municipalities to Helsinki, but from the municipalities surrounding these two or even farther off. This kind of pattern in selective migration leads to unbalanced development in population structure and tax revenue base in the region. Migration to outskirts of the urban area also leads to urban sprawl and fragmentation of the urban structure: these issues have ecological implications. Selective migration should be studied more. Also the concept itself needs clearer definition and so do the methods to study the selectivity of migration.

The decline of malaria in Finland – the impact of the vector and social variables

Background: Malaria was prevalent in Finland in the 18th century. It declined slowly without deliberate counter-measures and the last indigenous case was reported in 1954. In the present analysis of indigenous malaria in Finland, an effort was made to construct a data set on annual malaria cases of maximum temporal length to be able to evaluate the significance of different factors assumed to affect malaria trends. Methods: To analyse the long-term trend malaria statistics were collected from 1750–2008. During that time, malaria frequency decreased from about 20,000 – 50,000 per 1,000,000 people to less than 1 per 1,000,000 people. To assess the cause of the decline, a correlation analysis was performed between malaria frequency per million people and temperature data, animal husbandry, consolidation of land by redistribution and household size. Results: Anopheles messeae and Anopheles beklemishevi exist only as larvae in June and most of July. The females seek an overwintering place in August. Those that overwinter together with humans may act as vectors. They have to stay in their overwintering place from September to May because of the cold climate. The temperatures between June and July determine the number of malaria cases during the following transmission season. This did not, however, have an impact on the longterm trend of malaria. The change in animal husbandry and reclamation of wetlands may also be excluded as a possible cause for the decline of malaria. The long-term social changes, such as land consolidation and decreasing household size, showed a strong correlation with the decline of Plasmodium. Conclusion: The indigenous malaria in Finland faded out evenly in the whole country during 200 years with limited or no counter-measures or medication. It appears that malaria in Finland was basically a social disease and that malaria trends were strongly linked to changes in human behaviour. Decreasing household size caused fewer interactions between families and accordingly decreasing recolonization possibilities for Plasmodium. The permanent drop of the household size was the precondition for a permanent eradication of malaria.

Pilottitutkimus apteekkien yksilöllisestä tupakoinninvieroituspalvelusta

Apteekkien yksilöllinen tupakoinninvieroituspalvelu on tupakoinnin lopettamiseen motivoituneille asiakkaille tarkoitettu maksullinen erikoispalvelu, joka sisältää 4–6 tapaamista vieroitusohjaajana toimivan farmaseutin tai proviisorin kanssa. Palvelu sisältää asiakkaalle räätälöityä neuvontaa, henkilökohtaisen vieroitussuunnitelman sekä seurantajakson. Apteekkien yksilöllinen tupakoinninvieroituspalvelu perustuu Isossa-Britanniassa kehitettyyn palvelumalliin, ja sitä on tarjottu suomalaisissa apteekeissa vuodesta 2006. Tämä pro gradu -tutkielma käsittelee apteekkien yksilöllisen tupakoinninvieroituspalvelun pilottitutkimusta, joka toteutettiin Suomen Apteekkariliiton ja Helsingin yliopiston farmasian tiedekunnan sosiaalifarmasian osaston yhteistyönä ja se kuului osana Hengitysliitto Heli ry:n koordinoimaa tupakasta vieroituksen hankekokonaisuutta. Tässä pro gradu -tutkielmassa tarkastellaan pilottitutkimuksessa saadun asiakasaineiston avulla apteekkien yksilöllisen tupakoinninvieroituspalvelumallin toimivuutta, asiakkaiden kokemuksia palvelusta, asiakkaiden onnistumista tupaakoinnin lopettamisessa sekä asiakkaiden kyvykkyyden tunteen kehittymistä palvelun aikana. Tässä interventiotutkimuksessa oli mukana 14 apteekkia, jotka rekrytoivat yhteensä 36 palveluasiakasta. Ennen asiakkaiden rekrytointia apteekit perehdytettiin palvelun tarjoamiseen. Apteekit tiedottivat pilottitutkimuksesta paikallisen terveydenhuollon lääkäreitä ja muita terveydenhuollon ammattilaisia, jotka voivat ohjata asiakkaita palveluun. Sosiaali- ja terveysministeriön pilottitutkimukselle myöntämä rahoitus mahdollisti asiantuntijapalkkion maksamisen apteekeille ja palvelun tarjoamisen asiakkaille ilmaiseksi tai pientä omakustannusosuutta vastaan. Asiakkaiden tupakoimattomana pysymistä sekä kokemuksia tupakoinninvieroituspalvelusta kartoitettiin kyselylomakkeilla, jotka asiakkaat saivat täytettäväkseen palvelun alussa sekä noin 3 kuukauden kohdalla palvelun alkamisesta. Asiakkaiden taustatiedot kerättiin ensimmäisen tapaamisen yhteydessä erillisille taustatietolomakkeille ja palvelun aikana tehtyjä huomioita niille tarkoitetuille kaavakkeille. Ensimmäisen kyselylomakkeen palauttaneista 28 henkilöstä 20 ja toisen kyselylomakkeen palauttaneista 17 henkilöstä 13 oli pysynyt tupakoimattomana (55,6 % ja 36,1 % kaikista asiakkaista). Kaikki tupakoinnin lopettaneet käyttivät jotakin tupakasta vieroituslääkettä. Tupakoinnin lopettaneilla asiakkailla kyvykkyyden tunne oli keskimääräistä parempi sekä palvelun alussa että koko palvelun ajan. Asiakkaat pitivät palvelua tarpeellisena ja apteekin vieroitusohjaajalta saatua tukea tärkeänä. Asiakkaat kokivat myös palvelun saamisen apteekista tärkeäksi. Noin 32 % ensimmäiseen kyselyyn vastanneista ja 41 % toiseen kyselyyn vastanneista oli valmis maksamaan palvelusta. Heidän ilmoittamansa maksuvalmius oli keskimäärin noin 45 euroa (10–100 euroa). Muusta terveydenhuollosta lähetettiin palveluun vain vähän tai ei lainkaan asiakkaita. Tästä syystä apteekit rekrytoivat asiakkaita myös ilman kontaktia muuhun terveydenhuoltoon. Palvelun 36 asiakkaasta noin 36 % oli pysynyt tupakoimattomana 3 kuukauden kohdalla. Verrokkiryhmä jouduttiin jättämään tutkimuksesta pois verrokkihenkilöiden rekrytoinnin epäonnistuttua. Tulos on kuitenkin vertailukelpoinen kansainvälisiin tutkimuksiin, joissa on saatu vastaavanlaisia tuloksia. Apteekkien yksilöllisestä tupakoinninvieroituspalvelusta saattaa olla hyötyä tupakoinnin lopettamisessa siihen motivoituneille henkilöille ja erityisesti henkilöille, jotka käyttävät lisäksi tupakasta vieroituslääkettä. Asiakkaat kokivat palvelun tärkeäksi ja tarpeelliseksi, mutta heikko maksuvalmius asettaa haasteita palvelun tarjoamiselle apteekeissa. Yhteistyömallia muun terveydenhuollon kanssa tulisi kehittää.