Ylirajaisia suhteita : Helsingin olympialaiset, Armi Kuusela ja ylikansallinen historia

In 1952 Helsinki hosted the Summer Olympic Games and Armi Kuusela, the current “Maiden of Finland”, was at the same time crowned Miss Universe. In popular history writing, these events have been designated as a crucial turning point – the end of an era marked by war and deprivation and the beginning of a modern, Western nation. Symptomatically, both events were marked by Finnish women’s sexual relationships with foreign men. The Olympics were shadowed by a concern over Finnish women’s “undue friendliness” with the Olympic guests, and Armi Kuusela's world tour was cut short by her surprise marriage in Tokyo and subsequent emigration to the Philippines. This study is an inquiry into the Helsinki Olympics and the public persona of Armi Kuusela from the point of view of transnational heterosexuality and the constitution of Finnish national identity. Methodologically the two main components of the study are intersectionality, defined here as a focus on the mutual histories and effects of discourses of gender, sexuality, race and nation; and transnational history as a way of exploring the ways that both nations and sexual subjects are embedded in global relations of power. The analysis proceeds by way of contextual and intertextual readings of various sources. Part one, centering on the Olympics, involves a campaign mounted by certain women’s organizations before the Games in order to educate young women about the potential dangers of the forthcoming international event as well as magazine and newspaper articles published during and after the Games concerning the encounter between young Finnish women and foreign, especially “Southern,” men. It places the debates during the Olympics within the framework of wartime understandings of women’s sexuality; the history of the concept of decency (siveellisyys); post-war population policy; the intersectional histories of conceptions pertaining to race and sexuality; and finally, the post-war concerns over women’s migration from rural areas to the capital city and their potential emigration abroad. Part two deals with the persona of Armi Kuusela and the public reception of her world tour and marriage, based on material from both Finland and the Philippines (newspapers, magazines, advertisements, books and films). It examines the persona of Armi Kuusela as a figure of national import in terms of the East/West divide; the racialized images of different geographic climates and Oriental “Others;” the meaning of whiteness in the Philippines; the significance of class and colonial history for the domestication of sexual and racial transgressions implied by an unconventional transnational marriage; as well as the cultural logics of transnational desire and its possible meanings for women in 1950s Finland. The study develops two arguments. First, it suggests that instead of being purely oppositional to national discourses, transnational desire may also be viewed as a product of these very discourses. Second, it claims that the national significance of both the Olympics and the persona of Armi Kuusela was due to the new points of comparison they both offered for national identity construction. In comparison with the sexualized Southern men at the Olympics and the racialized Orient in the representations of Armi Kuusela’s travels and marriage, Finland emerged as part of the civilized North, placed firmly within the perimeters of Western Europe. As such, both events mark a “whitening” of the Finnish people as well as a distancing from their previous designations in racial hierarchies. At the same time, however, the process of becoming a white nation inevitably meant complying with and reproducing racial hierarchies, rather than simply abolishing them.

On Games on Non-Wellfounded Sets and Stationary Sets

In this thesis we study a few games related to non-wellfounded and stationary sets. Games have turned out to be an important tool in mathematical logic ranging from semantic games defining the truth of a sentence in a given logic to for example games on real numbers whose determinacies have important effects on the consistency of certain large cardinal assumptions. The equality of non-wellfounded sets can be determined by a so called bisimulation game already used to identify processes in theoretical computer science and possible world models for modal logic. Here we present a game to classify non-wellfounded sets according to their branching structure. We also study games on stationary sets moving back to classical wellfounded set theory. We also describe a way to approximate non-wellfounded sets with hereditarily finite wellfounded sets. The framework used to do this is domain theory. In the Banach-Mazur game, also called the ideal game, the players play a descending sequence of stationary sets and the second player tries to keep their intersection stationary. The game is connected to precipitousness of the corresponding ideal. In the pressing down game first player plays regressive functions defined on stationary sets and the second player responds with a stationary set where the function is constant trying to keep the intersection stationary. This game has applications in model theory to the determinacy of the Ehrenfeucht-Fraisse game. We show that it is consistent that these games are not equivalent.

Weak Ehrenfeucht-Fraïssé Games

In this paper we define a game which is played between two players I and II on two mathematical structures A and B. The players choose elements from both structures in moves, and at the end of the game the player II wins if the chosen structures are isomorphic. Thus the difference of this to the ordinary Ehrenfeucht-Fra¨ıss´e game is that the isomorphism can be arbitrary, whereas in the ordinary EF-game it is determined by the moves of the players. We investigate determinacy of the weak EF-game for different (the length of the game) and its relation to the ordinary EF-game.

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