Temporality of the Face-to-Face in Levinas' Ethics

This thesis focuses on a connection between temporality and ethics in the philosophy of Emmanuel Levinas. I argue that Levinas understanding of temporality is rooted in the function of pra-impression which in its turn does not belong to the intentional consciousness but reveals a subject as being open to the Other. In the face-to-face situation with the Other the pra-impression is an essential and constitutive force: it fractures the moment of the present, questions subjectivity and generates a new meaning of temporality. As a result a responsible subject is revealed; responsibility for the Other marks a latent birth of the subject which is prior to any origin of subjectivity, it discloses a meaning of time that does not belong to the subject but is found in the Other. In this study I suggest that pra-impression finds its productive force in language, the function of the feminine, and what Levinas calls the other in the same .

Essays in Philosophical Moral Psychology

The dissertation consists of four essays and a comprehensive introduction that discusses the topics, methods, and most prominent theories of philosophical moral psychology. I distinguish three main questions: What are the essential features of moral thinking? What are the psychological conditions of moral responsibility? And finally, what are the consequences of empirical facts about human nature to normative ethics? Each of the three last articles focuses on one of these issues. The first essay and part of the introduction are dedicated to methodological questions, in particular the relationship between empirical (social) psychology and philosophy. I reject recent attempts to understand the nature of morality on the basis of empirical research. One characteristic feature of moral thinking is its practical clout: if we regard an action as morally wrong, we either refrain from doing it even against our desires and interests, or else feel shame or guilt. Moral views seem to have a conceptual connection to motivation and emotions – roughly speaking, we can’t conceive of someone genuinely disapproving an action, but nonetheless doing it without any inner motivational conflict or regret. This conceptual thesis in moral psychology is called (judgment) internalism. It implies, among other things, that psychopaths cannot make moral judgments to the extent that they are incapable of corresponding motivation and emotion, even if they might say largely the words we would expect. Is internalism true? Recently, there has been an explosion of interest in so-called experimental philosophy, which is a methodological view according to which claims about conceptual truths that appeal to our intuitions should be tested by way of surveys presented to ordinary language users. One experimental result is that the majority of people are willing to grant that psychopaths make moral judgments, which challenges internalism. In the first article, ‘The Rise and Fall of Experimental Philosophy’, I argue that these results pose no real threat to internalism, since experimental philosophy is based on a too simple conception of the relationship between language use and concepts. Only the reactions of competent users in pragmatically neutral and otherwise conducive circumstances yield evidence about conceptual truths, and such robust intuitions remain inaccessible to surveys for reasons of principle. The epistemology of folk concepts must still be based on Socratic dialogue and critical reflection, whose character and authority I discuss at the end of the paper. The internal connection between moral judgment and motivation led many metaethicists in the past century to believe along Humean lines that judgment itself consists in a pro-attitude rather than a belief. This expressivist view, as it is called these days, has far-reaching consequences in metaethics. In the second essay I argue that perhaps the most sophisticated form of contemporary expressivism, Allan Gibbard’s norm-expressivism, according to which moral judgments are decisions or contingency plans, is implausible from the perspective of the theory of action. In certain circumstances it is possible to think that something is morally required of one without deciding to do so. Morality is not a matter of the will. Instead, I sketch on the basis of Robert Brandom’s inferentialist semantics a weak form of judgment internalism, according to which the content of moral judgment is determined by a commitment to a particular kind of practical reasoning. The last two essays in the dissertation emphasize the role of mutual recognition in the development and maintenance of responsible and autonomous moral agency. I defend a compatibilist view of autonomy, according to which agents who are unable to recognize right and wrong or act accordingly are not responsible for their actions – it is not fair to praise or blame them, since they lacked the relevant capacity to do otherwise. Conversely, autonomy demands an ability to recognize reasons and act on them. But as a long tradition in German moral philosophy whose best-known contemporary representative is Axel Honneth has it, both being aware of reasons and acting on them requires also the right sort of higher-order attitudes toward the self. Without self-respect and self-confidence we remain at the mercy of external pressures, even if we have the necessary normative competence. These attitudes toward the self, in turn, are formed through mutual recognition – we value ourselves when those who we value value us. Thus, standing in the right sort of relations of recognition is indirectly necessary for autonomy and moral responsibility. Recognition and valuing are concretely manifest in actions and institutions, whose practices make possible participation on an equal footing. Seeing this opens the way for a kind of normative social criticism that is grounded in the value of freedom and automomy, but is not limited to defending negative rights. It thus offers a new way to bridge the gap between liberalism and communitarianism.

The Restless Love of Thinking : The Concept Liebe in Hegel's Philosophy

The German philosopher G.W.F.Hegel (1770–1831) is best known for his idealistic system philosophy, his concept of spirit [Geist] and for his dictum that the existing and the rational overlap. This thesis offers a new perspective: it examines the working of the concept ‘love’ in Hegel’s philosophy by looking at the contexts and function he puts it to, from his earliest writings to the very last lectures he gave. The starting point of the inquiry is that he applied the concept Liebe to different contexts for different purposes, but each time to provide an answer to a specific philosophical problem. His formulation, reformulation and use of ‘love’ give possible solutions to problems the solving of which was crucial to the development of his thought as a whole. The study is divided into three parts, each analysing the different problems and solutions to which Hegel applied the concept of love. The first part, "Love, morality and ethical life", examines these interconnected themes in Hegel’s early work. The main questions he addressed during this period concerned how to unite Kant’s philosophy and the Greek ideal of the good life. In this context, the concept ‘love’ did three things. First, it served to formulate his grounding idea of the relation between unity and difference, or the manifold. Secondly, it was the key to his attempt to base an ideal folk religion on Christianity interpreted as a religion of love. Finally, it provided the means to criticise Kant’s moral philosophy. The question of the moral value of love helped Hegel to break away from Kant’s thought and develop his own theory about love and ethical life. The second part of the study, "Love and the political realm", considers the way 'Liebe' functions in connection with questions concerning the community and political life in Hegel’s work. In addition to questioning the universal applicability of the concept of recognition as a key to his theory of social relations, the chapters focus on gender politics and the way he conceptualised the gender category ‘woman’ through the concept ‘love’. Another line of inquiry is the way the figure of Antigone was used to conceptualise the differentiated spheres of action for men and women, and the part ‘love’ played in Hegel’s description of Antigone’s motives. Thirdly, Hegel’s analogy of the family and the state and the way ‘love’ functions in an attempt to promote understanding of the relation between citizens and the state are examined. The third and final part of the study, "Love as absolute spirit", focuses on ‘love’ within Hegel’s systemic thought and the way he continued to characterise Geist through the language of Liebe up until and including his very last works. It is shown how Liebe functions in his hierarchical organisation of the domains of art, religion and philosophy, and how both art and religion end up in similar structural positions with regard to philosophy. One recurrent theme in the third part is Hegel’s complex relation to Romantic thought. Another line of investigation is how he reconstructed Christianity as a religion of love in his mature work. In striking contrast to his early thought, in his last works Hegel introduced a new concept of love that incorporated negativity, and that could also function as the root of political action.

Population dynamics of blue mussels in a variable environment at the edge of their range

Spatial and temporal variation in the abundance of species can often be ascribed to spatial and temporal variation in the surrounding environment. Knowledge of how biotic and abiotic factors operate over different spatial and temporal scales in determining distribution, abundance, and structure of populations lies at the heart of ecology. The major part of the current ecological theory stems from studies carried out in central parts of the distributional range of species, whereas knowledge of how marginal populations function is inadequate. Understanding how marginal populations, living at the edge of their range, function is however in a key position to advance ecology and evolutionary biology as scientific disciplines. My thesis focuses on the factors affecting dynamics of marginal populations of blue mussels (Mytilus edulis) living close to their tolerance limits with regard to salinity. The thesis aims to highlight the dynamics at the edge of the range and contrast these with dynamics in more central parts of the range in order to understand the potential interplay between the central and the marginal part in the focal system. The objectives of the thesis are approached by studies on: (1) factors affecting regional patterns of the species, (2) long-term temporal dynamics of the focal species spaced along a regional salinity gradient, (3) selective predation by increasing populations of roach (Rutilus rutilus) when feeding on their main food item, the blue mussel, (4) the primary and secondary effects of local wave exposure gradients and (5) the role of small-scale habitat heterogeneity as determinants of large-scale pattern. The thesis shows that populations of blue mussels are largely determined by large scale changes in sea water salinity, affecting mainly recruitment success and longevity of local populations. In opposite to the traditional view, the thesis strongly indicate that vertebrate predators strongly affect abundance and size structure of blue mussel populations, and that the role of these predators increases towards the margin where populations are increasingly top-down controlled. The thesis also indicates that the positive role of biogenic habitat modifiers increases towards the marginal areas, where populations of blue mussels are largely recruitment limited. Finally, the thesis shows that local blue mussel populations are strongly dependent on high water turbulence, and therefore, dense populations are constrained to offshore habitats. Finally, the thesis suggests that ongoing sedimentation of rocky shores is detrimental for the species, affecting recruitment success and post-recruit survival, pushing stable mussel beds towards offshore areas. Ongoing large scale changes in the Baltic Sea, especially dilution processes with attendant effects, are predicted to substantially contract the distributional range of the mussel, but also affect more central populations. The thesis shows that in order to understand the functioning of marginal populations, research should (1) strive for multi-scale approaches in order to link ecosystem patterns with ecosystem processes, and (2) challenge the prevailing tenets that origin from research carried out in central areas that may not be valid at the edge.

Hur höra tyst kunskap? Utveckling av en metod för studier av tyst kunnande

Det tysta kunnandet utgör en stor del av kunskapsresursen både hos oss som individer och i arbetsorganisationerna. Trots att vi omger oss med böcker, manualer och databaser, som alla är exempel på explicit kunskap, så är det ”den rätta känslan”, erfarenheten och våra färdigheter som avgör om och hur vi klarar av våra uppgifter. Dessa begrepp är alla relaterade till den tysta dimensionen av kunskap. En dimension som traditionellt karaktäriserats som abstrakt, individuell, omedveten, praktisk, erfarenhetsbaserad och framför allt svår att uttrycka. Alla dessa är karaktärsdrag som ställt speciella krav inom kunskapsforskning och -ledning. Resultatet av detta är att både forskning och ledning av det tysta kunnandet har åsidosatts till förmån för forskning och ledning av explicit kunskap. Ett bidragande problem har varit bristen på lämpliga metoder för att ur ett företagsekonomiskt perspektiv studera och leda tyst kunnande. Ett annat problem har varit oklarhet i begreppet tyst kunskap. Detta har lett till brist på förståelse och/eller missförstånd. För att råda bot på svårigheten att uttrycka vårt tysta kunnande har människan utvecklat olika begrepp som i vår vardagskommunikation symboliserar tyst kunnande. Begrepp som intuition, människokännedom, förhandlingsförmåga och kultur används vanligt och med dem uttrycker vi den tysta dimensionen av kunnande. Dessa begrepp utgör även grunden för den intervjumetod som utvecklats för att empiriskt studera eller i ledningssyfte kartlägga tyst kunnande. Metoden använder dessa ”Epitet för Tyst Kunskap” (ETK) som bas för stimuluskort-intervjuer. Intervjuer som visat sig öka möjligheten att utforska och kartlägga tyst kunnande i organisationer oberoende av om man är forskare eller företagsledare.

Lojalitet i licensavtal

Loyalty in Licensing Agreements The purpose of the dissertation is to analyse the impact of the principle of loyalty on licensing agreements from the viewpoint of Finnish law using the traditional legal method (Rechtsdogmatik) combined with empirical data in the form of licensing agreements. The need for good licensing agreements is crucial. One should avoid mechanical and stereotyped agreements in favour of more conscious and goal-oriented ones. When the parties' will and goals have been made clear, the drafting technique should be chosen accordingly. The importance of the principle of loyalty in the interpretation of licensing agreements varies according to their degree of relationality. This is a concept originating in the relational contract theory, more precisely Ian Macneil's spectrum of contracts, where contracts can be placed on an axis according to their degree of relationality. In the dissertation different factors are used to conclude whether the licensing agreement at hand is to be placed on the axis closer to the transactional pole or closer to the relational pole. A conclusion of the dissertation is that few licensing agreements can be placed so close to the transactional pole, that the principle of loyalty lacks importance altogether. The impact of the principle of loyalty the main focus of which is on fostering the contracting parties to behave in accordance with best practices, not for example on altering contract terms is analysed in different situations where the parties' interests typically collide. These situations are discussed from the point of view of three patent and knowhow licensing agreements that differ as to their degree of relationality. A balance needs to be struck between freedom of contract and relational needs. Especially when interpreting more modern licensing agreements, one should not focus on the written document alone, as is often recommended in the literature on Nordic intellectual property law. Neither is the principle of caveat emptor a proper starting point. Moreover, where the parties are of equal bargaining power, one should not assume that the grants in licensing agreements are to be interpreted narrowly. Focus in the interpretation should instead be on the entirety of the circumstances.

Nonlinear mixture autoregressive model: economic applications

The aim of this dissertation is to model economic variables by a mixture autoregressive (MAR) model. The MAR model is a generalization of linear autoregressive (AR) model. The MAR -model consists of K linear autoregressive components. At any given point of time one of these autoregressive components is randomly selected to generate a new observation for the time series. The mixture probability can be constant over time or a direct function of a some observable variable. Many economic time series contain properties which cannot be described by linear and stationary time series models. A nonlinear autoregressive model such as MAR model can a plausible alternative in the case of these time series. In this dissertation the MAR model is used to model stock market bubbles and a relationship between inflation and the interest rate. In the case of the inflation rate we arrived at the MAR model where inflation process is less mean reverting in the case of high inflation than in the case of normal inflation. The interest rate move one-for-one with expected inflation. We use the data from the Livingston survey as a proxy for inflation expectations. We have found that survey inflation expectations are not perfectly rational. According to our results information stickiness play an important role in the expectation formation. We also found that survey participants have a tendency to underestimate inflation. A MAR model has also used to model stock market bubbles and crashes. This model has two regimes: the bubble regime and the error correction regime. In the error correction regime price depends on a fundamental factor, the price-dividend ratio, and in the bubble regime, price is independent of fundamentals. In this model a stock market crash is usually caused by a regime switch from a bubble regime to an error-correction regime. According to our empirical results bubbles are related to a low inflation. Our model also imply that bubbles have influences investment return distribution in both short and long run.

Hyperbolisen geometrian puolitasomalli

Tutkin Pro Gradu työssäni hyperbolista geometriaa puolitasomallin kautta. Tutkielman päätuloksena on osoittaa, että pari (H,dH) on polkumetrinen avaruus. Aloitan tutkielman käsittelemällä puolitasomallia yleisesti. Määrittelen peruskäsitteitä kuten puolitasomallin joukon H ja kaksi eri tyyppistä hyperbolista suoraa. Toisessa luvussa lähden tutkimaan joukkoa nimeltä Riemannin kuula. Kyseinen joukko on oleellinen puolitasomallin tarkastelun kannalta. Riemannin kuulan tarkastelu vie luontevasti tutkimaan Möbius-kuvauksia, jotka säilyttävät hyperbolisen pituuden puolitasomallissa. Nämä kuvaukset ovat tärkeitä kun käsittelen hyperbolista pituutta ja etäisyyttä. Neljännessä luvussa siirryn tarkastelemaan kaaren pituutta kompleksitasossa. Esittelen polun pituuden käsitteen polkuintegraalin avulla. Viidennessä luvussa siirryn tutkimaan kaaren pituutta joukossa H ja määrittelen hyperbolisen pituuden käsitteen. Kuudennessa luvussa esittelen metriikan käsitteen. Tämän lisäksi määrittelen käsitteen polkumetrinen avaruus. Viimeisessä luvussa todistan, että pari (H,dH) on polkumetrinen avaruus. Samalla määrittelen hyperbolisen etäisyyden dH.

Valaistusyhtälö

Tässä tietokonegrafiikan alan tutkielmassa tutkitaan annetun kohteen tai maailman valaistuksen määrittämistä laskennallisesti. Ilmiöt kuvataan fysikaalisesti ja valaistusta mallinnetaan ilmiöitä kuvaavilla yhtälöillä. Yhtälöiden ratkaisu perustuu valonsäteiden etenemisen ja sironnan laskennalliseen seurantaan. Näin johdettua matemaattista mallia tutkitaan ja yhtälöiden ratkaisut muotoillaan tietokoneella laskettavaan muotoon. Lopuksi ohjelmoidaan esiteltyä teoriaa hyödyntävä numeerinen ratkaisija ja esitellään käytetyt menetelmät ja tulokset. Valaistuksen matemaattista mallintamista lähestytään fysikaaliselta pohjalta. Aluksi esitellään valon luonnetta ja yhteyttä sähkömagneettiseen säteilyyn ja ihmisen näköjärjestelmään. Tämän jälkeen paneudutaan valonsäteiden heijastumiseen ja sirontaan ja yleistetään klassiset ideaaliset sirontamallit huomioimaan pinnan hienorakenne sirontajakaumilla. Tutkittu ongelma muotoillaan matemaattisiksi yhtälöiksi jotka ratkaistaan analyyttisesti. Ratkaisu osoittautuu intuitiiviseksi: valaistus saadaan laskemalla valonlähteistä emittoituvan valon kaikkien kertalukujen heijastukset. Analyyttinen ratkaisu muotoillaan rekursiiviseksi ja ratkaistaan todennäköisyyslaskentaan perustuvalla Monte Carlo -integroinnilla, jonka suppenemista nopeutetaan tärkeysotannalla. Numeerinen ratkaisu osoitetaan odotusarvoisesti harhattomaksi ja ratkaisun virheen osoitetaan puolittuvan laskentapisteiden määrän nelinkertaistuessa. Käytettävä todennäköisyyslaskenta esitellään pääpiirteittäin. Numeerinen ratkaisumenetelmä on stokastista säteenseurantaa yleistävä polunseuranta. Maailma määritellään kolmioverkkona ja pintojen normaalit annetaan kolmioiden kärkipisteissä. Kolmioista muodostetaan kuvaus tasopinnalle, josta voidaan tarvittaessa lukea esimerkiksi pinnan tarkemmat normaalit, sirontaominaisuudet tai absorptiospektri. Numeerisen ratkaisun eniten aikaa vievä osuus on valonsäteen seuraavan osumapisteen selvitys maailman pintojen välillä. Ratkaisua nopeutetaan tallentamalla maailman kolmiot tehokkaaseen tietorakenteeseen, kd-puuhun, joka mahdollistaa valonsäteen ja suurten kolmiojoukkojen nopeat leikkaustarkistukset. Kd-puun ajatus ja toteutus esitellään työssä lyhyesti. Lopuksi esitellään ratkaisun eri vaiheet ja teoria käytännössä ja nähdään konkreettisesti eri menetelmien merkitys numeerisen ratkaisijan tuottamaan kuvaan. Lisäksi esitellään tehokas prioriteettijonoon perustuva adaptiivinen menetelmä kuvaan jääneen kohinan pienentämiseksi tutkimalla näytteistyksen otoskeskihajonnan ja keskiarvon suhdetta kuvapisteittäin.

Vakuutustoiminnan sijoitusriskit

Riskiteorian klassisessa vararikkomallissa mallinnetaan ainoastaan yhtiön kassavirtaa, jossa tapahtuvaa tappiota kuvataan kunakin vuonna satunnaismuuttujilla Q, joiden oletetaan olevan toisistaan riipumattomia ja noudattavan samaa todennäköisyyslakia. Yhtiön tulkitaan olevan vararikossa mikäli Q:den summa ylittää jonain hetkenä yhtiön alkupääoman. Klassisessa vararikkomallissa rahan arvo on siis sama kaikkina ajanhetkinä. Todellisuudessa raha kasvaa korkoa ja vakuutusyhtiö harjoittaa myös riskillistä sijoitustoimintaa, jonka tulos vaikuttaa merkittävästi yhtiön kunkin hetkisen pääoman määrään. Tässä tutkielmassa vararikkomalliin lisätään yhtiön kunkin vuoden sijoitustuottoja kuvaavat satunnaismuuttujat M, jotka täytyy Q:den tapaan olettaa riippumattomiksi sekä samoin jakautuneiksi. Tämäkään malli ei kuvaa todellisen yhtiön tilannetta kovin hyvin, mutta on kuitenkin hieman realistisempi kuin klassinen malli. Yhtiön alkupääoman sekä tarkastelujakson pituuden täytyy lisäksi olettaa lähestyvän ääretöntä. Tällöin on mahdollista muodostaa ns. implisiittistä uusiutumisteoriaa hyödyntäen asymptoottisia tuloksia yhtiön vararikkotodennäköisyydelle.

Cliffordin analyysi ja sovelluksia

Cliffordin algebrat ovat äärellisulotteisia reaali- tai kompleksikertoimisia algebroja, jotka yleistävät kvaterneja ja kompleksilukuja. Näitä algebroja on kutsuttu myös geometrisiksi algebroiksi. Tässä tutkielmassa tarkastellaan analyysiä Cliffordin algebroilla ja sen sovelluksia. Analyysi tässä tarkoittaa sitä, että tarkastellaan Cliffordin algebraarvoisia funktioita, jotka omaavat erikseen määriteltyjä sileysominaisuuksia. Sovelluskohteina ovat osittaisdifferentiaaliyhtälöt ja reuna-arvo-ongelmat. Menetelmät ovat klassisia kompleksianalyysin menetelmiä. Tutkielmassa esitellään Cliffordin algebrat yleisille neliömuodollisille avaruuksille. Keskeisiä algebrallisia ominaisuuksia ovat Frobeniuksen teoreema ja perusoperaatiot. On yleisesti tunnettua, että kvaterneilla voidaan esittää kolmiulotteisen ja neljäulotteisen avaruuden rotaatiot. Tutkielmassa esitellään, miten Cliffordin ryhmiä, jotka ovat Cliffordin algebrojen osajoukkoja, käytetään useamman ulottuvuuden rotaatioiden esityksessä. Toinen sovelluskohde on Möbius-kuvausten esittäminen Vahlenin matriiseilla. Tutkielman toisessa osiossa määritellään monogeeniset funktiot erään Diracin operaattorin nollaratkaisuina. Monogeenisten funktioiden pääominaisuus on Cauchyn integraalikaava. Välittömiä seurauksia ovat esimerkiksi potenssisarjakehitelmät, analyyttisuus, Liuvillen teoreema ja muut klassisen kompleksianalyysin tuloksien yleistykset. Toisaalta monet kompleksianalyysin tulokset eivät yleisty. Esimerkiksi monogeenisten funktioiden tulo ei ole yleisesti ottaen monogeeninen. Potenssisarjat voidaan esittää monogeenisten polynomeiden avulla. Esitämme kannan monogeenisten polynomien avaruudelle käyttäen CK-laajennusta. Cauchyn ytimen ominaisuuksien avulla tarkastelemme Diracin operaattorin reuna-arvo-ongelmia ja nk. D-ongelmaa. Käyttäen Rungen lauseen yleistystä osoitamme D-ongelman yleisen ratkaistavuuden. Toisaalta reuna-arvo-ongelman ratkaistavuus karakterisoidaan käyttäen Cauchyn ytimen reuna-arvo-ominaisuuksia ja hyppyrelaatioita. Keskeinen sovellus tuloksille on aikaharmonisen Maxwellin yhtälön reuna-arvo-ongelmien tarkastelu. Mielenkiintoista on myös, miten Diracin operaattori linearisoi Laplacen operaattorin ja aalto-operaattorin. Toisaalta Diracin operaattorin avulla voidaan ilmaista Maxwellin yhtälöt tiiviissä muodossa. Muita tuloksia tutkielmassa ovat meromorfifunktioiden määritelmä ja Mittag-Lefflerin lause. Tutkielman lopuksi tarkastellaan lyhyesti harmonisten funktioiden ja monogeenisten funktioiden suhdetta. Jokainen harmoninen funktio on jonkin monogeenisen funktion reaaliosa. Tosin monogeeninen funktio ei ole yksikäsitteisesti määrätty sen reaaliosan avulla.

Gadamers hermeneutik och naturvetenskaplig experimentering

I detta arbete undersöks naturvetenskaplig kunskap ur ett filosofiskt perspektiv. Arbetets centrala ämne är det naturvetenskapliga experimenterandets praktiska aspekter och deras anknytningar till den teoretiska naturvetenskapliga kunskapen. Ämnet behandlas med hjälp av Hans-Georg Gadamers hermeneutiska filosofi i boken Wahrheit und Methode. Gadamers utgångspunkt i denna bok är att hermeneutiken beskriver vad som händer i texttolkning då en tolkare förstår en skriven text, men han antyder också att hermeneutiken har vidare tillämpningsområden, till och med att den universalt beskriver alla former av mänsklig förståelse. Syftet med detta arbete är att undersöka hur Gadamers hermeneutik kan tillämpas på naturvetenskaplig förståelse och vilka ändringar man då måste införliva i hermeneutiken samt att skissa grunddragen för en hermeneutisk modell av naturvetenskaplig kunskap. I arbetet presenteras först de centrala elementen i Gadamers hermeneutiska filosofi, speciellt föromdömens positiva inverkan på tolkandet och den verkningshistoriska effekten bakom varje tolkning. Sedan diskuteras bristerna i Gadamers argument för hermeneutikens universalitet, speciellt hans starka betoning av språket som grunden för all förståelse. Om Gadamers hermeneutik skall kunna tillämpas på naturvetenskapens område måste även observationer kunna vara föremål för tolkning. De dominanta trenderna i vetenskapsfilosofin då Gadamer skrev Wahrheit und Methode är en förklaring till att Gadamer starkt förbinder sig till textförståelsen och oftast diskuterar den naturvetenskapliga kunskapen endast som en negativ motpol till den humanvetenskapliga. Vetenskapsfilosofins utveckling efter Wahrheit und Methode, speciellt det faktum att fullständig objektivitet inte mera anses vara ett realistiskt ideal, höjer förväntningarna på hermeneutikens värde för naturvetenskapernas filosofi. Till följande diskuteras tre bidrag till naturvetenskapernas filosofi som är speciellt värdefulla för en hermeneutiken. Den första av dessa är Sylvain Brombergers analys av ovisshet i vetenskapliga undersökningar. Bromberger hävdar att vetenskaplig forskning riktas mot frågor vars svar forskaren inte kan föreställa sig på förhand. Brombergers analys tyder på att det finns en hermeneutisk dialektik av frågor och svar i naturvetenskapliga experiment där forskaren strävar till att göra observationer för att besvara sina frågor. Det andra bidraget är Michael Polanyis studie av den praktiska och personliga kunskapens betydelse för all vetenskaplig forskning. Här är speciellt det vetenskapliga språkets utveckling i samband med experimentering av intresse. Det tredje bidraget är Robert Creases studie av experimentella observationer som visar att observationstolkning innefattar många element som kan förknippas med hermeneutiken. Analysen av de tre ovannämnda studierna leder till följande slutsatser. Den naturvetenskapliga forskningens hermeneutiska element förväntas vara starkt framför allt i experimentell forskning där forskaren utreder nya frågor i en kontinuerlig dialog av tekniskt prövande, praktisk identifiering och språklig beskrivning av nya fenomen. Speciellt beaktansvärd är skillnaden mellan verifierande och upptäckande naturvetenskapliga undersökningar. Tidigare resultat kan verifieras med hjälp av mätningar som specificeras på förhand, men ingen kan på förhand specificera de tekniska och språkliga steg som krävs för ett framgångsrikt upptäckande experiment. Experimentella upptäckter kräver därför en praktisk kunskap som inte kan reduceras till ren teori eller metodologi. Denna praktiska kunskap kan beskrivas med hjälp av Gadamers hermeneutik. Till sist diskuteras vissa grundläggande drag som kan sägas vara karakteristiska för en hermeneutisk modell av naturvetenskaplig kunskap. Speciellt den naturvetenskapliga kunskapens historiska natur, fördomarnas betydelse i naturvetenskaplig forskning samt vikten av forskarens personliga perspektiv i den naturvetenskapliga observationen är viktiga stöttestenar som gör att den hermeneutiska naturvetenskapsmodellen skiljer sig betydligt från modeller som betonar naturvetenskapernas objektivitet. Men det hermeneutiska perspektivet utesluter inte nödvändigtvis andra perspektiv. Dess huvudsakliga nytta är att den tillåter oss att undersöka sidor av naturvetenskaplig kunskap som objektivitetsbetonande modeller lämnar alltför mycket i skymundan. Till dessa hör speciellt det praktiska arbetet i naturvetenskaplig experimentering.

Embracing Integrability in Stellar and Planetary Dynamics

Hamiltonian systems in stellar and planetary dynamics are typically near integrable. For example, Solar System planets are almost in two-body orbits, and in simulations of the Galaxy, the orbits of stars seem regular. For such systems, sophisticated numerical methods can be developed through integrable approximations. Following this theme, we discuss three distinct problems. We start by considering numerical integration techniques for planetary systems. Perturbation methods (that utilize the integrability of the two-body motion) are preferred over conventional "blind" integration schemes. We introduce perturbation methods formulated with Cartesian variables. In our numerical comparisons, these are superior to their conventional counterparts, but, by definition, lack the energy-preserving properties of symplectic integrators. However, they are exceptionally well suited for relatively short-term integrations in which moderately high positional accuracy is required. The next exercise falls into the category of stability questions in solar systems. Traditionally, the interest has been on the orbital stability of planets, which have been quantified, e.g., by Liapunov exponents. We offer a complementary aspect by considering the protective effect that massive gas giants, like Jupiter, can offer to Earth-like planets inside the habitable zone of a planetary system. Our method produces a single quantity, called the escape rate, which characterizes the system of giant planets. We obtain some interesting results by computing escape rates for the Solar System. Galaxy modelling is our third and final topic. Because of the sheer number of stars (about 10^11 in Milky Way) galaxies are often modelled as smooth potentials hosting distributions of stars. Unfortunately, only a handful of suitable potentials are integrable (harmonic oscillator, isochrone and Stäckel potential). This severely limits the possibilities of finding an integrable approximation for an observed galaxy. A solution to this problem is torus construction; a method for numerically creating a foliation of invariant phase-space tori corresponding to a given target Hamiltonian. Canonically, the invariant tori are constructed by deforming the tori of some existing integrable toy Hamiltonian. Our contribution is to demonstrate how this can be accomplished by using a Stäckel toy Hamiltonian in ellipsoidal coordinates.

Properties of Toeplitz operators on analytic function spaces : from function symbols to distributions

Toeplitz operators are among the most important classes of concrete operators with applications to several branches of pure and applied mathematics. This doctoral thesis deals with Toeplitz operators on analytic Bergman, Bloch and Fock spaces. Usually, a Toeplitz operator is a composition of multiplication by a function and a suitable projection. The present work deals with generalizing the notion to the case where the function is replaced by a distributional symbol. Fredholm theory for Toeplitz operators with matrix-valued symbols is also considered. The subject of this thesis belongs to the areas of complex analysis, functional analysis and operator theory. This work contains five research articles. The articles one, three and four deal with finding suitable distributional classes in Bergman, Fock and Bloch spaces, respectively. In each case the symbol class to be considered turns out to be a certain weighted Sobolev-type space of distributions. The Bergman space setting is the most straightforward. When dealing with Fock spaces, some difficulties arise due to unboundedness of the complex plane and the properties of the Gaussian measure in the definition. In the Bloch-type spaces an additional logarithmic weight must be introduced. Sufficient conditions for boundedness and compactness are derived. The article two contains a portion showing that under additional assumptions, the condition for Bergman spaces is also necessary. The fifth article deals with Fredholm theory for Toeplitz operators having matrix-valued symbols. The essential spectra and index theorems are obtained with the help of Hardy space factorization and the Berezin transform, for instance. The article two also has a part dealing with matrix-valued symbols in a non-reflexive Bergman space, in which case a condition on the oscillation of the symbol (a logarithmic VMO-condition) must be added.