My dissertation focuses on mathematical explanation found in proofs looked at from a historical point of view, while stressing the importance of mathematical practices. Current philosophical theories on explanatory proofs emphasize the structure and content of proofs without any regard to external factors that influence a proof’s explanatory power. As a result, the major philosophical views have been shown to be inadequate in capturing general aspects of explanation. I argue that, in addition to form and content, a proof’s explanatory power depends on its targeted audience. History is useful here, because from it, we are able to follow the transition from a first-generation proof, which is usually non-explanatory, into its explanatory version. By tracking the similarities and differences between these proofs, we are able to gain a better understanding of what makes a proof explanatory according to mathematicians who have the relevant background to evaluate it as so. My first chapter discusses why history is important for understanding mathematical practices. I describe two kinds of history: one that presents a narrative of events, which influenced developments in mathematics both directly and indirectly, and another, typically used in mathematical research, which concentrates only on technical developments. I contend that both versions of the past benefit the philosopher. History used in research gives us an idea of what mathematicians desire or find to be important, while history written by historians shows us what effects these have on mathematical practices. The next two chapters are about explanatory proofs. My second chapter examines the main theories of mathematical explanation. I argue that these theories are short-sighted as they only consider what appears in a proof without considering the proof’s purported audience or background knowledge necessary to understand the proof. In the third chapter, I propose an alternative way of analyzing explanatory proofs. Here, I suggest looking at a theorem’s history, which includes its successive proofs, as well as the mathematicians who wrote them. From this, we can better understand how and why mathematicians prove theorems in multiple ways, which depends on the purposes of these theorems. The last chapter is a case study on the computer proof of the Four Color Theorem by Appel and Haken. Here, I compare and contrast what philosophers and mathematicians have had to say about the proof. I argue that the main philosophical worry regarding the theorem—its unsurveyability—did not make a strong impact on the mathematical community and would have hindered mathematical development in computer-assisted proofs. By studying the history of the theorem, we learn that Appel and Haken relied on the strategy of Kempe’s flawed proof from the 1800s (which, obviously, did not involve a computer). Two later proofs, also aided by computer, were developed using similar methods. None of these proofs are explanatory, but not because of their massive lengths. Rather, the methods used in these proofs are a series of calculations that exhaust all possible configurations of maps.

E. G. Dolgikh Comparative study of color categories in Russian and Czech. Cognitive and Cultural Approach Summary The purpose of the study was to describe the contents of the selected categories of colors («Синий цвет», «Голубой цвет», «Коричневый цвет», «Серый цвет», «Розовый цвет», «Оранжевый цвет», «Фиолетовый цвет», «Modrá barva», «Hnědá barva», «Šedá barva», «Růžová barva», «Oranžová barva», «Fialová barva») using the example of their basic terms (синий, голубой, коричневый, серый, розовый, оранжевый, фиолетовый, modrý, hnědý, šedý, růžový, oranžový, fialový) in Russian and Czech, as well as to reveal the specifics of color vision of the world of Czech and Russian speakers by comparing the obtained data. In this study we chose to use the cognitive and cultural approach to the language where, for example, the lexical meaning of the word is viewed as a holistic image, a realized physical and sensual experience. The nature of the study has cultural linguistic tone, because, first of all, it examines the facts of the language and helps in making linguistic conclusions, and, secondly, - the results of the study allow us to make some conclusions about the social and cultural characteristics of Russians and Czechs. The study is based on analysis of contexts where selected color terms are used in the artistic...

This project’s origin lies in the clash of translucency and opacity in relation to color, knit and the body. This clash is explored through manipulated knitwear. By manipulating knitwear the interaction between opacity, translucency and the body inside becomes the vital core of this collection work. The main tool to manipulate the knit and to push the effect of translucency is the textile printing technique „devoré“.

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Color vision is widespread in the animal kingdom, and describes the ability to discriminate between objects purely based on the wavelengths that they reflect. Experiments across many species have isolated wavelength comparison in the brain as a computation underlying color vision. This comparison takes place in color opponent neurons, which respond with opposite polarity to wavelengths in different parts of the spectrum. In this work, I explore color opponency in the genetically tractable organism Drosophila melanogaster, where these circuits have only just begun to be described. Using two-photon calcium imaging, I measure the spectral tuning of photoreceptors in the fruit fly and identify circuit mechanisms that give rise to opponency. I find two pathways: an insect-specific pathway that compares wavelengths at each point in space, and a horizontal-cell-mediated pathway similar to that found in mammals. The horizontal-cell-mediated pathway enables additional spectral comparisons through lateral inhibition, expanding the range of chromatic encoding in the fly. Together, these two pathways enable efficient decorrelation and dimensionality reduction of photoreceptor signals while retaining maximal chromatic information. This dual mechanism combines motifs of both an insect-specific visual circuit and an evolutionarily convergent circuit architecture, endowing flies with the ability to extract chromatic information at distinct spatial resolutions.

This thesis investigates the notion, perception and mediation of whiteness in the Swedish-American immigrant newspapers coverage of lynchings of African-Americans between 1900–1922 and how the editors, of both the larger bourgeois and the smaller socialist and communist press, deployed it in the construction of the racial Swedish-American identity to mirror the contemporary American racial hierarchy.  A main departure point is that the Swedish-American identity, in part, was constructed in relation to other racialized groups in America but also to already existing groups in the American society such as the Anglo-Saxons, as the hegemon of what constituted whiteness, but also the descendants of African slaves as the polar opposite.  A crucial claim is that the Swedish-American immigrant group were socialized into the racial hierarchy of the contemporary American society by the Swedish-American newspapers. This was possible due to the Swedish-American bourgeois press normalized the victimization of the African-American community in regards to the practice of lynchings, both by how they reported on lynching cases but also by the very placement of news articles.  This study has shown that, with the exception of the communist press, the Swedish-American press participated in the practice of lynchings by reproducing and mediating different aspects of African-Americans Otherness and blackness to their readers by creating a color line between white and non-white Americans.

The purpose of this study is to investigate how indexical storytelling in a 3D scene could affect the players understanding of narrative and how they navigate the scene. The background of the study presents what indexical storytelling is and goes briefly into color interpretation.To answer how indexical storytelling affects players a 3D scene was made, containing indexical objects which the 10 participants could go through and explore in semi-structured qualitative interviews. This was to see if the participants understood the narrative of the scene and the similarities or dissimilarities between people with experience in different game genres.The result showed a possible tendency in the participants understanding the narrative of the scene. But additional studies and participants are required to be able to come to any larger scale conclusion or generalizations. / <p>Det finns övrigt digitalt material (t.ex. film-, bild- eller ljudfiler) eller modeller/artefakter tillhörande examensarbetet som ska skickas till arkivet.</p>

This thesis includes three separate research projects focusing on computer vision principles and deep learning pattern recognition problems. Chapter 3 entails color quantization applications using traditional Kmeans clustering techniques and random selection of color techniques within the red, green, blue (RGB) color space to maintain a high-quality image while significantly reducing image file size. Chapter 4 consists of a handwriting character recognition algorithm using backpropagation to classify 70,000 handwritten values from US Census Bureau employees and high school students. Chapter 5 proposes a novel classification technique for 109,446 unique heartbeat samples to identify areas of interest and assist medical professionals in diagnosing heart problems.

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Vår kunskapsöversikt fokuserar på att besvara frågan: hur kan lärare arbeta med färglärai bildundervisningen, för att öka elevers kunskap om färglära? Kunskapsöversikteninnefattar också att beskriva definitionen av färglära och hur färglära är relevant ibildundervisningen. Syftet med vår kunskapsöversikt är att presentera olikaundervisningsmodeller som innefattar färglära och vidare diskutera omundervisningsmodellerna fungerar för bildundervisningen, eller inte. För att finnarelevanta undervisningsmodeller för vår frågeställning, använder vi oss avlitteraturöversikt som metod. I sökandet efter relevanta undervisningsmodeller, märktevi att det fanns en brist på forskning kring framtagna modeller för färglära ibildundervisningen. Resultatet blev därför att vi fann några undervisningsmodeller somfungerar för vår frågeställning och några fungerar till viss del. Ett parundervisningsmodeller fungerar inte alls, men dessa undervisningsmodeller visar dockpotential för ett vidare arbete i färgundervisning och är därför med i vårkunskapsöversikt.