The Poetry of Logical Ideas: Towards a Mathematical Genealogy of Media Art

In this dissertation I chart a mathematical genealogy of media art, demonstrating that mathematical thought has had a significant influence on contemporary experimental moving image production. Rather than looking for direct cause and effect relationships between mathematics and the arts, I will instead examine how mathematical developments have acted as a cultural zeitgeist, an indirect, but significant, influence on the humanities and the arts. In particular, I will be narrowing the focus of this study to the influence mathematical thought has had on cinema (and by extension media art), given that mathematics lies comfortably between the humanities and sciences, and that cinema is the object par excellence of such a study, since cinema and media studies arrived at a time when the humanities and sciences were held by many to be mutually exclusive disciplines. It is also shown that many media scholars have been implicitly engaging with mathematical concepts without necessarily recognizing them as such. To demonstrate this, I examine many concepts from media studies that demonstrate or derive from mathematical concepts. For instance, Claude Shannon's mathematical model of communication is used to expand on Stuart Hall's cultural model, and the mathematical concept of the fractal is used to expand on Rosalind Krauss' argument that video is a medium that lends itself to narcissism. Given that the influence of mathematics on the humanities and the arts often occurs through a misuse or misinterpretation of mathematics, I mobilize the concept of a productive misinterpretation and argue that this type of misreading has the potential to lead to novel innovations within the humanities and the arts. In this dissertation, it is also established that there are many mathematical concepts that can be utilized by media scholars to better analyze experimental moving images. In particular, I explore the mathematical concepts of symmetry, infinity, fractals, permutations, the Axiom of Choice, and the algorithmic to moving images works by Hollis Frampton, Barbara Lattanzi, Dana Plays, T. Marie, and Isiah Medina, among others. It is my desire that this study appeal to scientists with an interest in cinema and media art, and to media theorists with an interest in experimental cinema and other contemporary moving image practices

On Musical Self-Similarity : Intersemiosis as Synecdoche and Analogy

Self-similarity, a concept borrowed from mathematics, is gradually becoming a keyword in musicology. Although a polysemic term, self-similarity often refers to the multi-scalar feature repetition in a set of relationships, and it is commonly valued as an indication for musical ‘coherence’ and ‘consistency’. In this study, Gabriel Pareyon presents a theory of musical meaning formation in the context of intersemiosis, that is, the translation of meaning from one cognitive domain to another cognitive domain (e.g. from mathematics to music, or to speech or graphic forms). From this perspective, the degree of coherence of a musical system relies on a synecdochic intersemiosis: a system of related signs within other comparable and correlated systems. The author analyzes the modalities of such correlations, exploring their general and particular traits, and their operational bounds. Accordingly, the notion of analogy is used as a rich concept through its two definitions quoted by the Classical literature—proportion and paradigm, enormously valuable in establishing measurement, likeness and affinity criteria. At the same time, original arguments by Benoît B. Mandelbrot (1924–2010) are revised, alongside a systematic critique of the literature on the subject. In fact, connecting Charles S. Peirce’s ‘synechism’ with Mandelbrot’s ‘fractality’ is one of the main developments of the present study

Music, sex, and religiosity : a cybernetic study on South African university students' use and interpretation of music media

For many people music is an important aspect of their daily life. Music preference is a complex subject tied to social identity, personality, leisure activities, religion, family and friends, and so forth. Music is also a form of expression, which is communicated to the public over various mediums and formats. The themes depicted in music media (music in the form of television, radio, and internet sources, both auditory and visually presented) are vast owing to the array of different artists and their individual worldviews that they put on offer for the public. The lyrical content and/or imagery put forward by musicians depicts an array of different themes, which are contextualised by individuals in their personal conception of their favourite music. The meaning that listeners/viewers attach to their music is equally related to their own background and life experience, including their belief system (religion). There has been a controversial increase in the sexualisation and explicitness of music media; however, there is a gap in the intersection between music, sex, and religiosity as a field of study. Understanding the influence of music media requires an understanding of the people who are experiencing this content. Taking a cybernetic approach and the position of the listener who determines the meaning of an utterance, as put forward by cyberneticist Heinz von Foerster, this study is a reflexive contextual enquiry into how people are experiencing and interpreting their music media and whether this media challenges their view on religion (if they consider themselves aligned to a religion). To address this broad research question, a two-part study was conducted. The first part consisted of a quantitative study of 459 students from the University of Johannesburg to obtain a snapshot of a young adult demographic in terms of their music media, sexuality, and religiosity choices. Thereafter, using the results from this first part of the study, a qualitative interview-based study was conducted. Together the quantitative and qualitative studies provide a basis for answering the main research question. The results show that the young adults in the study are thinking beings, not just manipulated by mainstream music media; rather, they decide what is right for them often motivated by their views on religion. Methodologies used in religious studies have been subject to criticism. One specific aspect is the lack of acknowledgment of epistemology within research designs. In addressing this critique, a second- order cybernetic study was conducted. By introducing a cybernetic approach to qualitative religious study, a new approach is thus also presented which is called A Reflexive Recursive Learning Approach to Religious Studies.Religious Studies and ArabicD. Litt. et Phil. (Religious Studies