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"Presences of the Infinite": J.M. Coetzee and Mathematics
No full textThis thesis articulates the resonances between J. M. Coetzee's lifelong engagement with mathematics and his practice as a novelist, critic, and poet. Though the critical discourse surrounding Coetzee's literary work continues to flourish, and though the basic details of his background in mathematics are now widely acknowledged, his inheritance from that background has not yet been the subject of a comprehensive and mathematically- literate account. In providing such an account, I propose that these two strands of his intellectual trajectory not only developed in parallel, but together engendered several of the characteristic qualities of his finest work. The structure of the thesis is essentially thematic, but is also broadly chronological. Chapter 1 focuses on Coetzee's poetry, charting the increasing involvement of mathematical concepts and methods in his practice and poetics between 1958 and 1979. Chapter 2 situates his master's thesis alongside archival materials from the early stages of his academic career, and thus traces the development of his philosophical interest in the migration of quantificatory metaphors into other conceptual domains. Concentrating on his doctoral thesis and a series of contemporaneous reviews, essays, and lecture notes, Chapter 3 details the calculated ambivalence with which he therein articulates, adopts, and challenges various statistical methods designed to disclose objective truth. Chapter 4 explores the thematisation of several mathematical concepts in Dusklands and In the Heart of the Country. Chapter Five considers Waiting for the Barbarians and Foe in the context provided by Coetzee's interest in the attempts of Isaac Newton to bridge the gap between natural language and the supposedly transparent language of mathematics. Finally, Chapter 6 locates in Elizabeth Costello and Diary of a Bad Year a cognitive approach to the use of mathematical concepts in ethics, politics, and aesthetics, and, by analogy, a central aspect of the challenge Coetzee's late fiction poses to the contemporary literary landscape
The evolution of cooperation and diversity in public good producing organisms
No full textIn a population of altruists, all individuals thrive. But altruists are exploited by cheating individuals which do not perform altruistic acts but still benefit from those. In these conditions cooperation cannot easily evolve. This issue is resolved by kin recognition: altruists recognise each other through the use of a conspicuous tag. These altruists do well until cheaters acquire the signalling tag and disrupt the cooperation. But altruists using a different tag can then invade the population, followed by new cheaters. This mechanism can lead to a diversity of tags coexisting in the population. However it has not yet been applied in realistic biological systems. In this thesis, I formulated mathematical and simulation models to investigate the effect of diversity on the evolutionary dynamics in systems where different altruists compete with cheaters. In particular, I focused on organisms producing public goods, i.e. goods that can profit to the whole population. I considered two biological systems models: gynodioecious populations of plants, where hermaphrodites produce pollen that can be used by female-only individuals, and bacteria producing an iron-chelating molecule, called siderophore, that can be exploited by both producers and non-producers. I found that diversity in gynodioecious plants is dependent on population structure. In particular, I found that the maximal level of diversity occurs when the population structure does not favour altruists or cheaters. Next, I found a number of important results in siderophore-producing bacteria. By considering a detailed ecological model, I derived Hamilton's rule in a metapopulation and found that the level of cooperation in a population depends on the length of interaction between strains. Finally, I discovered a novel evolutionary mechanism generating and maintaining diversity and showed that it results from non-equilibrium mechanisms. These findings explain why cheaters appear readily in experiments but are rare in natural populations. My results demonstrate the importance of integrating ecological details in order to understand the mechanisms leading to cooperation and diversity, and will provide a basis and framework for future studies on the emergence and maintenance of diversity
English-language theories of financial reporting
No full textThe chapter provides a historical overview of the principal theories of financial reporting in the English language. Early attempts to generalise from practice were supplemented with applications of economic theory, as well as ideas drawn from mathematics, systems theory, organisation theory, human behaviour and other disciplines to develop theories that attempted to improve current financial reporting practice. This has culminated in the development of conceptual frameworks for financial reporting. From the late 1960s, attempts have been developed to explain and predict accounting practice, and the impact of financial reporting information on the behaviour of investors and others
Research utilisation or knowledge mobilisation by health managers: Synthesising evidence and theory using perspectives of organisational form, resource based view of the firm and critical theory
No full textThe literature review builds on an earlier Scoping Review of the literature on knowledge mobilization (Crilly et al, 2010; Ferlie at al, 2012) which identified a gap in the healthcare literature and proposed work in three defined areas or domains. The first is Resource Based View of the Firm, a strategic management concept that examines how differences in capabilities, including knowledge, allow one firm to outperform another. There is no equivalent in healthcare. It states that strategic resources that are valuable, rare, difficult to imitate, and able to be exploited by organizational processes (VRIO principles), will give the firm a sustainable competitive advantage. The second is termed the Critical Perspective, concerned with power and authority in the workplace, which is alive to tensions between occupational groups such as doctors and managers. Two strands of particular interest are Foucauldian and neo-Marxist labour process critical theories. The third area is organizational form, which considers whether certain types of organization, such as networks, are better than others at mobilizing knowledge
English-language theories of financial reporting
No full textThe chapter provides a historical overview of the principal theories of financial reporting in the English language. Early attempts to generalise from practice were supplemented with applications of economic theory, as well as ideas drawn from mathematics, systems theory, organisation theory, human behaviour and other disciplines to develop theories that attempted to improve current financial reporting practice. This has culminated in the development of conceptual frameworks for financial reporting. From the late 1960s, attempts have been developed to explain and predict accounting practice, and the impact of financial reporting information on the behaviour of investors and others
Repopulating the Emptiness: A Spatial Critique of Ruination in Israel/Palestine
No full textThis article critically examines the notions of spatial emptiness and ruination through their unsettled appearance in the archive of colonization. Focusing on the history of Zionist colonization of Palestine/Eretz Israel, it illustrates how the encounter with the land fractures the ideological construct of emptiness and foregrounds the ambiguities found at the heart of the self-assured discourse of Zionism. Though there is an established corpus of scholarship that deconstructs the colonial fallacy of ‘the empty land’, the actuality and materiality of emptying processes and acts of ruination remains on the margins of this critical effort. Through a re-reading of key Zionist texts from different historical moments, the analysis sheds light on the contradictions and ambiguities that lie at the heart of the Zionist territorial project and the inherent weaknesses of the hegemonic production of space
"Presences of the Infinite": J.M. Coetzee and Mathematics
No full textThis thesis articulates the resonances between J. M. Coetzee's lifelong engagement with mathematics and his practice as a novelist, critic, and poet. Though the critical discourse surrounding Coetzee's literary work continues to flourish, and though the basic details of his background in mathematics are now widely acknowledged, his inheritance from that background has not yet been the subject of a comprehensive and mathematically- literate account. In providing such an account, I propose that these two strands of his intellectual trajectory not only developed in parallel, but together engendered several of the characteristic qualities of his finest work. The structure of the thesis is essentially thematic, but is also broadly chronological. Chapter 1 focuses on Coetzee's poetry, charting the increasing involvement of mathematical concepts and methods in his practice and poetics between 1958 and 1979. Chapter 2 situates his master's thesis alongside archival materials from the early stages of his academic career, and thus traces the development of his philosophical interest in the migration of quantificatory metaphors into other conceptual domains. Concentrating on his doctoral thesis and a series of contemporaneous reviews, essays, and lecture notes, Chapter 3 details the calculated ambivalence with which he therein articulates, adopts, and challenges various statistical methods designed to disclose objective truth. Chapter 4 explores the thematisation of several mathematical concepts in Dusklands and In the Heart of the Country. Chapter Five considers Waiting for the Barbarians and Foe in the context provided by Coetzee's interest in the attempts of Isaac Newton to bridge the gap between natural language and the supposedly transparent language of mathematics. Finally, Chapter 6 locates in Elizabeth Costello and Diary of a Bad Year a cognitive approach to the use of mathematical concepts in ethics, politics, and aesthetics, and, by analogy, a central aspect of the challenge Coetzee's late fiction poses to the contemporary literary landscape
A Penrose polynomial for embedded graphs
No full textWe extend the Penrose polynomial, originally defined only for plane graphs, to graphs embedded in arbitrary surfaces. Considering this Penrose polynomial of embedded graphs leads to new identities and relations for the Penrose polynomial which can not be realized within the class of plane graphs. In particular, by exploiting connections with the transition polynomial and the ribbon group action, we find a deletion-contraction-type relation for the Penrose polynomial. We relate the Penrose polynomial of an orientable checkerboard colourable graph to the circuit partition polynomial of its medial graph and use this to find new combinatorial interpretations of the Penrose polynomial. We also show that the Penrose polynomial of a plane graph G can be expressed as a sum of chromatic polynomials of twisted duals of G. This allows us to obtain a new reformulation of the Four Colour Theorem
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