Investigations on asymptotic safety of metric, tetrad and Einstein-Cartan gravity

Among the different approaches for a construction of a fundamental quantum theory of gravity the Asymptotic Safety scenario conjectures that quantum gravity can be defined within the framework of conventional quantum field theory, but only non-perturbatively. In this case its high energy behavior is controlled by a non-Gaussian fixed point of the renormalization group flow, such that its infinite cutoff limit can be taken in a well defined way. A theory of this kind is referred to as non-perturbatively renormalizable. In the last decade a considerable amount of evidence has been collected that in four dimensional metric gravity such a fixed point, suitable for the Asymptotic Safety construction, indeed exists. This thesis extends the Asymptotic Safety program of quantum gravity by three independent studies that differ in the fundamental field variables the investigated quantum theory is based on, but all exhibit a gauge group of equivalent semi-direct product structure. It allows for the first time for a direct comparison of three asymptotically safe theories of gravity constructed from different field variables. The first study investigates metric gravity coupled to SU(N) Yang-Mills theory. In particular the gravitational effects to the running of the gauge coupling are analyzed and its implications for QED and the Standard Model are discussed. The second analysis amounts to the first investigation on an asymptotically safe theory of gravity in a pure tetrad formulation. Its renormalization group flow is compared to the corresponding approximation of the metric theory and the influence of its enlarged gauge group on the UV behavior of the theory is analyzed. The third study explores Asymptotic Safety of gravity in the Einstein-Cartan setting. Here, besides the tetrad, the spin connection is considered a second fundamental field. The larger number of independent field components and the enlarged gauge group render any RG analysis of this system much more difficult than the analog metric analysis. In order to reduce the complexity of this task a novel functional renormalization group equation is proposed, that allows for an evaluation of the flow in a purely algebraic manner. As a first example of its suitability it is applied to a three dimensional truncation of the form of the Holst action, with the Newton constant, the cosmological constant and the Immirzi parameter as its running couplings. A detailed comparison of the resulting renormalization group flow to a previous study of the same system demonstrates the reliability of the new equation and suggests its use for future studies of extended truncations in this framework.

Közjó és demokrácia. Két közgazdaságtani elmélet a demokráciáról (Common good and democracy. Two economic theories of democracy)

A tanulmány a demokrácia két közgazdaságtani elméletét mutatja be. A demokrácia klasszikus elmélete a közjó fogalmára épült: a klasszikus politikai filozófia érvelése szerint a demokrácia intézménye a közjó megvalósulásának eszköze. Schumpeter bírálta a klasszikus elméletet: a közgazdasági szemléletet alkalmazva a közjó értelmezésére leválasztotta a demokráciáról a közjó fogalmát. Schumpeter szerint a demokrácia szubsztantív felfogása nem tartható, ezért ehelyett a demokrácia procedurális értelmezését kínálta fel. Az alkotmányos közgazdaságtan nem fogadja el sem a közjó és demokrácia fogalmainak elválasztását, sem a közjó szubsztantív értelmezését, ehelyett a közjónak és a demokráciának egyaránt procedurális értelmezését javasolja. _____ This essay deals with two economic theories of democracy. The classical doctrine of democracy was built on the concept of the common good, classical political philosophy arguing that the institution of democracy was the instrument for realizing the common good. This theory was criticized by Schumpeter, who applied the method of modern economics to analysis of the concept, which he separated from democracy, arguing that the substantive concept of democracy was untenable, and proposing to replace it with the procedural concept of democracy. Constitutional economics does not accept such separation of the concepts of democracy and the common good, but it does not accept the substantive interpretation of the common good either. Rather, it proposes a procedural concept of both the common good and of democracy.

Theories of Mathematics Education : Seeking New Frontiers

This inaugural book in the new series Advances in Mathematics Education is the most up to date, comprehensive and avant garde treatment of Theories of Mathematics Education which use two highly acclaimed ZDM special issues on theories of mathematics education (issue 6/2005 and issue 1/2006), as a point of departure. Historically grounded in the Theories of Mathematics Education (TME group) revived by the book editors at the 29th Annual PME meeting in Melbourne and using the unique style of preface-chapter-commentary, this volume consist of contributions from leading thinkers in mathematics education who have worked on theory building. This book is as much summative and synthetic as well as forward-looking by highlighting theories from psychology, philosophy and social sciences that continue to influence theory building. In addition a significant portion of the book includes newer developments in areas within mathematics education such as complexity theory, neurosciences, modeling, critical theory, feminist theory, social justice theory and networking theories. The 19 parts, 17 prefaces and 23 commentaries synergize the efforts of over 50 contributing authors scattered across the globe that are active in the ongoing work on theory development in mathematics education.

The theories of reasoned action and planned behaviour applied to business decision : a selective annotated bibliography

Purpose: This paper provides a selective annotated bibliography that summarises journal articles which have employed either the theory of reasoned action or the theory of planned behaviour to circumstances which are relevant to business activities. Design/methodology/approach: Searches were conducted on the EBSCO Host and ProQuest databases to identify papers that had used either the theory of reasoned action or theory of planned behaviour in their methodology. The bibliography was separated into three categories- financial decision making, strategic decision making, and professional decision making. Implications: The information presented in this paper is intended to assist and facilitate further research by broadening the awareness of the literature and providing examples of the application of the theory as it has been employed in prior research.

Theories of learning mathematics

According to Karl Popper, widely regarded as one of the greatest philosophers of science in the 20th century, falsifiability is the primary characteristic that distinguishes scientific theories from ideologies – or dogma. For example, for people who argue that schools should treat creationism as a scientific theory, comparable to modern theories of evolution, advocates of creationism would need to become engaged in the generation of falsifiable hypothesis, and would need to abandon the practice of discouraging questioning and inquiry. Ironically, scientific theories themselves are accepted or rejected based on a principle that might be called survival of the fittest. So, for healthy theories on development to occur, four Darwinian functions should function: (a) variation – avoid orthodoxy and encourage divergent thinking, (b) selection – submit all assumptions and innovations to rigorous testing, (c) diffusion – encourage the shareability of new and/or viable ways of thinking, and (d) accumulation – encourage the reuseability of viable aspects of productive innovations.

Six theories of Neoliberalism

This paper takes as its starting point the observation that neoliberalism is a concept that is ‘oft-invoked but ill-defined’ (Mudge 2008: 703). It provides a taxonomy of uses of the term neoliberalism to include: (1) an all-purpose denunciatory category; (2) ‘the way things are’; (3) a particular institutional framework characterizing Anglo-American forms of national capitalism; (4) a dominant ideology of global capitalism; (5) a form of governmentality and hegemony; and (6) a variant within the broad framework of liberalism as both theory and policy discourse. It is argued that this sprawling set of definitions are not mutually compatible, and that uses of the term need to be dramatically narrowed from its current association with anything and everything that a particular author may find objectionable. In particular, it is argued that the uses of the term by Michel Foucault in his 1978-79 lectures, found in The Birth of Biopolitics (Foucault, 2008) are not particularly compatible with its more recent status as a variant of dominant ideology or hegemony theories.

Lay theories of anorexia nervosa : a discourse analytic study

Previous studies on lay theories of anorexia nervosa have examined the 'accuracy' of lay knowledge, and the identification of factors by family and friends that would encourage early interventions. In contrast to these approaches, we examine lay theories of anorexia nervosa using a critical psychology perspective. We argue that the use of a discourse analysis methodology enables the examination of the construction of lay theories through dominant concepts and ideas. Ten semi-structured interviews with five women and five men aged between 15 and 25 years were carried out. Participants were asked questions about three main aspects of anorexia nervosa: aetiology, treatment and relationship to gender. Each interview was analysed in terms of the structure, function and variability of discourse. Three discourses: sociocultural, individual and femininity, are discussed in relation to the interview questions. We conclude that, in this study, lay theories of anorexia nervosa were structured through key discourses that maintained a separation between sociocultural aspects of anorexia nervosa and individual psychology. This separation exists in dominant psychomedical conceptualizations of anorexia nervosa, reinforcing the concept that it is a form of psychopathology.

“Lay” theories of anorexia nervosa : a discourse analytic study

Previous studies on lay theories of anorexia nervosa have examined the ‘accuracy’ of lay knowledge, and the identification of factors by family and friends that would encourage early interventions (Huon, Brown, & Morris, 1988, 7, 239–252; Murray, Touyz, & Beumont, 1990, 9, 87–93). In contrast to these approaches, we examine lay theories of anorexia nervosa using a critical psychology perspective. We argue that the use of a discourse analysis methodology enables the examination of the construction of lay theories through dominant concepts and ideas. Ten semi-structured interviews with five women and five men aged between 15 and 25 years were carried out. Participants were asked questions about three main aspects of anorexia nervosa: aetiology, treatment and relationship to gender. Each interview was analysed in terms of the structure, function and variability of discourse. Three discourses: sociocultural, individual and femininity, are discussed in relation to the interview questions. We conclude that, in this study, lay theories of anorexia nervosa were structured through key discourses that maintained a separation between sociocultural aspects of anorexia nervosa and individual psychology. This separation exists in dominant psychomedical conceptualizations of anorexia nervosa, reinforcing the concept that it is a form of psychopathology.

Six theories of neoliberalism

This article takes as its starting point the observation that neoliberalism is a concept that is ‘oft-invoked but ill-defined’. It provides a taxonomy of uses of the term neoliberalism to include: (1) an all-purpose denunciatory category; (2) ‘the way things are’; (3) an institutional framework characterizing particular forms of national capitalism, most notably the Anglo-American ones; (4) a dominant ideology of global capitalism; (5) a form of governmentality and hegemony; and (6) a variant within the broad framework of liberalism as both theory and policy discourse. It is argued that this sprawling set of definitions are not mutually compatible, and that uses of the term need to be dramatically narrowed from its current association with anything and everything that a particular author may find objectionable. In particular, it is argued that the uses of the term by Michel Foucault in his 1978–9 lectures, found in The Birth of Biopolitics, are not particularly compatible with its more recent status as a variant of dominant ideology or hegemony theories. It instead proposes understanding neoliberalism in terms of historical institutionalism, with Foucault’s account of historical change complementing MaxWeber’s work identifying the distinctive economic sociology of national capitalisms.