Recently, a class of $\mathcal{P}\mathcal{T}$ -invariant scalar quantum field theories described by the non-Hermitian Lagrangian $\mathcal{L}$ = $ \frac{1}{2} $ (∂ϕ) 2 +gϕ 2 (iϕ)ε was studied. It was found that there are two regions of ε. For ε<0 the $\mathcal{P}\mathcal{T}$ -invariance of the Lagrangian is spontaneously broken, and as a consequence, all but the lowest-lying energy levels are complex. For ε≥0 the $\mathcal{P}\mathcal{T}$ -invariance of the Lagrangian is unbroken, and the entire energy spectrum is real and positive. The subtle (...) transition at ε=0 is not well understood. In this paper we initiate an investigation of this transition by carrying out a detailed numerical study of the effective potential V eff (ϕc) in zero-dimensional spacetime. Although this numerical work reveals some differences between the ε<0 and the ε>0 regimes, we cannot yet see convincing evidence of the transition at ε=0 in the structure of the effective potential for $\mathcal{P}\mathcal{T}$ -symmetric quantum field theories. (shrink)

Psalm 73 is a challenging Psalm in which the Psalmist draws on rich imagery to juxtapose doctrine and experience and to juxtapose the goodness of God with divine retribution. Drawing on data provided by 15 theological educators within the Anglican Diocese of Cyprus and the Gulf, this study tests the thesis that the imagery of Psalm 73 will be perceived differently by sensing types and by intuitive types and that the issue ‘Is God really good to the upright?’ will be (...) judged differently by feeling types and by thinking types. The findings from this study are consistent with the broader hermeneutical theory that the psychological type profile of the reader, in terms of perceiving preference and judging preference, plays a formative part in shaping the interpretation of biblical material.Contribution: Situated within the reader-perspective approach to biblical hermeneutics, the SIFT method is concerned with identifying the influence of the psychological type of the reader in shaping the interpretation of text. The present study demonstrates that this theory holds true for the way in which theological educators read Psalm 73. (shrink)

Metabolic pathways underlying brain function remain largely unexplored during neurodevelopment, predominantly due to the lack of feasible techniques for use with awake infants. Broadband near-infrared spectroscopy provides the opportunity to explore the relationship between cerebral energy metabolism and blood oxygenation/haemodynamics through the measurement of changes in the oxidation state of mitochondrial respiratory chain enzyme cytochrome-c-oxidase alongside haemodynamic changes. We used a bNIRS system to measure ΔoxCCO and haemodynamics during functional activation in a group of 42 typically developing infants aged between (...) 4 and 7 months. bNIRS measurements were made over the right hemisphere over temporal, parietal and central cortical regions, in response to social and non-social visual and auditory stimuli. Both ΔoxCCO and Δ[HbO2] displayed larger activation for the social condition in comparison to the non-social condition. Integration of haemodynamic and metabolic signals revealed networks of stimulus-selective cortical regions that were not apparent from analysis of the individual bNIRS signals. These results provide the first spatially resolved measures of cerebral metabolic activity alongside haemodynamics during functional activation in infants. Measuring synchronised changes in metabolism and haemodynamics have the potential for uncovering the development of cortical specialisation in early infancy. (shrink)

This article contests the argument that British political thought in the 19th century was exceptional in European perspective in lacking a strong concept of nationhood and nationality. On the one hand it argues, with reference to Mazzini, Michelet and Renan, that continental European theories of nationality were by no means as dependent on a strong concept of race as a focus on Germany might imply. On the other hand, it identifies the Liberal Anglican tradition (Thomas and Matthew Arnold, F.D. Maurice, (...) Arnold Toynbee) as a current of thought which generated an important but certainly non-racial concept of nationhood, as part of a general rehabilitation of community in the face of what these thinkers took to be utilitarian neglect. (shrink)

Hypotheticals, conditionals, and their connecting relation, implication, dramatically changed their meanings during the nineteenth and early part of the twentieth century. Modern logicians ordinarily do not distinguish between the terms hypothetical and conditional. Yet in the late nineteenth century their meanings were quite different, their ties to the implication relation either were unclear, or the implication relation was used exclusively as a logical operator. I will trace the development of implication as an inference operator from these earlier notions into the (...) first third of the twentieth century using as the starting point the ideas primarily of R. Whately and W. Hamilton before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Then we discuss the relevant views of four prominent but relatively unknown nineteenth century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on ‘implication as inference’ where we explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas related to the subjects of this paper. (shrink)

In describing the flawless regularity of developmental processes and the correlation between changes at certain genetic loci and changes in morphology, biologists frequently employ two metaphors: that genes ‘control’ development, and that genomes embody ‘programs’ for development. Although these metaphors have an admirable sharpness and punch, they lead, when taken literally, to highly distorted pictures of developmental processes. A more balanced, and useful, view of the role of genes in development is that they act as suppliers of the material needs (...) of development and, in some instances, as context‐dependent catalysts of cellular changes, rather than as ‘controllers’ of developmental progress and direction. The consequences of adopting this alternative view of development are discussed. (shrink)

The foundations of a theory of nonminimal coupling of matter and the gravitational field in the framework of Riemannian (or Riemann-Cartan) geometry are presented. In the absence of matter, the Einstein vacuum field equations hold. In order to allow for a Newtonian limit, the theory contains a new parameter l0 of dimension length. For systems with finite total mass, l0 is set equal to the Schwarzschild radius.

This book is intended for the use of the candid student, devised as a monitory preparation for deeper study of the philosophy of Spinoza. By its means it is hoped that the student may avoid the chief pitfalls of Spinoza-interpretation, and be carried past many of the difficulties encountered by the modern mind in the study of his writings. To this end perhaps the greatest hindrance to be met by the beginner is the ‘popular' exposition that attempts to expound the (...) thought of one age in terms of the favoured categories of another. By providing the necessary safeguards against misinterpretations arising from such causes, the author has sought to awaken interest in the closely knit fabric of Spinoza's doctrine of man and nature and God, and its practical import - and thus to revivify a specimen too long deprived of its native air. (shrink)

The literature on corporate responsibility contains a wide range of arguments for business sector involvement in matters of social and political community. Some writers argue for extensive involvement, while others draw relatively narrow boundaries around the appropriate sphere of a company's nonbusiness activity. One way to classify and clarify these various views is to examine each in light of the notion of business-society relationship which underlies it. Four ways of understanding the business-society relationship are articulated here, together with the arguments (...) for corporate responsibility that emerge from them. (shrink)

This book is intended for the use of the candid student, devised as a monitory preparation for deeper study of the philosophy of Spinoza. By its means it is hoped that the student may avoid the chief pitfalls of Spinoza-interpretation, and be carried past many of the difficulties encountered by the modern mind in the study of his writings. To this end perhaps the greatest hindrance to be met by the beginner is the 'popular' exposition that attempts to expound the (...) thought of one age in terms of the favoured categories of another. By providing the necessary safeguards against misinterpretations arising from such causes, the author has sought to awaken interest in the closely knit fabric of Spinoza's doctrine of man and nature and God, and its practical import - and thus to revivify a specimen too long deprived of its native air. (shrink)