Fascinating and well-documented in its details of cultural migration and evolution, this book offers a well-balanced perspective on the mutual influence of Arabic and Western worlds during the Middle Ages. It traces the transmission of Greek philosophy and science to the Islamic world, forming a portrait of medieval Muslim thought that illustrates its commonalities with Judaic and Christian teachings as well as its points of divergence. He shows how a particular type of Hellenistic culture made its way through the Syrian (...) Church, the Zoroastrians of Persia, and the pagans of Harran to the Islamic community, attaining its final metamorphosis in northeast Italy, where it constituted an anti-ecclesiastical influence that helped to pave the way for the Renaissance. Bibliography. Chronological Table. Index. (shrink)

Lüders and Pauli proved the $\mathcal{CPT}$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on “axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $\mathcal{CPT}$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the $\mathcal{CPT}$ transform of any relativistic field (...) without calculating $\mathcal{C}$ , $\mathcal{P}$ and $\mathcal{T}$ separately and then multiplying them. The purpose of this pedagogical paper is to “deaxiomatize” the $\mathcal{CPT}$ theorem by explaining it in a few simple steps. We use theorems of distribution theory and of several complex variables without proof to make the exposition elementary. (shrink)

This paper studies the model of the quantum electrodynamics (QED) of a single nonrelativistic electron due to W. Pauli and M. Fierz and studied further by P. Blanchard. This model exhibits infrared divergence in a very simple context. The infrared divergence is associated with the inequivalence of the Hilbert spaces associated with the free Hamiltonian and with the complete Hamiltonian. Infrared divergences that are visible in the perturbative description disappear in the space of the clothed electrons. In this model when (...) the Hamiltonian is expressed in terms of the “physical” fields that create the electron together with its cloud of soft photons, the variational principle suggested earlier can be applied. At finite time the Heisenberg field of the model acts in the space of the perturbative electron together with a finite number of perturbative photons, while the “physical” field can be chosen to act in the space of the exact (“physical”) electron eigenstates together with a finite number of physical photons. The space of the physical (or clothed) electron states can be chosen to be a Fock space. (shrink)

Quons are particles characterized by the parameter q, which permits smooth interpolation between Bose and Fermi statistics; q = 1 gives bosons, q = -1 gives fermions. In this paper we give a heuristic argument for an extension of conservation of statistics to quons with trilinear couplings of the form ffb, where f is fermion-like and b is boson-like. We show that q f 2 = qb. In particular, we relate the bound on qγ for photons to the bound on (...) qe for electrons, allowing the very precise bound for electrons to be carried over to photons. An extension of this argument suggests that all particles are fermions or bosons to a high precision. (shrink)

A Christian approach to the issues that constitute bioethics is inevitable for us who cherish the truth of historic, creedal, trinitarian Christianity. Scripture teaches and the Greek and Latin Church Fathers as well as the Reformers aver that man, created in the image of God, has an inherent, if vestigial, sense of right and wrong and a conscience however marred by the fall and by rebellion. We must believe that we share this most basic ecumenism with all humanity, not because (...) of rational observation and analysis of nature, but because Scripture reveals it. We who are convinced of the truth of historic, creedal, trinitarian Christianity have a high view of Scripture and hold it to be infallible and utterly trustworthy irrespective of the importance we assign to our specific post-biblical traditional distinctives. This is a narrower but much more vital ecumenism than the first. Faithful adherence to Scripture inevitably manifests itself in remarkably similar priorities and values, often, lamentably, not because of, but in spite of, ourselves. (shrink)

Clinical populations sometimes demonstrate difficulties forgetting stimuli related to their trauma-related disorder, perhaps because their intense personal connection to these stimuli produce deficits in the inhibitory control abilities necessary for forgetting. The present work examined this possibility for people who have high levels of traits implicated in borderline personality disorder (BPD). In two well-powered studies, we found no evidence for deficits in forgetting specific to BPD traits, even for people with clinically significant levels of the traits, contrary to previous studies. (...) The present experiments updated the designs from earlier experiments to employ the most contemporary methods to examine directed forgetting recommended by recent reviews. With these improved methods, Study 1 found that participants showed significant directed forgetting for BPD-related words independent of their level of BPD traits, perhaps because the BPD-related words were so strongly associated with one another. Study 2 found that when we removed the strong relatedness between the stimuli, forgetting of BPD-relevant words was significant and did not interact with BPD symptomology. We concluded that in contrast to people with PTSD who show specific inhibitory deficits for trauma-related works, people with BPD show normal, intact inhibitory control even for words that they should find threatening. (shrink)

The present study tested the hypothesis that centrality of religiosity as defined as the position of an individual’s religious construct system in personality moderates the relationship between the experience of forgiveness by God and forgivingness for others. Participants completed measures of forgiveness by God, forgivingness, and centrality of religiosity. The moderating hypothesis was tested by treating centrality of religiosity both as a continuous variable and as a categorical variable with reference to a typological distinction. Results indicate that centrality of religiosity (...) moderates the positive relationship between forgiveness by God and forgivingness for others, implying that this relation only occurs if the religious construct system is in a central position in personality, but not if it is in a subordinate position. These results underline the importance of considering centrality of religiosity as an individual difference variable. (shrink)

Fascinating and well-documented in its details of cultural migration and evolution, this book offers a well-balanced perspective on the mutual influence of Arabic and Western worlds during the Middle Ages. It traces the transmission of Greek philosophy and science to the Islamic world, forming a portrait of medieval Muslim thought that illustrates its commonalities with Judaic and Christian teachings as well as its points of divergence. He shows how a particular type of Hellenistic culture made its way through the Syrian (...) Church, the Zoroastrians of Persia, and the pagans of Harran to the Islamic community, attaining its final metamorphosis in northeast Italy, where it constituted an anti-ecclesiastical influence that helped to pave the way for the Renaissance. Bibliography. Chronological Table. Index. (shrink)