We show that a computable function $f:\mathbb R\rightarrow \mathbb R$ has Luzin’s property if and only if it reflects $\Pi ^1_1$ -randomness, if and only if it reflects $\Delta ^1_1$ -randomness, and if and only if it reflects ${\mathcal {O}}$ -Kurtz randomness, but reflecting Martin–Löf randomness or weak-2-randomness does not suffice. Here a function f is said to reflect a randomness notion R if whenever $f$ is R-random, then x is R-random as well. If additionally f is known to have (...) bounded variation, then we show f has Luzin’s if and only if it reflects weak-2-randomness, and if and only if it reflects $\emptyset '$ -Kurtz randomness. This links classical real analysis with algorithmic randomness. (shrink)

We show that a computable function $f:\mathbb R\rightarrow \mathbb R$ has Luzin’s property if and only if it reflects $\Pi ^1_1$ -randomness, if and only if it reflects $\Delta ^1_1$ -randomness, and if and only if it reflects ${\mathcal {O}}$ -Kurtz randomness, but reflecting Martin–Löf randomness or weak-2-randomness does not suffice. Here a function f is said to reflect a randomness notion R if whenever $f$ is R-random, then x is R-random as well. If additionally f is known to have (...) bounded variation, then we show f has Luzin’s if and only if it reflects weak-2-randomness, and if and only if it reflects $\emptyset '$ -Kurtz randomness. This links classical real analysis with algorithmic randomness. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS The Logic of God Incarnate. By THOMAS V. MORRIS. Ithaca: Cornell University Press, 1986. Pp. 220. $19.95. Thomas V. Morris, Assistant Professor of Philosophy at the University of Notre Dame, has written a technical yet provocative study on the Incarnation. As a faithful Christian he believes in and desires to defend the traditional Christian doctrine of the Incarnation proclaimed in the New Testament and defined by the (...) early councils of the Church, especially Chalcedon, that is, that Jesus is the One eternal Son existing in two natures. He also holds that, while the truth of the Incarnation is revealed, it must nonetheless stand the test of logic and reason. The Incarnation cannot be illogicaJ or meaningless. " If the church has been guided by God in such matters as the formulation of its creeds, conciliar decrees, and catechisms,.... we would not expect glaring logical flaws in its central doctrinal affirmations" (p. 46). The stated purpose of Morris's study is to defend the traditional doctrine against those who would hold it to be logically incoherent and meaningless. "In the course of thinking about the Incarnation for some years now, I have come to see that a few simple metaphysical distinctions and a solid dose of logical care will suffice to explicate and defend the doctrine against all extant criticisms of a philosophical nature" (p. 9). Morris meticulously analyzes and critiques a number of arguments that oppose the possibility of coherence of the Incarnation by attempting to demonstrate that such arguments are.either false and illogical themselves, or that they do not apply to a true understanding of the Incarnation. Moreover, Morris proposes a novel understanding of the Incarnation which he believes is both logical and intelligible, and which conforms to the Christian tradition. This goal of upholding the intelligibility of the Incarnate leads Morris to a three-fold task. He first of all must refute his chief adversaries, those who would deny the sensibleness of saying God became man in Jesus. Such critics deny the validity of the Incarnation on the ground..'! that it is meaning·less, and the'l'efore impossible to juxtapose the incommensurable. attributes of divinity and humanity, e.g., perfection/imperfection, immutability/corruptibility. They hold that Jesus could not have had both these sets of properties at once (cf. p. 20). Morris refuses to capitulate to such arguments. He nevertheless insists that any solution to the issue which would undermine human logic or which would fail to uphold the Christian's belief is no solution at all (cf. p. 32). 367 368 BOOK REVIEWS Secondly, Morris's task leads him to refute any attempts at a " OneNature " solution, which would "squash" together the human and divine natures in Jesus to form a single nature. Such proposals jeopardize either the integrity of Jesus's divinity (Arianism) or his humanity (Docetism, Monophysitism), inevitably composing a mythical tertium quid (cf. pp. 33-38). Morris presents a clear case against such corruptions of the Incarnation. Thirdly, Morris's task brings him to analyze contemporary kenotic Christology. He thoroughly discusses this approach, for the reason that it is directly involved in the issue at hand, namely, the incompatibility between divine and human properties in Christ. Secondarily, however, Morris's interest in kenoticism reflects his own hope that some variation of the approach might posibly arrive at a Christological solution (cf. p. 92). While he ultimately rejects kenoticism, Morris flirts with the various alternatives, and, as we shall see, his own perception of the Incarnation remains tinged with a kenotic flavor. How then is it possible to predicate of one and the same individual divine and human attributes intelligibly and coherentlyT To use contemporary computer jargon, the question might be phrased: is it possible that God and man can he "incarnation-friendly¥" Morris believes so. Morris first of all sets out to define the terms-divine nature and human nature. He believes part of the incompatibility problem lies in attributing to Jesus's humanity unnecessarily hostile aspects. He distinguishes between being "merely human" and being "fully human"· To be " merely human " is to possess not only those properties that narrowly define one's nature or kind, such as rationality, but... (shrink)

Local food systems can have economic and social benefits by providing income for producers and improving community connections. Ongoing global climate change and the acute COVID-19 pandemic crisis have shown the importance of building equity and resilience in local food systems. We interviewed ten stakeholders from organizations and institutions in a U.S. midwestern city exploring views on past, current, and future conditions to address the following two objectives: 1) Assess how local food system equity and resilience were impacted by the (...) COVID-19 pandemic, and 2) Examine how policy and behavior changes could support greater equity and resilience within urban local food systems. We used the Community Capitals Framework to organize interviewees’ responses for qualitative analyses of equity and resilience. Four types of community capital were emphasized by stakeholders: cultural and social, natural, and political capital. Participants stated that the local food system in this city is small; more weaknesses in food access, land access, and governance were described than were strengths in both pre- and post-pandemic conditions. Stakeholder responses also reflected lack of equity and resilience in the local food system, which was most pronounced for cultural and social, natural and political capitals. However, local producers’ resilience during the pandemic, which we categorized as human capital, was a notable strength. An improved future food system could incorporate changes in infrastructure (e.g., food processing), markets (e.g., values-based markets) and cultural values (e.g., valuing local food through connections between local producers and consumers). These insights could inform policy and enhance community initiatives and behavior changes to build more equitable and resilient local food systems in urban areas throughout the U.S. Midwest. (shrink)

Western societies today are coming unmoored in the face of an earth-shaking ethical and cultural paradigm shift. At its core is the question of what it means to be human and how we are meant to live. The old answers are no longer accepted; a dizzying array of options are offered in their stead. Underpinning this smorgasbord of lifestyles is a thicket of unquestioned assumptions, such as the separation of gender from biological sex, which not so long ago would have (...) been universally rejected as radical notions. In the spring of 2019, a group of Orthodox Christian scholars drawn from a wide variety of academic disciplines met together to offer responses to the moral crisis our generation faces, elaborating upon its various forms and facilitating a fuller understanding of some of its theological and philosophical foundations. In doing so they offer support to all those who question the claims that are so forcefully insisted upon today--a clarity that will aid them in standing up and resisting trends that have already shown to be the cause of great suffering and unhappiness. (shrink)

My apology for reverting to this subject is a recent article by Mr. W. C. F. Walters in the April number of the Classical Quarterly for 1910 on the signatures in the Vatican Codex . Mr. Walters does not seem to have been aware that this manuscript, though not of direct value in the constitution of the text of Livy, is one whose interest from a palaeographical point of view has long been recognized. A number of articles have been written (...) concerning it, most of which deal with the signatures, the subject of Mr. Walters' paper, more fully and more accurately than he has done. Beyond giving the signatures, two of them incorrectly, Walters does nothing more than to conclude that there were eight scribes, who copied 42 quaternions. But a great deal more than this is known about the scribes and the manuscript. In fact, thanks to the ingenious combinations of Chatelain and Traube in piecing together the hints suggested by the signatures, more is known about this particular manuscript and the circumstances under which it was made than is the case with any other manuscript of a classical author of so early a date. It may therefore be worth while to summarize the known data concerning the manuscript, with a brief account of how they were worked out, referring the reader for the details to the articles mentioned in the footnotes. (shrink)

This research article aims to deliver an analytical representation of the intellectual environment of the culture journal Die Kreatur (1926–1930), a religious-dialogical quarterly edited by Martin Buber, Joseph Wittig, and Viktor von Weizsäcker and enlivened by some of the most prominent figures of German-Jewish interwar culture (among others W. Benjamin, H. S. Bergman, E. Rosenstock-Huessy, F. Rosenzweig, E. Simon, and L. Strauss). Building on a recognition of the problematic relationship between the dialogical model claimed in the programmatic foreword of (...) the journal and the group narratives enacted by its key contributors, the study attempts to outline the formation process of the intellectual plexus of the journal and to provide a differentiated analysis of its singular constituents via a sociologically informed framework. The representation of the intellectual network of Die Kreatur in accordance with the model of a “circle of circles” provides insight into the elusive dialectic of interaction and divergence that determines the relations between the main actors of the journal and thus contributes to unfold the interplay of biographical intersections and conceptual synergies, as well as incongruities, frictions, and contradictory instances that determines its editorial and philosophical profile. (shrink)

This article aims to offer a fresh analysis of two passages in the extensive necromancy episode in Lucan's Bellum Ciuile: the ritual to reanimate the dead soldier's corpse (6.667–73), and the surgical procedure Erichtho then proceeds to undertake (6.750–7), resembling the practice of a vivisection. The study will focus mostly on the strong connection of magic to medical traditions in antiquity, with a commentary on, and analysis of, these verses through the lenses of medical vocabulary, themes and motifs. It ultimately (...) concludes that Lucan was familiar with the language and characteristics of the medical tradition, enriched his report with them, and was playing with his audience's knowledge of the same. (shrink)

In The Gift of Jesus, beloved pastor and teacher Dr. Charles Stanley takes a deeply personal and inspiring look at how God gave us Himself through the birth of Christ. When He sent Jesus, He closed the separation between us, showing Himself to be intimately involved in every detail that concerns us. This book will usher you into Jesus' presence, reveal His compassionate heart, and help you treasure the best parts of the Advent season. --Amazon.com.

A key philosophical feature of Peter Jackson’s film interpretation of J.R.R. Tolkien’s The Lord of the Rings is its use of fantasy to inspire a “recovery” of the actual or, in other words, a reawakening to the beauty of nature and the many possible ways of living in healthier ecological relation to the world. Though none of these ways is perfectly achieved, this pluralistic view is demonstrated in the various lifeways of Hobbits, Elves, Men, and Ents. All of the positive (...) relationships embodied in the films—to trees, mountains, horses, and vegetable gardens—involve loving care and attention, receiving nourishment and livelihood without instrumentalization, or reducing nature to mere resource. The films also vividly display a variety of ugly and destructive ways of using the land to accrue power and wealth. These noxious ways, specifically because they actively destroy the lands that they use, always need more. They will thus eventually annihilate the beautiful ways of being if they are not actively resisted. Some of those who would rather be tending their own trees, gardens, or horses or even wandering in the wild forests must therefore turn their attention to struggle and resistance instead. This is a struggle full of grief, and at times even verging on despair, but it is marked by the refusal to give up hope. Indeed, what Jackson and Tolkien have to say about hope is as important in responding to the ecological crisis as anything they have to say about nature, inasmuch as they help to remind us that even in our own times, “there is still hope.”. (shrink)

Foundations of Dialectical Psychology is a compilation of the writings of Klaus F. Riegel on dialectical psychology. The book presents chapters discussing such topics as the dialectics of human development; history of dialectical psychology; temporal organization of dialogues; and the analysis of the concept of crisis and its underlying philosophical model and ideology. Psychologists and students will find the book invaluable.

Books Reviewed in this Article: Towards a New Mysticism, Teilhard de Chardin and Eastern Religions. By Ursula King. Zen and the Bible: A Priest's Experience. By J.K. Kadowaki. Buddhism and Christianity, A Preface to Dialogue. By Georg Siegmund. Roman Catholicism: The Search for Relevance. By Bill McSweeney. The Church ‐ Maintained in Truth. By Hans Küng. The Communion of Saints. By Michael Perham. Identity and the Sacred: A Sketch for a New Social‐Scientific Theory of Religion. By Hans Mol. Sacrifice. Edited (...) by M.F.C. Bourdillon and Meyer Fortes. Theists and Atheists: A Typology of Non‐Belief By Thomas Molnar. Myth and Society in Ancient Greece. By Jean‐Pierre Vernant. The Alternative Tradition: Religion and the Rejection of Religion in the Ancient World. By James Thrower. Paulus im ältesten Christentum: Das Bild des Apostels and die Rezeption der paulinischen Theologie in der frühchristlichen Literatur bis Marcion. By Andreas Lindemann. Christ: the Christian Experience in the Modern World. By Edward Schillebeeckx. Interim Report on the Books “Jesus” and “Christ”. By Edward Schillebeeckx. Christologie im Präsens: Kritische Sichtung neuer Entwürfe. By Arno Schilson & Walter Kasper. Disput um Jesus and um Kirche. By Walter Kern. It is Not Lawful For Me To Fight: Early Christian Attitudes Toward War, Violence and the State. By Jean‐Michel Hornus. Byzantium and the Rise of Russia: A Study of Byzantino‐Russian Relations in the Fourteenth Century. By John Meyendorff. Reformation Principle and Practice: Essays in Honour of Arthur Geoffrey Dickens. Edited by Peter Newman Brooks. Adrianus Saravia. By Willem Nijenhuis. Rome and the Counter‐Reformation in Scandinavia, II. By Oskar Garstein. Winstanley the Digger: A Literary Analysis of Radical Ideas in the English Revolution. By T. Wilson Hayes. Perfect Fools. By John Saward. Lord Abbot of the Wilderness: The Life and Times of Bishop Salvado. By George Russo. St Edmund's House: The First Eighty Years. By Garrett Sweeney. Doubt and Religious Commitment: the Role of the Will in Newman's Thought. By M. Jaime Ferreira. The Philosophers: Their Lives and the Nature of Their Thought. By Ben‐Ami Scharfstein. Philosophies and Cultures. By Frederick C. Copleston. The Sceptical Feminist. By Janet Radcliffe Richards. Homosexuality and Ethics. Edited by Edward Batchelor, Jr. (shrink)

Listening to someone from some distance in a crowded room you may experience the following phenomenon: when looking at them speak, you may both hear and see where the source of the sounds is; but when your eyes are turned elsewhere, you may no longer be able to detect exactly where the voice must be coming from. With your eyes again fixed on the speaker, and the movement of her lips a clear sense of the source of the sound will (...) return. This ‘ventriloquist’ effect reflects the ways in which visual cognition can dominate auditory perception. And this phenomenological observation is one what you can verify or disconfirm in your own case just by the slightest reflection on what it is like for you to listen to someone with or without visual contact with them. (shrink)