Business Ethics, the Environment &Responsibility, Volume 32, Issue 4, Page 1452-1469, October 2023.

G. Jäger gave in Arch. Math. Logik Grundlagenforsch. 24 , 49-62, a recursive notation system on a basis of a hierarchy Iαß of α-inaccessible regular ordinals using collapsing functions following W. Buchholz in Ann. Pure Appl. Logic 32 , 195-207. Jäger's system stops, when ordinals α with Iα0 = α enter. This border is now overcome by introducing additional a hierarchy Jαß of weakly inaccessible Mahlo numbers, which is defined similarly to the Jäger hierarchy. An ordinal μ is called Mahlo, (...) if every normal-function f : μ → μ has regular fixpoints. Collapsing is defined for both Mahlo and simply regular ordinals such that for every Mahlo ordinal μ out of the J-hierarchy Ψμα is a regular σ such that Iσ0 = σ. For these regular σ again collapsing functions Ψσ are defined. To get a proper systematical order into the collapsing procedure, a pair of ordinals is associated to σ and α, and the definition of Ψσα is given by recursion on a suitable well-ordering of these pairs. Thus a fairly large system of ordinal notations can be established. It seems rather straightforward, how to extend this setting further. (shrink)

Given its non-invasive nature, there is increasing interest in the use of transcutaneous vagus nerve stimulation across basic, translational and clinical research. Contemporaneously, tVNS can be achieved by stimulating either the auricular branch or the cervical bundle of the vagus nerve, referred to as transcutaneous auricular vagus nerve stimulation and transcutaneous cervical VNS, respectively. In order to advance the field in a systematic manner, studies using these technologies need to adequately report sufficient methodological detail to enable comparison of results between (...) studies, replication of studies, as well as enhancing study participant safety. We systematically reviewed the existing tVNS literature to evaluate current reporting practices. Based on this review, and consensus among participating authors, we propose a set of minimal reporting items to guide future tVNS studies. The suggested items address specific technical aspects of the device and stimulation parameters. We also cover general recommendations including inclusion and exclusion criteria for participants, outcome parameters and the detailed reporting of side effects. Furthermore, we review strategies used to identify the optimal stimulation parameters for a given research setting and summarize ongoing developments in animal research with potential implications for the application of tVNS in humans. Finally, we discuss the potential of tVNS in future research as well as the associated challenges across several disciplines in research and clinical practice. (shrink)

Given its non-invasive nature, there is increasing interest in the use of transcutaneous vagus nerve stimulation across basic, translational and clinical research. Contemporaneously, tVNS can be achieved by stimulating either the auricular branch or the cervical bundle of the vagus nerve, referred to as transcutaneous auricular vagus nerve stimulation and transcutaneous cervical VNS, respectively. In order to advance the field in a systematic manner, studies using these technologies need to adequately report sufficient methodological detail to enable comparison of results between (...) studies, replication of studies, as well as enhancing study participant safety. We systematically reviewed the existing tVNS literature to evaluate current reporting practices. Based on this review, and consensus among participating authors, we propose a set of minimal reporting items to guide future tVNS studies. The suggested items address specific technical aspects of the device and stimulation parameters. We also cover general recommendations including inclusion and exclusion criteria for participants, outcome parameters and the detailed reporting of side effects. Furthermore, we review strategies used to identify the optimal stimulation parameters for a given research setting and summarize ongoing developments in animal research with potential implications for the application of tVNS in humans. Finally, we discuss the potential of tVNS in future research as well as the associated challenges across several disciplines in research and clinical practice. (shrink)

Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories and (...) On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

In the eyes of the philosophical public, F.H. Bradley is recognized primarily for the theories he advanced in Appearance and Reality, which themselves are known, on the whole, only through the writings of Bertrand Russell and G.E. Moore. It has been suggested that the rejection of idealism during the early twentieth century, and the subsequent rise to prominence of analysis, was for Moore and Russell in many respects a rejection of the central ideas in Appearance and Reality. History, we are (...) told, is always written by a conflict’s victors, and surely to this philosophy is no exception. Bradley’s notable fall from prominence, however, has deposited him in the philosophical netherworld, and his metaphysical arguments, when mentioned, are often invoked to show students how they by all means must not conduct their own. That Bradley was an idealist, a monist, an absolutist, and even a mystic are all things everyone seems to know, but I suspect that upon the careful inspection of Bradley’s project, these labels can be shown to supply only misleading half truths, and in some cases, might not stick at all. But let me make clear that in this paper, my concern will not be with what has been said about Bradley. Rather, this is a paper about what Bradley says. (shrink)

In this paper I defend certain features of F. H. Bradley's moral, and to a lesser extent political, philosophy in the wake of recent feminist critiques of ethics. I attempt to establish congeniality with Bradley's ethical and political theory to current discussions in feminist ethics. Not only is Bradley's idealism consistent with feminist ethics, but it is able to meet several standard feminist objections to traditional moral theory. In spite of making sexist comments characteristic of the nineteenth century, Bradley's ethical-political (...) doctrine does not necessarily imply sexism, and is indeed coextensive with much current feminist theory. Before proceeding to this duscussion it is necessary to undertake a brief review of the intellectual origins of, and current state of debate in, feminist ethics. (shrink)

Masked priming experiments occasionally revealed surprising effects: Participants responded slower for congruent compared to incongruent primes. This negative congruency effect was ascribed to inhibition of prime-induced activation [Eimer, M., & Schlaghecken, F. . Response faciliation and inhibition in subliminal priming. Biological Psychology, 64, 7–26.] that sets in if the prime activation is sufficiently strong. The current study tests this assumption by implementing manipulations designed to vary the amount of prime-induced activation in three experiments. In Experiments 1 and 3, NCEs were (...) observed despite reduced prime-induced activation. Experiment 2 revealed no NCE with at least similar prime strength. Thus, the amount of prime activation did not predict whether or not NCEs occurred. The findings are discussed with regard to the inhibition account and the recently proposed account of mask-induced activation [cf. Lleras, A., & Enns, J. T. . Negative compatibility or object updating? A cautionary tale of mask-dependent priming. Journal of Experimental Psychology: General, 133, 475–493; Verleger, R., Jaskowski, P., Aydemir, A., van der Lubbe, R. H. J., & Groen, M. . Qualitative differences between conscious and nonconscious processing? On inverse priming induced by masked arrows. Journal of Experimental Psychology: General, 133, 494–515]. (shrink)

Der Beitrag pr?ft die Frage nach der Verwiesenheit der Philosophie auf eigene Geschichte und wendet sich der geschichtsphilosophischen Antinomie der sog. teleologischen und historischen Sichtweisen. Beiden ist es gemeinsam, dass sie eine vergegenst?ndlichende Vorstellung von Geschichte haben. Die teleologische Sichtweise ist um die geschichtliche Kontinuit?t bem?ht und tendiert dogmatisch dazu, die einzige Wahrheit des geschichtlichen Geschehens zu sein. Die historische Position ist eine relativistische Sichtweise und ist bestrebt, die geschichtlichen Besonderheiten hervorzuheben. Beide Positionen schreiben dem Gegenstand?Geschichte? blo? unterschiedliche Charakteristiken zu. (...) Hier wird die These vertreten, dass das Verstehen etwa einer philosophischen Schrift als das Verstehen des offenen Kontextes, in dem ein Interpretant steht, begriffen werden soll. Die Geschichte ist Produkt unserer Welt, nicht umgekehrt. Der Situationismus der so verstandenen radikalen Hermeneutik ist aber nicht relativistisch. Die Interpretationen haben ihre G?ltigkeit, nur insofern sie die Situation des Interpreten betreffen, d. h. insofern sie als Antworten auf bestimmte Fragen verstanden werden. Dem entspricht am ehesten eine genealogische Betrachtungsweise, die sich f?r die Herkunft der geschichtlichen Ph?nomene interessiert. nema. (shrink)

For f: On → On let supp: = ξ: 0, and let S := {f : On → On : supp finite}. For f,g ϵ S definef ≤ g : ↔ [h one-to-one ⁁ f ≤ g)].A function ψ : S → On is called monotonic increasing, if f≤ψ and if f ≤ g implies ψ ≤ ψ. For a mapping ψ : S → On let Clψ be the least set T of ordinals which contains 0 as an element (...) and which is closed under the following rule: If f ϵ S, range ⊆ T and supp ⊆ T, then ψ ϵ T. Let φ be the enumeration function of the class {ξ: [ξ = ωn]}. Let φ be the induced Schütte-Klammerterm-function which generates the Schütte-Veblen-hierarchy of ordinals. Then φ is monotonic increasing. We show: If ψ: S → On is monotonic increasing, then otyp) ≤ min {ξ : ξ = Φ, where 1ξ = 1 if α = ξ and 1ξ = 0 if α ↔ = 0 if α ≠ ξ. For τ an ordinal let Sτ := {f ϵ S : supp ⊆ τ}. A function ψ : Sτ → On is called τ-monotonic increasing if fξ and if f ≤ g implies ψ ≤ . For a function ψ Sτ → On let Clψ ↔ τ be the least set T of ordinals, which contains 0 as an element, such that if f ϵ Sτ and range ϵ T, then ψ ϵ T. We show: if ≥2 and if ψ Sτ → On is τ-monotonic increasing, then otyp ↔ τ) ≤. We also prove a generalization of this theorem in terms of well-partial orderings. MSC: 03F15, 03E10, 06A06. (shrink)

Lockes Wahrnehmungstheorie dient einem klaren philosophischen Ziel.1 Sie soll dazu beitragen, seine empiristische Grundthese zu untermauern, dass alle unsere Ideen letztlich aus der Erfahrung kommen – entweder aus der sinnlichen Wahrnehmung äußerer Gegenstände, oder aus der Reflexion, d.h. aus der inneren Wahrnehmung dessen, was im eigenen Geist gegeben ist. Jede Idee ist entweder komplex (d.h. das Ergebnis geistiger Operationen wie denen des Zusammenfügens, Vergleichens, Erweiterns und Abstrahierens letztlich von einfachen Ideen), oder sie ist eine einfache Idee. Einfache Ideen charakterisiert er (...) folgendermaßen: Sie bieten dem Geist etwas Einheitliches dar, in dem kein Unterschied anzutreffen ist, und lassen sich deshalb nicht in verschiedene Ideen zerlegen. Der Geist ist nicht fähig, aus eigener Kraft eine einfache Idee zu bilden oder zu zerstören; darin sind sie den kleinsten Teilchen der Körperwelt vergleichbar (II.2.1 f.). Sie sind also keine Fiktionen unserer Einbildung, sondern "notwendigerweise das Produkt von Dingen, die auf den Geist in einer natürlichen Weise einwirken"; zwischen ihnen und den Dingen, die sie uns repräsentieren, besteht eine "Konformität", die für wirkliches Wissen ausreicht (IV.4.4). Wir werden uns hier auf Lockes Theorie der Sinneswahrnehmung beschränken, die er viel detaillierter ausführt als seine Theorie der Reflexion. Insbesondere wird es darum gehen, vor welche komplexe Problemlage Lockes wahrnehmungstheoretischer Ansatz durch eine bestimmte Klasse körperlicher Eigenschaften (die sog. sekundären Qualitäten) gestellt wird und welche Lösung er entwickelt. Die Komplexität des Problems, vor dem Locke steht, rührt –wie im folgenden deutlich werden wird– daher, dass es Annahmen aus unterschiedlichen Bereichen sind (Erkenntnistheorie, Kausaltheorie, Repräsentationstheorie und Ontologie), die im Falle der primären Qualitäten keine Schwierigkeiten bereiten, wohl aber im Falle der sekundären.. (shrink)

The contribution of Jesuits to the different fields of knowledge, including philosophy, is historically well known. In fact, since the foundation of the Society of Jesus, in the 16th century, Jesuits from different generations and cultures have taken part in the philosophical debates of their time and their different contexts. Since the foundation of the Society of Jesus, in 1540, the Jesuits, individually and as a body, have engaged in a fruitful dialogue between the Christian tradition and different dimensions of (...) human culture. During almost five centuries, numerous Jesuits taught philosophy in academic institutions all over the world. Some of them have their names recorded in the history of philosophy. Of course, the majority of them is not anymore remembered, despite their valuable contribution to the development of the Jesuit intellectual tradition up to our times. In fact, as an heir of the Roman College, the first academic institution founded by the Society of Jesus, in 1551, the Pontifical Gregorian University, in Rome, is a witness to this tradition, which has been kept alive thanks to the discrete work of both Jesuits and lay intellectuals. Known as the University of the Nations, this institution corroborates not only the capacity of the Jesuit tradition to put faith in dialogue with reason, but also the option to take the concrete reality of each human culture and its historical context as its point of departure. The Jesuits’ willingness to engage in dialogue with different intellectual perspectives is underpinned by one of the most defining traits of the Jesuit charism, namely, the conviction that God can be found and served in all things. Accordingly, Jesuits have adopted, from the beginning, an amenable stance towards the world with its different cultures and intellectual trends. As such, Jesuits have, since the beginning, inhabited the frontiers of human thought. According to the contemporary philosopher Paul Gilbert, SJ, within the institutions under the leadership of the Society of Jesus, it was always possible to maintain an equilibrium between two principles: “intellectual unity” and “openness to the world.” Without detriment to the Jesuit identity, the companions of Ignatius have been willing to dwell in the various dimensions of human reality, in their multiplicity and plurality. Either in the renewal of Aristotle’s and Aquinas’ metaphysics, or in the dialogue with modern philosophers such as Descartes, Kant, or Hegel, and even in the inculturation in non-European contexts, the Jesuits have been able to preserve the Christian tradition through an original development of human culture in all its richness and diversity. With respect to the last century, it has to be acknowledged that a significant number of Jesuits made significant contributions, with recognized competence, to philosophy. Certainly, the 20th century was particularly complex in many respects. It would be enough to recall that this period, which brought with it unprecedented social, scientific, and technological developments, was also the stage for the two World Wars. With the emergence or consolidation of philosophical currents such as Marxism, Phenomenology, Existentialism, Structuralism, and Post-Modernism, the past century was, without any doubt, fascinating from the intellectual point of view. Jesuits such as Karl Rahner, Frederick Copleston, Bernard Lonergan, William Norris Clarke, John F. Kavanaugh, Teilhard de Chardin, Gaston Fessard, Jean Daniélou, Henri de Lubac, Michel de Certeau, Xavier Tilliette, Paul Valadier, Paweł Siwek, Ignacio Ellacuría, Francisco Taborda, Henrique de Lima Vaz and, in the Portuguese context, Diamantino Martins or Júlio Fragata, among many others, were able to engage different philosophical currents, problems and controversies of their times. Faithful to their long tradition of being present in the frontiers of thought, those Jesuits have engaged in a fruitful dialogue with these intellectual trends, offering relevant contributions to different ongoing debates. Within this context, the present volume recalls and discusses the philosophical contribution of some of the most prominent Jesuit protagonists of the intellectual interchange that took place in the 20th century. This volume also intends to celebrate the 75th anniversary of the Revista Portuguesa de Filosofia, which happens just before the inauguration of the Ignatian Year. Decreed by Father Arturo Sosa, the Superior General of the Society of Jesus, this celebratory Year will start on May 20, 2021, precisely 500 years after Ignatius of Loyola, the founder of the Jesuit Order, was wounded at the battle of Pamplona. We are happy that this volume could bring together outstanding specialists in the thought of some of the most prominent Jesuits philosophers of the last century, namely Paul Valadier, Paul Gilbert, Józef Bremer, Jacek Poznański, Alexander Maar, Patrick H. Byrne, M. Ross Romero, Carlos Alvarez, Hélio Pereira Lima, José Gama, Domingos Terra, Gabriel Flynn, Marie-Gabrielle Lemaire, José Sols Lucia, Lorena Zuchel Lovera, Pedro Pablo Achondo Moya, Enzo Solari, Massimo Borghesi, Mendo Castro Henriques, João Barbosa, and Dominique Lambert. In addition, in the celebration of the 100th anniversary of Júlio Fragata’s birth, Maria Teresa Fragata presents a memory of his life and thought. We hope that this volume may be useful to all those interested in the Jesuit philosophical tradition. Hopefully, it will stimulate scholars to pursue a fruitful and creative dialogue with contemporary philosophy, in the footsteps of the Jesuit philosophers featured here. We would like to thank all the authors and all those who, in different ways, made this volume possible. (shrink)

M. Ally: Why Jaspers gives us Hope: Deconstruc ting the Myth of Cultural Impermeability B. Andrzejewski: Über Kant und Schelling hinaus. Zur Frage der existenziellen Theorie der Kommunikation bei Jaspers A. Cesana: Weltphilosophie und philosophischer Glaube J. M. Cho: Cross-Cultural Adaptations in Karl Jaspers J. Fukaya: The Japanese Moral Framework and Jaspers Philosophy K. Fukui: Karl Jaspers Philosophie aus Sicht der Kyoto-Schule J.-C. Gens: Jaspers Begegnung mit und sein Verhältnis zu China S. Hanyu: The Cross-Cultural Thought in Jaspers Philosophy. In (...) comparison with Kantian Thought in Toward Perpetual Peace K. Hara: Konflikte und Kommunikation der Religionen. Zur Möglichkeit des philosophischen Glaubens A. Hirano: Arendt und Jaspers: Der innere Zusammenhang und die Unterschiede zwischen den Gedanken beider S. C. Kim: Der philosophische Glaube angesichts des religiösen Pluralismus L. Lambrecht: Philosophie gegen den Nationalsozialismus: Hannah Arendt und Karl Jaspers E. Lee: Heidegger and Jaspers on the Public Sphere: Jaspers Theory of Communication as an Antidote to Heideggers Dark Public World W. Lee: Philosophischer Glaube und universale Kommunikation bei Karl Jaspers T. Nakajima: Die Idee der Universität inmitten der Popularisierung" T. Nakayama: Jaspers Philosophie und Buddhismus. Das Denken der Leerheit" C. Olay: Öffentlichkeit bei Jaspers und Hannah Arendt S.-K. Paek: Kants Schrift Zum ewigen Frieden im Spiegel dreier Interpretationen: Volker Gerhardt, Jürgen Habermas, Karl Jaspers E. Park: The Possibility of Social Existenz. A Reinterpretation of the Concept of Existenz in Karl Jaspers F. Peach: Jaspers, Existential Communication and Globalisation C. Piecuch: Welteinheit: Rationale Entscheidung oder kosmische Notwendigkeit? I. Ren: Zwei Wege der philosophischen Logik: Jaspers und Heidegger N. Reyhani: Die Anthropologie-Debatte und der Vorwurf des Positivismus gegen Karl Jaspers I. Sarin: Jaspers on Bridging the Intercultural Gap H.-J. Seideneck: Der Zusammenprall von Kulturkreisen im Weltdorf unter dem Blickwinkel des erhebenden Scheiterns bei Karl Jaspers H. Stelzer: Das Aufbrechen fixierter Weltbilder in der interkulturellen Kommunikation E. Struchholz: Karl Jaspers und Jacob Burckhardt: Existenz und Existenzbild A. Takahashi: Zur Wechselbeziehung zwischen der Kommunikation in der Geschichte und derjenigen in unserer Zeit bei Jaspers M. Wirtz: Die Regionen des Geistes. Zur interkulturellen Relevanz einer Weltphilosophiegeschichtsschreibung nach Karl Jaspers M. Wischke: Kommunikative Übergänge und Grenzsituationen. Über Schuld und Gedächtnis bei Jaspers. (shrink)

We elaborate Weiermann-style phase transitions for well-partial-orderings (wpo) determined by iterated finite sequences under Higman-Friedman style embedding with Gordeev’s symmetric gap condition. For every d-times iterated wpo \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d}\right)}$$\end{document} in question, d > 1, we fix a natural extension of Peano Arithmetic, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T \supseteq \sf{PA}}$$\end{document}, that proves the corresponding second-order sentence \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{WPO}\left({\rm (...) S}{\textsc{eq}}^{d}, \trianglelefteq _{d}\right) }$$\end{document}. Having this we consider the following parametrized first-order slow well-partial-ordering sentence \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d}, r\right):}$$\end{document}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( \forall K > 0 \right) \left( \exists M > 0\right) \left( \forall x_{0},\ldots,x_{M}\in {\rm S}\text{\textsc{eq}}^{d}\right)$$\end{document}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( \left( \forall i\leq M\right) \left( \left| x_{i}\right| 1}$$\end{document} then \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d},r \right) }$$\end{document} is not provable in T.Moreover, by the well-known proof theoretic equivalences we can just as well replace T by PA or ACA0 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Delta _{1}^{1}\sf{CA}}$$\end{document}, if d = 2 and d = 3, respectively.In the limit case d → ∞ we replaceEFA-provably computable reals r by EFA-provably computable functions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${f: \mathbb{N} \rightarrow \mathbb{R}_{+}}$$\end{document} and prove analogous theorems. (In the sequel we denote by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}_{+}}$$\end{document} the set of EFA-provably computable positive reals). In the basic case T = PA we strengthen the basic phase transition result by adding the following static threshold clause\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2}, 1\right)}$$\end{document} is still provable in T = PA (actually in EFA). Furthermore we prove the following dynamic threshold clauses which, loosely speaking are obtained by replacing the static threshold t by slowly growing functions 1α given by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${1_{\alpha }\left( i\right)\,{:=}\,1+\frac{1}{H_{\alpha }^{-1}\left(i\right) }, H_{\alpha}}$$\end{document} being the familiar fast growing Hardy function and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H_{\alpha }^{-1}\left( i\right)\,{:=}\,\rm min \left\{ j \mid H_{\alpha } \left ( j\right) \geq i \right\}}$$\end{document} the corresponding slowly growing inversion. If \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\alpha < \varepsilon _{0}}$$\end{document}, then \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2}, 1_{\alpha}\right)}$$\end{document} is provable in T = PA. \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sf{SWP}\left( {\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2},1_{\varepsilon _{0}}\right)}$$\end{document} is not provable in T = PA. We conjecture that this pattern is characteristic for all \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T\supseteq \sf{PA}}$$\end{document} under consideration and their proof-theoretical ordinals o (T ), instead of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varepsilon _{0}}$$\end{document}. (shrink)

In their paper, “Helpful Lessons and Cautionary Tales: How Should COVID-19 Drug Development and Access Inform Approaches to Non-Pandemic Diseases?” Holly Fernandez Lynch and colleagues have present...

Urban landscapes in the Roman world were covered in written text, from monumental building inscriptions to smaller, more personal texts of individual accomplishment and commemoration. In the East, Greek dominated these written landscapes, but Latin also appeared with some frequency, especially in places where a larger Roman audience was expected, such as major cities and Roman colonies. When Latin and Greek appear alongside each other, whether in the same inscription or across a single monumental space, we might ask what benefits (...) the sponsor of the monument hoped to gain from such a bilingual presentation, and whether each language was serving the same function. This paper considers the monumental entrance to the Pamphylian city of Perge as a case study for exploring this relationship between bilingual inscriptions and civic space. By surveying the display of both Greek and Latin on this entrance, examining how the entrance interacted with the broader linguistic landscape of Perge, and considering the effects that each language would have had on the viewer, I show that the use of language, and the variation between the languages, served not only to communicate membership in both Greek and Roman societies but also to delineate civic space from imperial space, both physically and symbolically. (shrink)

We examine the ethical, social, and regulatory barriers that may hinder research on therapeutic potential of certain controversial controlled substances like marijuana, heroin, or ketamine. Hazards for individuals and society and potential adverse effects on communities may be good reasons for limiting access and justify careful monitoring of these substances. Overly strict regulations, fear of legal consequences, stigma associated with abuse and populations using illicit drugs, and lack of funding may, however, limit research on their considerable therapeutic potential. We review (...) the surprisingly sparse literature and address the particular ethical concerns pertinent to research with illicit and addictive substances, such as undue inducement, informed consent, therapeutic misconception, and risk to participants, researchers, and institutions. We consider the perspectives of key research stakeholders and explore whether they may be infected with bias. We conclude by proposing an empirical research agenda to provide an evidentiary basis for ethical reasoning. (shrink)

The influence of physician judgment on the disclosure, competency, understanding, voluntariness, and decision aspects of informed consent for bone marrow transplantation are described. Ethical conflicts which arise from the amount and complexity of the information to be disclosed and from the barriers of limited time, patient anxiety and lack of prior relationship between patient and physician are discussed. The role of the referring physician in the decision-making is considered. Special ethical issues which arise with use of healthy related bone marrow (...) donors are discussed, as is the physician's discretion in raising questions of competency. It is concluded that in this setting, regardless of the theoretical goals of the physician, patients appear to utilize informed consent discussions to assess their capacity to trust the physician rather than as a time to weigh the large amount of relevant data. The conscientious physician best serves the patient with recommendation of the best medical alternative rather than with attempts to remain neutral. (shrink)

"Not only one of the best but also the most comprehensive treatment of Stoicism written in this century." --Times Literary Supplement.

Both G.F.W. Hegel and Carl Schmitt took seriously the problem of political sovereignty entailed by liberal political theories. In Dictatorship (1919) and Political Theology (1922), Schmitt rejects liberal political theories that argue for the immediate unity of democracy and legality i.e., popular sovereignty, because he thinks they cannot secure political sovereignty. In the Philosophy of Right, Hegel denounces popular sovereignty for similar reasons. Yet given Schmitt’s negative assessment of Hegel their positions are seldom related to one another. I argue in (...) this paper that Schmitt’s analysis of liberal political theories is similar to Hegel’s analysis of Rousseau’s liberal ideas. I contend, however, that Schmitt’s solution, which collapses the distinction between the executive and the legislative power in favor of the former, fails to secure political sovereignty. Contrary to Schmitt, Hegel conceives of the liberal predicament as a basic determination of any political state that rests on the division of the legislative and executive power. Hegel argues that the constitutional monarchy is a genuine instantiation of political sovereignty that can maintain not only the division of these powers, but also their unity. In this regard, I argue that Hegel’s conception of the division of powers provides a more convincing theory of the problem afflicting modern states than Schmitt’s and at least deserves to be taken more seriously by critics of Schmitt’s solution such as Hannah Arendt, Leo Strauss, Jurgen Habermas, Andreas Kalyvas and Chantal Mouffe. (shrink)