Haec tractatio est responsio critica ad tractationem Ludovici Groarke, titulo “Orbitae ellipticae, possintne Aristotelice explicari?”, necnon ad commentationem Jacobi Franklin, cui titulus “De orbitis ellipticis ac Aristotelica revolutione scientifica”. Auctor imprimis ostendit (ultra censuram a J. Franklin factam procedens) explanationem “Aristotelicam” orbitarum ellipticarum a L. Groarke propositam non solum analysi Newtonianae repugnare, sed etiam in se esse incohaerentem. Porro auctor alia L. Groarke proposita impugnat: scil. nostri temporis physicam mathematicam esse essentialiter Platonicam, item Newtonianam orbitarum ellipticarum explicationem assymetriam prae se (...) ferre inexplicabilem (cui sententiae J. Franklin quoque assentit). Auctor e contra arguit, textibus nonnulis S. Thomae Aquinatis innixus, physicam modernam, mathematica sui methodo non exclusa, realisticae epistemologiae Aristotelicae esse congruam, immo pure Aristotelice intelligi posse (ac debere). Auctor tamen reicit quod J. Franklin insinuat, scil. physicam modernam nunc Aristotelicae philosophiae naturalis explere munia. Physica mathematica enim, methodo sua constricta, quaestiones genuine philosophicas (nempe ad essentias rerum spectantes) movere non potest, ac proinde philosophiae naturalis vice fungi nequit.This discussion article is a critical reaction to L. Groarke’s paper “Can Aristotelianism Make Sense of Perihelion–Aphelion Orbits?” and J. Franklin’s comment “Elliptical Orbits and the Aristotelian Scientific Revolution”. In the first place, the author shows (going beyond Franklin’s criticism) that Groarke’s proposed “Aristotelian” explanation of elliptical planetary orbits is inconsistent both in itself and with the Newtonian analysis. Furthermore, he challenges Groarke’s claims that modern mathematical physics is inherently Platonic and that the Newtonian explication of elliptical orbits involves unexplained assymmetries (a claim endorsed by Franklin as well). With the help of several Aquinas’s texts the author argues that modern physics, including its maths-driven methodology, is not incompatible with Aristotelian realist epistemology but can (and should) be interpreted in a purely Aristotelian vein. On the other hand, the author rejects the view implied by Franklin that modern physics is an up-to-date replacement of Aristotelian philosophy of nature. Due to its methodological limits, mathematical physics is incapable of asking genuinely philosophical questions concerning the essence of bodies, and so it cannot be expected to do the job of natural philosophy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Beyond Ratzinger's Republic:Communio's Postliberal TurnSam Zeno Conedera S.J. and Vincent L. Strand S.J.Is the political future of the West a postliberal one? For the past decade, numerous prominent thinkers in America and Europe have been debating this question. Matters that not long ago were merely of historical interest, such as Pope Gelasius I's understanding of the relation between sacral authority and royal power, Thomas Aquinas's thought on monarchy (...) and Robert Bellarmine's theory of the pope's indirect authority in temporal matters are now increasingly studied for their potential answers to contemporary political questions. This development, which would have been nearly unimaginable just a decade earlier, unsurprisingly has been led by Catholics. We say "unsurprisingly" in view of the long pre-modern tradition of Catholic political thought, as well as the Church's long struggle against liberalism during the nineteenth and early twentieth centuries. Some of the current postliberal writers explicitly connect themselves to both of these aspects by using the term "integralist" to describe their position.1 [End Page 889]This "new integralism" represents a radical departure from the mainstream of Catholic political discourse of the last half century, which has largely sought rapprochement with Western liberalism. A group of writers, led by John Courtney Murray, George Weigel, Michael Novak, and Robert George, have held that the American constitutional order is rooted in the natural law tradition, and therefore is basically friendly to Catholic political thought. The Church's role in American life, they say, is upholding the natural law as a public moral philosophy, while embracing the non-establishment clause of the First Amendment as a matter of principle, in accordance with the teachings of the Second Vatican Council. This "Whig Thomism," which for decades represented the predominant outlook of conservative American Catholics, must now face the challenge of a different sort of Thomism represented by the integralists.2While the engagement between Whig Thomists and integralists has received most of the attention from scholars and journalists alike, another postliberal option has emerged in recent years. Its source is a group of Catholic thinkers associated with the Communio theological movement. Their political vision, which has no single name or label, has a complex and subtle relationship with the thought of earlier Communio writers, most of whom shared the Whig Thomist desire for reconciliation with Western liberalism. [End Page 890] The appearance of a Communio postliberalism therefore represents a significant development within this intellectual tradition. The most important representative of the earlier Communio perspective on political questions is Joseph Ratzinger / Pope Benedict XVI, who has recently been lauded as the "most important Catholic thinker of the twentieth century" on matters at the intersection of theology and politics.3In an article titled "Ratzinger's Republic" that appeared in these pages in 2020, we identified a significant tension in his thought about the Church's contribution to political life.4 Exploring Ratzinger's writings on natural law, we demonstrated that two currents are present. In accord with his fundamental theological commitments about nature and grace and about faith and reason, Ratzinger often questioned the effectiveness of arguments from natural law. He claimed that, since reason is historically conditioned, and therefore in the current order marked by sin, reason needs grace and faith to function properly. Yet, on other occasions, Ratzinger strongly endorsed arguments from natural law, highlighting its role as the foundation of a just democratic political order. We traced this ambivalence about natural law back to a dilemma at the heart of Ratzinger's political thought. On the one hand, in accord with his thinking about the relations of nature and grace and faith and reason, Ratzinger argued that the state needs the Church to supply moral values that the state cannot furnish on its own. On the other hand, he believed it belongs to the very nature of the Church to be separate from the state, and he endorsed nonconfessional, religiously pluralistic states.5 In light of these two commitments, Ratzinger argued that the contribution Christians are to make to the state is to supply moral values that were discerned under the influence of grace and divine revelation but... (shrink)

Loneliness is commonly conceived of as a topic under the purview of psychology. Empirical research on loneliness utilizes a definition of psychology as essentially subjective, i.e. as a first-personal mental property an individual can have. As a first-personal mental property, subjects have, as it were, privileged access to their state of being lonely. Rehearsing some well-known arguments from later Wittgenstein, I argue that loneliness – contrary to an unargued assumption present in several academic engagements – is not subjective in the (...) sense that whether or not a person is lonely does not in all cases hinge on that person’s subjective mental states. This becomes apparent when considering cases of alienation from self-knowledge (Moran 2001). Using Heidegger’s notion of being-in-the-world and being-with I argue that such cases from alienation point towards the notion that loneliness is not merely a subjective feeling, but a categorically different privation of the fundamental mode of being with others. (shrink)

Varying forms of ontological and methodological naturalism are among the most popular theses in contemporary philosophy. However, each of these theses faces a different dilemma: ontological naturalism is famously challenged by Hempel’s dilemma, while methodological naturalism faces issues regarding its coherence. Some prominent naturalists (Elpidorou and Dove 2018, Ney 2009, Rea 2002) have suggested to circumvent these respective dilemmas by reconceiving naturalism as an attitude (rather than a thesis). This paper argues that such attitude accounts are unsuccessful: naturalism as an (...) attitude either collapses into a thesis again or is rationally unjustifiable. This paper closes by suggesting two options a naturalist has remaining. Either a naturalist can reasonably choose to revert to defending naturalism as a thesis; given that naturalism receives substantial support, it is not unlikely that a solution to the problems encountered by naturalism qua thesis is forthcoming. Or a naturalist might simply want to embrace an a-rational form of naturalism as a worldview, as suggested by Kim (2003) and Stoljar (2010) (and earlier by thinkers like Dilthey 1960 and Jaspers1925). (shrink)

Countless academic books have been written about how to interpret literary texts. From reader response criticism to Marxist hermeneutics and beyond, the scholarship on interpretive methods is vast. Yet all these books fail to address a more fundamental question: Why should we read in the first place? Or, to put it another way, why is reading an important thing to do? In order to answer these questions, Thomas J. Millay turns to the wisdom of Danish philosopher-theologian Søren Kierkegaard. In (...) this the first book to be written on Kierkegaard's philosophy of reading, Millay finds that reading does have a specific purpose: it is supposed to change your life. With lucid, nontechnical prose, Millay both establishes the definitive interpretation of Kierkegaard's philosophy of reading and explores the various concrete practices Kierkegaard recommended for its implementation"--Publisher's description. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:THE EUCHARISTIC THEOLOGIES OF LAUDA SION AND THOMAS AQUINAS'S SUMMA THEOLOGIAE THOMAS J. BELL Emory University Atlanta, Georgia MANY works associated with Thomas Aquinas stand both the Office and Mass for the Feast of Corpus Christi.1 The earliest witness to this association comes from two of Thomas's Dominican brothers and younger contemporaries, Tolomeo of Lucca and William of Tocco. Around 1317 Tolomeo wrote in his (...) Historia Ecclesiastica: " Thomas composed [the Corpus Christi Office] in full, including the lessons and all the parts to be recited by day or night; the Mass, too, and whatever has to be sung on the day." 2 William, in his Historia beati Thomae completed around 1320, lists the liturgy of Corpus Christi among Thomas's works and informs us that Thomas wrote the liturgy " at the request of Pope Urban [IV]." 3 It is known that on August 11, 1264, Urban, in the bull Transiturus, declared that the Feast of Corpus Christi was to be celebrated throughout Christendom according to a "new, Roman," liturgy.4 Thomas had returned from Paris to Italy, his 1 This does not mean that Thomas created the liturgy for the feast de nova. Rather it means that Thomas selected and combined older elements from the Scriptures, the Fathers, and existing liturgies, only venturing to write from scratch those hymns and prayers necessary for expressing the theological and devotional views central to the Feast of Corpus Christi. In other words, Thomas wrote or pieced together texts " proper " to the feast and united them with the " ordinary " texts of the Mass and Office. 2 James A. Weisheipl, Friar Thomas d'Aquino: His Life, Thought and Works (Washington, D.C., 1974), p. 177. a Ibid., pp. 132, 177. 4 Ibid., pp. 179, 183. For a partial translation of the bull Transiturus see also Darwell Stone, A History of the Doctrine of the Holy Eucharist (London, 1909), vol. 1, 344-46. This "new, Roman" liturgy promulgated by Urban IV was, indeed, a new 163 164 THOMAS J. BELL homeland, five years before the bull was published. Furthermore, by 1264 he had developed a "warm friendship" with Urban, whom we know to have commissioned Thomas to write several works between 1261 and 1265.5 These facts have led most scholars since the early fourteenth century to conclude that Urban's "new" liturgy was the work of Thomas.6 In recent years, however, Cyrille Lambot has questioned whether Thomas wrote or compiled the liturgy promulgated by Urban. He has noted that Reginald of Piperno, Thomas's amanuensis and companion from 1259 to 1274, did not include the liturgy for Corpus Christi in his list of Thomas's works. Moreover, the Dominican Order, like most Orders and dioceses, did not adopt Urban's liturgy for the Feast of Corpus Christi until 1317, when John XXII required its use throughout Western Christendom.7 If Thomas had written the liturgy, argues liturgy composed for the celebration of Corpus Christi. Around 1246 a certain John, a religious of Mont-Cornillon, had compiled a liturgy for the " Body of the Lord " that was in place throughout the diocese of Liege. Being so impressed by the solemnities of the Liege eucharistic celebration, Hugh of Saint-Cher, a Dominican and the cardinal legate of Germany, declared in 1252 that the feast of Corpus Christi was to be celebrated throughout the territory under his leadership. Jacques Pantaleon, the future Urban IV, knew the solemnities of Liege from his time as the city's archdeacon. It seems that upon his election as Pope, Urban was urged by many people to establish the Feast throughout Christendom. Eventually he did this with the publication of the bull Transiturus. For more details, see Weisheipl, Friar Thomas d'Aquino, pp. 178-79. 0 Weisheipl, Friar Thomas d'Aquino, p. 147. 6 The liturgy for the Feast of Corpus Christi that is associated with Thomas is not identical with the one currently used in both the Roman rite and Dominican rite. The modern texts for the Feast reflect the liturgical reforms that have occurred since Thomas's day. Notwithstanding these reforms, the Mass for the Feast (Cibavit eos), which includes Lauda Sion, has for the most part... (shrink)

We assess the current state of sociology of religion, particularly in the United States, for the extent to which a “critical sociology of religion” currently exists and how it might look if it did. We focus particular attention on two areas of inquiry: religion and health; and religion and violence.

Philosophers provide excellent resources for developing a science of virtues, and an interdisciplinary collaboration between philosophers and psychologists seems ideal. This suggestion is not new, but there has been little guidance for psychologists about how philosophical work can be useful in developing a science of virtue. This article provides some guidance by dividing the contributions of philosophers into three categories. First, many philosophers provide theories of virtue’s nature or value, but these are generally not useful for psychological scientists and can (...) be safely ignored. Second, awareness of the range of philosophic positions can enable scientists to recognize contentious theoretical assumptions that they are making. Psychologists need not try to resolve these debates; they can choose to only identify which position(s) they are taking. Third, awareness of the range of philosophic positions and the competing conceptual analyses of various virtue concepts and traits can help psychologists to identify and test new empirical hypotheses. (shrink)

Near the end of Practice in Christianity, Kierkegaard’s pseudonym Anti-Climacus denies that progress occurs within history. We are not getting better every day, in every way. According to Anti-Climacus, we are the same as we have always been. This essay sets Anti-Climacus’s denial of progress in its historical context, arguing that he develops a counter-philosophy of history which combats the prevailing Hegelianism of his age. The essay also draws connections between Anti-Climacus’s philosophy of history and the themes of imitation and (...) contemporaneity, showing how a denial of history’s progress enables contemporary humans to interact with the same world Christ faced. (shrink)

The Ethics Code of the American Psychological Association is a bedrock of the profession. The contextual factors of society affect the Ethics Code of the APA, resulting in an ever-changing document. The context of the reorganization of the APA after World War II created an initial impetus toward a formalized code. A key contextual feature of the Code's development was the use of the Critical Incident Technique, which was based in the empirical aspirations of the psychological field. This article explores (...) the historical context around the APA's decision to draft an ethics code, reviews its development, and discusses its role for psychologists today. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ministers of the Law: A Natural Law Theory of Legal AuthorityThomas J. BushlackMinisters of the Law: A Natural Law Theory of Legal Authority Jean Porter Grand Rapids, Mich.: Eerdmans, 2010. 368 pp. $30.00Jean Porter’s most recent book is the fruit of her participation with the Emory Center for the Study of Law and Religion since 2005. In this project she undertakes two interrelated tasks. First, she provides compelling (...) reasons for Christian ethicists to engage in questions internal to the discipline of jurisprudence. Second, she demonstrates how a natural law theory grounded in the work of the medieval scholastics can address some of the questions of contemporary jurisprudence. Readers familiar with her previous work will be delighted that she has extended her constructive account of natural law into the realms of jurisprudence and in the process also engages cultural psychology, rhetoric, political philosophy, and international law.Porter begins her engagement with jurisprudence in chapter 1 by noting a paradox recognized by many legal philosophers in the Anglophone world. Legal systems, as they have developed in the West, are characterized by a high degree of autonomy and independence vis-à-vis other social dynamics such as politics or morality. At the same time, however, no legal system can function in complete isolation from considerations of politics and morality. How can we account for the paradoxical autonomy of legal authority? Porter suggests that a scholastic account of natural law can provide a rationally defensible solution to this paradox by developing an account of natural authority (in chapter 2).The force of Porter’s argument rests on the capacity of her account to justify political and legal authority as a natural expression of the authority that any community exercises vis-à-vis its individual members. A community’s authority over its members is justified on the grounds that in prescribing or prohibiting particular acts, it must appeal to claims that could potentially be recognized as justifiable by any rational member of that community. The concept that creates this important hinge between an individual’s good and the good of the community is, of course, the common good. Scholars interested in the concept of the common good will find that her reflection upon it is both rooted deeply in the Christian tradition and applied with fresh insight to the realm of politics (chapter 3) and law (chapter 4). [End Page 210]One potential objection to Porter’s account of natural law could arise in response to her insistence that natural inclinations “underdetermine” the normative content of a natural law morality, leaving her account open to charges of cultural relativism or of being merely descriptive as opposed to normative. However, in this work she is able to turn these criticisms into assets for her account of natural law. She shows (successfully, I believe) how her theory of natural law is able to account for the plurality of moral, political, and legal systems that exist in our world today while still providing normative grounds for critiquing existing social systems. And in chapter 5 she demonstrates how nonderogable, jus cogens principles can be developed from her account of natural law and applied to the field of international law and human rights. In fact, the final section left me hungry for further development of her insights regarding the relationship between natural and international law.This book is written with the same rigorous logic and careful research that has made Porter one of the leading scholars of natural law theory in the field today. As such, this book would be suitable for academics in a wide variety of fields, such as law, political theory, and of course Christian ethics, or for advanced graduate students. It is most certainly a groundbreaking work for demonstrating how a theological account of natural law can engage in constructive dialogue with legal theory and politics at both a theoretical and a practical level.Thomas J. BushlackUniversity of St. ThomasCopyright © 2012 The Society of Christian Ethics... (shrink)

The Abased Christ is the first monograph to be devoted exclusively to Søren Kierkegaard’s Christological masterpiece, Practice in Christianity. Alongside an argument for a new translation of the work’s title, it offers detailed textual commentary on a series of themes in Practice in Christianity, such as the person of Christ, contemporaneity, imitation, and Kierkegaard’s philosophy of history. Anti-Climacus, the pseudonymous author of Practice in Christianity, presents to his readers a uniquely challenging understanding of who Christ is and what it means (...) to follow him. The Christ of Anti-Climacus is not the glorious Christ who abides with the Father in heaven, but the abased Christ who is poor, marginal, offensive, and persecuted. Throughout Practice in Christianity, we are called not only to perceive the abased Christ, but to follow after him. The Abased Christ aims to enrich historical theologians’ appreciation of Kierkegaard’s Christology. However, it concludes by grappling with questions of power, agency, and sacrifice which have been at the forefront of contemporary theology in the 20th and 21st centuries, thereby suggesting how we might make sense of Kierkegaard’s Christology today. (shrink)

The notion of horizonality plays an important role in hermeneutical philosophy above all owing to the centrality afforded the concept of horizon in Hans‐Georg Gadamer's groundbreaking Truth and Method. The notion of the horizon is explicitly introduced as a metaphor for the way that intellectual understanding mirrors everyday perceptions of visible objects in that they always and inevitably take place from a perspective that opens up a space within which some things can easily be seen but which also sets the (...) limits beyond which things cannot easily be seen without additional efforts or movement. Gadamer himself recognizes that the insights into the role of horizons in any understanding developed in the nineteenth century with the rise of historical consciousness in general and then came to be themes of explicit reflection in his own immediate philosophical predecessors, Dilthey, Husserl, and Heidegger. (shrink)

This article compares the differences between Kant’s and Husserl’s conceptions of the “transcendental.” It argues that, for Kant, the term “transcendental” stands for what is otherwise called “metaphysical,” i.e. non-empirical knowledge. As opposed to his predecessors, who had believed that such non-empirical knowledge was possible for meta-physical, i.e. transcendent objects, Kant’s contribution was to show how there can be non-empirical (a priori) knowledge not about transcendent objects, but about the necessary conditions for the experience of natural, non-transcendent objects. Hence the (...) transcendental for Kant ends up connoting a philosophy that claims to show how subjective forms of intuition and thinking have objective validity for all objects as appearances. By contrast, Husserl’s phenomenological philosophy takes a different set of problems for its starting point. His quest is to avoid the uncertainty of empirical knowledge about all kinds of objects that present themselves to us as something other than, something transcendent to, consciousness. Transcendental or reliable knowledge is made possible through the phenomenological reduction that focuses strictly on consciousness as immediately self-given to itself—reflection upon “pure” consciousness. The contents of such consciousness are not the same for everyone and at every time, so they are not necessary and invariant in the way that Kant’s pure forms of subjectivity are. Since Husserl however also claims that the all objects, as intentional objects, are constituted in and for consciousness, an investigation into the structures of pure subjectivity can also be called “transcendental” in a further sense of showing the genesis of our knowledge of objects that are transcendent to consciousness. Moreover, since Husserl’s philosophical interest is precisely upon the structures of that consciousness, he also concentrates on necessary conditions for the constitution of these objects in his philosophical work. Hence, there ends up being a great deal of overlap between his own transcendental project and Kant’s in spite of the differences in what each of them means by the term “transcendental.”. (shrink)

Corporate political action committees (PACs) play a prominent role in the political strategies of U.S. organizations, and the ability of firms to influence political outcomes is highly controversial. To the extent that PACs enable groups of firms to pursue corporate agendas at the expense of the social good, they promote socially suboptimal outcomes. This study examines the impact of corporate PACs on entry restriction in manufacturing industries and finds a negative relationship between corporate PAC spending and the entry of new (...) firms. Results suggest that PACs are used to shape industry structure to the economic benefit of incumbents. (shrink)

Fowers et al. (2017)recently made a general argument for virtues as the characteristics necessary for individuals to flourish, given inherent human limitations. For example, people can flourish by developing the virtue of friendship as they navigate the inherent (healthy) human dependency on others. This general argument also illuminates a pathway to flourishing during the COVID-19 pandemic, the risks of which have induced powerful fears, exacerbated injustices, and rendered life and death decisions far more common. Contexts of risk and fear call (...) for the virtue of courage. Courage has emerged more powerfully as a central virtue among medical personnel, first responders, and essential workers. Longstanding inequalities have been highlighted during the pandemic, calling for the virtue of justice. When important personal and public health decisions must be made, the central virtue of practical wisdom comes to the fore. Wise decisions and actions incorporate the recognition of relevant moral concerns and aims, as well as responding in fitting and practical ways to the specifics of the situation. Practicing courage, justice, and practical wisdom illuminates a path to flourishing, even in a pandemic. (shrink)

Lookism refers to discrimination based on physical attractiveness or the lack thereof. A whole host of empirical research suggests that lookism is a pervasive and systematic form of social discrimination. Yet, apart from some attention in ethics and political philosophy, lookism has been almost wholly overlooked in philosophy in general and epistemology in particular. This is particularly salient when compared to other forms of discrimination based on race or gender which have been at the forefront of epistemic injustice as a (...) topic of research. This paper argues that lookism is associated with various forms of epistemic injustice. In the specific case of lookism, hermeneutic injustice takes the shape of the taboo of acknowledging that unattractive people are unattractive. This, on the one hand, results in a hampered understanding of one’s own situation insofar as one is deterred from seeing one’s looks as one major factor for one’s social position. On the other hand, this hermeneutic injustice serves as the backdrop of instances of a special kind testimonial injustice in which the ugly person’s burgeoning realization that their looks influence their social standing detrimentally is discounted due to the pejorative nature of ascribing someone the property of being unattractive or ugly. (shrink)

This article proposes that Goffman's "Frame Analysis" can be interpreted as a step toward unpacking the idea of context. His analysis implies a recursive model involving frames within frames. The key problem is that neither Goffman nor anyone else has clearly defined what is meant by a frame. I propose that it can be represented by a word, phrase, or proposition. A subjective context can be represented as an assembly of these items, joined together by operators such as and, since, (...) if, not, and then. Furthermore, this model can be combined with the recursive levels of mutual awareness in earlier approaches to consensus. The combination would represent the inter subjective context: it can be used to find the minimum amount of background that would allow consensual interpretations of discourse. It could also construct a chain that links discourse to the institutional level, the micro-macro pathway from word and gesture to social structure. Goffman hinted that mathematical notation might be used to represent a frame assembly. By adding levels of awareness to such notation, it could represent social facts. Because the use of vernacular words rather than concepts is a problem in social science, Goffman's approach has a general as well as a particular significance. (shrink)

Husserl famously characterized phenomenology as a science of “infinite tasks.” Among other things, this claim refers to the maximally general scope of phenomeno.

The paper discusses some aspects of the relationship between Feyerabend and Kuhn. First, some biographical remarks concerning their connections are made. Second, four characteristics of Feyerabend and Kuhn's concept of incommensurability are discussed. Third, Feyerabend's general criticism of Kuhn's Structure of Scientific Revolutions is reconstructed. Fourth and more specifically, Feyerabend's criticism of Kuhn's evaluation of normal science is critically investigated. Finally, Feyerabend's re-evaluation of Kuhn's philosophy towards the end of his life is presented.

Shoenfield [8] has shown that a hierarchy for the functions recursive in a type-2 object can be set up whenever E2 (the type-2 object that introduces numerical quantification) is recursive in that type-2 object. With a restriction that we will discuss in the next paragraph, Moschovakis [4, pp. 254–259] has solved the analogous problem for type-3 objects. His method seems to generalize for any type-n object, where n ≥ 2. We will solve this same problem of finding hierarchies based on (...) type-n objects by a different method. Instead of using ordinal notations for indexing stages of hierarchies, as do Shoenfield and Moschovakis, we will define notation-independent stages. (shrink)

This paper seeks to shed fresh light on the aesthetic and stylistic affiliations of Lycophron'sAlexandra, approaching the poem from two distinct but complementary angles. First, it explores what can be gained by reading Lycophron's poem against the backdrop of Callimachus’ poetry. It contends that theAlexandrapresents a radical and polemical departure from the Alexandrian's poetic programme, pointedly appropriating key Callimachean images while also countering Callimachus’ apparent dismissal of the ‘noisy’ tragic genre. Previous scholarship has noted links between the openings of theAetiaand (...) of theAlexandra, but this article demonstrates that this relationship is only one part of a larger aesthetic divide between the two poets: by embracing the raucous acoustics of tragedy, Lycophron's poem offers a self-conscious and agonistic departure from Callimachus’ aesthetic preferences. Second, this article considers another way of conceiving the aesthetics of the poem beyond a Callimachean frame, highlighting how Lycophron pointedly engages with and evokes earlier Aristotelian literary criticism concerning the ‘frigid’ style: theAlexandraconstructs its own independent literary history centred around the alleged name of its author, ‘Lycophron’. The article proposes that this traditional attribution is best understood as a pen name that signposts the poem's stylistic affiliations, aligning it not so much with the Ptolemaic playwright Lycophron of Chalcis but rather with Lycophron the sophist and a larger rhetorical tradition of stylistic frigidity. Ultimately, through these two approaches, the article highlights further aspects of theAlexandra's aesthetic diversity. (shrink)