In lieu of an abstract, here is a brief excerpt of the content: Classics and Complexity in Walden’s “Spring” M. D. USHER In 1843, two years before Henry Thoreau built his cabin at Walden Pond, the Fitchburg Railroad laid down tracks through the woods near the Pond for its line connecting Boston to Fitchburg. The original Fitchburg Line, at 54 miles long, was, until 2010, the longest run in the present -day MBTA Commuter Rail system. And it is one of (...) the oldest railways in New England. By 1900, fortunes swelled and the Fitchburg’s Hoosac Tunnel Line took passengers and goods westward toward Chicago. The Lake Champlain Route connected Boston to points north like Burlington, Vermont. (See Figure 1.) arion 27.1 spring/summer 2019 Figure 1 (left): Advertisement for the Hoosac Tunnel Route in The New England Magazine (Vol. 21, Issue 6, February, 1900). Figure 2 (right): Herbert Wendell Gleason. The Fitchburg Railroad and Walden Pond in winter, Concord, Mass., March 24, 1920. Courtesy Concord Free Public Library. The Railroad was literally a fixture in Thoreau’s landscape. Its tracks pass remarkably close to Walden Pond (Figure 2), and the Fitchburg Line—both its reality and the specter of it—is practically a character in his writing: “I usually go to the village along its causeway, and am, as it were, related to society by this link,” Thoreau writes in “Sounds,” a chapter of Walden that contains what must be one of the most picturesque odes (or laments) to rail travel and commerce in all of American literature: The engine’s whistle, Thoreau complains, pierces the still silence of his idyllic retreat like a screaming hawk circling a farmer’s field, its billows of steam an ominous harbinger of “this travelling demi-god, this cloud-compeller.”1 Thoreau’s frequent, customary walks into Concord along the railroad tracks took him through a heavily excavated stretch of the line known as the Deep Cut, to which he returned again and again each year in early spring, even after leaving the cabin, to observe and to record his observations. The leaf-shaped sand flows and trickling surface erosion caused by melting frost in the banks of the Deep Cut are elaborately described in Thoreau’s chapter in Walden entitled “Spring,” what Laurence Buell calls the “high point of Thoreau’s epic.”2 And yet, in spite of the universal acclaim of this passage as a literary tour de force, it has not received the full attention it deserves. What warrants fresh consideration first and foremost is “Spring”’s deep-rootedness in classical sources. Many classical influences, allusions, and a good deal of etymological word play have gone so far unnoticed. The chapter is also important because it describes, by intimation, what contemporary scientists now call emergence. Emergent phenomena are properties or behaviors that arise in systems as a result of complex, dynamic interactions amongst constituent parts, including changes to a system brought about by human interventions3—not only, e.g., climate change and wildfires, but also traffic patterns and terrorist networks; kidney function in the body; the rings of Saturn. As he tries to capture the essence of the 114 classics and complexity in WALDEN’s “spring” Deep Cut and interpret its significance, Thoreau adumbrates this concept, but also grapples ingeniously with broader issues of perennial concern—the relationship of Nature to Culture, for example, of Wilderness to Civilization, of Science to the Humanities—making “Spring” not only a probing work of eco-criticism and environmental philosophy, but of scientific reflection and poetic experiment as well. In short, Thoreau’s “Spring” is that rare work of classical reception that transmits both literary and scientific insight. Perhaps at this point, in lieu of accolades, it is best to let Thoreau start speaking for himself. What I offer in the following pages is a commentary on the Deep Cut passage from “Spring.” Classical references and aspects of systems theory will be explained and contextualized as they emerge, as it were, from Thoreau’s text. The whole chapter corresponds to pages 289–308 in Cramer’s edition of Walden—26 paragraphs all told, of which only the relevant ones are printed and annotated here. (Transitions and extraneous material are briefly summarized, as needed, in paraphrase... (shrink)

LIFE offers various amusements, and anyone these days who can choose among them will come late to the study of hiatus in Greek prose. Germany in the 1880s, so it seems, was less fortunate, and few greater excitements were known to young or old than the hunt for hiatus; but now that we no longer strait-waistcoat our classical authors and the austerity of those times is discredited, few collectors of hiatus are to be found, and there are people even in (...) Germany who have never identified a single specimen. Yet there is nothing to be said for underrating an author' stylistic pretensions, still less for encouraging others to do the same; and the textual critic, whose path is slippery enough at the best of times, can ill afford to dispense with footholds. There has been no broad study of hiatus in Greek prose since 1841, when Benseler in a long and original book De hiatu in oratoribus et historicis Graecis went through the text of 27 authors and attempted to determine their practice. (shrink)

The Schrödinger equation for a particle of rest mass $m$ and electrical charge $ne$ interacting with a four-vector potential $A_i$ can be derived as the non-relativistic limit of the Klein–Gordon equation $\left( \Box '+m^2\right) \varPsi =0$ for the wave function $\varPsi $ , where $\Box '=\eta ^{jk}\partial '_j\partial '_k$ and $\partial '_j=\partial _j -\mathrm {i}n e A_j$ , or equivalently from the one-dimensional action $S_1=-\int m ds +\int neA_i dx^i$ for the corresponding point particle in the semi-classical approximation $\varPsi \sim (...) \exp {(\mathrm {i}S_1)}$ , both methods yielding the equation $\mathrm {i}\partial _0\varPsi \approx \left( \frac{1}{2m}\eta ^{\alpha \beta }\partial '_{\alpha }\partial '_{\beta } + m + n e\phi \right) \varPsi $ in Minkowski space–time , where $\alpha ,\beta =1,2,3$ and $\phi =-A_0$ . We show that these two methods generally yield equations that differ in a curved background space–time $g_{ij}$ , although they coincide when $g_{0\alpha }=0$ if $m$ is replaced by the effective mass $\mathcal{M}\equiv \sqrt{m^2-\xi R}$ in both the Klein–Gordon action $S$ and $S_1$ , allowing for non-minimal coupling to the gravitational field, where $R$ is the Ricci scalar and $\xi $ is a constant. In this case $\mathrm {i}\partial _0\varPsi \approx \left( \frac{1}{2\mathcal{M}'} g^{\alpha \beta }\partial '_{\alpha }\partial '_{\beta } + \mathcal{M}\phi ^{(\mathrm g)} + n e\phi \right) \varPsi $ , where $\phi ^{(\mathrm g)} =\sqrt{g_{00}}$ and $\mathcal{M}'=\mathcal{M}/\phi ^{(\mathrm g)} $ , the correctness of the gravitational contribution to the potential having been verified to linear order $m\phi ^{(\mathrm g)} $ in the thermal-neutron beam interferometry experiment due to Colella et al. Setting $n=2$ and regarding $\varPsi $ as the quasi-particle wave function, or order parameter, we obtain the generalization of the fundamental macroscopic Ginzburg-Landau equation of superconductivity to curved space–time. Conservation of probability and electrical current requires both electromagnetic gauge and space–time coordinate conditions to be imposed, which exemplifies the gravito-electromagnetic analogy, particularly in the stationary case, when div ${{\varvec{A}}}=\hbox {div}{{\varvec{A}}}^{(\mathrm g)}=0$ , where ${{\varvec{A}}}^{\alpha }=-A^{\alpha }$ and ${{\varvec{A}}}^{(\mathrm g)\alpha }=-\phi ^{(\mathrm g)}g^{0\alpha }$ . The quantum-cosmological Schrödinger (Wheeler–DeWitt) equation is also discussed in the $\mathcal{D}$ -dimensional mini-superspace idealization, with particular regard to the vacuum potential $\mathcal V$ and the characteristics of the ground state, assuming a gravitational Lagrangian $L_\mathcal{D}$ which contains higher-derivative terms up to order $\mathcal{R}^4$ . For the heterotic superstring theory , $L_\mathcal{D}$ consists of an infinite series in $\alpha '\mathcal{R}$ , where $\alpha '$ is the Regge slope parameter, and in the perturbative approximation $\alpha '|\mathcal{R}| \ll 1$ , $\mathcal V$ is positive semi-definite for $\mathcal{D} \ge 4$ . The maximally symmetric ground state satisfying the field equations is Minkowski space for $3\le {\mathcal {D}}\le 7$ and anti-de Sitter space for $8 \le \mathcal {D} \le 10$. (shrink)

When did Livy write his history? How many books had it, and what did the lost ones cover? Such answers as can be given to these questions come almost entirely from the one extant summary, the Periochae. The manuscripts of the Periochae disagree, however, on a matter of considerable interest: out of a hundred or so, only three, supported by a lost fourth, have been cited as adding to the title Ex libro CXXI the subtitle qui editus post excessum Augusti (...) dicitur. When the latest editor, P. Jal in the Collection Budé , declares himself unconvinced of its authenticity , he leaves the reader to decide whether authenticity means truth, authorial origin, or presence in the archetype; but whatever it means, seeds of suspicion have been sown. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Prolegomenon to the Homeric CentosM. D. UsherHomeric centos are poems made up entirely of verses lifted verbatim, or with only slight modification, from the Iliad and Odyssey. Only a few have survived antiquity. There exist three short Homeric centos in the Palatine Anthology (9.361, 381, 382; cf. Hunger 1978, 98–101), a ten–line cento about Herakles quoted by Irenaeus (Wilken 1967), and a seven– line cento grafitto inscribed on the (...) leg of a statue of Memnon in Egypt, which dates from the reign of Hadrian (Bernand 1960, 111–13; Bowie 1990, 65). There are also several cento–like incantations from the Greek Magical Papyri that use lines from Homer (Maltomini 1995). The only Homeric centos we possess in any quantity are the topic of this study. These originated with a Christian bishop named Patricius in the fourth century C.E., and were later expanded by Eudocia Athenaïs, wife of the emperor Theodosius II, in the early fifth.Eudocia's Homeric centos have long been neglected for lack of a complete and authoritative text. The responsibility for this situation rests with the otherwise eminent Homerist, Arthur Ludwich, whose Teubner edition of 1897, the only edition of the centos currently available, is based on a single, partially edited manuscript (Par. graec. suppl. 388: "Codex Mutinensis").1 Pessimism about establishing a reliable text and aesthetic disenchantment with the poem itself have hampered further study: according to Joseph Golega, for example, the Homeric centos are "weder des Druckes noch des Lesens wert" (Golega 1960, 1).Such an assessment lacks understanding and imagination. In his short study of 1979, Kurt Smolak called for a new edition of the centos in no uncertain terms, emphasizing the poem's great heuristic potential (49):Die Zentonen als spezielle Form der spätantiken Homerrezeption erwiesen sich als der Interpretation ihrer oft nicht anerkannten dichterischen Möglichkeiten durchaus zugänglich—dann sind sie doch wohl auch eine [End Page 305] Edition wert! Denn die frühbyzantinische Bibeldichtung kann dem Theologen, Komparatisten und sich auch dem Philologen ein wenig bebautes Arbeitsfeld eröffnen—sofern dieser sich nicht als Zensor im Namen einer klassizistischen Ästhetik versteht.The present study is offered as a prolegomenon to a new, complete edition of Eudocia's poem—a first installment on the larger interpretive program suggested by Smolak.2 It concerns my collation and transcription of a manuscript of the Homeric centos in the collection of the Iviron monastery on Mount Athos, Greece, which I inspected meis oculis in the summer of 1995.3 This hitherto unaccounted–for cento manuscript, datable on palaeographical grounds to the mid–fourteenth century, is one of a type used by Aldus Manutius for the editio princeps of the centos, published in Venice in 1502 (Renouard 1825, 57–62). Ludwich all but ignored Aldus' edition and the important revision of it published by Henricus Stephanus in 1578. His oversight was unfortunate, for the Iviron–Aldus–Stephanus recension of the centos (hereafter simply "Iviron," or "Iviron recension") is completely different from his, and as we shall see, better than his as well.Our investigation begins with the Aldine edition, the preface to which indicates that the text was transcribed and corrected for Aldus by Petrus Candidus, the son or perhaps nephew of Petrus Candidus Decembrius (1399–1477), papal secretary to Nicolas V. This younger Candidus belonged to the Benedictine order of the Camaldunensians, who were housed in the Venetian monastery of St. Michael Murianus. Following the preface of Candidus is a six–line elegiac poem on the centos composed by Scipio Fortiguerra, a member of the Aldine Academy who frequently collaborated with Aldus in preparing printed editions. We can safely infer, therefore, that both Candidus and Fortiguerra had a hand in the production of the editio princeps, and it is likely that the ms or mss they used were Venetian, or at least Italian (cf. Harris 1898, 25–26). That manuscript has yet to resurface, and may no longer exist, though it is possible that Iviron 4464 was once in Venice. The monastery obtained it, according to its librarian Father Theologos, from the personal library of [End Page 306] Maximos Margounios (1549–1602), bishop of Kythera, who... (shrink)

In a previous paper by Pollock and Singh, it was proven that the total entropy of de Sitter space-time is equal to zero in the spatially flat case K=0. This result derives from the fundamental property of classical thermodynamics that temperature and volume are not necessarily independent variables in curved space-time, and can be shown to hold for all three spatial curvatures K=0,±1. Here, we extend this approach to Schwarzschild space-time, by constructing a non-vacuum interior space with line element ds (...) 2=e2λ(r) dt 2−e−2λ(r) dr 2−r 2(dθ 2+sin2 θdϕ 2), where $\mathrm{e}^{2{\lambda }(r)}=-\frac{1}{2}(1-\frac{r^{2}}{R_{0}^{2}})$ , which matches onto the vacuum exterior Schwarzschild metric in such a way that e2λ and d(e2λ )/dr are both continuous at the Schwarzschild radius R 0=2M. Then we show that the volume entropy is equal to A/4, where $A\equiv 4\pi R_{0}^{2}$ is the area of the apparent horizon, as found by Hawking. (shrink)

L'A. établit la biographie de Jean le Géomètre en se référant à ses poèmes et à ses épigrammes. Ces poèmes à Basile le Nothos apportent des éclaircissements sur sa carrière comme poète lauréat et sur ses attachements politiques. Il a notamment été renvoyé du service militaire juste après 985 à cause de son attachement à la faction de Basile le Nothos. Ces poèmes à Psenas prouvent indirectement qu'il a vécu au monastère de Kyros vers la fin de sa vie.

In a recent article I tried to disperse the fog in which modern editions envelop the transmission of the Livian Periochae and Floras' Epitoma de Tito Liuio. Working from editions and catalogues, and without looking at more than a few readily accessible manuscripts, I argued that the Periochae reached the Middle Ages in the company of Floras and nothing else; that the mainstream of the medieval tradition, which probably issued from the region south-west of Paris, derived first from a manuscript (...) that presented Florus and only 1–7 of the 142 Periochae, Λ, and then from one that presented Florus alone, e; that after appearing for several centuries only in N and P the complete text of Florus and the Periochae saw a revival in the Italian Renaissance, probably thanks to Petrarch and Boccaccio; and that most Italian manuscripts contaminate the text of e with the complete text. Pending visits to libraries, I left open several questions: whether Λ derived from the source of NP; whether e derived from Λ; whether the Italian manuscripts of the complete text all derive from one source; whether, if so, it was P; whether any of them have escaped contamination in Florus; and whether contamination had already begun in France. (shrink)

De ontsluiting van de kosmos, de dynamiek van de schepping, de onrust in ons bestaan doortrekt de systematiek van Dooyeweerd. Zij is wetmatig, subjectief èn objectief. Zij heeft betrekking op de modale aspecten en op de structuren van de werkelijkheid. We kennen natuurlijke ontwikkeling, de evolutie zoals beschreven door de natuurwetenschappen, we kennen de beschavingsgeschiedenis van de mensheid, we kennen de artistieke ontsluiting in de kunsten, we kennen de juridische ontsluiting in de rechtsvorming, we kennen de wetenschappelijke ontsluiting. De ontsluiting (...) is normatief oorzover mensen er een leidende rol in spelen, het script van die rol is de wereldbeschouwing en het middel is de techniek. (shrink)

The literary legacy of Aramaic-speaking Christianity consists predominantly of ecclesiastical works—theological treatises , sermons, hymns, and the like; it is for the most part, one must admit, rather dull stuff. Distinguished from the rest, and of peculiar interest to classical students, are secular works, translated from the Greek, which include, apart from medical and scientific treatises, a handful of writings by Plutarch, Lucian, and Themistius. Baumstark suggests that the translator of these three Greek writers be identified as Sargis , a (...) learned priest and ρχιατρός in Theodosiopolis, with a somewhat chequered ecclesiastical career , who is known as the translator of a number of philosophical and medical treatises. Sargis has his place in the history of thought, for it was in the first place through his Syriac translations that the Arabs became acquainted with Galen, whose works eventually assumed almost canonical status with them. (shrink)

There is disagreement in the literature about the exact nature of the phenomenon of empathy. There are emotional, cognitive, and conditioning views, applying in varying degrees across species. An adequate description of the ultimate and proximate mechanism can integrate these views. Proximately, the perception of an object's state activates the subject's corresponding representations, which in turn activate somatic and autonomic responses. This mechanism supports basic behaviors that are crucial for the reproductive success of animals living in groups. The Perception-Action Model, (...) together with an understanding of how representations change with experience, can explain the major empirical effects in the literature. It can also predict a variety of empathy disorders. The interaction between the PAM and prefrontal functioning can also explain different levels of empathy across species and age groups. This view can advance our evolutionary understanding of empathy beyond inclusive fitness and reciprocal altruism and can explain different levels of empathy across individuals, species, stages of development, and situations. Key Words: altruism; cognitive empathy ; comparative; emotion; emotional contagion; empathy ; evolution; human; perception-action; perspective taking. (shrink)

Moreau sketches here with enthusiasm the large features of Aquinas’s epistemology. He is not, as he makes clear, a Thomist either by training or by avowal. The book is not, then, a specialist’s monograph or dogmatic treatise. It is Moreau’s attempt to hear what Aquinas will say to the great questions. The attempt is largely successful in attending to Aquinas’s remarks, though it does not catch their ambiguities.