We have found a new computer solution to the aesthetic field equations. This solution describes a two-particle system with more structure than previously found. The contour lines show an arm structure. We have observed four arms around the maximum center. The location of the maximum (minimum) center is not along a straight line as a function of time. This is the first time that such an effect has been observed for any kind of nonlinear partial differential equation, so far as (...) we know. A further discussion of the aesthetic principles leading to the field equations is given. (shrink)

In this article, we present results from a literature review of intrinsic, instrumental, and relational values of nature conducted for the Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services, as part of the Methodological Assessment of the Diverse Values and Valuations of Nature. We identify the most frequently recurring meanings in the heterogeneous use of different value types and their association with worldviews and other key concepts. From frequent uses, we determine a core meaning for each value type, which is (...) sufficiently inclusive to serve as an umbrella over different understandings in the literature and specific enough to help highlight its difference from the other types of values. Finally, we discuss convergences, overlapping areas, and fuzzy boundaries between different value types to facilitate dialogue, reduce misunderstandings, and improve the methods for valuation of nature's contributions to people, including ecosystem services, to inform policy and direct future research. © 2023 The Author(s). Published by Oxford University Press on behalf of the American Institute of Biological Sciences. (shrink)

Theories of morality suggest that negative emotions associated with antisocial behavior should diminish motivation for such behavior. Two reasons that have been proposed to explain why some individuals repeatedly harm others are that (a) they use mechanisms of moral disengagement to justify their actions, and (b) they may not empathize with and vicariously experience the negative emotions felt by their victims. With the aim of testing these proposals, the present study compared spinal cord injured disabled athletes and able-bodied athletes to (...) determine the effect of reduced visceral afferent feedback caused by spinal cord injury on antisocial behavior, moral disengagement, empathy, and negative emotion (i.e., anger, anxiety, and dejection). Disabled athletes reported less frequent antisocial behavior and lower moral disengagement than able-bodied athletes. Group differences in antisocial behavior were mediated by differences in moral disengagement. The two groups did not differ in empathy or negative emotion. The findings of this study suggest that antisocial behavior may be regulated by mechanisms of moral disengagement. (shrink)

This paper illustrates some of the exciting and interesting philosophical discussions we can have with children when we let them develop the thread of the conversation in their own ways. The author discusses the virtue of patience when doing philosophy with children, and the importance of letting the rhythms of the discussion unfold without undue adult interference. Adults (and especially teachers) often attempt to control the ways in which children discuss issues with one another. The author reminds us of how (...) powerful it can be for a philosophical conversation among children to develop organically. and of how allowing silences to occur can inspire further philosophical explorations among the children. (shrink)

This paper illustrates some of the exciting and interesting philosophical discussions we can have with children when we let them develop the thread of the conversation in their own ways. The author discusses the virtue of patience when doing philosophy with children, and the importance of letting the rhythms of the discussion unfold without undue adult interference. Adults (and especially teachers) often attempt to control the ways in which children discuss issues with one another. The author reminds us of how (...) powerful it can be for a philosophical conversation among children to develop organically. and of how allowing silences to occur can inspire further philosophical explorations among the children. (shrink)

We reduce to a standard circuit-size complexity problem a relativisation of the $P = NP$ question that we believe to be connected with the same question in the model for computation over the reals defined by L. Blum, M. Shub, and S. Smale. On this occasion, we set the foundations of a general theory for computation over an arbitrary structure, extending what these three authors did in the case of rings.

An examination of tool marks and other evidence of manufacturing techniques on two astrolabes of identical pattern made by Hartman of Nuremberg in 1537 shows that all of the parts have been laid out with scribers and filed to final dimensions. All parts except the rings of the maters, which are castings, are made of sheet brass. The only machine tool employed was a small lathe with longitudinal feed, which was used to turn the diameters of the pins. Corresponding dimensions (...) of the two astrolabes differ by less than 0·2 mm on average, but parts are not interchangeable between the instruments. There is evidence that this pattern of astrolabe was made in batches with division of labour in Harman's shop. This paper is an introductory study intended to show methods of examination that reveal manufacturing techniques. (shrink)

Quo usque tandem abutere, Catilina, patientia nostra?. The famous incipit—‘And what are you reading, Master Buddenbrook? Ah, Cicero! A difficult text, the work of a great Roman orator. Quousque tandem, Catilina. Huh-uh-hmm, yes, I've not entirely forgotten my Latin, either’— already impressed contemporaries, including some ordinarily not so readily impressed. It rings through Sallust's version of Catiline's shadowy address to his followers, when he asks regarding the injustices they suffer : quae quousque tandem patiemini, o fortissumi uiri?. More playfully, and (...) less well-known, Sallust employed the expression again in a speech by Philippus : uos autem, patres conscripti, quo usque cunctando rem publicam intutam patiemini et uerbis arma temptabitis?. Soon afterwards it served Cicero's son, who, as governor of Asia, put down Hybreas fils for having dared to quote from his father's work in his presence : ‘age’, inquit [sc. Marcus Tullius], ‘non putas me didicisse patris mei: “quousque tandem abutere, Catilina, patientia nostra”?’. Just about the same time, Livy recalled it in order to colour Manlius’ exhortation of his followers : quousque tandem ignorabitis uires uestras, quas natura ne beluas quidem ignorare uoluit? … audendum est aliquid uniuersis aut omnia singulis patienda. quousque me circumspectabitis?. Thereafter Quintilian would refer to it twice, when discussing apostrophe and rhetorical questions, just a couple of years before Tacitus has the maladroit Q. Haterius encourage Tiberius to seize the reins—quo usque patieris, Caesar, non adesse caput rei publicae? ; a few decades later still, Apuleius puts it into the mouth of the slave who chastises his master, now in asinine form : ‘quo usque tandem’, inquit, ‘cantherium patiemur istum paulo ante cibariis iumentorum, nunc etiam simulacris deorum infestum?’. He trusted, no doubt, that the famous question would alert his readers more than anything to the many ‘similarities between Catiline and Lucius’, in order to have them appreciate this ‘ludicrous copy of Cicero's arch-enemy’. Some time after, and in a different corner of the Empire altogether, a teacher's bronze statue would carry the inscription:VERBACICRO | NISQVOVSQ | TANDEMABVTE | RECATELINAPA | TIENTIANOS | TRA. (shrink)

The ratio of index- and ring-finger lengths is thought to be related to prenatal androgen exposure, and in many, though not all, populations, men have a lower average digit ratio than do women. In many studies an inverse relationship has been observed, among both men and women, between 2D:4D ratio and measures of athletic ability. It has been further suggested that, in hunter-gatherer populations, 2D:4D ratio might also be negatively correlated with hunting ability, itself assumed to be contingent on (...) athleticism. This hypothesis has been tested using endurance running performance among runners from a Western, educated, and industrialized population as a proximate measure of hunting ability. However, it has not previously been tested among actual hunter-gatherers using more ecologically valid measures of hunting ability and success. The current study addresses this question among Tanzanian Hadza hunter-gatherers. I employ a novel method of assessing hunting reputation that, unlike previous methods, allows granular distinctions to be made between hunters at all levels of perceived ability. I find no statistically significant relationship between digit ratio and either hunting reputation or two important hunting skills. I confirm that Hadza men have higher mean 2D:4D ratios than men in many Western populations. I discuss the notion that 2D:4D ratio may be the consequence of an allometric scaling relationship between relative and absolute finger lengths. Although it is difficult to draw clear conclusions from these results, the current study provides no support for the theorized relationship between 2D:4D ratio and hunting skill. (shrink)

Das Buch "Der kleine Hobbit" gilt als Vorläufer der wichtigsten Fantasy-Bücher aller Zeiten - den drei Bänden von "Der Herr der Ringe". Mit diesem Buch über die Abenteuer des Hobbits Bilbo Beutlin, zusammen mit 13 Zwergen und dem Zauberer Gandalf, schuf J.R.R. Tolkien schon jene Fantasiewelt, die uns alle später beim "Herrn der Ringe" nachhaltig beeindruckte. Elben, Trolle, Orks und ein Drache halten kleine und große Leser schon seit Jahren in Atem. Man stelle sich folgende Geschichte vor: Ein Mensch wohnt (...) in einer Höhle und lebt dort ein ruhiges, geordnetes und unaufgeregtes Leben, das schon seit Geburt an in den gleichen Bahnen verläuft. Eines Tages verlässt der Mensch seine Höhle und geht hinaus in die Welt. Dort sieht und erfährt er Dinge, die ihn nachhaltig verändern und reifen lassen. Er wird nach dieser Reise nie wieder derselbe sein wie vorher. Es ist nicht ungewöhnlich, wenn das bekannt klingt: Es handelt sich dabei um Platons Höhlengleichnis - eines der wichtigsten Gleichnisse bzw. Beispiele der Philosophie, genauer der Erkenntnistheorie. Die Handlung passt aber auch genau auf die Geschichte eines anderen Autors: J.R.R. Tolkien und sein Buch "Der kleine Hobbit". Auch hier verlässt eine Person (der Hobbit Bilbo Beutlin) die sichere und geordnete Umgebung des Auenlandes und zieht in die Welt hinaus. Diese abenteuerliche Reise wird ihn verändern und - wie wir alle wissen - mit dem Fund des EINEN Ringes für Mittelerde weitere große Folgen nach sich ziehen. Es ergibt also Sinn, den "kleinen Hobbit" mit seinen Inhalten unter der philosophischen Linse zu betrachten. Es ist nicht nur eine Kindergeschichte, sondern eine Auseinandersetzung mit Werten wie Mut, Freundschaft, Demut, Gnade und Weisheit - um nur einige zu nennen. (shrink)

Vaesen's description of uniquely human tool-related cognitive abilities rings true but would be enhanced by an account of how those abilities would have evolved. I suggest that a process of technological selection operated on the cognitive architecture of ancestral hominids because they, unlike other tool-using species, depended on tools for their survival.

Growing evidence suggests that natural environments – whether in outdoor or indoor settings – foster psychological health and physiological relaxation, indicated by increased wellbeing, reduced stress levels, and increased parasympathetic activity. Greater insight into differential psychological aspects modulating psychophysiological responses to nature-based relaxation videos could help understand modes of action and develop personalized relaxation interventions. We investigated heart rate variability as an indicator of autonomic regulation, specifically parasympathetic activity, in response to a 10-min video intervention in two consecutive studies as (...) well as heart rate. We hypothesized that a nature-based relaxation video elicits HRV increase and HR decrease, with response magnitude being affected by aspects of early life adversity and trait mindfulness. In Study 1, N = 60 participants watched a relaxation video intervention depicting different natural scenery. We analyzed changes in HR and respiratory sinus arrhythmia as a standard HRV measure, both based on 3-min segments from the experimental session, in multiple growth curve models. We found a decrease in HR and increase of RSA during the video intervention. Higher paternal care and lower trait mindfulness observing skills were associated with higher RSA values before but not during video exposure. In Study 2, N = 90 participants were assigned to three video conditions: natural scenery from Study 1, meditation video, or short clip from “The Lord of the Rings.” Again, HR decreased, and RSA increased during video segments, yet without expected group differences across different video types. We found higher parental care and lower parental overprotection to predict higher RSA at different times during the experiment. Interestingly, lower paternal overprotection predicted overall higher RSA. These results suggest a generic relaxation effect of video interventions on autonomic regulation that we discuss in light of different theories mapping restorative effects of natural environments. Further, psychological characteristics like aspects of early life adversity and trait mindfulness could contribute to individual differences in autonomic regulation. This study contributes to a better understanding of autonomic and psychological responses to relaxation videos. (shrink)

Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form—where form could be a tree, ring, chain, grid, etc.. Although this approach can learn intuitive organizations, including a tree for animals and a ring for the color circle, it assumes a strong inductive bias that considers only these particular forms, and each form is explicitly provided as initial knowledge. (...) Here we introduce a new computational model of how organizing structure can be discovered, utilizing a broad hypothesis space with a preference for sparse connectivity. Given that the inductive bias is more general, the model's initial knowledge shows little qualitative resemblance to some of the discoveries it supports. As a consequence, the model can also learn complex structures for domains that lack intuitive description, as well as predict human property induction judgments without explicit structural forms. By allowing form to emerge from sparsity, our approach clarifies how both the richness and flexibility of human conceptual organization can coexist. (shrink)

We characterize strict Mittag-Leffler modules in terms of free realizations of positive primitive formulas, and rings over which projectives are trivial in terms of various notions of separability of strict Mittag-Leffler modules. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

We say that a ring admits elimination of quantifiers, if in the language of rings, {0, 1, +, ·}, the complete theory of R admits elimination of quantifiers. Theorem 1. Let D be a division ring. Then D admits elimination of quantifiers if and only if D is an algebraically closed or finite field. A ring is prime if it satisfies the sentence: ∀ x ∀ y ∃ z (x = 0 ∨ y = 0 ∨ xzy (...) ≠ 0). Theorem 2. If R is a prime ring with an infinite center and R admits elimination of quantifiers, then R is an algebraically closed field. Let A be the class of finite fields. Let B be the class of 2 × 2 matrix rings over a field with a prime number of elements. Let C be the class of rings of the form $GF(p^n) \bigoplus GF(p^k)$ such that either n = k or g.c.d. (n, k) = 1. Let D be the set of ordered pairs (f, Q) where Q is a finite set of primes and f: Q → A ∪ B ∪ C such that the characteristic of the ring f(q) is q. Finally, let E be the class of rings of the form $\bigoplus_{q \in Q}f(q)$ for some (f, Q) in D. Theorem 3. Let R be a finite ring without nonzero trivial ideals. Then R admits elimination of quantifiers if and only if R belongs to E. Theorem 4. Let R be a ring with the descending chain condition of left ideals and without nonzero trivial ideals. Then R admits elimination of quantifiers if and only if R is an algebraically closed field or R belongs to E. In contrast to Theorems 2 and 4, we have Theorem 5. If R is an atomless p-ring, then R is finite, commutative, has no nonzero trivial ideals and admits elimination of quantifiers, but is not prime and does not have the descending chain condition. We also generalize Theorems 1, 2 and 4 to alternative rings. (shrink)

Don't tell terrible stories—everyone here has enough of their own. Everyone here has a whole bloody sack of terrible stories, and at the bottom of the sack is a hammer the narrator uses to pound you on the skull the instant you dare not believe your ears. Or to pound you when you do believe. Not long ago I saw a tomboyish girl on Khreshchatyk Street demand money of an elderly woman, threatening to bite her and infect her with syphilis. (...) Don't stroll through Volodymyr Hill Park, don't stroll around the botanical garden, and especially don't stroll on Kontraktova Square. Don't stroll anywhere. Don't go to the pavilion with the Golgotha panorama near St. Alexander's Church. Not even the twelve-meter-tall crucified Christ will save you. Don't go outside when it's dark and people turn into shadows a shade darker than dark. Also don't go where you can be seen from far away. Not to imply that people used to be like a bunch of lilies, but now they stink like a cellar of cabbage.The city, which earlier might have had some fun, is now going crazy. It's like a fish in warm water: it doesn't react to anything, swims slowly like it doesn't care if it swallows a hook or not. The excitement and exaltation pass into oppression, just as our necks have sunk into our shoulders, our shoulders into our lumbars, our lumbars into our nether regions. The holiday turns into a funeral, the parades into explosions, depression into mania. Winter passes into summer, people turn into beasts, the hours into ages, and the ages into hours. It's worth simply walking around the city to see a soldier from an unknown army taking a piss near the opera. Farther on is a row of identical old widows selling ball gowns and candelabra. Then there are the aristocrats and manufacturers who throw so much at the prostitutes that they'll soon be richer than their wives.I returned late through the Kyryliv Wood, not heeding all the warnings that I myself have given here. It really is dangerous—the place is famous for it. There's a madhouse nearby, caves where criminals and the sick can hide out. Also, once upon a time, as they say in fairy tales, the great dragon Zmei Gorynich lived here beside the Puchai River. The stench in these places drives away the most committed misanthropes and even one type of philanthrope—that is, perverts. It sounds dumb, but the stench is cleansing. I don't know where it comes from. After the operating theaters and the rooms with amputees, the stench no longer repelled or attracted me; it just was. And this was a great place to think. As I walked, I considered an incident with our patient.The patient, a respectable individual whose name carries too much weight for me to state it directly, one day began to assault people. He nearly strangled a merchant who he believed asked too much for a beaver coat. He likewise wanted to kill his business partner when he didn't say hello loudly enough. But the worst was, he lost all shame of his own nakedness. At first it was the police who took care of it. When our future patient slipped off his pants and undergarments, he was taken to Kyrylivska, which has had means for dealing with such cases dating back to the day when unhinged Cossacks and composers from Kyiv Mohyla Academy were taken there.During the examination we determined that the patient was experiencing a severe breakdown. His wife added that lately, more than once, he had allowed himself strong words in front of the children and often suffered from ennui. Furthermore, she said, the patient had been undergoing treatment for “the French disease” for some years—which was, obviously, where we needed to start.“Syphilis!” Skorsky spat out the matchstick he was chewing on. He was a specialist on the psychological aspects of diseases related to the venereal. “Tertiary syphilis! When poorly treated, over time ‘the French disease’ can destroy the central nervous system. Hence the patient's chicanery. Such theater!”Skorsky and I had not spoken since the incident at Bilinsky's. Meanwhile, something significant had happened to him. The most boring person on earth, Skorsky had simply caught fire. He said hello and kibitzed. I even heard the doctor got drunk alone in his office, then wandered through the forest. Could he be using narcotic substances?“Cocaine!” was the doctor's second proclamation. It was his favorite treatment for the psychological complications of syphilis. Skorsky himself never took what he called “the universal drug”—good for alcoholism and toothaches, neuroses and morphine dependency—though he had read in an article by a respectable Viennese physician, who used cocaine as a panacea, that it was not addictive. That doctor subsequently recanted, but Skorsky paid no attention. He believed the retraction was made under pressure from pharmacologists who had no incentive to cease production of the medications that cocaine might supplant. Their representatives either paid or threatened the Viennese to repent.As the patient was escorted to his room, he assaulted the orderly, Alevtyna. They tried pulling him off her, but, though he released his fingers from her neck, he buried his teeth in her leg. The poor orderly, who had not until then been attacked by a psychotic, nearly died of fear. Later, panic set in over Skorsky's diagnosis. He told her about the consequences of syphilis: grotesque patterns on one's face due to infection of the skin, mucous membranes, cartilage, and bones. He went on about the devastation to the central nervous system, which they had just observed in real life: “The face starts to look like lace some mangy dogs fought over before rolling in the mud.”Alevtyna, who had not yet regained her faculty of speech, straightened up. Ignoring the slavering male orderlies, she bared her leg to get a better look at the wound. She then ran down the hall and out into the garden, where she fell on the ground to rip up grass and small bunches of daisies. Alevtyna ate them along with the soil in their roots.“Minor hysteria. She needs fifteen milligrams of cocaine.”Skorsky took a snuff box out of his pocket and scooped up some white powder with a toothpick made from a goose feather. He gave the order to close Alevtyna's mouth and one of her nostrils, forcing her to snort the medication.We fretted over her so long that evening fell. I decided to walk down, along the ravine, behind the church.It was unlikely there were any large beasts there, but something was rustling. The pits and mounds, ravines, paths, graves of witches whose living sisters flew in the treetops from time to time, the whispers of the forest spirits, the spirits of the nutcases who died in the hospital, the spirits of the monks from the St. Cyril Monastery, Zmei Gorynich and the bogatyrs who wanted to defeat him. The city would be calmer without this forest. I saw the gaps between the trees and went off in the direction of the tram tracks.As I was coming out of the forest, there was a patch of Amanita muscaria that had been trampled into porridge. A bit farther on, the body of Professor Bilinsky lay killed in the blackberry bushes. The way he was lying it looked as though he had not struggled before death. I quickly examined his body but saw nothing out of the ordinary. There were no wounds, no dirt under the fingernails. Animals had not yet smelled the carrion, but swarms of various insects covered him. Oh, why did I have to find the putrid body?The best thing would be to take the tram to his house to inform his relatives. The doors closed, and I noticed my own calm. This death had not evoked any emotions in me other than a feeling of responsibility, the need to tell the family. But also—some alarm at the thought of who the murderer could be. I knew that it was murder.“Your nose is bleeding.” A woman as round as an onion, carrying two baskets full of strawberries, offered me an ironed and starched handkerchief.“Have I dirtied my shirt?”“No, it's as neat as a pin. It's just your nose that's dirty. Wipe it now before you spray blood on my strawberries.”“No one will see the red on red.”“Ah, but it's salty!”“You know why it's not sweet? We'd drink it like syrup.”“Those with Christ in their heart do not talk that way.”“Are your strawberries expensive?”“Why? What?”“I'm checking to see if you have God in your heart.”“Child, if you knew how I have to work for this berry! I have to weed it a hundred times. In a week, the quitch grass grows as high as a horse. And I water it with water I carry from the stream, it kills my arms... ”“How much are the berries?”“They're not for sale. Anyway, soon money won't mean a thing. Soon all money, all these papers made from the skins of sinners on their satanic presses will be annulled. What matters is how we treat each other.”“So if I try your strawberries for free, my ‘thank you’ will be enough?”“Hands off!” she said and thwacked my fingers.I heard loud laughter behind me—same laughter as from the café near the Continental. There was no one sitting near Alina. (This is what fate looks like, remember.) Without asking, I sat next to her, away from the old lady.“Excuse me, but the night before last didn't you, yes, didn't you intrude on my privacy?” She started right away.“I saw it a little differently. Who was that young man with the mustache who paid me for you?”“Are you checking to see if you can flirt?”The tram stopped. People got on and off.“Are you coming back from the hospital?” she asked. “Don't be shocked. My uncle works there. He's told me all about you.”“An uncle by the name of Skorsky?”(Remember: this is what fate looks like.)“Yes. Skorsky's been strange recently—says things that make me wonder if he hasn't lost his mind. Have you noticed anything?”“I don't know.”“You know perfectly well.”“Where are you going?” I tried to change the subject.“I have to send something to my theater friends in Odesa. By the way, they'll be putting on Oedipus Rex soon in Kyiv—in Ukrainian.”“Greek tragedy in Ukrainian! That's a first.”“Exactly. The troupe is rehearsing now in Odesa. The theater where they will perform this fall is being remodeled.”“Wait. Now I remember where I've seen you before—it was at a performance! Vynnychenko's Black Panther and White Bear, at the Bergonier on Fundukleivska.“The same director is doing the Oedipus. He's my friend.”“He's your friend in what sense?”“Again with that tired subject. By the way, I've been thinking about you.”“And I about you.”“That's good. I was thinking not about you, to be precise, but about that elevator you invited me on.”“Who was that man with you?”“Like a broken record! Even if he had been my fiancé, I'm not bought or inherited. I'm not a brooch or a hundred acres of land, and I'm not a house in Kaniv!... Who was with you when you saw Black Panther?“Ah, so.”“Answer!”“That was my mother. She looks very young. She is coming to Kyiv the day after tomorrow. I can introduce you.”“Oh, this is my stop.”I looked out the window and realized that I had long since passed the stop for Bilinsky's.“Can we see each other again?”“We can. But you have only one chance.”Alina the anarchist wrote something on a scrap of paper and handed it to me.Morning, not morning but a thick porridge (I hate porridge). Dew, thick spit, crushed fruits, urine, all on the sparkling cobblestones. The sun, just barely having made its appearance, is already scorching. The human masses scurry and grumble like poorly digested food inside a stomach.I walked diagonally across St. Sofia's Square, then along the perimeter, then one edge, then again diagonally across. I went underground. The basement café of the Continental Hotel was practically empty. I again asked the server to bring the cloth with the embroidered portrait, but I couldn't remember the musician's last name, only that it ended with -sky. The server said that -sky was currently in the southern cities of Yalta and Odesa. I added that Kurbas, the director, Alina's friend, was also in Odesa, rehearsing Oedipus Rex, and that he'd previously put on Black Panther.I was bored, so I walked along Khreshchatyk and then headed down, calling to mind all the Kyiv churches of Podil: there's Birth of Christ, St. Nicholas on the Shore, Intercession, Pyrohoshcha, Holy Presentation, St. Dymytrii Rostovsky, St. Illia's. And also the Epiphany Brotherhood Monastery, Ascension Convent, and St. Katherine's, all these whipped-cream churches on the waffles of our streets. A few of them reminded me of themselves by appearing suddenly out of nowhere.The smells on Kontraktova Plaza where commerce buzzed were like multicolored light bulbs turning on one after another. Here you could catch the aroma of Balabukha jam, which blended with the next smell, English shoe polish at the Raiskys’ shop. Then the crunchy-smelling cabbage from old women standing in a row like herons and spitting out the shells of sunflower seeds. Farther on, the stench of a good-sized rat that crawled under Mrs. Shevchuk's shop where she sells broadcloth. Oh, she can't scream: no, she'll quietly dig that rat out herself so as to not scare off her clients.I bought a paper and two pairs of underwear. I asked two laughing young chambermaids who were secretly puffing in a grape-filled yard for a smoke. I wandered around Podil until evening when I came across a sawmill near the Dnipro that surprisingly smelled pleasantly of mazut fuel oil. The weather was dry, yet in the middle of the road was an enormous puddle, a deep dark black. A forty-year-old woman in a pale pink dress stood near it. The theatricality of it all provoked me to pose her a question,“Ma'am, what should I do?”But she paid me no attention. I shouted,“What should I do?”“What to do, what to do?” she said in Polish. “Jump in the water and swim so far away that you cannot return.”I quickly crossed a section of the forest. The wind brought a mixture of unpleasant air, like a stinky handkerchief held under one's nose. Passing the trees, I saw light in the spaces between them and exited at the hospital.Outside the windows, two orderlies lay in chairs with their heads thrown back. Two others—fools—ran around the yard in different directions, peering out at... something. The lights on the first floor of the hospital were on, and the staff milled about.“You're just in time!” said Ivan, a tall, young orderly.“For what?”“Your patient ran away! We went into his room and he wasn't there.”“What patient?”“The one who bit Alevtyna,” said Danylo, the other orderly, short and middle-aged.“That's Skorsky's patient, not mine.”I had no intention of helping them. This was all history—like my family, Kyiv, and my previous life. I had no intention of thinking about it. I wanted to go to my office, pack up my field surgery kit, and get out. So what? Their psychotic syphilitic ran away—it happened.Of course, that patient could have something to do with Bilinsky's murder. But that was no longer my problem.“What a strange coincidence!” the doctor on duty said. “Comrade doctor, the other one responsible for this patient was just here.”“And where is he now?”“He took off toward the church to look for the patient.”“Didn't the patient escape earlier?”“Don't know.”“How do you not know? You had better call the police, moron, before he kills someone. And get those sleeping orderlies to look for him.”“They can't... ”“Why not? Should I go wake them?”“They're on morphine.”“And you, I can see, have lost your mind. Go, catch your psycho! If it turns out that he killed Bilinsky—and on your watch—you can't imagine what's in store for you.”I adjusted my homburg and set off in the direction of St. Cyril's, that unwelcoming monolithic cube. I glanced around—what if our escaped syphilitic were to jump out of the bushes and bite or strangle me. I looked around because I wasn't sure of my actions, wasn't sure of my choices. Tripping over a clump of clover, I reached the open doors of the church. I couldn't stop myself from going in.The walls and ceiling were covered with frescoes. There was what used to be an angel rolling up the sky on the southern column of the narthex. But also graffiti: people scratched their names on it so as not to be forgotten—their idea of eternity. Prince Volodymyr the Great compared this activity to the desecration of graves. The vandals paid a fine and were beaten with canes. During the raids of Batu Khan, the church was deserted and cracks appeared all over it. Wild martens and feral dogs sought shelter here; insects swarmed under the ceiling with its red mosaics. Birches grew in its midst. Water seeped in the cracks, the water became ice, the ice widened the cracks, more water seeped in the cracks, becoming more ice that further widened the cracks, the wall split and nearly fell over, and then the wall fell over. Yet the angel is still rolling up the sky... When I reached the exit, I heard a rustling behind me. I turned after I stepped outside: in the depths of the church, like a stick in a pot of tar, stood a man with a large bag thrown over his shoulder and a revolver pointed right at me.“Is that you, Doctor?“Don't move!”“What's... Skorsky, what's with you?”“Don't move, I say!”“What are you doing here?”And finally I understood... Skorsky was himself the psycho! (Really, I had known for a while.)“You are the murderer! I knew it! But—why?”“Shut up.”“It was you. You! The stolen cigarettes, the strange behavior, Bilinsky. If I shout, everybody will come running. They've already called the police!”There was heavy breathing behind me. And then a gun rang out.The city is overgrown with new buildings. They encircle everything that was once on the periphery. Kyiv has become an old lady that can no longer restrain herself in the face of pastries. The city climbs farther. It steps over the swamps, turns the old rivers into a series of lakes; the other bodies of water it drives into canals. The grain that falls from the wild wheat is black. When the sun heats it, the grain melts and trickles into the earth. St. Cyril's stands indestructible. No one spackles the small cracks in its walls with either expensive putty or glues, nor with cheap cement and whitewash. One day a small fox appears in the doorway. It runs inside and along the floor of simple gray tiles. The gods watch from the walls, watch and fall into ruin. The fox runs to the iconostasis. Before it is a time-darkened Virgin Mother and Child in oil on sheets of zinc. The fox runs the metal steps that wind up to the second floor. The fox runs past all the vaults, naves, all the frescoes. A buckthorn seed flies in through a broken window. It will be the first. Soon the buckthorn will grow everywhere. A dumb hare will make its nest in the buckthorn bushes and nightingales will settle in the upper branches to sing until the end of the world. The fox runs between the thick rays that penetrate the windows. It catches one of the rays, squints its eyes, and warms itself in the sun.The shot rang out, but I did not fall. I looked around—and on the church threshold was our syphilis patient bearing a rod. His head lay on the rocks by the doorway.“If only he'd been at the stage of nose deformity! Just imagine: a hole instead of a nose plus a hole from the bullet—like an extra pair of eyes!” Skorsky laughed at the corpse.“We need to call the orderlies.”“They heard the shot. They'll run here on their own. You see, Professor Bilinsky believed it would take two or three years to wrap up this patient's case,” Skorsky told me. “But I took care of it much faster!”“Excuse me, but I'm going crazy in this city. I thought that you were Bilinsky's murderer.”“Just so. Why not? I am Bilinsky's murderer.”“Don't tease. You've changed a lot recently, so... ”“Yes, I've started killing people. You might term such a change significant.”“You have the right to irony.”“I am not being ironic.”“Let's call it sarcasm.”“It's the honest-to-God truth.”“And yes, you have the right to mock me.”“Well then, let's be done. To the horses!”“What horses?”“Alina's waiting!”Alina, her uncle Skorsky, a few others I didn't know, and I rode like the wind that ripped off my homburg and carried it back to Kyiv.“There's a fresco in the choir loft at St. Cyril's where Vrubel painted himself and patients from the hospital as the apostles. When I came across it by accident, I really believed they were saints,” Alina said.“I've never been up there. I've only seen the church from below.”“Remember the way back so you can see it sometime.”“The Puchai River used to flow here. You shouldn't trust the landscape,” Skorsky said, reaching for something, perhaps his bag, just when we left the darkness of the trees and saw the endless steppe ahead of us.We rode all night without stopping. Though no one was chasing us. Though we had nowhere to be. We rode like beasts released from a cage. The promises of the horizon turned what we'd left behind into a cage fit for those from whom freedom had been severed, like an anomaly, at birth.The pre-morning sky looked at first like a sack of turnips—filled with something heavy. But with each verst, the sky became lighter. When it was finally light enough to see clearly, we arrived at a knoll at the foot of a stone wall that from a distance had appeared to be a gigantic piece of halva. The exterior ruins of the castle gave no hint of how it was when all was fine here, when people defended themselves successfully from the nomads’ raids. From far off, the wreckage looked like a natural agglomeration of stones—a rocky elevation, no more: a cluster of cliffs. It would rain a few hundred more times, a few hundred more winds from a few hundred directions would blow on this heap, and it would collapse as though nothing had ever been here.A few stalks of wheat grew from one of the rocks. Someone had probably cast a handful of grain here for some birds that forgot to eat it.“Who could this castle belong to?” I asked Skorsky.“I reckon the Swan Princess,” the doctor rejoined, hoping to sound knowledgeable.From behind one of the piles of gray sandstone emerged a young man in a black reptilian coat and a white papakha as lush, bright, and out of place as a dahlia. His name was Artem. The heat was melting our brains, but he was dressed like that, in rooster fashion, which was popular among the otamans. Artem helped Alina dismount her horse and tried to kiss her on the lips, but she offered him a cheek instead.Had she been racing to see this clown?We entered the yard—the ruins had fashioned an internal space that was more or less protected, at least from strangers’ eyes. It turned out that there were even places where it was possible to hide from the rain, and from there the ruins didn't look half bad.In the center of the court was a table, and on it a wooden bucket with pink gladiolas. How romantic! It all looked like it came from outer space. Where on earth, in the middle of the steppe, far from any village or town, did this table, this simple table, come from? And the gladiolas? The steppe hadn't been plowed in so long that any cultivars would have gone wild, degenerated, dried up completely.A campfire crackled nearby—a little preview of what we would soon do to the houses, villages, and cities. Artem the otaman brought over a cezve from the fire and poured the first portion into a small, copper cup for Alina. He also got out a porcelain cup with images of rosy cherubim—but how...?“Who else would like coffee?”Only Skorsky and I responded. The question excited me, even distracted me from the thought of the kiss I had recently witnessed and the Kyiv I had recently left.“It's obvious who the professors here are; cultured people drink coffee. Are you both doctors?”“Uh-huh.”“For wolves of the steppe, like us, doctors are gold, even more precious than gold. Actually, a Hippocrates like you should eat more, because those in your profession will soon be worth your weight in gold. Work on your figures, both of you.”“Who will take pity on the horses that have to carry us?”“We'll find the horses. And very large doctors can be transported on machine-gun carts. We'll need to seat the otamans near you. Only a fool would shoot at a doctor.”“I think we'll find quite enough fools here.”“With your beard, Doctor, you look like Tsar Nicholas II. But even so you won't be shot. You might even be canonized!”“We've only just arrived and you're going on about executions,” Skorsky grumbled and checked to make sure that he still had his bag.“Apologies, apologies, pardonnez-moi. But you are not merely a doctor. A venereologist! Skorsky, you're a specialist! A venereologist is the most important person in wartime. The most valuable! You are the botanists of war. You can't imagine what varieties of flowers grow here, and these beds have long awaited a proper gardener. Or even just a man with a scythe!”“Bite your tongue,” Alina said. “I don't need to listen to this.”“Yes, yes, of course. Excuse me, my r—. ” He almost said “rose.”We rested all day. We went down to a surprisingly close river overgrown with lilies. We rowed the boats left by fishermen. I talked to Skorsky. He took his bag everywhere, refusing even to swim so he wouldn't have to part with it. I asked him what he had in it, but he said it wasn't my damned business.Alina rowed with the otaman to the middle of the river. They were having a loud discussion. She was waving her hands. The current carried their boat downstream slowly and smoothly. What a nuisance, that current!I tried to meet with Alina one-on-one, but she was avoiding me. In the morning I was confused, by lunch I was sad, and after lunch I got angry.In the evening, I lay on the hot grass and drank another cup (I have no idea where they got such good coffee), which had no effect at all on my sleep. I watched the Perseids. Every year, the Earth passes through the tail of Comet Swift-Tuttle. People can see the meteor shower and make a wish. I wished. I counted forty-seven falling stars. All forty-seven of my wishes were for the same thing.Around the campfire, they were sitting, talking. I saw how he tickled her face with a piece of grass and she brushed him off in annoyance. Then they were screaming at each other. Later they again spoke kindly, after which they again quarreled. My joy grew after each tiny mistake that Artem made. I wanted him to show the worst he was capable of.They were screaming at each other, but all I could hear was beautiful opera singing. The stars fell to the sound of their screaming. The stars blessed my joy.Then this happened: Alina kicked the fire, scattered burnt kindling, and burned some of the grass. Artem grabbed her by the arm, but she broke away from him and ran off to the horses.“Go then! I guarantee you'll get to Katerynoslav and return with your tail between your legs.”“I'm going to Huliai-Pole! To Father Makhno!”I jumped up and ran after her.“Where do you think you're going?” Artem shouted.Really—where was I going? I was going after her: to Huliai-Pole, to Katerynoslav, to Rome, to Washington, to Istanbul, to Montevideo... “Go to sleep,” he said. “Come morning, this coquette will be here, right as rain. We've already been through this show. Tomorrow she'll be right here next to my boot!”... No, she won't.In some sort of shape we entered some town. There were some buildings that were some colors, some trees, some streets, some roads, and some signs. Posts, flustered birds’ nests, echoes, colors, shapes—each of some kind. A wedding procession was coming toward us. If you want to make orange, you need to add yellow to red, and then bam—it's black. If you want to salt the soup, shake in a little, and then bam—two handfuls. You want to say a kind word, and then bam—a punch in the face. I was rocked around like a watermelon on a boat and threw up my breakfast straight into the horse's fluffy mane. Sanko found this hilarious, but I said I'd pulverize him. So Sanko sped ahead.No one knew anything about Alina. The daytime sky was like a poorly washed bowl. The sun was a squashed, rotten apricot. The night sky looked like the sole of a boot to me. The moon was a dirty cheap copper coin that had gotten stuck to the sole. Everything seemed spoiled to me, irrelevant, unnecessary. Without her, this journey was a waste of time.“You'd better stay away from everyone,” Artem said. “You'll infect us with your pining, and pining is worse than the clap.”The wedding procession was before us. The young couple, still utter children, walked so calmly it was as if they didn't see us. As if we were made of a light breeze—our bodies, clothes, our horses and their iron shoes—of the lightest gasses. As if we were visible only to ourselves and the coal-black dog that barked, panting and gasping.The wedding was headed straight for us. We were in the middle of the road, and so were they. We approached each other slowly, a wave going toward a wave. Some ten meters before their indifferent faces, I noticed the color of the bride's eyes. And the coral-colored tulips that fell on the road before her. Round goose eggs on meaty stems, the flowers were falling and falling before her. The bride's eyes were almond shaped.“Hey there,” Artem shouted at me. “Wake up!”I came to and saw the whole village, everyone there, not realizing my group had turned left onto a side street away from the procession. The tulips disappeared—where'd they get tulips in the fall? I was sitting alone on my horse in the middle of the road, and the entire wedding procession came to a stop. I moved to the side, and the throng marched on, cutting off our escape route. We rode a few more meters and came across the synagogue.“You know what, you're right,” said the otaman.“Who is?”“Oleksii is the only one here who's right.”“About what?”Artem turned his horse and raced back. Everyone stood still while he ran his horse into the crowd and began firing his revolver. People scattered in all directions. Artem trotted, cackling like an imbecile. The horse kicked an old guy in the mouth. The man fell, spitting out his gold teeth. We rode up to the commotion and formed ranks, but none of us wanted to join the otaman.The bride stopped in the middle of the street. On both sides were buildings and trees, as well as dust, sky, and sun. She stood still, beautiful, as if nothing had happened. Then she adjusted her garland and walked calmly on.“Well, should we get some sugar now?” Artem laughed, looking at the bride, and off he went toward the sugar factory.It was then I noticed that all of the houses had shutters—fuchsia, blue, ocher—and that all the shutters were closed.We flew toward the dirty building, whistling and shouting. If there had been aesthetes among the otamans, they would certainly have razed the abomination in this field after seizing it. They would have spread soil on top and sown buckwheat. Long live buckwheat!, that wonderful crop. Like hunting dogs hot on the trail, we raced to our defenseless victim, with the baying of hundreds of hounds behind us. The field shook beneath us. We became an artist's canvas, evolving from Realism to Romanticism, Romanticism to Expressionism, Expressionism to Suprematism. If we had been painted in black and white, we would have been splotches (until the ink ran, annihilating all remaining patches of white).Two men stood near the gate—unarmed and undressed, in nothing but their undershirts and boots. Our fervor, our kinship with the elements, our entirety, were all for naught.“Jesus Christ! What bores!” Artem exclaimed. “How boring you are!”“Maybe boring for us, but fireworks for them,” Sanko said, dismounting his horse.“The fear of death engenders creativity,” our otaman—a distinguished philosopher of the early twentieth century, that demonic breed—prophesied.He went on, “Excuse me, but with all due respect, we are not going to search you. Just show us right away where the money is. Why are there so few of you? Don't say there's not much money. I want piles and piles of money! If you don't show it to us, we'll print our own on your skin. Believe me, we will.”We entered the factory grounds. There were no workers, only an enormous mountain of sugar beets that looked like a pile of coal from a distance and a pile of dead rats from up close.“So, did you have a good year?” Artem asked a man in an undershirt.“Not really—too dry.”“Nah, that's fine. You wouldn't have been able to gather most of the harvest this year anyway. There's a fire burning across all of Ukraine, all of Russia. The whole world!”While Artem tossed thoughts like well-chewed sunflower seeds into the crowd, the two men quietly stepped aside and then ran fast ahead to the factory's main hall. The gigantic door slammed shut. The gate was locked behind us! The windows were smashed! The factory roared from inside like a cumbersome machine starting up. Bullets whirred through every window.“Bastards! It's a trap! Quick, after me!”Still on horseback, Artem bounded over to a vast window, low to the ground, and smashed it mercilessly. He broke the frame and jumped inside on his horse. I and a few others followed. We broke into their lair, threw open the doors, and let the other warriors inside.Iron vats of hot sugar were steaming, pipes were clattering; machinery groaned.“Parasites!” Artem gritted his teeth. “I'll get you. I'll get you red sons of bitches. Painted whores!”At the word “painted,” his horse fell to the ground. Lying prone, Artem continued fighting, but the red soldiers wouldn't let him stand. Fighting nearby, I rode over to assist but did not know where to aim. Artem got up, ran forward, and brought his sword down on the head of the closest soldier, all the way to the middle of his skull, to the bridge of his nose. It was like butchering a pig. Artem thrust the sword into the buttock of another who was fleeing and cut off his leg at the bend in the knee.“I'll cut off every last one of your asses! Cut off your asses!” Artem bellowed.A half hour later, the dead were lying, the captured sitting, and the victors doing anything they pleased.“Skorsky, are there a lot of casualties?” I asked the doctor, whose hour it was. I hoped not, because I was too tired to help him.“Just a few. The dead are already dead, and the wounded are not ours.”Though Skorsky rarely asked my help, and though I'd become an ordinary soldier, the doctor in me was still present in the most unpleasant attribute—knowledge. Others saw an eviscerated man, pieces of dusty flesh smeared with clay, soil, sand, and straw. I saw a perfectly formed kidney hanging perfectly from the rest of its body like a child's mitten from its coat. You could try this death on for size. Wear it like a sanbenito of the Inquisition.Artem counted the money and then lay on the floor alongside the gigantic sugar mountain in the middle of the room. From time to time, the crystals rustled as they fell.“I didn't think you'd be such a fighter!” the otaman said without turning toward me. “I thought you'd be healing us. You'd keep to the rear and we'd hide you like a girl. But here you are, in the vanguard, like a lion!”“I got excited,” I told him, choosing not to react to the “girl” part.“’Cause Alina said there was no sense counting on you to fight.”“Really?”“Does that sting?”“Why would it? I'm a doctor—not everyone is. It requires a brain. Unlike waving a sword.”“Yeah, yeah. I gave her gladiolas. We were lying in the boat near that castle, doing all manner of things, and she told me all about you. How you met.”“You were lying in that boat talking about me?”“It was the day before you left Kyiv. You agreed to go with the anarchists so quickly!”“Were you surprised? Doctors make fast decisions.”“But you probably had great prospects. Your parents are rich, right?”“And who are your parents?”“Probably all your relatives fled abroad—bourgeois. Why did you stay?”“What the hell's your point?”“Alina, by the way, died a while ago. Probably.”“Don't jinx her.”“Listen here,” he said, staring at the ceiling. “And listen good. If you have designs on her—dead or alive—it's best you castrate yourself now.”“After you.”“If I want to kill somebody, you know, I just do it.”At last he looked at me. I was lying on the floor nearby and looking in his direction, sweaty and relaxed, my appearance complemented by my disdain for his opinion, his authority, his stupid hat. His everything.Artem raised his arm above his head, stuck a finger in the sugar mountain, and licked it. We both got up. Had I anticipated this turn of events, I would have readied a gift for him. Artem held his revolver. Under my hand I found a knife the workers used for gathering beets: it was a deliberately sharpened arc they sank into the swollen brassicas. I jumped up and quickly stepped around the sugar mountain.Artem's bullet hit a pane and broke the glass.“Not man enough for hand-to-hand?”The otaman shot again.“You should've challenged me to a duel, you romantic!”Encrusted with white crystals, I charged Artem from the sugar mountain. We fell in, and the sugar stuck in our hair, mustaches, nostrils, armpits.The gang ran in to get us apart, then backed off because it had nothing to do with them. By now the sugar mountain had burst its banks. Of the once perfect pyramid, a deformed mound remained.Wounded, Artem fell on the sugar mound, turning the white red.I stood before the gang sugar-coated and holding a bloody hook. The old otaman was drawing his last breath. Blood trickled from the corner of Artem's mouth and streamed from the left side of his breast.“What's the commotion?” Old Roman had just come in.“Be quiet,” the boys told him. And a good thing they did.“You killed him? You killed the otaman!”“Shut your mouth,” the boys told him.“You... ”I slugged Roman's stinky herring mouth. How did that son of a bitch find pickled herring in a sugar factory? My fist was now bigger and stronger than ever before, a steel anvil that could split nails and shatter memorial plaques. The unfortunate man's jaw twisted like an upper millstone that had gone off track from the lower.“Let's get out of here and go to Makhno's camp,” I gave my first order.We galloped so fast the grass burned beneath us. The birds and bugs had no time to fly out of the way; hooves trampled the burrows of rodents who didn't dare crawl out of their holes for a long time after. We raced like no one had ever raced before.The steppe, that sly fox, pretended to be an innocent fool. The steppe said, “I'm like Adam: I don't even know my own name.” But its grass harbored the tracks of thousands of armies and the heels of Herodotus, the crunch of Trypillia vessels, and the smell of Scythian hemp, Roman coins, clay figures of wolf people, the chevrons of Denikin's army, glass from the Chekists’ ruby stars, traces of uranium from flying saucers. I threatened it: “Steppe, show me your layers, or I will burn you, plow you under, flood you.” But it just replied: “I'm like Adam: I don't yet know my name.”I lost geography as if it were a silver coin. It fell out of my pocket and rolled through the feather grass that blanketed the steppe in white foam. The open space ahead was so endless that the whole world might as well have been steppe. If people ended up here from somewhere else, they would conclude they were on another planet. The coin fell and became an argentum, became one with the ring on the hand of the princess who had one green eye and one blue, with the twisted candlestick at the monastery on the other side of the steppe, with melted ingots. It broke down into simpler elements, simpler and simpler yet. The horse carried me spreading the seeds of northern plants to the south, just as southern riders had once brought flowers and weeds to the north. And then I turned back. Just as I had no geography, I had no time. Every night I fell asleep with the thought that the next day I would again race. Through all spacelessness, all timelessness. I exchanged one horse for another, got on a train, on a boat, traversed forty versts on foot—in rain that brought the river up to the road, in heat that overturned cattle. The earth I walked on became mine. Mine was the water in the lakes and springs, clean water, dirty water, enlightened water, contaminated with oil, stinking of algae, of fish that died in wells, stinking of the memory of atrocities, water as clean as broken bread. The water did not become Alina.I was doing this for her: I got the basturma out from under my saddle, sodden with the horse's sweat, sliced the throat of a rich man whose daughter I had danced with at a ball, climbed into a vat of beet juice and took a sugar bath, carried out the expropriation of the savings banks, wiped the sweat from my face with my shirt—and the cloth turned red; I didn't know from what. If it was someone else's blood, I didn't care; if it was my own, even less.We mostly came across Reds. We scraped them up like old red paint on a door in order to repaint the boards black. Black looked better. Red is tasteless, but black has style. Healthy men died before us of myocardial rupture like bunnies found in the nest. The ones whose hearts were sewn of steel wire envied the deceased. Seizing estates, banks, distilleries, and prisons reminded us of gathering in the harvest. If you're too lazy to pick an apple, you can shake the tree; some of the fruit gets bruised when it falls. We seized buildings like we were shaking apple trees. No one picked the fruits, we just shook: shook under the beds, under the tables, behind the curtains. No, there was no picking. We just shook until the red juice spurted from the apples.Near the Khorol River with Father Makhno and me in charge, we captured sixteen machine guns and four cannons, as well as five hundred prisoners who immediately came over to our side. The villagers voluntarily gave us bread and cheese, chickens and kvas. People joined us. The front of the machine-gun cart said “You can't run,” and “You won't catch us” at the back. We took factory after factory. Millions of karbovantsi, thousands of poods of sugar, weapons. We smashed the telephone exchanges and captured the telegraphs. We made alliances with some and then with others. Lenin, Wrangel, Frunze, the Germans, Chinese, Australians, Kaiser Wilhelm II, Cleopatra, Maria Theresa Walburga Amalia Christina. We ran the steppe. There were a hundred thousand of us. There were three hundred thousand of them. There were three hundred thousand of us. There were a million of them. There were two million of them. We were all of humanity. We were so many that we were none.The nobles’ estates were long ago forsaken. In the people's deepest trunks lay silks and guipure laces that were once perhaps used only to cover a table. Five steps from the barn in the direction of the pear tree, some silver candlesticks are buried; there's a plaster figure of an angel in the chicken coop, covered with shit and feathers.I was reluctant to be going to my home, but I didn't see any way out. Fate intended me to be a different being from the one I was before.Here my grandfathers and great-grandfathers were born. Here the ones who caused my grandfathers and great-grandfathers to flee had stopped. When we were still far off I noticed that someone was in the house. It was our men—Skorsky had brought them here, about twenty in all. I asked Sanko, whom I had walked with side by side more than once, where the doctor was now. All the men answered that he was around somewhere, but I didn't see him that evening.In 1918, the spirit of my great-grandfather Stepan, along with my mother and uncle, had gotten into a britzka and scrambled off to Paris, to Napoleon, against whom my great-grandfather had fought with the Cossacks, to whom the Russians promised to return self-rule. Following him in the cart went the soul of Grandpa Oleh, who lost a finger when he cut down the old linden near the house; his second finger was blown off by a cannonball near Balaklava, and later his entire hand was cut off by some Turk. Next went the spirit of my father, also Stepan, who did not take part in any war but died of measles at the age of forty. They all got the hell out of here. First, they went to Kyiv, led by my mother, Tamara Makarivna, in order to collect Uncle's family and me, their son. And their son, it turns out, has now come back to rob his own home (I didn't drive my war buddies away, did I?). It's a shame that I didn't know where the bathtub was, or whatever they bathed me in when I was small. It would have been good to walk through the ranks of anarchists with that basin and tell them all to spit into it.Remembering every room, I carried Alina upstairs to my mother's bedchamber. There was no longer furniture or pictures, only bare walls. The bed and mattress remained, but that was enough. Mother hated noise, so she set up her room far away from the running in the halls and the creaks on the stairs. I adjusted the mattress; in a gap, looking like a stalk of wheat, there lay a gold bracelet that she lost in the haste and that the thieves could not find in the mayhem. I tucked it into my pocket.The place could still be saved. It was strong, built under the leadership of my grandfather, who knew how to do it right. He built a sawmill, a gristmill, a dress factory (today it's probably been ransacked, maybe even by our own men).Alina had a complete, displaced break in her right fibula. We needed water first. I went downstairs—the guys were dragging out the piano like an old cow to the slaughter.“What are you doing with that?”“Taking it out.”“Why?”“What's it to you? We want to have fun.”“Can you play?”“We're not your bourgeois lily-handed bitches.”They couldn't play, but they were famous at destruction. “Noise is the music of the new time,” one of the smarter among them might have said. “But noise is the opposite of music. Just as a rose is the opposite of your ugly mugs,” I'd have responded if there was anyone to say it to. I could also have said that this was a Bosendorfer grand piano, that it was very valuable—but do the guys not deserve such a luxury?“Why are you so boring? We're relaxing.”“Then let me play a little first.”“Go ahead, but fast. One-two.”So I played. As before. My fingers ran up and down the black and white keys, which weren't simply keys of these, the simplest, colors. These were the keys that remembered my fingers specifically—achieved by that slovenly German Katerina, our governess. She knew a bundle of languages, could play the piano, and was interested in the latest scientific discoveries. But she had not an ounce of sympathy for anyone who couldn't master anything on the first try. More than once she hit my pinkie against the black key that remembered every one of its four thousand touches. She would pound it on the key and shout, “Si bémol! Si bémol,” and later bang my fingers and translate, “B flach! B flach!”I played. I could not expose myself, so the only thing I could do was believe in miracles. What if these coarse men saw value in this bit of furniture so unintelligible to them? And what if they didn't destroy it, this emblem of my childhood, my land, my air, which I could protect in no other way? My air. My water.“Shchedryk, shchedryk, shchedrivochka,” one of them who recognized the tune began to sing along.“Look at you.” They did not expect music from me, who had until recently been drinking blood like water.They said, “Again, again!”A group of curious men gathered around me. They were ordinary farmers, thieves, and recidivists, peasants and workers, everyone except for Skorsky. They needed this music as they needed baths. The music cleansed them from the inside, perhaps. They had not heard anything besides the whistle of a bullet, the neighing of a horse, or the knocking of a chisel and the whirring of a saw, amputating limbs, for a long time.But it could not go on long. I did not close the piano lid, just stood and went to fetch water for Alina, leaving the unfinished song for later. The well was to the north—that is, at the “Head.” My father once promised to give me a compass if I could learn to identify the ends of the earth by means of the sun. And to make it easier to remember, I gave each one of them a name: the east where the day begins was “Right” (my right hand), the west “Left,” the north “Head,” and the south “Feet.” Back when I could still do whatever I wanted all day long, I would wake in the morning and say: I'm going to the Feet. The mound was at the Feet, Left had the river, Right had the forest. It was only to the Head that I rarely went, because a village was located there. When the villagers saw me, they would speak in whispers and avoid the master's son.... I wiped her brow and her burning, sunken cheeks. I lay down next to her to feel the heat of her skin.When the fire in Alina calmed slightly, I went out into our orchard. My father had once been given a gift from Japan—a tulip tree that blossomed with yellow-green flowers. It had to have grown in the time that I was away. It would have been fatal had it been cut down. I again took the stairs down into the drawing room and came across nobody—they had all disappeared in search of food or were hidden away in their burrows. In the middle of the hall, like an opened rib cage, was the piano, irreparably shattered.B Flach! B Flach!Translation © Ali Kinsella 2022. (shrink)

The TRIM/RBCC proteins are defined by the presence of the tripartite motif composed of a RING domain, one or two B‐box motifs and a coiled‐coil region. These proteins are involved in a plethora of cellular processes such as apoptosis, cell cycle regulation and viral response. Consistently, their alteration results in many diverse pathological conditions. The highly conserved modular structure of these proteins suggests that a common biochemical function may underlie their assorted cellular roles. Here, we review recent data indicating (...) that some TRIM/RBCC proteins are implicated in ubiquitination and propose that this large protein family represents a novel class of ‘single protein RING finger’ ubiquitin E3 ligases. BioEssays 27:1147–1157, 2005. © 2005 Wiley Periodicals, Inc. (shrink)

In this paper we consider properties, related to model-completeness, of the theory of integrally closed commutative regular rings. We obtain the main theorem claiming that in a Boolean algebra B, the truth of a prenex Σn-formula whose parameters ai partition B, can be determined by finitely many conditions built from the first entry of Tarski invariant T(ai)'s, n-characteristic D(n, ai)'s and the quantities S(ai, l) and S'(ai, l) for $l < n$. Then we derive two important theorems. One claims that (...) for any Boolean algebras A and B, an embedding of A into B preserving D(n, a) for all a ∈ A is a Σn-extension. The other claims that the theory of n-separable Boolean algebras admits elimination of quantifiers in a simple definitional extension of the language of Boolean algebras. Finally we translate these results into the language of commutative regular rings. (shrink)

Bridging the gap between the world of science and the realm of the spiritual, B. Alan Wallace introduces a natural theory of human consciousness that has its roots in contemporary physics and Buddhism. Wallace's "special theory of ontological relativity" suggests that mental phenomena are _conditioned_ by the brain, but do not _emerge_ from it. Rather, the entire natural world of mind and matter, subjects and objects, arises from a unitary dimension of reality that is more fundamental than these dualities, as (...) proposed by Wolfgang Pauli and Carl Jung. To test his hypothesis, Wallace employs the Buddhist meditative practice of _samatha_, refining one's attention and metacognition, to create a kind of telescope to examine the space of the mind. Drawing on the work of the physicist John Wheeler, he then proposes a more general theory in which the participatory nature of reality is envisioned as a self-excited circuit. In comparing these ideas to the Buddhist theory known as the Middle Way philosophy, Wallace explores further aspects of his "general theory of ontological relativity," which can be investigated by means of _vipasyana_, or insight, meditation. Wallace then focuses on the theme of symmetry in reference to quantum cosmology and the "problem of frozen time," relating these issues to the theory and practices of the Great Perfection school of Tibetan Buddhism. He concludes with a discussion of the general theme of complementarity as it relates to science and religion. The theories of relativity and quantum mechanics were major achievements in the physical sciences, and the theory of evolution has had an equally deep impact on the life sciences. However, rigorous scientific methods do not yet exist to observe mental phenomena, and naturalism has its limits for shedding light on the workings of the mind. A pioneer of modern consciousness research, Wallace offers a practical and revolutionary method for exploring the mind that combines the keenest insights of contemporary physicists and philosophers with the time-honored meditative traditions of Buddhism. (shrink)

The Post, axled and Łukasiewicz–Moisil algebras are important lattices studied in algebraic logic. In this paper, we investigate a useful interpretation between these algebras and some rings. We give a term equivalence between Post algebras of order |$p$| and |$p$|-rings, |$p$| prime and lift this result to the axled Łukasiewicz–Moisil algebra |$L \cong B_s \times P$| and the ring |$\prod ^s F_2 \times \prod ^l F_p$|⁠, where |$B_s$| is a Boolean algebra of order |$2^s$|⁠, |$P$| a |$p$|-valued Post algebra (...) of order |$p^l$| and |$F_p$| is the prime field of order |$p$|⁠. (shrink)

When Wittgenstein said psychology contains conceptual confusions and experimental results, one item he had in mind was the psycho-physiological theory of kinaesthesis, which offers an account of how we know limb movement and position. The aim of this essay is to develop and evaluate the objections to that theory which have been produced by Wittgenstein, Melden and Anscombe. That project involves specifying clearly what is involved in the theory, resolving various disagreements between the critics, showing the pattern of the objections, (...) and lastly evaluating the success of the case against the theory. That case amounts to the thesis that the kinaesthetic sensations we do have simply are not adequate to the evidential burden placed on them by the theory. Unless one thinks that they must constitute such evidence (the piece of conceptual confusion) no one would have thought that they do so. (shrink)

When Wittgenstein said psychology contains conceptual confusions and experimental results, one item he had in mind was the psycho-physiological theory of kinaesthesis, which offers an account of how we know limb movement and position. The aim of this essay is to develop and evaluate the objections to that theory which have been produced by Wittgenstein, Melden and Anscombe. That project involves specifying clearly what is involved in the theory, resolving various disagreements between the critics, showing the pattern of the objections, (...) and lastly evaluating the success of the case against the theory. That case amounts to the thesis that the kinaesthetic sensations we do have simply are not adequate to the evidential burden placed on them by the theory. Unless one thinks that they must constitute such evidence no one would have thought that they do so. (shrink)

When Wittgenstein said psychology contains conceptual confusions and experimental results, one item he had in mind was the psycho-physiological theory of kinaesthesis, which offers an account of how we know limb movement and position. The aim of this essay is to develop and evaluate the objections to that theory which have been produced by Wittgenstein, Melden and Anscombe. That project involves specifying clearly what is involved in the theory, resolving various disagreements between the critics, showing the pattern of the objections, (...) and lastly evaluating the success of the case against the theory. That case amounts to the thesis that the kinaesthetic sensations we do have simply are not adequate to the evidential burden placed on them by the theory. Unless one thinks that they must constitute such evidence (the piece of conceptual confusion) no one would have thought that they do so. (shrink)

Bridging the gap between the world of science and the realm of the spiritual, B. Alan Wallace introduces a natural theory of human consciousness that has its roots in contemporary physics and Buddhism. Wallace's "special theory of ontological relativity" suggests that mental phenomena are _conditioned_ by the brain, but do not _emerge_ from it. Rather, the entire natural world of mind and matter, subjects and objects, arises from a unitary dimension of reality that is more fundamental than these dualities, as (...) proposed by Wolfgang Pauli and Carl Jung. To test his hypothesis, Wallace employs the Buddhist meditative practice of _samatha_, refining one's attention and metacognition, to create a kind of telescope to examine the space of the mind. Drawing on the work of the physicist John Wheeler, he then proposes a more general theory in which the participatory nature of reality is envisioned as a self-excited circuit. In comparing these ideas to the Buddhist theory known as the Middle Way philosophy, Wallace explores further aspects of his "general theory of ontological relativity," which can be investigated by means of _vipasyana_, or insight, meditation. Wallace then focuses on the theme of symmetry in reference to quantum cosmology and the "problem of frozen time," relating these issues to the theory and practices of the Great Perfection school of Tibetan Buddhism. He concludes with a discussion of the general theme of complementarity as it relates to science and religion. The theories of relativity and quantum mechanics were major achievements in the physical sciences, and the theory of evolution has had an equally deep impact on the life sciences. However, rigorous scientific methods do not yet exist to observe mental phenomena, and naturalism has its limits for shedding light on the workings of the mind. A pioneer of modern consciousness research, Wallace offers a practical and revolutionary method for exploring the mind that combines the keenest insights of contemporary physicists and philosophers with the time-honored meditative traditions of Buddhism. (shrink)

Originally published in 1941. Herodicus was a Greek physician of the fifth century BC, and a native of Selymbria. The first use of therapeutic exercise for the treatment of disease and maintenance of health is credited to him, and he is believed to have been one of the tutors of Hippocates.