Bernhard Riemann

“ It may be a significant fact, as well as helpful in assaying the value of modern theoretical pedagogy, that Reger, super-technician that he is, was taught composition, as Riemann's Lexikon boasts, 'entirely after the text-books and editions of H. Riemann.' 'And,' it goes on to say, 'in addition, he studied for five years under Riemann's personal direction.' Riemann, it must be borne in mind, is not a composer, but a theoretician of extraordinary capacity. ”

“ If they are not convinced that their master is the fittest man to represent them, let them find another master."
"Now you are talking just like Hohenstein," said Bernhard, laughing. "Did you not discuss a bowl of punch together last night while he explained to you his views upon the coming election?"
"You're right as far as the punch goes, Bernhard, but as for the views, they are my own, and I think you owe it to the good cause to accept the nomination, since every one says that you have by far the best chance to defeat the ultramontanist." ”

“ According to this, then, [Pg 185] our instinct increases the value of a work of art, as we feel that we are dependent on one being alone for its creation."
"But this is only to be admitted conditionally," said Einstein, "for the best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry." ”

“ Riemann writes of him, "From Bach he inherited the depth, from Haydn, the humor, from Mozart, the charm, from Beethoven, the strength, from Schubert, the intimateness of his art. Truly a wonderfully gifted nature that was able to absorb such a fulness of great gifts and still not lose the best of gifts—the strong individuality which makes the master."
Wonderful is the power of instrumental music, absolute music without words, that may convey impressions, deep and lasting, no words could give. ”

“ A prolonged phase of mathematical development, the great expansion of geometry dating from Euclid to Riemann, the discovery of the physical facts of nature and their underlying laws from the time of Galileo together with the incessant impulses imparted by new empirical data, finally, the genius of individual great minds, Newton, Gauss, Riemann, Einstein, all these factors were necessary to set us free from the external, accidental, non-essential characteristics which would otherwise have held us captive. ”

“ This theorem together with its proof is contained in Newton's chief work, Philosophiæ naturalis principia mathematica. The interfusion of philosophy and mathematics furnished him with the natural principles of knowledge.*
Einstein made some illuminating remarks about Newton's famous phrase: "Hypotheses non fingo." I had said that Newton must have been aware that it is impossible to build up a science entirely free from hypotheses. Even geometry itself has arrived at that critical stage at which Gauss and Riemann discovered its hypothetical foundations. ”

“ Riemann has shewn that as there are different kinds of lines and surfaces, so there are different kinds of space of three dimensions; and that we can only find out by experience to which of these kinds the space in which we live belongs. In particular, the axioms of plane geometry are true within the limits of experiment on the surface of a sheet of paper, and yet we know that the sheet is really covered with a number of small ridges and furrows, upon which (the total curvature not being zero) these axioms are not true. ”

“ After a comparatively brief period it was found too difficult to conduct the Reichseinkauf organization with its headquarters at Hamburg, because the intercourse with the Imperial Treasury at Berlin, which provided the funds, took up too much time, and also because it seemed highly advisable to purchase the foreign foodstuffs needed by the military as well as the civil population through one and the same organization. ”

“ For this organization the Hamburg-Amerika Linie was to do all the purchasing, and it was arranged that it should put at the disposal of the new body all those members of its staff who were not called up, and who were considered suitable for the work. Buyers were sent to every neutral country; but the mobilization then in progress led to a complete stoppage of railway travelling for the civil population, thus causing no end of difficulties to these buyers, and making personal contact with the Berlin authorities almost impossible. ”

“ In the meantime our good Austrians have transferred all their reliable officers and men to the Tyrol, and have left nothing but the rubbish and their inefficient generals to guard the points of danger. ”

“ In history, Rienzi is a master-spirit of reckless and atrocious daring, but in the drama, he is softened down to a fickle liberty brawler, and the sternest of his vices are glossed over with an almost inconsistent show of affection and tenderness. As he there stands, he is rather like an injured man, than one who so liberally dealt oppression and injustice around him. ”

“ The story of Rimini is not wholly undeserving of praise. It possesses some tolerable passages, which are all quoted in the Edinburgh Reviewer's account of the poem, and not one of which is quoted in the very illiberal attack upon it in the Quarterly. But such is the wretched taste in which the greater part of the work is executed, that most certainly no man who reads it once will ever be able to prevail upon himself to read it again. ”

“ Thoughts like these are sure to come to us when we encounter such a name as this of the poor cripple of Reichenau. Whatever fame he had in his own day gradually disappeared and he has been only a shadowy figure for many years. It is true that Ersch and Gruber, in their great encyclopaedia, say of him that he is “one of the most meritorious men of the eleventh century.” It is also true that Ussermann—himself an almost forgotten authority—has labored to give Hermann his proper meed of praise ”

“ Questions came often to the white man, but his awe of the old priest forbade. Rajananda talked when he was ready. As the day rose, Romney met the brazen curtain again.
The picture of yesterday's dawn recurred at intervals with unabating horror; and the steady consciousness that he was moving farther and farther from his own. Sanity was difficult in this suffering, but always as it reached a certain pressure of destructiveness, its voltage seemed queerly lowered, and he lost the sand and sky, and travelled through the deadly glitter that had neither surface nor line. ”

“ I think Rajananda would not make me stay."
"Now that's queer; I had the same thought," said Romney.
Anna Erivan was standing by the table, waiting for him to come to her.
"There should not be any mission—any task at this time," she said strangely. "There should be only two in the world—two and a desert—"
"They have given us power," he answered. "All these obstacles make us only cleave together more furiously. I think I could not have known you as I know you now, if everything had been smooth for us. Perhaps it is in the Plan. There are always rapids where two rivers come together." ”

“ The Ancient was the cleanest of men. His bath each day was a desert rite, and, like all else that touched him, the food that he partook of was kept with holy care by his servant. There was not the faintest taint of senility about the old body. It was withered and dry but like sun-dried fruit. Romney often recalled the impression that Rajananda had made upon Anna Erivan when he first came to the court of the Consulate—the strength that had come to her from his passing. ”

“ I've Pfaffenbeerfurt, o' my soul!
And Reichelsheim so loyal.
The trumps and psaltery played to wine,
Although no drums were beating;
For six months sat the Rodenstein,
To Rhine wine measures treating.
And when six months in frolic fled
He for the reckoning halloed,
And 'Now the fun is o'er,' he said,
'For Reichelsheim is swallowed!
Reichelsheim's gone!
Gone with a race!
Reichelsheim loyal, the schnaps-making place,
Old Reichelsheim is swallowed!
'Hollaheh! it's gone, at worst;
We've all our way of thinking;
They never say a word for thirst,
But always talk of drinking. ”

“ Rajananda's hand was seldom raised above the rim of his basket during the hours of travel. Steadily Romney's wonder increased toward the old ascetic, his place and power. It was he at the last who had spoken regarding the mission; it was Rajananda to whom all the leaders and forces of the desert bowed in reverence and fealty. Rajananda concerned himself not only with the Peking business, the worship and well-being of the Gobi tribes, and the races of the world at large, but had time and authority for the direction of a white man's romance. ”

“ But oh, Providence! hast thou not reserved and marked me for great deeds? How, step by step, have I been led on to this solemn enterprise! How has each hour prepared its successor! And yet what danger! If the inconstant people, made cowardly by long thraldom, do but waver in the crisis, I am swept away!”
As he spoke, he raised his eyes, and lo, before him, the first star of twilight shone calmly down upon the crumbling remnants of the Tarpeian Rock. It was no favouring omen, and Rienzi’s heart beat quicker as that dark and ruined mass frowned thus suddenly on his gaze. ”

“ For almost a quarter of a century Reichensperger has been the champion of Christian art, not only in Germany, where he is looked upon as the foremost defender of German art during the middle ages, but also in France and England. In Cologne he had been at the head of the society for completing the cathedral. In the Prussian chambers at Berlin he has always exerted himself in favor of true art. He was president of the general meeting of the Christian art unions, held at Regensburg in 1857, and distinguished himself as an orator at the congress of artists that assembled at Antwerp some years ago. ”

“ Goodwill can be at the best a plant of very slow and painful growth between the nations. Intrigue makes its existence impossible. The Rhine is German to the core in race, language, and sentiment. Even a whisper as to the possibility of detaching it from the rest of the country is a premium on a fresh outbreak of anger and exasperation. The unhappy situation existing in the Saar Basin may have its compensations if it provides an anti-annexationist moral too strong to be disregarded. ”

“ You will meet again. Nothing is lost. Man cannot put asunder that which Holy Breath has joined together. Man goes alone to the Sanctuary, and woman waits. In going alone, the man is strengthened; in waiting, the woman is purified.... And now you will sleep. Rajananda, your father, will be here beside you, and these, my desert children, will watch over us through the night."
The ancient withered hand swept slowly from one to another of the Dugpas. All had turned at the sound of Rajananda's voice. Each man bowed low as he was designated. Romney felt that sleep was utterly gone from him. ”

“ For many hours they sat together on the mud-floor of the clay-walled and palm-thatched hut in Wampli. Rajananda lay covered in his yellow robe and listened, marking the symbols of God and the Holy Breath upon the dirt of the floor with a finger-nail like a twisted kernel of dried corn. Toward evening they broke their fast together, and Romney covered his face in his hands as he listened:
"My son, you are strong. Yesterday you wanted death, but knew too much to die in the midst of gray hate and red desire. All is well with you to-day. Your eyes hold the light that sees afar off. ”

“ Do I nourish any mad scheme to level the ranks which society renders a necessary evil? No. I war no more with Dives than with Lazarus. But before Man’s judgment-seat, as before God’s, Lazarus and Dives are made equal. No more.”
Colonna drew his robe round him with great haughtiness, and bit his lip in silence. Raimond interposed.
“All this is true, Tribune. But,” and he drew Rienzi aside, “you know we must be politic as well as just. Nephew to two Cardinals, what enmity will not this provoke at Avignon?”
“Vex not yourself, holy Raimond, I will answer it to the Pontiff.” ”

“ These plans owe their origin to the extremely talented Hamburg architect, Mr. Thielen, whose early death is greatly to be regretted.
An important innovation was the establishment of regular medical control and medical treatment for the emigrants from the East of Europe on their reaching the German frontier, a measure which was decided upon and taken in hand by the Prussian Government. The expansion of the Packetfahrt’s business, of course, was most adversely affected by the epidemic and its after-effects ”

“ She is holding up her arms—for the white fire. When a woman is great enough for that, my son, her arms do not long remain empty."
"Do you mean to tell me that Anna Erivan would have me go to Tientsin and report this mere verbal intelligence—before going to her?"
Rajananda took his hand from Romney's and fumbled in his robe for a moment, drawing forth a little leathern packet pinned with a seven-fold swastika of gold. From an inner fold of this he drew out a paper which Romney took with a thrill of passionate joy. ”