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April 10, 2026
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"To know that we know what we know, and that we do not know what we do not know, that is true knowledge."
"The forward and backward arcs appear greater in Jupiter than in Saturn and smaller than in Mars, and on the other hand greater in Venus than in Mercury. This reversal in direction appears more frequently in Saturn than in Jupiter, and also more rarely in Mars and Venus than in Mercury. Moreover, when Saturn, Jupiter, and Mars rise at sunset, they are nearer to the earth than when they set in the evening or appear at a later hour. But Mars in particular, when it shines all night, seems to equal Jupiter in size, being distinguished only by its reddish color. Yet in the other configurations it is found barely among the stars of the second magnitude, being recognized by those who track it with assiduous observations. All these phenomena proceed from the same cause, which is the earth's motion. Yet none of these phenomena appears in the fixed stars. This proves their immense height, which makes even the sphere of the annual motion, or its reflection, vanish from before our eyes. For, every visible object has some measure of distance beyond which it is no longer seen, as is demonstrated in optics. From Saturn, the highest of the planets, to the sphere of the fixed stars there is an additional gap of the largest size. This is shown by the twinkling lights of the stars. By this token in particular they are distinguished from the planets, for there had to be a very great difference between what moves and what does not move. So vast, without any question, is the divine handiwork of the most excellent Almighty."
"We find then in this arrangement an admirable harmony of the world, and a dependable, harmonious interconnexion of the motion and the size of the paths, such as otherwise cannot be discovered. For here the penetrating observer can note why the forward and the retrograde movement of Jupiter appears greater than that of Saturn, and smaller than that of Mars, and again greater with Venus than with Mercury; and why such retrogression appears oftener with Saturn than with Jupiter, less often with Mars and Venus than with Mercury. Moreover, why Saturn, Jupiter, and Mars, when they rise in the evening, appear greater than when they disappear and reappear [with the sun] . . . And all this results from the same cause, namely the motion of the earth."
"At rest, however, in the middle of everything is the sun. For, in this most beautiful temple, who would place this lamp in another or better position than that from which it can light up the whole thing at the same time? For, the sun is not inappropriately called by some people the lantern of the universe, its mind by others, and its ruler by still others. The Thrice Greatest labels it a visible god, and Sophocles' Electra, the all-seeing. Thus indeed, as though seated on a royal throne, the sun governs the family of planets revolving around it."
"Hence I feel no shame in asserting that this whole region engirdled by the moon, and the center of the earth, traverse this grand circle amid the rest of the planets in an annual revolution around the sun. Near the sun is the center of the universe. Moreover, since the sun remains stationary, whatever appears as a motion of the sun is really due rather to the motion of the earth."
"We are taught all this [the motion of the earth on its axis and around the sun] by the order of succession, in which those phenomena (various planetary happenings) follow each other, and by the harmony of the world, if we will only, as the saying goes, look at the matter with both eyes."
"For when a ship is floating calmly along, the sailors see its motion mirrored in everything outside, while on the other hand they suppose that they are stationary, together with everything on board. In the same way, the motion of the earth can unquestionably produce the impression that the entire universe is rotating."
"What indeed is more beautiful than heaven, which of course contains all things of beauty."
"Those who devised the eccentrics seen thereby in large measure to have solved the problem of apparent motions with approximate calculations. But meanwhile they introduced a good many ideas which apparently contradict the first principles of uniform motion. Nor could they elicit or deduce from the eccentrics the principal consideration, that is, the structure of the universe and the true symmetry of its parts. On the contrary, their experience was just like someone taking from various places hands, feet, a head, and other pieces, very well depicted it may be, but for the representation of a single person; since these fragments would not belong to one another at all, a monster rather than a man would be put together from them."
"Nor do I doubt that skilled and scholarly mathematicians will agree with me if, what philosophy requires from the beginning, they will examine and judge, not casually but deeply, what I have gathered together in this book to prove these things. ...Mathematics is written for mathematicians, to whom these my labours, if I am not mistaken, will appear to contribute something. ...What... I may have achieved in this, I leave to the decision of your Holiness especially, and to all other learned mathematicians. ...If perchance there should be foolish speakers who, together with those ignorant of all mathematics, will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash."
"When, therefore, I had long considered this uncertainty of traditional mathematics, it began to weary me that no more definite explanation of the movement of the world-machine established in our behalf by the best and most systematic builder of all, existed among the philosophers who had studied so exactly in other respects the minutest details in regard to the sphere. Wherefore I took upon myself the task of re-reading the books of all the philosophers which I could obtain, to seek out whether any one had ever conjectured that the motions of the spheres of the universe were other than they supposed who taught mathematics in the schools. And I found first, that, according to Cicero, Nicetas [assumed by modern editors to mean Hicetas] had thought the earth was moved. Then later I discovered, according to Plutarch, that certain others had held the same opinion. ... When from this, therefore, I had conceived its possibility, I myself also began to meditate upon the mobility of the earth. And although the opinion seemed absurd, yet because I knew the liberty had been accorded to others before me of imagining whatsoever circles they pleased to explain the phenomena of the stars, I thought I also might readily be allowed to experiment whether, by supposing the earth to have some motion, stronger demonstrations than those of the others could be found as to the revolution of the celestial sphere. Thus, supposing these motions which I attribute to the earth later on in this book, I found at length by much and long observation, that if the motions of the other planets were added to the rotation of the earth and calculated as for the revolution of that planet, not only the phenomena of the others followed from this, but also it so bound together both the order and magnitude of all the planets and the spheres and the heaven itself, that in no single part could one thing be altered without confusion among the other parts and in all the universe. Hence for this reason in the course of this work I have followed this system."
"Neque enim ita mihi mea placent, ut non perpendam, quid alii de illis iudicaturi sint. Et quamvis sciam, hominis philosophi cogitationes esse remotas à iudicio vulgi, propterea quòd illius studium sit veritatem omnibus in rebus, quatenus id à Deo rationi humanæ permissum est, inquirere, tamen alienas prorsus à rectitudine opiniones fugiendas censeo. Itaque cum mecum ipse cogitarem, quàm absurdum ἀκρόαμα existimaturi essent illi, qui multorum seculorum iudiciis hanc opinionem confirmatam norunt, quòd terra immobilis in medio cœli, tanquam centrum illius posita sit, si ego contra assererem terram moveri..."
"To know the mighty works of God, to comprehend His wisdom and majesty and power; to appreciate, in degree, the wonderful workings of His laws, surely all this must be a pleasing and acceptable mode of worship to the Most High, to whom ignorance cannot be more grateful than knowledge."
"Finally we shall place the Sun himself at the center of the Universe. All this is suggested by the systematic procession of events and the harmony of the whole Universe, if only we face the facts, as they say, "with both eyes open.""
"The question is not put how far extends His piety, but what he yearly spends; Quick, to the business; how he lives and eats; How largely gives; how splendidly he treats; How many thousand acres feed his sheep; What are his rents; what servants does he keep? The account is soon cast up; the judges rate Our credit in the court by our estate."
"Fati valet hora benigni."
"Indica tigris agit rabida cum tigride pacem perpetuam, saevis inter se convenit ursis."
"Multi committunt eadem diverso crimina fato: Ille crucem sceleris pretium tulit, hic diadema."
"Orandum est ut sit mens sana in corpore sano."
"Nam qui dabat olim imperium, fasces, legiones, omnia, nunc se continet atque duas tantum res anxius optat, panem et circenses."
"Cantabit vacuus coram latrone viator."
"Quanto delphinis ballaena Britannica maior."
"Nam si tibi sidera cessant, nil faciet longi mensura incognita nervi, quamvis te nudum spumanti Virro labello viderit et blandae adsidue densaeque tabellae sollicitent, autos gar ephelketai andra kinaidos."
"Summum crede nefas animam praeferre pudori et propter vitam vivendi perdere causas."
"Nobilitas sola est atque unica virtus."
"Sed quis custodiet ipsos custodes?"
"Nunc patimur longae pacis mala, saevior armis luxuria incubuit victumque ulciscitur orbem."
"Hoc volo, sic jubeo, sit pro ratione voluntas."
"Vitam impendere vero."
"Nemo malus felix."
"Hic vivimus ambitiosa paupertate omnes."
"Haut facile emergunt quorum virtutibus opstat res angusta domi."
"Nil habet infelix paupertas durius in se, quam quod ridiculos homines facit."
"What's Rome to me, what business have I there? I who can neither lie, nor falsely swear? Nor praise my patron's undeserving rhymes, Nor yet comply with him, nor with his times?"
"Me nemo ministro fur erit, atque ideo nulli comes exeo."
"Nemo repente fuit turpissimus."
"Dat veniam corvis, vexat censura columbas."
"Poena tamen praesens, cum tu deponis amictus turgidus et crudum pavonem in balnea portas. hinc subitae mortes atque intestata senectus; it nova nec tristis per cunctas fabula cenas: ducitur iratis plaudendum funus amicis."
"Probitas laudatur et alget"
"Difficile est saturam non scribere."
"Semper ego auditor tantum? numquamne reponam Vexatus totiens rauci Theseide Cordi?"
"Si operam medicantis exspectas, oportet vulnus detegas."
"Ancient belief in a cosmos composed of spheres, producing music as angels guided them through the heavens, was still flourishing in Elizabethan times. …There is a good deal more to Pythagorean musical theory than celestial harmony. Besides the music of the celestial spheres (musica mundana), two other varieties of music were distinguished: the sound of instruments...(musica instrumentalis), and the continuous unheard music that emanated from the human body (musica humana), which arises from a resonance between the body and the soul. ...In the medieval world, the status of music is revealed by its position within the Quadrivium—the fourfold curriculum—alongside arithmetic, geometry, and astronomy. Medieval students... believed all forms of harmony to derive from a common source. Before Boethius' studies in the ninth century, the idea of musical harmony was not considered independently of wider matters of celestial or ethical harmony."
"Boethius is a singular figure. Throughout the Middle Ages he was read and admired, regarded always as a devout Christian and treated almost as if he had been one of the Fathers. Yet his Consolations of Philosophy, written in 524 while he was awaiting execution, is purely Platonic; it does not prove that he was not a Christian, but it does show that pagan philosophy had a much stronger hold on him than Christian theology. Some theological works, especially one on the Trinity, which are attributed to him, are by many authorities considered to be spurious; but it was probably owing to them that the Middle Ages were able to regard him as orthodox, and to imbibe from him much Platonism which would otherwise have been viewed with suspicion. . . . The tone of the book is more like that of Plato than that of Plotinus. There is no trace of the superstition or morbidness of the age, no obsession with sin, no excessive straining after the unattainable. There is perfect philosophic calm—so much that, if the book had been written in prosperity, it might almost have been called smug. Written when it was, in prison under sentence of death, it is as admirable as the last moments of the Platonic Socrates. One does not find a similar outlook until after Newton. . . . [Boethius’s] combination with great learning and zeal for the public good was unique in that age. During the two centuries before his time and the ten centuries after it, I cannot think of any European man of learning so free from superstition and fanaticism. Nor are his merits merely negative; his survey is lofty, disinterested, and sublime. He would have been remarkable in any age; in the age in which he lived, he is utterly amazing."
"Throughout his life Boethius had written on a wide range of subjects: his interests included mathematics, music, philosophy and theology. But he composed his most famous work in jail while awaiting execution for his crimes. The Consolation of Philosophy attempted to place earthly troubles in a divine context. Written in the form of a dialogue between Boethius and Lady Philosophy, it asked its readers to accept that there were higher powers at work behind the vicissitudes of man’s fleeting life. In the course of his musings, he turned to the notion of fortune’s wheel. ‘So now you have committed yourself to the rule of Fortune, you must acquiesce in her ways,’ he wrote. ‘If you are trying to stop her wheel form turning, you are of all men the most obtuse.’"
"While Boethius, oppressed with fetters, expected each moment the sentence or the stroke of death, he composed, in the tower of Pavia, the Consolation Of Philosophy; a golden volume not unworthy of the leisure of Plato or Tully, but which claims incomparable merit from the barbarism of the times and the situation of the author."
"Music is associated not only with speculation but with morality. When rhythms and modes reach an intellect through the ear, they doubtless affect and reshape that mind according to their particular character."
"For when every judgement is the act of hym that judgeth, it behoveth that every man performe hys worke and purpose, not by any forayne or straunge power or facultie, but by his owne proper power, and strength."
"Sic quae permissis fluitare videtur habenis Fors patitur frenos ipsaque lege meat."
"Quis enim cohercente in ordinem cuncta deo locus esse ullus temeritati reliquus potest?"