Here are a few pages of an original translation with all rights reserved to me, so acknowledge Alison Samuels MA Cantab if you use it. I am looking to upload this in a more sensible place but today I am going to upload a preview of a draft.
Concerning the Number III
1 We are approaching the triad, than which nothing is richer in mystic and hidden significations. Indeed, the triad is the first number; for the Pythagoreans maintain that the dyad is not a number, but, so to speak, a fusion of units. And Plutarch[1] records that the Pythagoreans call the unit Apollo, the dyad strife and outrage, the triad justice; this last is the highest form of perfection, and for this reason the virtue of justice too is a medium[2] between two vices and removed from both; one of the vices is the infliction of injury, and the other the suffering of injury; both of these extremes are to be avoided.
2 The uneven number P. 96 appears to be similar to what is incorporeal and undivided[3]. The first even is surely the dyad[4] which is a division – the first occurrence of diversity, and the first lapse from one; but the number three[5] is the first uneven number; we could say that there has been a return to the one, and to the principium[6]. Three, being uneven is of greater perfection than the even[7], since it contains the even, but is not contained by it. Being beyond the even, it abounds in oneness[8], and it is clearly because of this abundance that it is called masculine. The even, however, because of its poverty, division and retreat from perfection, appears to be a number of feminine type.
3 It is true that even numbers are highly regarded in human and moral matters, for the reason that distributive justice[9] consists in the just division of evens between two parties. But the uneven numbers receive the more sacred regard which belongs to the divine. For if justice were to be resolved within the even, it would have no hinge on which to turn; but it is a property of unevenness, that one is the medium[10], the centre, so to speak; and the governing spirit, by which equal distribution is regulated; and the finis[11] to which we refer.
4 Furthermore, the uneven, because it has a medium[12], possesses its own bond within itself. And because it has a centre, it has the properties of a circle, and because of the relation of the extremes to the medium[13], it is the principium[14] of the order of the universe. It is a property of the first triad[15] that between two extremes it admits a medium[16], by which it is bonded. For in the triad[17] are principium, medium, and finis, and for this reason too all things are three. And the divines of ancient times, used to make three-fold offerings in their sacrifices, in order to show that the principium, medium, and finis belong to God. And philosophers have specified three things in the worship of God; adoration to represent reverence; incense, to represent the spreading of the very pleasing knowledge of God, and of the celestial and terrestrial virtues; the hymn, which Pythagoras says represents the singing of heaven[18].
5 And, to avoid the criticism that we have proceeded by [empty] words alone, let us hear Aristotle testify to this same thing[19]: When we consider magnitude, a magnitude which can be divided in one [dimension] is a line; a magnitude which can be divided in two [dimensions] is a plane; but a magnitude which can be divided into three [dimensions] is a body. And there is moreover no other magnitude apart from these, because threeness[20] is all things, and threeness[21] is infused into every part. For, as the Pythagoreans say, the universe[22] and all things are defined in terms of three. For finis, medium, and principium contain the number of the universe; P. 97and the number they contain is the number of the triad. For this reason, since we have, as it were, received these laws from nature, it is our custom to use this number in performing sacrifices to the gods. This is the end of the quotation from Aristotle.
6 And so the number three is sacred, a most powerful number, most allied to the ceremonies of the gods and religion, with the result that under its auspices both prayers and libations are repeated three times, so that[23] they are performed too on the third day, or at an interval of three months. Nicomachus stated this in these words: those who wish their prayers to be granted by God pour the libations three times and sacrifice three times.
7. Virgil Georgics Book IV concerning the sacrifices to Oceanus.[24]
Three times she drenched the blazing fire with liquid nectar;
Three times the flame flared from beneath to the full height of the roof.
8. In Theocritus Idyll 2[25]
e0j tri\j a0pospe/ndw kai\ tri\j ta/de po/tnia fwne/w:[26]
That is;
Three times I pour the libation, three times I utter the mystic words.[27]
9. Valerius Flaccus in the Argonautica[28]
He himself pouring goblets three times in honour of father Ocean.
10. The Oracles of Apollo:[29]
For triple are the offerings to the celestial gods, and they must be sacrificed shining white, triple too the offerings to the gods of earth, and they are black.
11. Likewise Aratus:[30]
The ancient ritual of perfect sacrifice requires the offering of three loaves in a basket.
12. In the ancient religious lore[31] of the Greeks the third bowl was offered to Jupiter the Saviour, the second to the demi-gods and spirits[32]. And in fact the following saying of Pythagoras is well-known: ‘we should sacrifice to the gods above with uneven numbers, and to the gods below with even numbers’. Taking this into consideration[33], the Egyptians and Thales of Miletus wanted the year to consist of 365 days; no doubt because of the command to observe uneven numbers, which Pythagoras advised should be mostly highly regarded in all things. Consequently, and because of the unequal number of its days, January is dedicated to the gods above, and, being ill-omened on account of the equal number of its days, February is assigned to the gods below. P.98
13 Homer, whose depth of learning has never been surpassed, considering the uneven numbers auspicious[34], always ascribed uneven numbers to the gods above, as Nestor does with regard to Neptune[35], and as Tiresias commands Ulysses[36]; in fact when Achilles makes sacrifices at the tomb of the dead Patroclus[37], they are all even numbered; that is to say, four horses, twelve Trojan youths.
14 Virgil, aware of this teaching, in Book VI of the Aeneid shows that even numbers are pleasing to the gods below, saying:
First he placed here four black-backed bullocks.[38]
And again in the funeral rites which Aeneas performs for his father Anchises in Sicily, he keeps to even numbers. In Aeneid V the verse runs as follows:
Here he pours in ritual libation two goblets of unmixed wine upon the ground; two goblets of new milk; two of consecrated blood.[39]
And in Eclogues 8 showing that the uneven is appropriate for the gods above, he writes thus;
The god rejoices in uneven numbers.[40]
15 However, Virgil did not mean that God rejoices in any uneven number, but most of all in the number three, then five and seven. The Christian religion has not ignored this. For Cardinal Carlo Borromaeo, a man of great learning and religious devotion, who did nothing without deep rational deliberation and who possessed the greatest command of all mysteries, held uneven numbers in such high regard that, when he was laying down the rules for the construction of churches[41], he decided that churches in the form of a cross should have either one nave[42] alone, or three, or five, that on the exterior[43] they should have as many doors as naves, and that the windows in the nave should be uneven in number. In larger churches, where a lamp-stand stretches the length of the building, he decided that seven or thirteen lamps should be affixed; in smaller churches, three or five. Cathedral churches should have seven, or at least five bells; collegiate churches three. Three steps should lead to the high altar; but where, on account of the size of the church and altar, there could be more steps, it was permissible for five to be built . To the chapel major there should be constructed one or three or five steps. The ascent to the floor of the church should be by three or five steps. If the church happened P.99 to be built on a steep site, making a staircase consisting of a number of steps necessary, then as many steps as were necessary to make the ascent practical and convenient should be built, but the following rule should be observed, that they should be uneven in number, and that the level ground should be on the seventh or fifth or third step. For that is what the architects[44] say, to the end that we should enter the place of worship on the right foot, a thing which they consider is conducive to good religious practice.
16 This same practice is observed most importantly by the priests during the holy mass, where they say either one collect, or three, or five, or at most seven. Now where they say one[45], it is so that where for a single mass only one reading, one gospel and one office are said, they may in addition say one collect likewise. Where they say three, it is because we read that the Lord prayed three times before his passion. Where they say five, it is because of the fivefold division[46] of his passion, in memory of which we celebrate these services.[47] Finally, where they say seven, it is because we read that the Apostles, when they consecrated these same mysteries, used frequently the Lord’s Prayer, which contains all corporal and spiritual necessities in only seven petitions. The Pontifex too, making sacrifice to God, has deacons as witnesses with him, on days of solemnity, either one in number, or three, or five, or seven, as we read in de Cons. Dist. I. C. Episcopus Deo. For one deacon serves at the altar, because one disciple, a young man, that is John, clad only in a wrapper and otherwise naked, followed Christ when the rest fled.[48] Three serve, because Christ ascending to the Mount of Transfiguration took three with him, that is Peter, James and John.[49] But when five serve it is because of the five whom the Lord took with him when he revived the girl,[50] the three mentioned above and the father and mother of the girl. Finally, where seven perform the duties, it is because of those seven to whom the Lord manifested himself after his resurrection while they were fishing.[51]
17 Likewise in dispensing signings of the cross over the oblation the virtue of uneven numbers is not neglected[52], since they make one or three or even five signings of the cross, and this is doubtless by reason of a particular mystery in each case. For in making five crosses, they signify the five-fold passion of the Lord. In one, and in three, they suggest the one and triune God. In the mystery of this number too, the priest breaks the most holy body[53] into three parts in the Mass. He says the Agnus Dei[54] three times, and cries with the Seraphs Holy, Holy, Holy, Lord God of Hosts[55]. Whoever wishes to be absolved of sin repeats his faults three times.[56] It is right to say three times with the Centurion[57], ‘Lord I am not worthy,’ if we wish to partake worthily in the Holy Eucharist. And furthermore it is fitting that uneven numbers are frequently used in the liturgies of the Church. For they are never divided into two equal parts, to the detriment of their unity, nor does God wish the division of his Church.
18 The Pythagoreans add that uneven numbers are stronger for all purposes, and the number Three above all. Pliny Natural History Book 28, Chapter 4[58]. It was the custom throughout medical practice to spit three times with prayer, and by this the results were improved. The case of the Vestal Claudia[59] is further proof of this fact. When she fell into suspicion of unchastity, in order to prove her innocence by some incontrovertible demonstration, she is said to have drawn by her girdle the boat in which the Mother of the Gods was travelling. Before she did this, she prayed using threefold repetition.
19 Three times she bedewed her head; three times she raised her hands palm upward to the heavens.[60]
20 According to the stories of those learned in the gods of old[61], the goddess Ceres wandered across the whole of the world, looking for her daughter Proserpina, and when she found herself in Attica, she was received hospitably be Celeus the Attican. In order to repay his kindness with an appropriate reward, Ceres took his infant son from his cradle and began holy rituals[62], intending to make him immortal.
Three times she drenched him with her hand; she sang three chants.
Chants which could not be uttered by human voice.[63]
21 Furthermore, after Hippolytus had met his death, and when Aesculapius, at the behest of Diana, set about recalling him from the underworld and restoring him to his former good health;
He touched his breast three times, three time he spoke the health-giving words;
The other lifted up his head which had lain on the ground.[64]
22 So too the goddess Carna or Crana, liberating Proca, son of the king of Alba, when he was beset by witches;
Forthwith she touched the doorposts three times in order with arbute leaves.
With arbute leaves three times she struck the threshold.[65]
26 Pliny[66] records that the Dictator Caesar, following a dangerous accident to his coach, ever after as soon as he sat down in a vehicle, used to assure the safety of his journey by repeating a charm three times, something which, says Pliny, we know many people still do.
27 Theocritus in the Bucolics;
Abcabc
28 The dominant idea of these songs is this; so that no malicious influence harm me, nor bewitchment injure me, I spit three times into my bosom. The scholiast adds that this custom continued among the women even of his own day, who spit into their bosom to avert malicious influence.
29 Also relevant here are Lucian’s words in the Necyomantia;[67]
tri\v a0/n mou pro\v to\ pro/swpon a0poptu/sav
that is;
After he had spat three times in my face.
30 From a similar ritual of expiation comes the practice which Athenaeus relates in the Deipnosophistae[68]; that people of ancient times were accustomed to make three aspersions to drive off evil. He relates the following verse of Callimachus of Cyrene;
tri\v de\ a0pomacame/noisi qeoi\ dido/asin a0/meinon
that is;
The gods give better things to those who have wiped themselves three times.
31 In this way, they used to make purification by washing themselves three times or by making a triple circuit before they touched the sacred things, a practice which Virgil clearly expressed in book vi of the Aeneid[69] where he says this;
Likewise he purified his companions three times with clean water,
Splashing them with the gentle dew, and with a branch of well-omened olive,
And he cleansed his men.
32 Ovid book vii Metamorphoses;[70]
Three times she turned himself about, three times with water taken from the river
She bedewed his hair, and opened her mouth in three howls,
And on the hard ground with bended knee …
33 And so too when they made purifications of the fields, they used to drive the sacrificial beasts three times around the crops, as Virgil tells us in Georgics i[71] in these words.
Three times let the sacrificial victim go around the growing corn.
34 Nor should we omit Columella’s account, that those malevolent small beasts which are called caterpillars, are killed if a menstruating woman with loose hair and barefoot walks three times around the area. The verses from book 10[72] run as follows;
And if no medicine can repel the pest
Let the Trojan rites be employed; and a barefoot
Woman, who, still governed by the just laws of youth,
Shamefast drips with obscene blood,
But in mourning state, with her robes and hair undone,
Is led three times around the beds and fence of the garden,
And when she has purified them with her steps (a wretched sight).
Just as when the tree is shaken a cloud rains down,
Either of smooth apples or of acorns in their cups,
So the caterpillar rolls to the ground with writing body.
35 Moreover the number Three is most appropriate for bindings, hence in the Pharmaceutria of the same poet we find this;
First I bind you three times with these laces of triple colour,
And three times I carry your image about this altar.
And a little later.
Amaryllis, tie three colour with three knots.
36 We also read about Medea;
She spoke three times the words that bring peaceful sleep,
Which still the raging sea and stop the swollen rivers.
37 Further, in the rustic rites of the goddess Muta we read the following in Ovid.
Behold the old crone sitting in the midst of the young girls,
Performs the rites in silence, yet she herself is not silent,
And with her three fingers she places three incense offerings on the threshold.
38 It is also said that the rite at funerals was in triple form. For they used to call upon the deceased by name clearly three times, perhaps because we respond to nothing more promptly than to our own name, and if some vital spark were still hidden within, the dead would give some sign of life. If no vital spirit showed its presence even then, they said that he had been ‘cried on’. Hence the dead used to be called ‘the cried on’.
39 On this subject, Proclus says;
We used to call upon the dead three times.
40 In Homer, Ulysses asserts that he had not boarded his ships before calling three times on his comrades who had fallen in battle against the Cicones.
Although, from that shore the ships
Could not set out thence upon their course with strokes of oars.
Before we summoned our lost friends, calling them three times,
The men who on the Ciconians’ bloody fields had
41 Homer preserved the same number in the death of Patroclus, in Iliad 6.
In a great voice fearful Achilles called out three times,
Three times stricken the armies of Troy gave ground
With their allies.
42 Virgil used these words as he composed his verses on the funeral of Pallas in Aeneid i. 1.
Three times girded in gleaming armour
They ran around the blazing pyre; three times on horseback
They purified the sorrowful funeral fire, and raised the cries of mourning.
43 Likewise in book six;
Then by myself I set up an empty tomb upon the Roethean shore
And I called upon the Manes three times.
44 But why do we attempt to bring forward the Pagans[73] to demonstrate the mysteries of this number? For even in the sacred scriptures, we see numerous arcana symbolised by the number Three. Among the Jews, indeed, this number was consecrated to funerary rites and the dead. For example, when King David was driven out of his kingdom by his son Absalom, and after a considerable time had regained his strength and gathered a righteous army, he recovered his kingdom with the help of his generals. But he had given orders to his generals as they went out to battle, that they should not kill his son Absalom. Nonetheless, they acted against David’s order; Absalom perished in the war, pierced with three spears by the general Joab. The father, sorrowing over the death of his son, began to lament him in these words;[74]
My son Absalom, Absalom my son,
Absalom my son, my son Absalom,
My son Absalom, Absalom my son.
45 In the third month[75] after they had gone out of Egypt, the people of Israel came to Mount Sinai, and offered a sacrifice to God, and on the third day they received the law. For this reason, the third day is a time of grace. For the Prophet Moses indicated this in Genesis, chapter I, when he said that God had made the waters into one gathering on the third day. For after the first day which belongs to Moses and the second which belongs to the ministry of the prophets, on the third day we Gentiles were gathered together into one congregation of faith, through the net[76] of the Gospel. For this reason, Christ, who rose of the third day from the dead said;[77]
Today and tomorrow I work wonders.
Note the two days. For by the wonders [of the first day] he means what was done in Egypt, and in the desert by Moses; these are (to sum up) the works of the first day. But the wonders of the second day are those done by Elias[78] and Elisha and those who followed them, the Prophets. But on the third day is accomplished the bright day of his coming, which shows forth through the Gospel his work[79], perfect and absolved of all numbers. For Christ is the fulfilment and completion of the law and the Prophets.[80]
46 And so too, the wedding which was celebrated in Cana took place on the third day. But Cana, according to its Hebrew meaning, is creation; in this creation by his descent was accomplished the uncorrupt marriage, which is the union of the Word with our [human] nature[81]. In this marriage on the third day, Christ performed his first miracle in water; for p.105 on the third day, he gathered the water of the Gentiles into one congregation.
47 Joshua[82], who as a type prefigures the Lord, coming to Jordan, ordered the people to prepare food for a three day journey. Jacob Geuschel explains this mystery in his Seven Books of Tropes in Sacred Scripture.[83] By the triple breath of the prophet Elias, life was breathed into the son of the widow of Sarephta; 3 Regum 17.[84] Three times too Elias poured water over the holocaust; 3 Regum 18. When Balaam beat his ass for the third time, the Angel appeared to him; Num. 22. Three times Balaam[85] blessed the people of Israel; Num. 23, 24. Three times David fell to the ground and worshipped Jonathan; 1. Regum 20.[86] Three times Samuel was called by God; 1. Regum 3.[87]
48 After being warned by God three times, Bishop Honoratus of Vercelli came to the Ambrose, Doctor of the Church,[88] who was in his death agony and offered him the holy body of the Lord. Three times the Angel of the Lord appeared to Peter, when an ecstasy of mind fell upon him.[89] Cornelius sent three men to Peter[90]. Three times in the year it was sanctioned by the law of Moses that every male should appear before God; that is, at Passover, at Pentecost and on the Day of Tabernacles.[91] Passover[92], which marks the passing of Israel from Egypt, or of the universe from not being to being, corresponds to the Father, who snatched us from the hands of the Devil. Pentecost, when the law was given to so great a gathering, corresponds to the Son. For the bringing together corresponds to the Son and the Word, in whom the law was, before it was given, according to Elchana.[93] The Day of Forgiveness and of Tabernacles, in memory of the shadow cast by the cloud in the desert, corresponds to the Holy Spirit, in whose power and number forgiveness is given.
49 Apart from this, we practise the worship of God in three ways; in our hearts, by our voices and by our works. Thus there are three forms of penance; contrition of the heart, confession of the mouth and reparation by works. And the forms of reparation are also numbered three; fasting, alms, prayer. So too we are commanded to love God with our whole heart, so that we offer all our thoughts to Him; from our whole soul, so that we offer all our life to Him, with all our mind, so that we offer all our intellect to Him, from Whom we have what we offer. P.106
50[94] There are three fingers, by which God suspended the mass of the earth.[95] Sins can be wiped out in three ways. For they are remitted by baptism, covered by charity and not imputed in case of martyrdom. Now indeed although the things which we either have from God, or will in future have are many and great – so many and so great that no one can embrace them all in one discourse – yet there is this one thing in which His beneficence to the human race shines out, the fact that we direct our souls to Him and are united to him by direct relationship[96], as if by some sort of necessity. The triple number of the theological virtues particularly displays this. For by these the human mind is raised from the things of earth to the things of heaven, and is joined to God. And without the connexion and coherence of these virtues, there is no salvation [97] for humankind. And where they are found, they bring the gift of salvation through the power of God.[98]
51 Concerning these [theological virtues] the Apostle spoke to the Corinthians[99], writing;
But now there remain Faith, Hope and Charity, these Three, but the greatest of these is Charity.
So that there may rightly be this triple cord of virtues, which, according to Ecclesiastes[100], is hard to break.
52 In three ways God invites the sinner[101] to Himself, by the power of miracles, by secret compunction[102], and by the speech of the scholar. In the Book of Job we read with wonder that God, who greatly pitied human weakness, desired to teach human beings to turn to Him, convicting them once, twice and a third time, that is to say, by words, dreams and sicknesses. If they return to wisdom on the third occasion, all will be well with them; if not, the spirit of God gives urgent warning that it is about to leave them, and desert them forthwith.
53 But much more wonderful is the fact that in his temptings, the Devil has been three times overcome by us, and departs so weak and confused that he is either unable to attack us again, or blushes to do so. This is why we read that Satan is rightly compared to a leopard, which in hunting its prey falls back and is ashamed to continue the attack unless he catches it on the third leap. So great is the strength and power of this number.
54 And I tell you, you can learn this in numerous passages of the sacred Scriptures. When the third and last well had been dug, the quarrelling of the herdsmen ceased, as we read in Genesis, chapter 26.[103] In just the same way, Elias[104] the prophet, soaked the wood three times, at the time when he caused the sacrifice to be consumed by fire sent from heaven and killed the false prophets who were not able to do the same P. 107 when he demanded it of them..[105]
55 Furthermore, we read in the Book of Judges[106] that when the whole of Israel arose to avenge the crime of Benjamin in Gibeah, at the command of the Lord, they were defeated once and a second time, but victorious on the third occasion. From this we learn that God’s custom is to award perpetual rest and triumph by means of the third battle. Thus the Apostle Paul after his third victory, obtained through his third prayer, rested in safety, saying;
Because I asked the Lord three times, and He said to me; My grace is sufficient for you.[107]
56 Thus Pharaoh’s mages, Iamnes and Mambres[108], changed sticks into serpents and water into blood, and made the water seethe with frogs, since they were evildoers and empowered by the corruption of their minds, but they were completely unable to bring forth lice.[109] And so they said that the Holy Spirit was against them. And thus they failed in the Third Plague, because the first miracle they worked was not a plague, so they are said to have failed in their third miracle,[110] Glos. 1. Q. 1. with reference to the verse about the mages [111] and Augustine On the Celebration of Easter.
57 By reason of this mystery, when Satan made war on Christ, he was repulsed three times and conquered.[112] And so after the third battle and victory, Jesus Christ, at rest and triumphant, said, according to John;
The prince of this world has come and he has no part in me.[113]
And so too when he had battled down his enemies in Hell, on the third day the Lord rose in glory and peace. For this reason, in the Church, on the most holy day of the Resurrection, the Gospel according to Mark is read, to whom Father Jerome, out of the four animals,[114] attributed the face of the lion. Adamantius Phisiologus writes this about the lion cub; as soon as it is born, it sleeps for three days and three nights, and then its father makes a terrifying roar and shakes the cub’s den, and it awakes from sleep. And from that comes the saying of Jacob in the holy Scripture;
Judah is a lion’s cub, you have ascended to the prey my son, you have lain down and rested like a lion, and like a lioness, who will wake him?[115]
58 And there is also Balaam’s second response;
He shall rest, lying as the lion, and like the lioness; who will dare to wake her?[116]
This beyond doubt refers to the burial and resurrection of Christ.
59 Thus far P. 108
For everything which has been created is either an extreme or a mean. If it is an extreme, it is an intellect, either angelic or human. If it is a mean, it is a sensible creation, created after the angels but before humanity.[117]
The angelic intellect is the active being[118] of all things, and universal actuality of all things.[119] For just as it is separate from all matter, so too it understands without species[120], and knows all things, not through the objects of its knowledge themselves, nor through their species, but simpliciter[121], of its own nature,[122] intuitively, and by contemplation of its own active being[123], before the universe comes to be.
Human intellect is the possibility of all things, and the universal potentiality of all things.[124]
And all the things which remain between both these kinds of intellect, are all according to substance a mixture of actuality and potentiality.
For the angelic intellect is so to speak the simple actuality of all things; the human intellect, as it were the simple and universal potentiality of all things. Whatever there is apart from these intellects, is sensible, and their medium, mixing actuality and potentiality.[125]
And so it happens that the whole universe can be divided into only Three; that is the two intellects which are the two extremes, and which both comprehend everything; and, on the other hand everything else, which is included in the medium[126] of these two intellects.[127] And anything you can name is in one of these categories, P. 112 and all together they comprehend everything.
And so everything [in one category] was created before the universe; that is to say the angels. Everything [in the median category] was created in the universe; that is the remainder. After the universe, everything [in the last category] was created that is to say, humanity. This is visualised in in the following table.
[1] The Latin text contains the marginal reference Plutarc. De Pyth. Disc. The intended source may be Pseudo-Plutarch Placita Philosophorum 1.7.
[2] Here mean. This is the Aristotelian doctrine of virtue as a mean between two vices.
[3] This is plural in the Latin – incorporeal and undivided things.
[4] dualitas. However, no distinction is intended between this term and diada, translated dyad in s.1. The direct allusion to Pythagoreans makes this terminology certain.
[5] ternarius
[6] Here, possibly first principle, foundation.
[7] In this section, PB is considering the even as equivalent to the binary and by extension the concept two. All uneven numbers share the property of masculinity, and all even numbers the property of femininity, but three and two cannot be seen merely as numbers in a sequence. One, as we have established ad loc. is not strictly speaking a number. Two, as well as being a means of numbering objects, represents binary form universally: perpetual separation and disunity. Three represents the resolution of the binary into a compound unity: as the first uneven number in the number sequence, it also represents unevenness per se and exemplifies its properties. It is therefore not surprising that in PB’s trinitarian theology, three may turn out to be one. Although we can go on counting beyond the number three, all the fundamental concepts of organisation – the one, the binary or even, the uneven – are figured in the relations of one, two and three. Later numbers in the series will be understood in relation to these fundamental distinctions. The fluidity of PB’s language at this point enables him to move very swiftly through this complex set of relationships.
[8] uno
[9] distributio
[10] Here mean, in the Aristotelian sense.
[11] The end or goal.
[12] Here, middle term.
[13] Here PB seems to be looking forward to the idea which he is about to develop that the compound principium, medium, finis (beginning, middle, and end) is equivalent to the universe.
[14] Possibly foundation, principle.
[15] ternario
[16] Here middle term.
[17] ternario
[18] i.e. the music of the spheres. The Latin word concentum indicates a shared or communal singing.
[19] The Latin text contains the marginal reference Lib. I. de de coelo & mundo.
[20] ipsa tria
[21] ipsum ter
[22] ipsum omne
[23] The sense might be improved by reading aut instead of ut giving three times or additionally on the third day. The sequence of tenses is also peculiar – there seems no reason for the switch to the imperfect in peragerentur.
[24] Georgics IV 384-5
[25] Idyll 2. 43
[26] B.’s Greek text is somewhat corrupted by printing, beginning with a capital epsilon, having an acute accent, not a grave on trij and kai and contracting the final vowels of ew with a superscript mark intended for a circumflex. I have substituted the standard version.
[27] B. omits the word potnia (lady) in his translation. This is an invocation to Hecate.
[28] B.’s text is slightly corrupt, giving charchesia for carchesia and patre for patri. There is a marginal reference Lib. 1. The full reference is Argonautica I. 193
[29] The lines appear in Eusebius de Evangelica Praeparatione 14. 4D.
[30]PB means Arator. The lines are from his sixth century work de Actibus Apostolorum 2. 894-5.
[31] Latin theologia.
[32] Latin daemonibus.
[33] A marginal note here gives the sources Ioseph Moleti de correctione Kalendarii lib[er] I. c. 4. Laertius de vitis Philosophor[um] Li[ber] 1. The first of these refers to a treatise on the correction of the calendar by the sixteenth century mathematician Giuseppe Moletti. The second is a reference to Diogenes Laertius Lives of the Philosophers Book 1., and especially to chapter 1, on Thales.
[34] in sorte boni. The coming references to Homer suggest that the Greek text, which he does not quote, is not PB’s source, as it does not exemplify the preference for even numbers he ascribes to it.
[35] Nestor sacrifices a hecatomb to Neptune in Odyssey 3.
[36] In Odyssey 11. 129-133 the shade of Teiresias advises the sacrifice of single animals (a ram, bull and boar) to Poseidon and hecatombs to the other gods.
[37] Iliad 23. 21-22. In these lines Achilles dedicates the 12 Trojan youths, and later unnumbered sheep, goats and oxen are slain. The horses are not mentioned in the standard Greek text, and are not a usual Homeric sacrifice.
[38] Aeneid vi. 243.
[39] Aeneid v. 77-8.
[40] Eclogue 8. 75
[41]
[42] B adds ut dicunt = as they say, since the Latin word for nave literally means ship. This difficulty is obviated in English.
[43] in fronte
[44] Marginal reference: Leo Baptista Alberti, de Lineamentis c. 13.
[45] Marginal reference: Microlog[ia] de Eccles[iae]. observa[tionibus]. c.4
[46] The five wounds of Christ.
[47] i.e. the mass.
[48] Ev. Marc. 14. 51-2
[49] Ev. Marc. 9. 2; also Ev. Matt. 17.2; Luke/Ev. Luc. 9.28;
[50] The raising of Jairus’ daughter; Ev. Marc. 5. 40-41; /Ev. Luc. 8. 51. The story is also in Matthew (Ev. Matt. 9. 25), but without the relevant detail.
[51]
[52] PB provides the marginal reference Microlog[ia] de Ecclesi[ae] observ[ationibus] c.14
[53] The ritual division, or Fraction of the Host, representing the body of Christ.
[54] Agnus Dei – a tripartite invocation to Christ as the Lamb of God associated with the rite of Fraction (see n.52)
[55] Sanctus, Sanctus, Sanctus, Dominus Deus Sabaoth. The Sanctus hymn forms part of the ordinary of the Mass, and is sung before the Consecration of the Elements (bread and wine).
[56] The threefold repetition of the phrase mea culpa (by my own fault) forms part of the Penitential section (the Confiteor) of the 1570 Roman Rite.
[57] PB provides the marginal reference [Ev.] Matt. 8. The full reference is Ev Matt. 8.8. The Centurion does not repeat the saying three times – the repetition has a complex history but appears as a congregational response in the Roman Rite before Distribution.
[58] Pliny NH 28.4 deals with portents and prodigies. The only relevant section seems to be Pliny’s description of Julius Caesar’s habit of repeating a charm three times before travelling.
[59] PB includes the marginal note Herodianus lib. 1. Herodian, I. x. 6 mentions the spring festival of the ‘Mother of the Gods’ (Cybele) in the context of an attempted assassination of the Emperor Commodus. He digresses to tell the miracle of the Vestal Claudia, whom he does not name. She was divinely enabled to tow the ship containing the sacred image to shore on the occasion when the cult was first brought to Rome (Herodian I xi. 3-5). The threefold prayer does not feature in Herodian’s account.
[60] PB includes the marginal note Ovid Fast. Li. 4.
[61] priscorum Theologorum.
[62] sacrificia.
[63] PB includes the marginal reference ibidem.
[64] PB includes the marginal reference Fast. li. 6. The full reference is Ovid Fasti vi. 773-4 (June 21st).
[65] PB includes the marginal reference Ovid Fast.6. The full reference is Ovid Fasti vi. 155-6 (June 1st).
[66] PB includes the marginal reference Lib. 28. Cap. 2.
[67] Lucian, Necyomantia 7.
[68] Athenaeus, Deipnosophistae 1. 3.
[69] Virgil, Aeneid vi 229-231.
[70] Ovid, Metamorphoses vii 189-191.
[71] Virgil, Georgics i. 345
[72] Columella, de Re Rustica x. 356-366.
[73] Ethnicos.
[74] Marginal note 2. Reg. 18 & 19. Older versions of the Vulgate count the Book of Samuel as Reges 1-2, so that Reges runs into 4 books. In the later division of the Vulgate, David’s lament occurs twice, in 2 Sam (2 Reg.) 18. 33 and 19. 4, but in neither case in the triple form quoted by PB. It is reasonable to suggest that he may have formed his idea of the text from ecclesiastical music such as the setting of the lament as a motet, attributed to Josquin de Prez.
[75] Marginal note: Exho. 19 (Exod. 19)
[76] PB employs the common Christian metaphor of fishing to denote conversion.
[77] Marginal note: Luc. 13. The full reference is Ev. Luc. 13. 32. The Vulgate version reads ; ecce eicio daemonia et sanitates perficio hodie et cras at tertia comsummor.
[78] Elijah.
[79] Studium.
[80] Marginal reference Iohan. I. The full reference is Ioh. 1. 16-17.
[81] That is, the Incarnation, in which Christ, the Word of God, descends from heaven and takes human form.
[82] Marginal reference Ios. I. 3. The text intended seems to be Ios. 1.11.
[83] Called by PB Iacobus Geuschelius; a Swiss scholar originating in Winterthour.
[84] Or 1 Reg. 17 in editions which number the two Books of Samuel.
[85] Marginal reference 2. q. 7. c. nos. ? .itē Balaam.
[86] 1 Sam. (1. Reg.) 20. 41.
[87] 1. Sam. (1. Reg.) 3.
[88] D. Ambrosium. The story relates to the deathbed attendance of Honoratus on his patron Ambrose, Bishop of Milan, d. 397 AD. Ambrose shared observance as Doctor in the Western Church with St Gregory the Great, St Augustine and St Jerome. Other Doctors were added in 1568 and subsequently.
[89] Marginal reference Act. 10. Full reference is Act. 10. 10.
[90] Also Act. 10.
[91] Marginal reference Exho. 23 34. Deut. 16. The full references are Exod. 23. 17; ibid. 34. 23; Deut. 16. 16, where the three festivals are mentioned by name. PB uses the Greek terms Pascha and Pentecost, representing Passover and the Feast of Weeks respectively.
[92] Because PB uses Pascha he refers equally to Passover and Easter.
[93] Of the several people this could be, I would bet on Elkanah, father of Samuel, but the reference escapes me.
[94] Marginal reference Esa.40. Hier. In Psal.31.
[95] Isaiah 40.12. Found in Vulgate-based versions.
[96] cognatione.
[97] Literally safety (salus).
[98] auctore Deo.
[99] Marginal Reference 1. Cor. 13. The reference is to verse 13.
[100] Marginal Reference Cap. 4. The full reference is Eccles. 4. 12.
[101] Marginal Reference Cap.33. Vide Iohanem Bodinum Daemonom. Lib 1. Capi. 4. & Catenam auream in Iob, quam e Greco in Latinum transtulit Paulus Comitolus Perusinus Societatis Iesu. The Scriptural reference is to Job 33. There follows a reference to Jean Bodin’s 1580 publication De Magorum Daemonomania, and another toPaolo Comitoli’s Catena in Beatissimum Iob Absolutissima, Venice 1587. The inclusion of Bodin is interesting, as his work was placed on the Index of prohibited books in the 1590’s although it continued to circulate in Catholic regions(Jonathan Pearl’s introduction to the translation by Randy A. Scott, Toronto, 1995).
[102] This phrase secret compunction refers to instinctive remorse and has a long theological history.
[103] The digging of the well of Rehoboth ends Isaac’s conflict with the Philistines.
[104] Also known as Elijah.
[105] Marginal reference 3 Reg. 18; 1 Reg.18 in versions which number the Books of Samuel.
[106] Marginal reference, Cap.20.
[107]Marginal Reference 2.Cor.12. The passage refers to Saint Paul’s pleas to be relieved of the ‘thorn in his flesh’ which PB takes to be successful at the third time of asking.
[108] Marginal Reference Exho. 7 (Exod. 7)
[109] Marginal Reference Exho. 8 (Exod. 8)
[110] PB is flowing atradition of creative accounting: the mages achieved 3 miracles, but the first does not count, as it does not belong to the sequence of Plagues of Egypt. The word used for plague is actually plaga, a blow, in the usage which gives us the word plague meaning a disease.
[111] This seems to be a reference to the Glossa Ordinaria ad loc. but I am as yet unable to locate the version PB is using. The words quia per ipsam mentis corruptionem iniquissimi fuerunt are a virtual quotation from the version in Migne Patrologia Latina 113, but the meaning-changing substitution of iniquissimi for inquieti shows a departure from this. If PB’s primary reference is to the tradition of saying the mages failed in the third miracle and expounding this in a trinitarian form, this is attributed to Augustine ad loc. in the Strasbourg 1480 edition.
[112] Marginal Reference Matt. 4
[113] Marginal Reference [Ioh.] cap. 14.
[114] Marginal references Ezech. 1; Apoc. 4 [6-9]. The four animals which surround the throne of God in these passages are seen as types of the four Evangelists and have the attributes of a lion, calf, man and eagle respectively.
[115] Marginal reference Gen. 49. [9].
[116] Marginal Reference Num, 23. The reference is actually Num.24. 9, and the quotation is inaccurate.
[117] Aquinas Summa Theologica 1a 87. a. 1. arg. 2. Both the angelic and human soul belong to the genus of intellectual substance. No other created things do so.
[118] esse.
[119] The angelic intellect is constantly in active engagement with the being of the universe. If knowing is, literally, to have a thing in mind, then the angelic intellect actively comprehends the active being of everything that is, all the time. This is its activity, and it is not in the nature of the angelic intellect for it ever to cease. It is always actual, never potential. However I do not understand why it is a simple actuality – simplex omnium actus omnium: this seems to contradict Aquinas. Angeli autem essentia est quidem in genere intelligibilium ut actus, non tamen ut actus purus neque completus …sed cognoscit alia a se per eorum similitudines. ST 1a 87 a. 1.
[120] In Aquinas’ sense of ‘mental representations’, which might be understood to have a material aspect. The angelic soul does not have to learn through contact with the sensible universe as the human soul does. But vide Aquinas supra. PB seems to be using the attributes of God here? Because the angels should know through similitudines. Or are they different from species?
[121] As opposed to secundum quid; angelic intellect understands the universe unconditionally, in virtue of being what it is., Is that not God?
[122] per se.
[123] esse.
[124] The human mind has the capacity to become all intelligible things through thought.
[125] Is this not true also of human intellect?
[126] That is, the mean between the extremes. The sensibles are knowables, but have no power to know. The intellect of either kind knows or has the power to know, but is not sensible.
[127] The created universe is composed of angelic and human intellect and their objects.