Quaestiones Convivales

Then said Ammonius to Herod: We have no reason to be angry with you for grasping all the Muses, since the goods that friends have are common, and Jove hath begotten a great many Muses, that every man may be plentifully supplied; for we do not all need skill in hunting, military arts, navigation, or any mechanical trades; but learning and instruction is necessary for every one that

Eats the fruits of the spacious earth.[*](From Simonides.)

And therefore Jove made but one Minerva, one Diana, one Vulcan, but many Muses. But why there should be nine, and no more nor less, pray acquaint us; for you, so great a lover of, and so well acquainted with, the Muses, must certainly have considered this matter. What difficulty is there in that? replied Herod. The number nine is in every body’s mouth, as being the first square of the first odd number; and as doubly odd, since it may be divided into three equal odd numbers. Ammonius with a smile subjoined: Boldly said; and pray add, that this number is composed of the first two cubes, one and eight, and according to another composition of two triangles, three and six, each of which is itself perfect. But why should this belong to Muses more than any other of the Gods? For we have nine Muses, but not nine Cereses, nine Minervas or Dianas. For I do not believe you take it for a good argument, that the Muses must be so many, because their mother’s name (Mnemosyne) consists of just so many letters. Herod smiling, and every body being silent, Ammonius desired our opinions.

My brother said, that the ancients celebrated but three Muses, and that to bring proofs for this assertion would be pedantic and uncivil in such a company. The reason of this number was (not as some say) the three different sorts of music, the diatonic, the chromatic, and harmonic, nor those stops that make the intervals nete, mese, and hypate; though the Delphians gave the Muses this name erroneously, in my opinion, appropriating it to one science, or rather to a part of one single science, the harmoniac part of music. But, as I think, the ancients, reducing all arts and sciences which are practised and performed by reason or discourse to three heads, philosophy, rhetoric, and mathematics, accounted them the gifts of three Gods, and named them the Muses. Afterwards, about Hesiod’s time, the sciences being better and more thoroughly looked into, men subdividing them found that each science contained three different parts. In mathematics are comprehended music, arithmetic, and geometry; in philosophy are logic, ethics, and physics. In rhetoric, they say the first part was demonstrative or encomiastic, the second deliberative, the third judicial. None of all which they believed to be without a God or a Muse or some superior power for its patron, and did not, it is probable, make the Muses equal in number to these divisions, but found them to be so. Now, as you may divide nine into threes, and each three into as many units; so there is but one rectitude of reason, which is employed about the supreme truth, and which belongs to the whole in common, while each of the three kinds of science has three Muses assigned to it, and each of these has her separate faculty assigned to her, which she disposes and orders. And I do not think the poets and astrologers will find fault with us for passing over their professions in silence, since they

know, as well as we, that astrology is comprehended in geometry, and poetry in music.