The Banquet (Il Convito)

by Dante Alighieri

And the Heaven of Venus may be compared to Rhetoric because of two properties: the one is the brightness of its aspect, which is most sweet to behold, far more than any other star; the other is its appearance, now in the morning, now in the evening. And these two properties are in Rhetoric: for Rhetoric is the sweetest of all Sciences, since it principally aims at sweetness. It appears in the morning, when the Rhetorician speaks before the face of the hearer; it appears in the evening, that is, afterwards, when it speaks by Letters in distant parts.

And the Heaven of the Sun may be compared to Arithmetic because of two properties: the one is, that with his light all the other stars are informed; the other is that the eye cannot gaze at it. And these two properties are in Arithmetic, which with its light illuminates all its Sciences: for their subjects are all considered under some Number, and with Number one always proceeds in the consideration of these; as in Natural Science the movable body is the subject, which movable body has in itself three reasons of continuity, and this has in itself reason of infinite number. And of Natural Science its first and chiefest consideration is to consider the principles of natural objects, which are three, that is, matter, privation, and form; in which this Number is seen, and not only in all together, but again in each one, as he who considers subtly may perceive. Wherefore, Pythagoras, according to what Aristotle says in the first book of the Physics, established as the principles of natural things, the equal and the unequal; considering all things to be Number. The other property of the Sun is again seen in Number, of which Number is the Science of Arithmetic, that the eye of the intellect cannot gaze at it. For Number, inasmuch as it is considered in itself, is infinite; and this we cannot, understand.

And the Heaven of Mars may be compared to Music because of two properties. One is its most beautiful relative position; for, when enumerating the movable Heavens, from which one soever you may begin, either from the lowest or from the highest, this Heaven of Mars is the fifth; it is the central one of all, that is, of the first, of the second, of the third, and of the fourth. The other is, that this Mars dries up and burns things, because his heat is like to that of fire; and this is why it appears flaming in colour, sometimes more and sometimes less, according to the density and rarity of the vapours which follow it, which of themselves are often kindled, as is determined in the first book on Meteors. And, therefore, Albumassar says that the kindling of these vapours signifies the death of Kings and the change of Kingdoms; for they are the effects of the dominion of Mars. And, therefore, Seneca says that, on the death of Augustus, he beheld on high a ball of fire. And in Florence, at the beginning of its destruction, there was seen in the air, in the form of a cross, a great quantity of these vapours following the planet Mars. And these two properties are in Music, which is all relative, as is seen in harmonized words and in songs, from which the sweeter harmony results in proportion as the relation is more beautiful, which in this Science is especially beautiful, because there is in it a special harmony. Again, Music attracts to itself human spirits, which are as it were chiefly vapours from the heart, so that they almost cease from all labour; so is the whole soul when it hears it, and the power of all those spirits flies as it were to the spirit of sense, which receives the sound.

And the Heaven of Jupiter can be compared to Geometry because of two properties. The one is, that it moves between two Heavens, repugnant to its good tempering, namely, that of Mars and that of Saturn. Hence Ptolemy says, in the book alluded to, that Jupiter is a star of a temperate complexion, midway between the cold of Saturn and the heat of Mars. The other is, that amongst all the stars it appears white, as if silvered. And these things are in the Science of Geometry. Geometry moves between two things antagonistic to it; as between the point and the circle, and I term circle freely anything that is round, either a body or superfices; for, as Euclid says, the point is the beginning of Geometry, and, according to what he says, the circle is the most perfect figure in it, which must therefore have reason for its end; so that between the point and the circle, as between the beginning and the end, Geometry moves. And these two are antagonistic to its certainty; for the point by its indivisibility is immeasurable, and the circle, on account of its arc, it is impossible to square perfectly, and therefore it is impossible to measure precisely. And again, Geometry is most white, inasmuch as it is without spot of error, and it is most certain in itself, and by its handmaid, called Perspective.

And the Heaven of Saturn has two properties because of which it can be compared to Astrology. One is the slowness of its movement through the twelve signs; for twenty-nine years and more, according to the writings of the Astrologers, is the time that it requires in its orbit. The other is, that above all the other planets it is highest. And these two properties are in Astrology, for in completing its circle, as in the acquirement of this Science, the greatest space of time is revolved, because its demonstrations are more than any other of the aforementioned Sciences, and long experience is requisite to those who would acquire good judgment in it. And again, it is the highest of all the others, because, as Aristotle says in the commencement of his book on the Soul, the Science is high, because of its nobility, and because of the nobleness of its subject and its certainty. And this Science more than any other of those mentioned above is noble and high, for noble and high is its subject, which is the movement of the Heavens; and high and noble, because of its certainty, which is without any defect, even as that which springs from the most perfect and most regular principle. And if any one believe that there is defect in it, it is not on the part of the Science, but, as Ptolemy says, it is through our negligence, and to that it must be imputed.

CHAPTER XV.

After the comparisons which I have made of the seven first Heavens, we must now proceed to the others, which are three, as has been often stated.

I say that the Starry Heaven may be compared to Physics because of three properties, and to Metaphysics because of three others. For it shows us of itself two visible things, such as the multitude of stars and such as the Galaxy, that white circle which the common people call the Path of St. James. It shows to us also one of the poles, and keeps the other hidden from us. And it shows to us one movement alone from East to West; and another, which it makes from West to East, it keeps almost, as it were, hidden from us. Therefore, in due order are to be seen, first the comparison with the Physical and then that with the Metaphysical.

I say that the Starry Heaven shows us many stars; for, according to what the wise men of Egypt have seen, even to the last star which appeared to them in the Meridian, they place there twenty-two thousand bodies of stars, of which I speak. And in this it has the greatest similitude with Physics, if these three numbers, namely, Two, and Twenty, and Thousand, are regarded well and subtly. For by the two is meant the local movement, which is of necessity from one point to another; and by the twenty is signified the movement of the alteration, for, since from the ten upwards one advances not except by altering this ten with the other nine and with itself; and the most beautiful alteration which it receives is its own with itself, and the first which it receives is the twenty; reasonably by this number the said movement is signified. And by the thousand is signified the movement of increase, which in name, that is, this thousand, is the greater number, and to increase still more is not possible except by multiplying this. And these three movements alone are observed in Physics, as it is demonstrated in the fifth chapter of his first book.

And because of the Milky Way, this Heaven has a great similitude with Metaphysics. Wherefore, it is to be known that concerning this Galaxy the Philosophers have had different opinions. For the followers of Pythagoras said that the Sun at some time or other went astray from his path, and, passing through other parts not suitable to his fervent heat, he burnt the place through which he passed, and there remained that appearance of the conflagration. And I believe that they were moved by the fable of Phaeton, which Ovid relates in the beginning of the second part of his Metamorphoses. Others said, such as Anaxagoras and Democritus, that it was the light of the Sun reflected into that part. And these opinions, with demonstrative reasons, they proved over and over again. What Aristotle may have said of this is not so easy to learn, because his opinion is not found to be the same in one translation as in the other; and I believe that it might be due to the error of the translators, for in the new one he seems to say that the Galaxy is a collection of vapours under the stars of that part which always attract them; and this does not seem to be the true reason. In the old translation he says that the Galaxy is no other than a multitude of fixed stars in that part, so small that we cannot distinguish them from here below, but that they cause the whiteness which we call the Milky Way. And it may be that the Heaven in that part is more dense, and therefore retains and represents that light; and this opinion Avicenna and Ptolemy seem to share with Aristotle. Therefore, since the Galaxy is an effect of those stars which we cannot see, if we understand those things by their effect alone, and Metaphysics treats of the first substances, which we cannot similarly understand except by their effects, it is evident that the Starry Heaven has a great similitude to Metaphysics.