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Thales the Milesian doth affirm that water is the principle from whence all things in the universe spring. This person appears to be the first of philosophers; from him the Ionic sect took its denomination, for there are many families and successions amongst philosophers. After he had professed philosophy in Egypt, when he was very old, he returned to Miletus. He pronounced, that all things had their original from water, and into water all things are resolved. His first ground was, that whatsoever was the prolific seed of all animals was a principle, and that is moist; so that it is probable that all things receive their original from humidity. His second reason was, that all plants are nourished and fructified by that thing which is moist, of which being deprived they wither away. Thirdly, that that fire of which the sun and stars are made is nourished by watery exhalations,—yea, and the world itself; which moved Homer to sing that the generation of it was from water:—

Anaximander, who himself was a Milesian, assigns the principle of all things to the Infinite, from whence all things flow, and into the same are corrupted; hence it is that infinite worlds are framed, and those dissolve again into that whence they have their origin. And thus he farther proceeds, For what other reason is there of an Infinite but this, that there may be nothing deficient as to the generation or subsistence of what is in Nature? There is his error, that he doth not acquaint us what this Infinite is, whether it be air, or water, or earth, or any other such like body. Besides he is mistaken, in that, giving us the material cause, he is silent as to the efficient cause of beings; for this thing which he makes his Infinite can be nothing but matter; but operation cannot come about in the sphere of matter, except an efficient cause be annexed.

Anaximenes his fellow-citizen pronounceth, that air is the principle of all beings; from it all receive their original, and into it all return. He affirms that our soul is nothing but air; it is that which constitutes and preserves; the whole world is invested with spirit and air. For spirit and air are synonymous. This person is in this deficient, in that he concludes that of pure air, which is a simple body and is made of one only form, all animals are composed. It is not possible to think that a single principle should be the matter of all things, from whence they receive their subsistence; besides this there must be an operating cause. Silver (for example) is not of itself sufficient to frame a drinking cup; an operator also is required, which is the silversmith. The like may be applied to vessels made of wood, brass, or any other material.

Anaxagoras the Clazomenian asserted Homoeomeries (or parts similar or homogeneous) to be the original cause of all beings; it seemed to him impossible that anything could arise of nothing or be dissolved into nothing. Let us therefore instance in nourishment, which appears simple and uniform, such as bread which we owe to Ceres and water which we drink. Of this very nutriment, our hair, our veins, our arteries, nerves, bones, and all our other parts are nourished. These things thus being performed, it must be granted that the nourishment which is received by us contains all those things by which these of us are produced. In it there are those particles which are producers of blood, bones, nerves, and all other parts; these particles (he thought) reason discovers for us. For it is not necessary that we should reduce all things under the objects of sense; for bread and water are fitted to the senses, yet in them there are those particles latent which are discoverable only by reason. It being therefore plain that there are particles in the nourishment similar to what is produced by it, he terms these homogeneous parts, averring that they are the principles of beings. Matter is according to him these similar parts, and the efficient cause is a Mind, which orders all things that have an existence. Thus he begins his discourse: "All things were confused one among another; but Mind divided and brought them to order." In this he is to be commended, that he yokes together matter and an intellectual agent.

Archelaus the son of Apollodorus, the Athenian, pronounceth, that the principles of all things have their origin from an infinite air rarefied or condensed. Air rarefied is fire, condensed is water.

These philosophers, the followers of Thales, succeeding one another, made up that sect which takes to itself the denomination of the Ionic.

Pythagoras the Samian, the son of Mnesarchus, from another origin deduces the principles of all things; it was he who first called philosophy by its name. He thought the first principles to be numbers, and those symmetries in them which he styles harmonies; and the composition of both he terms elements, called geometrical. Again, he places unity and the indefinite binary number amongst the principles. One of these principles ends in an efficient and forming cause, which is Mind, and that is God; the other to the passive and material part, and that is the visible world. Moreover, the nature of number (he saith) consists in the ten; for all people, whether Grecians or barbarians, reckon from one to ten, and thence return to one again. Farther he avers the virtue of ten consists in the quaternion; the reason whereof is this,—if any person start from one, and add numbers so as to take in the quaternary, he shall complete the number ten; if he passes the four, he shall go beyond the ten; for one, two, three, and four being added up together make ten. The nature of numbers, therefore, if we regard the units, abideth in the ten; but if we regard its power, in the four. Therefore the Pythagoreans say that their most sacred oath is by that god who delivered to them the quaternary.