objects of opinion are many things, and the ternary number denotes a multitude, as “Thrice happy Grecians;” for which reason Pythagoras admits the ternary. This sect of philosophers is called the Italic, by reason Pythagoras opened his school in Italy; his hatred of the tyranny of Polycrates enforced him to leave his native country Samos. Heraclitus and Hippasus of Metapontum suppose that fire gives the origination to all beings, that they all flow from fire, and in fire they all conclude; for of fire when first quenched the world was constituted. The first part of the world, being most condensed and contracted within itself, made the earth; but part of that earth being loosened and made thin by fire, water was produced; afterwards this water being exhaled and rarefied into vapors became air; after all this the world itself, and all other corporeal beings, shall be dissolved by fire in the universal conflagration. By them therefore it appears that fire is what gives beginning to all things, and is that in which all things receive their period. Epicurus the son of Neocles, the Athenian, his philosophical sentiments being the same with those of Democritus, affirms that the principles of all being are bodies which are perceptible only by reason; they admit not of a vacuity, nor of any original, but being of a self-existence are eternal and incorruptible; they are not liable to any diminution, they are indestructible, nor is it possible for them to receive any transformation of parts, or admit of any alterations; of these reason only is the discoverer; they are in a perpetual motion in vacuity, and by means of the empty space; for the vacuum itself is infinite, and the bodies that move in it are infinite. Those bodies acknowledge these three accidents, figure, magnitude, and gravity. Democritus acknowledged but two, magnitude and figure. Epicurus added the third, to wit, gravity; for he pronounced that it is necessary that bodies receive their motion from that impression which springs from gravity, otherwise they could not be moved. The figures of atoms cannot be apprehended by our senses, but they are not infinite. These figures are neither hooked nor trident-shaped nor ring-shaped, such figures as these being easily broken; but the atoms are impassible, impenetrable; they have indeed figures proper to themselves, which are discovered only by reason. It is called an atom, by reason not of its smallness but of its indivisibility; in it no vacuity, no passible affection is to be found. And that there is an atom is perfectly clear; for there are elements which have a perpetual duration, and there are animals which admit of a vacuity, and there is a unity. Empedocles the Agrigentine, the son of Meton, affirms that there are four elements, fire, air, earth, and water, and two powers which bear the greatest command in nature, concord and discord, of which one is the union, the other the division of beings. Thus he sings,