of multiplying or dividing—multiply anything by "1"; or divide anything by "1," and the thing remains unchanged. Multiply or divide "1" by itself, and the answer still is "1," showing that the Absolute cannot be increased or divided, even by itself. Subtract "1" from itself, and the result is "0," showing that if the Absolute were subtracted from it would cease to exist, and there would be naught left but the Infinite Nothingness. Then the Teachers called the attention of the pupil to the Zero, or "Infinite Nothing" symbol, i. e., "0." In itself, "0" means Nothing. Multiply or divide anything by "0," and the answer is always "0." Multiply "0" by itself, and "0" remains—the Infinite cannot increase itself, for in its circle it includes All Possibility. But divide "0" by itself— and lo! "0 into 0 goes 1 time": the answer is "1." showing that if the Infinite be divided by itself, the Absolute is found to be at its centre, undisturbed, independent, self-existent. The symbol of Infinity, in mathematics, however, is not "0" or Unmanifest Infinity, but ∞ which indicates Manifest Infinity, the symbol always indicating endless continuation of action.
Now the symbol of the Infinite Nothing, becoming Infinite Everything. Place a string of "0's," as follows: 000,000,000,000,000—you see that they still mean "Nothing." Now place "1" (the symbol of the Absolute), before the string and we have 1,000,000,000,000,000, which we may enlarge to infinite number by the addition of "0's." Or place the Absolute "1," behind the string, and we have .000,000,000.000,000,1, a very small decimal, which may be carried to infinitesimal smallness by the addition of "0's." Thus we see, by symbols, that the action of the Absolute Law on the Infinite Nothingness produces Infinite Greatness, or Infinite Smallness.
Now that you understand that Infinity means the Infinite Possibility of Things, rather than an Infinite Manifest Thing, you may be able to see that the Infinity of Nothingness of the Arcane Teaching is not quite so irrational as it appeared at first sight. In order to realize the truth of the Aphorism still more forcibly, let us consider what Infinity (even in the ordinary use of the term) really is. You will find that all thought if analyzed, implies the Nothingness of Infinity.
Non-Being, or Nothingness, was always regarded by certain schools of the ancient Greek philosophy, as existent in a philosophical sense. Empty space was considered as truly existent as the atoms which afterward appeared in space. Plato regarded Empty Space as the matrix, or mould, in which the universe was formed. He held that there was possible an abstract realization of pure empty space, which is Nothing; the Void, which is the all-containing receptacle of creative energy, and in which being, first distinguished into geometrical figures, becomes the framework of the physical world. Scotus held that since Deity creates the world out of Nothing, then Nothing must exist as an emanation of Deity. Hegel distinguished between a "nicht" or "Not"; and a "nichts," or "Nothing." Theology has always held that Deity "created the universe from Nothing," thereby implying at least a quasi-existence of Infinite Nothingness. Spinoza recognized an "infinitely infinite" which is practically an Infinite Nothing. Plato said that "Space as a Thing is incredible, difficult of explanation, most difficult to comprehend." And Zeno, the Eleatic, said: "If Space is a Thing, it must be in Something, and so in Space; for everything that is, is in Something, and so in Space; and so on ad infinitum. Therefore, Space is not a Thing." So much for the philosophers. Let us see what our own reason informs us.
Let us first examine the idea of Space. Space is the mental symbol for Infinity. Consider yourself as standing at a fixed point in Space—then you must realize that there exists an infinite distance or extension in Space, from that point, in an infinite number of directions. Leaving out of consideration all objects in space—considering Pure Empty Space—and you must see that there is an endless extension possible, in innumerable directions— extension without end. Imagine a number of miles represented in a row of figures extending from earth to the most distant star; then multiply that number by itself; and then the product by itself; and so on, for a time equal to the number of years since the Cosmic Day began. Then you would have a number of miles, the written figures of which would fill all the space that your mind is able of even conceiving. Then think of a Being traveling to the extent of that measurement—would he then be near the end of space? No! the distance traveled by him would be as a mathematical "Nothing" or Zero, compared with Infinite Space. No mathematician could have figured out the infinitesimal smallness of the fraction denoting the comparison, were he to have worked continually since the dawn of the Cosmic day. The calculation would be endless, because the result would be infinitesimal, and at the end, he would have to place the sign of "infinity" back of it. Just think! To be able to travel for all Eternity through Space without coming to an end! You cannot come to an end of Space, even in thought or imagination—try it! You will find that think as far as you will into Space, there must always be Infinite Space beyond that imagined point. There is "no up or down" in Space. Space is something with its centre everywhere, and its circumference nowhere. At the last, philosophy and science are compelled to hold that "Space is merely the possibility of infinite extension; or the infinite possibility of extension"—to the Universal Ether. In the end, Ether is called the Great Mystery of Science. It must be considered as a Nothing that is a Something. A leading scientific lecturer said, and wrote, recently: "The Ether is unconditioned, an entity of no properties but of all possibilities, or, more exactly, not an entity at all, but an infinite possibility." And, so we find, even Matter and Things themselves, arising from and being resolved into an Infinite Nothingness that is also Infinite Possibility.
Now, for a moment, let us endeavor to imagine the condition or state of the Infinity of Nothingness—the Unmanifest Cosmos—during the Cosmic Night, and before the faintest dawn of the new Cosmic Day. The Three Cosmic Principles are resolved into the condition of the Unmanifest, but are not destroyed—there are Nothing, but not "Not!" The Three Cosmic Principles are Substance; Motion; and Consciousness, respectively. Substance has assumed its most subtle form, infinitely rarer and finer than the finest ether— it is practically Nothing, but yet exists in latency, possibility, and promise. Motion has assumed a rate of vibration so high that it is practically at Rest, although not destroyed —it is still Motion in latency. Consciousness has assumed the condition of a deep unconsciousness—a profound dreamless sleep; a swoon following upon the infinite ecstasy of the Supreme Cosmic Consciousness of the previous Cosmic Day. It knows Nothing; is conscious of Nothing—for there is but Nothing of which it could be conscious, or could know, for all manifestation has ceased until the dawn of the new Cosmic Day. It is even unconscious of the presence and power of The Law, although The Law still reigns over it, and will awaken it once more, as it has many times before, in the Eternal Chain of Cosmic Days and Nights.
The Cosmos sleeps in the condition of Infinite Nothingness—the Unmanifest! The Abyssmal Abyss—the Eternal Deep—the Face of the Waters—the Void—the Cosmic Womb! The Mother Sleeps! The Laws of Cyclic Rhythm have brought to Her the Rest of the Cosmic Night! But she will awaken and greet her Supreme Lord at the dawn of the Cosmic Day. From the Cosmic Womb will proceed The Cosmic Will, which will manifest the universe of universes; infinitudes of infinitudes of shape, form, and variety, of things, life, and beings. In her Existence is the Promise of all that Shall Be throughout the Ages and Aeons of Eternities of Eternities. The Mother sleeps, sleeps, sleeps! But, through the Night, as through the Day, The Law is, immutable, unchanged, Absolute.
Part II. The Cosmos.
Lesson VI. Involution and Evolution.
Lesson IV. The Manifestation.
THIS IS the Arcane Teaching regarding the process whereby the