Nor did the “Hierogram within a Circle, or equilateral Triangle,” ever mean “the exemplification of the unity of the divine Essence”; for this was exemplified by the plane of the boundless Circle. What it really meant was the triune coëqual Nature of the first differentiated Substance, or the con-substantiality of the (manifested) Spirit, Matter and the Universe—their “Son”—which proceeds from the Point, the real, Esoteric Logos, or Pythagorean Monad. For the Greek Monas signifies “Unity” in its primary sense. Those unable to seize the difference between the Monad—the Universal Unit—and the Monads or the manifested Unity, as also between the ever-hidden and the revealed Logos, or the Word, ought never to meddle with Philosophy, let alone with the Esoteric Sciences. It is needless to remind the educated reader of Kant's Thesis to demonstrate his second Antinomy.[1053] Those who have read and understood it will see clearly the line we draw between the absolutely ideal Universe and the invisible though manifested Kosmos. Our Gods and Monads are not the Elements of extension itself, but only those of the invisible Reality which is the basis of the manifested Kosmos. Neither Esoteric Philosophy, nor Kant, to say nothing of Leibnitz, would ever admit that extension can be composed of simple or unextended parts. But theologian-philosophers will not grasp this. The Circle and the Point—the latter retiring into and merging with the former, after having emanated the first three Points and connected them with lines, thus forming the first noumenal basis of the Second Triangle in the Manifested World—have [pg 674] ever been an insuperable obstacle to theological flights into dogmatic empyreans. On the authority of this Archaic Symbol, a male, personal God, the Creator and Father of all, becomes a third-rate emanation, the Sephira standing fourth in descent, and on the left hand of Ain Suph, in the Kabalistic Tree of Life. Hence, the Monad is degraded into a Vehicle—a “Throne”!

The Monad—the emanation and reflection only of the Point, or Logos, in the phenomenal World—becomes, as the apex of the manifested equilateral Triangle, the “Father.” The left side or line is the Duad, the “Mother,” regarded as the evil, counteracting principle;[1054] the right side represents the “Son,” “his Mother's Husband” in every Cosmogony, as being one with the apex; the base line is the universal plane of productive Nature, unifying on the phenomenal plane Father-Mother-Son, as these were unified in the apex, in the supersensuous World.[1055] By mystic transmutation they became the Quaternary—the Triangle became the Tetraktys.

This transcendental application of geometry to cosmic and divine theogony—the Alpha and the Omega of mystical conception—was dwarfed after Pythagoras by Aristotle. By omitting the Point and the Circle, and taking no account of the apex, he reduced the metaphysical value of the idea, and thus limited the doctrine of magnitude to a simple Triad—the line, the surface, and the body. His modern heirs, who play at Idealism, have interpreted these three geometrical figures as Space, Force, and Matter—“the potencies of an interacting Unity.” Materialistic Science, perceiving but the base line of the manifested Triangle—the plane of Matter—translates it practically as (Father)-Matter, (Mother)-Matter, and (Son)-Matter, and theoretically as Matter, Force, and Correlation.

But to the average Physicist, as remarked by a Kabalist:

Space, and Force, and Matter, are what signs in Algebra are to the Mathematician, merely conventional symbols, or Force as Force, and Matter as Matter, are as absolutely unknowable as is the assumed empty space in which they are held to interact.[1056]

Symbols represent abstractions, and on these

The physicist bases reasoned hypotheses of the origin of things ... he sees three needs in what he terms creation: A place wherein to create. A medium by which to create. A material from which to create. And in giving a logical expression to this hypothesis through the terms space, force, matter, he believes he has proved the existence of that which each of these represents as he conceives it to be.[1057]

The Physicist who regards Space merely as a representation of our mind, or extension unrelated to things in it, which Locke defined as capable of neither resistance nor motion; the paradoxical Materialist, who would have a void there, where he can see no Matter, would reject with the utmost contempt the proposition that Space is

A substantial though [apparently an absolutely] unknowable living Entity.[1058]

Such is, nevertheless, the Kabalistic teaching, and it is that of Archaic Philosophy. Space is the real World, while our world is an artificial one. It is the One Unity throughout its infinitude: in its bottomless depths as on its illusive surface; a surface studded with countless phenomenal Universes, Systems and mirage-like Worlds. Nevertheless, to the Eastern Occultist, who is an objective Idealist at bottom, in the real World, which is a Unity of Forces, there is “a connection of all Matter in the Plenum,” as Leibnitz would say. This is symbolized in the Pythagorean Triangle.