“There are such things as metamathematics and metageometry…”

DAILY THEOSOPHY QUOTES

Tuesday 4th June 2013

“From the very beginning of Aeons – in time and space in our Round and GlobePythagorean Triangle – the Mysteries of Nature (at any rate, those which it is lawful for our races to know) were recorded by the pupils of those same now invisible “heavenly men,” in geometrical figures and symbols. The keys thereto passed from one generation of “wise men” to the other. Some of the symbols, thus passed from the east to the west, were brought therefrom by Pythagoras, who was not the inventor of his famous “Triangle.” The latter figure, along with the plane cube and circle, are more eloquent and scientific descriptions of the order of the evolution of the Universe, spiritual and psychic, as well as physical, than volumes of descriptive Cosmogonies and revealed “Geneses.” The ten points inscribed within that “Pythagorean triangle” are worth all the theogonies and angelologies ever emanated from the theological brain. For he who interprets them – on their very face, and in the order given – will find in these seventeen points (the seven Mathematical Points hidden) the uninterrupted series of the genealogies from the first Heavenly to terrestrial man. And, as they give the order of Beings, so they reveal the order in which were evolved the Kosmos, our earth, and the primordial elements by which the latter was generated. Begotten in the invisible Depths, and in the womb of the same “Mother” as its fellow-globes – he who will master the mysteries of our Earth, will have mastered those of all others.” …

“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 the 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.

“It consists of ten points inscribed pyramid-like (from one to the last four) within its three lines, and it symbolizes the Universe in the famous Pythagorean Decad. The upper single dot is a Monad, and represents a Unit-Point, which is the Unity from whence all proceeds, and all is of the same essence with it. While the ten dots within the triangle represent the phenomenal world, the three sides of the equilateral triangle which enclose the pyramid of dots are the barriers of noumenal Matter, or Substance, that separate it from the world of Thought.” …

“There are such things as metamathematics and metageometry. Even mathematics pure and simple proceed from the Universal to the particular, from the mathematical, hence indivisible Point, to solid figures. The teaching originated in India, and was taught in Europe by Pythagoras, who, throwing a veil over the Circle and the Point – which no living man can define except as incomprehensible abstractions – laid the origin of the differentiated Cosmic matter in the basic or horizontal line of the Triangle. Thus the latter became the earliest of geometrical figures.”

– H.P. Blavatsky, The Secret Doctrine Vol. 1, p. 612-613, 615-616

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~ Blavatsky Theosophy Group UK ~

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