(Edited and formatted by George ALEFantes)

The Point Beyond Infinity. This concept is to be found in the most ancient traditions as well as in the most advanced mathematics. It haunted the poetic inspiration of Paul Valery, and one of our greatest living writers, the Argentinean Jorge Luis Borges, has made it the theme of his finest and most astonishing short story, entitled, significantly, "Alef." This is the name of the first letter of the alphabet in sacred language. In the Kabbalah it indicates the 'en-soph,' the center of total knowledge, the point from where the mind perceives in a flash the totality of all phenomenon, their causes, and their significance. The Point Beyond Infinity is the supreme point mentioned in the second Surrealist Manifesto, the 'Point Omega' of Father Teilhard de Chardin and the fulfillment of the alchemists' 'Great Work.' Borges has drawn on Kabbalistic and Alchemist sources and on Muslim legends. Other legends as old as humanity, evoke this Supreme Point, this Privileged Spot. The idea of the Transfinite: The most important and remarkable achievements in this field were made by a mathematician of genius, Georg Cantor, who died mad. Cantor demonstrates that there are more than an infinite number of points on a segment: The number Alef, equal to all its parts, the part equal to the whole. An Alef multiplied by any number will always be an Alef. Thus, there is something in common between contemporary higher mathematics and the Emerald Table of Hermes Trismegistus. It corresponds to a number which would be greater than anything one could conceive. There are not enough objects in the Universe which, if counted, would amount to an ALEF. The human mind is capable of reaching beyond the confines of the Universe and of forming concepts which the Universe could never fulfill. The paradox of Banach and Tarski: It is possible to take a sphere of normal dimensions, such as an apple, cut it into slices, then reassemble the slices to produce a sphere smaller than an atom or bigger than the sun. The cutting must be done with special surfaces which have no tangent plane. Though technically impracticable, most specialists believe this operation is theoretically sound: The neutrons in an atomic pile move in curves which have no tangent. Hindu experts in the Samadhi technique declare that they can grow as big as the Milky Way, or shrink to the dimensions of the smallest conceivable particle. If such a hypothesis corresponds to a mathematical-psycho-physical reality, we have the explanation of the Alchemists' 'Great Work,' of the supreme ecstasy met with in certain religions: The idea of a Transfinite point from which the whole Universe becomes perceptible.
The Morning of the Magicians, Louis Pauwels and Jacques Bergier, 1960

Aleph Cult

Circulo Aleph

Tarot Ibis Magician

How Nebuchadnezzar the Great King, being afflicted in his Spirit, did depart from among Men for Seven Years' Space, eating Grass as doth an Ox. Now this Ox is the Letter Aleph, and is that Atu of Thoth whose Number is Zero, and whose name is Maat, Truth, or Maut, the Vulture, he All-Mother, being an Image of Our Lady Nuith, but also it is called the Fool.
(Aleister Crowley)

For though Wisdom be the Second Emanation of His Essence, there is a path to separate and to join them, the Reference thereof being Aleph, that is One indeed, but also an Hundred and Eleven in his full Ortho graphy; to signify the Most Holy Trinity. And by metathesis it is Thick Darkness, and Sudden Death. This is also the Number of AUM, which is AMOUN, and the Root-Sound of OMNE or, in Greek, PAN; and it is a Number of the Sun. Yet is the Atu of Thoth that correspon deth thereunto marked with ZERO, and its Name is MAT, whereof I have spoken formerly.
(Aleister Crowley)

A. - The first letter in all the world-alphabets save a few, such for instance as the Mongolian, the Japanese, the Tibetan, the Ethiopian, etc. It is a letter of great mystic power and "magic virtue" with those who have adopted it, and with whom its numerical value is one. It is the Aleph of the Hebrews, symbolized by the Ox or Bull; the Alpha of the Greeks, the one and the first; the Az of the Slavonians, signifying the pronoun "I" (referring to the "I am that I am"). Even in Astrology, Taurus (the Ox or Bull or the Aleph) is the first of the Zodiacal signs, its colour being white and yellow. The sacred Aleph acquires a still more marked sanctity with the Christian Kabbalists when they learn that this letter typifies the Trinity in Unity, as it is composed of two Yods, one upright, the other reversed with a slanting bar or nexus. Kenneth R H Mackenzie states that "the Saint Andrew cross is occultly connected therewith." The divine name, the first in the series corresponding with Aleph, is AeHeIeH or Ahih, when vowelless, and this is a Sanskrit root.
http://www.theosophy-nw.org/theosnw/ctg/z.htm

The ALEF is formed by two yuds, one to the upper right and the other to the lower left, joined by a diagonal vav. These represent the higher and lower waters and the firmament between them.
Rabbi Isaac Luria of blessed memory, who received and revealed new insights into the ancient wisdom of Kabbalah

Groups that currently practice Kabbalah are the Hermetics, the Gnostics, the Neoplatists, the Pythagoreanists, the Rosicrucianists, Tantra, the English Order of the Golden Dawn, and the French magician Eliphas Levi. Some Kabbalists practice ritual magic - names of power, the magic circle, ritual implements, consecration, evocation of spirits, etc.
Colin Low, Hermetic Kabbalah, From http://www.digital-brilliance.com/kab/

The Hebrew Letters
The Mystical Significance of the Hebrew Letters
From http://www.inner.org/hebleter/alef.htm

Water is first mentioned in the Torah in the account of the first day of Creation: "And the spirit of G-d hovered over the surface of the water." At this time the higher and the lower waters were indistinguishable; their state is referred to as "water in water." On the second day of Creation G-d separated the two waters by "stretching" the firmament between them.

In the service of the soul, as taught in Chassidut, the higher water is water of joy, the experience of being close to G-d, while the lower water is water of bitterness, the experience of being far from G-d.

In Jewish philosophy, the two intrinsic properties of water are "wet" and "cold." The higher water is "wet" with the feeling of oneness with the "exaltation of G-d," while the lower water is "cold" with the feeling of separation, the frustration of experiencing the inherent "lowliness of man." Divine service, as taught by Chassidut, emphasizes that in fact the primary consciousness of both waters is the sense of the Divine, each from its own perspective: from the perspective of the higher water, the greater the "exaltation of G-d," the greater the oneness of all in His Absolute Being; from the perspective of the lower water, the greater the "exaltation of G-d," the greater the existential gap between the reality of G-d and that of man, thus the inherent "lowliness of man."

The Talmud tells of four sages who entered the "Pardes," the mystical orchard of spiritual elevation reached only through intense meditation and Kabbalistic contemplations. The greatest of the four, Rabbi Akiva, said to the others before entering, "When you come to the place of pure marble stone, do not say 'water-water,' for it is said, 'He who speaks lies shall not stand before my eyes.'" The Ari z"l explains that the place of "pure marble stone" is where the higher and the lower waters unite. Here one must not call out 'water-water,' as if to divide the higher and lower waters. "The place of pure marble stone" is the place of truth--the Divine power to bear two opposites simultaneously; in the words of Rabbi Shalom ben Adret: "the paradox of paradoxes." Here "the exaltation of G-d" and His "closeness" to man unite with the "lowliness of man" and his "distance" from G-d.

The Torah begins with the letter beit: "Bereishit (In the beginning) G-d created the heavens and the earth." The Ten Commandments, the Divine revelation to the Jewish People at Sinai, begin with the letter alef: "Anochi [I] am G-d your G-d who has taken you out of the land of Egypt, out of the house of bondage." The Midrash states that "higher reality" had been set apart from "lower reality," for G-d had decreed that neither higher reality descend nor lower reality ascend. In giving the Torah, G-d annulled His decree, He Himself being the first to descend, as it is written: "And G-d came down on Mount Sinai". Lower reality, in turn, ascended: "And Moses approached the cloud...." The union of "higher reality," the upper yud, with the "lower reality," the lower yud, by means of the connecting vav of Torah, is the ultimate secret of the letter alef.
The Paradox: G-d and Man
http://www.inner.org/hebleter/alef.htm

Constellation Taurus, which is Latin for "bull", is the second sign of the zodiac. In ancient astronomy the Chinese called it "White Tiger" or "Great Bridge" and for the Egyptians it represented the bull Apis, one form of Osiris. In Egypt and also in ancient Babylonia it was the first sign of the zodiac and they Babylonian astronomers subsequently called it Alef, after the first letter of their alphabet. The reason was that four thousand years ago, at spring equinox (vernal equinox) the sun would stand in this constellation. The spring equinox marked the start of the new year and it was an important time in the year, when it was time to start working in the fields with plowing and sowing.

The Eleventh path is the first letter of the Hebrew alphabet, Alef "A". It has a numerical value of 1. Each letter of the Hebrew alphabet has a corresponding numerical value and they range from one to 400 in unequivocal increments. Between 1 and 10, the increment increase is by one, between 10 and 100, the increments are ten, between 100 and 400 each increases by 100. According to Regardie, the method of Gematria, or implying the sense of numbers represented by letters, is an art of discovering the secret sense of a word by means of the numerical equivalents of each letter. Similar to the art of numerology, a total numerical sum of all letters is calculated in any given word, and words with identical sums have similar esoteric meanings. Applying Gematria to words in the scriptures is said to reveal hidden celestic messages.
http://www.omegapoint.org/occult/modules/news/article.php?storyid=16

Please note the word "unto" equals 61 in the English Kabbalah which is equivalent to Nun, Yod, Aleph meaning `nothing' in Hebrew.

Kabbalah: Kabbalah means "to receive" or "to accept." It is believed that when Moses brought the Ten Commandments from Mount Sinai he also brought with him oral law, or Kabbalah. People who know this secret oral tradition claim to know the true meaning of the Torah which has hidden messages. Therefore, the main principles of Kabbalah are a belief in the divinity of the Torah and that by studying the Torah you can understand the creation of the world. Kabbalists also believe that a prophet was someone "chosen by G-d as a mouth-piece." They saw G-d as a being not as an abstraction.
Low, Colin. Hermetic Kabbalah. "Frequently Asked Questions." From http://www.digital-brilliance.com/kab/

Kabbalah: "It is probably accurate to say that from the Renaissance on, virtually all occult philosophers and magicians of note had a working knowledge of some aspect of Kabbalah ..."
Low, Colin. Hermetic Kabbalah. "Frequently Asked Questions."

Kabbalah: Some Christians see Kabbalah as a way to reveal hidden meaning in scriptures and others see it as a mechanism to be used to convert Jews to Christianity. The main Christian Kabbalist leader was Giovanni Pico, Count of Mirandola. He claimed, "No science can better convince us of the divinity of Jesus Christ than magic and the Kabbalah."
Michael Walden. Kabbalistic Tarot: Table of Contents. "Introduction to Kabbalah." From http://www.tcd.net/~mwalden/qbl/contents.html

A simple calculation will show that at this rate the constellation Taurus (Hebrew Aleph) was in the first sign of the Zodiac at the beginning of the Kali Yuga, and consequently the Equinoctial point fell therein.
Theospohical Society's Glossary of Occult. From http://www.theosophy-nw.org/theosnw/ctg/ak-al.htm

INDEX Aleph (Heb letter A)
bull, ox, Taurus, etc II 551, 574
symbol of unity I 78
of Taurus & Christ I 656

Alternative Religions
The Tarot, Its Occult Significance, Use in Fortune-Telling, and Method of Play, Etc, S L MacGregor Mathers
Alternative Religion/ Library/ Tarot
http://altreligion.about.com/library/bl_thetarotoccultsignificance.htm

The 22 trumps are the hieroglyphic symbols of the occult meanings of the 22 letters of the Hebrew alphabet. They are numbered from 0 to 21 inclusive. (See Table.).

Italian French English Hebrew Letter
1 Il Bagatto Le Bateleur The Juggler or Magician Aleph
2 La Papessa La Papesse The High Priestess, or Female Pope Beth

The essential questions becomes, what is the actual Agarthan Insight, and how does it allow all these things to happen?
http://members.lycos.co.uk/Brit_Nephilim/articles/artargatha.htm

I believe that insight to be a specific, concrete insight, which has been described by mystics and authors for many, many years. It is called the Aleph.

The Aleph state is the insight that all human beings, indeed, all of existence is one thing. This is a difficult concept to grasp, so let me use specific example from art, literature and song to explain it better.

There is a Beatles song that expresses the insight so: "I am he and you are she and we are all together."

There is a short story by the famed author Jorge Luis Borges called the "The Aleph" which also talks about the insight. By observing through it, (for the Aleph is at a specific location in the story) the narrator sees the totality of all perceptions of the Cosmos.

The primary Hermetic insight, which is contained on the Emerald Tablet of Hermes Trismegistus, and reprinted on page 140 of the Nephilim rulebook, is that "as above, so below". This refers to the interconnectedness of all things. This is a shadow, I believe, of the Agarthan Insight.
http://www.borndigital.com/tree/esa/mercury.htm

The gematria of Aleph is one, It is useful to see the aleph-beyt as a Hebrew tale of creation, beginning with Aleph and ending with Tav. In this scheme, Bet is the contraction of Tzimtzum, coming after Aleph, the undifferentiated infinite.
Liber Aleph Vel Cxi: The Book of Wisdom or Folly, Aleister Crowley

"I have begotten thee, O my son, and that strangely, as thou knowest, upon the Scarlet Woman called Hilarion, as it was mysteriously foretold unto ..."

Alef Reiki is an ancient healing modality based on the Hebrew alphabet. Attuned practitioners do not need to know what illness the client has, or what symptoms are being experienced because primarily these are manifestations of a deeper problem hidden in other segments of the body.

ALEF Reiki practitioners do not use any symbols. Instead, he or she will invoke; or ask "ADONAI" (GOD) for help.

ALEF Reiki optimizes and accelerates the healing process. It can be effective in cases that do not respond to other forms of treatment. It can be also used in conjunction with any other therapeutic modality. Creative energy is the basis of Alef Reiki, the essence of all healing.
http://www.skatterhq.com/alefreiki.htm

The Blank Letter, The Nameless Name, The Soundless Sound Hebrew Name -Ain Sof, In Itself. Alef is the first of the three mother letters, and is linked by the Sephir Yetzira to the element Air. It corresponds to the first path on the tree of life linking Kether with Chokmah.

As well Crowley begins the essay with a reference to Biblical indications of hemp use by the Babylonian king Nebuchadnezzar, whom history has shown to have been a cannabis consumer through the Babylonian "sacred rites", in which all kings partook and which utilized cannabis. The "Beast" further sees the Biblical analogy to the Ox in the story, as being a Kabbalistic reference to the Hebrew letter Alef, which in fact is symbolic of an Ox and whose number is zero. Each of the twenty two glyphs of the Hebrew alphabet has both a number and a symbol attributed to it. Crowley's comment is seemingly inconsequential to the uninitiated but to those familiar with the Kabbalah it is loaded with implications. In Crowleyian view, the number zero, symbolized amongst other things, the number of the perfected initiate, who through rigorous work had undone his view of dualism and construct of personality, has achieved Samahdi and walks in the "Tao". In the Tarot deck, such an individual is symbolized by the "Fool", and thus the reference to the "Fool" in Crowley's esoteric piece of cannabis lore, and its location under the heading of the "Fool", in Crowley's explanation of the Tarot, The Book of Thoth.
Chris Bennett, The Great and Wild Beast 666 and the Devil's Weed. From http://www.BeastBay.Com

Aleph. (Hebrew ALP, "ox") The first letter of the Hebrew alphabet, one of the three mother letters, Aleph represents a glottal stop in classical and modern Hebrew (not, as often claimed, the sound a). Its numerical value is one. Its most common correspondences are as follows:
Path of the Tree of Life: Path 11, Kether to Chokmah.
Astrological Correspondence: Air.
Tarot Correspondence: Trump 0, the Fool.
Part of the Cube of Space: Above-below axis.
Colors: in Atziluth - bright pale yellow.
in Briah - sky blue.
in Yetzirah - bluish emerald green.
in Assiah - emerald green, flecked with gold.

Its text from the Thirty-two Paths of Wisdom runs: "The Eleventh Path is the Scintillating Intelligence, because it is the essence of that curtain which is placed close to the order of the disposition, and this has a special dignity given to it that it may be able to stand before the face of the Cause of Causes." In Kabbalistic lore, Aleph represents the hidden essence of the divine, as distinct from the creative power represented by the letter Beth. Renaissance Kabbalists also drew a distinction between the bright Aleph, the aspect of the divine essence from which Creation proceeds, and the dark Aleph, the aspect of the divine essence from which chaos and destruction proceed. see also Kabbalah; Hebrew alphabet.
The New Encyclopedia of the Occult, John Michael Greer, Llewellyn Publications, St. Paul, Minnesota

We shall now instruct you in the magical formulae and rituals of the Middle Pillar. First we shall communicate information regarding the formulae of the Middle Pillar; then shall we impart information regarding the Golden Dawn Middle Pillar Exercise, which is, to all intents and purposes, a Magical Ritual of Self-Initiation. That is, it is a magical method of commencing the subtle and inevitable process of uniting human consciousness with the divine consciousness, which is symbolized universally by the Light. In other words, it is a dynamic method of the Great Work.
The Llewwllyn Encyclopedia, from http://www.llewellynencyclopedia.com/term/Alef

... and the Middle Pillar corresponds with the letter Aleph (Air).

"The Great Work is the raising of the whole man in perfect balance to the power of Infinity"
Aleister Crowley

The Formulae and Rituals of the Middle Pillar, David Cherubim

In addition, some known mathematical phenoma already exhibit the Godel incompleteness property. For instance, in set theory mathematicians define different degrees of infinity based on the number of members of the set of all integers, rational numbers or reals. The first degree of infinity, called (aleph-nought), is the number of integers or the number of rational numbers (these numbers are the same "degree of infinity"). The second degree of infinity is aleph-nought raised to the power aleph-nought. For a long time people were trying to decide whether 'C', the number of real numbers, was the same as the second degree of infinity. Finally it was proven that whether C and 2nd infinity were equivalent came down to the truth or falsehood of a statement that could not be proven from the existing axioms of mathmatics. This statement was absorbed as a new axiom, just as Godel statements would have to be. So there is the first of many Godel-style statements that we'll probably see popping up in mathematics. Godel's Incompleteness Theorem.
Myrkul.Org

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