Well "reason" is excluded from Scientism at the start - the Universe always has to come from nowhere for no purpose.
I got far enough in
The Book Of Thoth to get the "0=2" idea and that makes sense.
The point about trinities is also thought provoking, it's making me think of a trinity ...
Space-time as the setting in which the above can interact to develop something interesting.
This is one of the hermetic principles we can observe throughout nature. Sometimes it seems its base is 4, but on examination it is the 'relationship between' 3 and 4 ... or 4 things are formed as the first 3 makes an overall thing ( the thing itself is the 4th principle - eg 'earth; is a combiataion of the other 3 elements ... or the 3 points and sides of a triangle make up the thing itself, the 4th thing is the triangle ... we have gone from a concept of 3 in the ideal world, to a ting itself, on the earth plane - a triangle.
It is everywhere in nature.
For us, it all starts with duality.
As one implies two, two implies three. Via the process in 2 a new view is formed, a ‘new’ view of the self as gained by contemplation or awareness of the self. [Or the vibration of the ‘string’ forms a ‘particle’ or ‘energy field’.] Something has been gained, even if it is ‘just’ internal experience. In geometry this is symbolised by the concept of ‘surface’. It is also represented by the triangle. The triangle represents structure, order and form, definition and rigidity. It represents either; Singularity further explained by its polarities or a mediating ‘middle path’ between two polarities. With 3 ‘space’ has been created; up/down, left/right, forwards/backwards.
Now we begin to see how maps of 3 can be useful; The three Gunas – rajas, satvas and tamas, the three alchemical principles – sulphur, salt and mercury, The Holy Trinity – Father, Son, Holy Spirit, the three primary colours – red blue yellow and many other things like; Yin, Yang, Tao, even in electricity – positive, negative and current or temperature, moisture, light or Mother Father Child (to cut through all the mythic terminology). (In Thelema the ‘product’ of Hadit and Nuit {who represents zero or the circle – whose radius is infinite as Hadit represents the point or centre of the circle, which is located everywhere} is Ra Hoor Khuit; motion or ‘force’.
But with three we are still in the realm of idea, or the ideal world. It is a little beyond our normal comprehension and experience (which is why people have always used symbols, like maps or hieroglyphs or gods).
On the Tree of Life of the Kabbalah this ‘Supernal Triad’ lies above the ‘Abyss’.
Energies ‘travelling’ into manifestation pass through the third Sphere, Binah and become formulated, solidified, restricted and directed to become further manifest in the fourth realm. Alternatively, energies travelling ‘up’ the Tree, towards duality, unity and beyond, become liberated from form and restriction and Binah becomes a realm of liberation. [In the realm of physics this is the 3-D world of matter.]
As two implied three, three implies four. The energies manifesting in four take on the ‘principles of four’ and are able to operate in a word of ‘double duality’ (2 x 2). Although many systems use the map of 4 it has its roots in 3 and extensions to 5. In four we have the map of the 4 elements; fire, water, air, earth, the four suits of the Tarot, the four worlds of the Kabbalah and many more which we will look at below.
Four brings the concept of space from the 3 (up-down, left-right, forwards-backwards) which define space. The 4 is the result, ‘space’ itself. In physics it represents the concept of time.
Five moves more into the world of action. One analogy is the pyramid; the four sides can be extended up into the point. We can get the idea of motion and action. It can also relate to the pentagram; the four elements and spirit. Some traditions have 5 elements, either including ‘spirit’ as an element or adding an element such as wood or metal. In physics this is the idea of motion.
Six solidifies the manifestation of the second triangle. It can be represented as the hexagram; two superimposed triangles, one pointing up, the other down. It can represent the four elements and spirit, with spirit in its duality of active and passive, or the four elements, their origin in spirit and their connection to ‘earth’.
[ “Height, width, and length constitute three-dimensional space, and time gives a total of four observable dimensions; however, string theories initially supported the possibility of ten dimensions – the remaining six of which we cannot detect directly. This was later increased to 11 dimensions based on various interpretations of the ten dimensional theory that led to five partial theories ... Super-gravity theory also played a significant part in establishing the necessity of the 11th dimension.” (Wikipeadia). The relationship of this model to the Qabbalistic model of 10 spheres of Creation (with an 11th and ‘hidden’ sphere – Daath, situated in the ‘Abyss’) and its manifestation through the 5 elements is an interesting correlation .]
I have been quiet lineal. There are concepts that relate to reflection (or refraction), that is, the Supernal Triad on the Tree of Life reflects through (or on the waters of) the Abyss and makes another downward pointing triangle (the first triangle implies a second, as 1 implies 2) and of course this requires a third triangle, and all three come together in the manifest realm, to make the 10th sphere of the Tree of Life.
But there is also the idea (of lineal manifestation) within this system of the Lightning Flash, where the energy travels from 1 – 10.
This might seem all good so far but what about zero? The above system seems to be rather ‘patriarchal' and relating to cultures who have a singularity genesis. We adopted the concept of zero mathematically from the Islamic world but it can also be seen in Kabbalah in the worlds of pre-existence; Ain, Ain Soph and Ain Soph Ur (and again we can see how the Supernal Triad is a reflection from the triad of ‘negative existence’).
Adding the concept of zero we can see how that implies the number one. I am sure physicists can explain how the ‘Big Bang’ came from nothing better than I can, but a simple mathematical equation will suffice here; if we consider the manifest world is duality and things appear in polarities, opposite pairs, we have + ‘side’ of one thing and – ‘side’ of another, if they are equal values , ‘n’, then we have +n + -n = 0 , therefore, 0 = -n + +n.
[ “String theory’s concept of super symmetry is a fancy way of saying that each particle has a related particle called a superpartner. Keeping track of the names of these superpartners can be tricky, so here are the rules in a nutshell.
• The superpartner of a fermion begins with an “s,” so the superpartner of an “electron” is the “selectron” and the superpartner of the “quark” is the “squark.”
• The superpartner of a boson ends in “–ino,” so the superpartner of a “photon” is the “photino” and of the “graviton” is the “gravitino.”
Use the following table to see some examples of the superpartner names.
Some Superpartner Names
Standard Particle Superpartner
Higgs boson Higgsino
Neutrino Sneutrino
Lepton Slepton
Z boson Zino
W boson Wino
Gluon Gluino
Muon Smuon
Top quark Stop squark.” – Wikipedia article on String Theory.]
Now, looking at any ‘n’, + or –, we can understand it further by converting it to the world of duality that we operate in. So we have + and – of +n and + and – of –n. In the elemental world this is shown as a division into active and passive. Active elements are Fire and Air; passive elements are Water and Earth.
So, looking at maps of four the obvious place to start seems to be the four elements. But why do we need maps anyway? For the Hermeticist all things are interrelated but some vibrate within specific energy fields. It can be handy for comprehension of interrelationships to draw the line somewhere, so we develop maps of 1 - singularity, 2 - duality, 3 - trinities (as mentioned above), 4 - Elements, 7 - planets, 10 – spheres (Qabbalah), 12 – signs (astrology), 22 paths (Qabbalah), 64 Hexagrams (I Ching).
The important concept is the connection and interrelationship between things and not viewing things as separate from each other or ourselves as separate from the things around us. One versed in this philosophy will not just see a ‘thing’ but all things related to it will come to mind so one can understand the ‘one thing’ more holistically and how it relates to the self and the self relates to many things, the things within or outside of a ’field’ or relationship. It is a way of increasing our knowledge and understanding of ourselves, others and environment, that hopefully leads to wisdom in our actions.
This is probably easiest understood by the relationship to the four elements and the psyche and it is my view that for correct operation they should be in a particular order of manifestation.
The four elements are Fire, Water, Air and Earth. They respond to; fire, the Self - inspiration, intuition, individuality and connection to spirit, the True Will; water, the emotional body - the unconscious, the dream world, feelings, empathy, understanding, etc.; air, the intellectual and rational body, logic, thought, ‘mind’, etc. and lastly, earth, the physical body.
The balance is important, consider this; we have a ‘Eureka’ moment (Some say great writing, music, creation, performance by a ‘Master’ comes from the otherworld. In moments like these we can become aware that it is more than ourselves creating, sometimes it is as though ‘we’ have little to do with the process, we are just a ‘channel’), we are ‘inspired’ with an ‘idea’, we make it our ‘own’ and begin to go about bringing it into manifestation. The fire is then tempered by water; next we should see how we feel about it, does it sit right, do we have emotive issues to sort out about it? Some say, “sleep on it first”, what is that but ‘putting it through the unconscious’? Next, with air, we should analyse it, see if it is possible, the how and where and why, think it through and make a logical plan. Lastly earth; we need to DO something about it - put the plan into action and bring it to manifestation, otherwise we are uninspired or unoriginal, we are doing something we don’t feel right about, or we haven’t used our intellect and logic, leading to inspirational ideas that can make one feel good but can leave one sitting out in a field for days waiting for aliens to come and dissolve all of our difficulties. And lastly, what is the use of any of it unless we DO something about it and ‘earth’ the current – we would be caught up in a ‘pipe-dream’.
The order of manifestation and hierarchy in the psyche is as important as balance. The difficulty with the standard modern mind set is that many of us don’t really understand our individuality, individuation, ‘True Will’ or spirit. Mostly our emotions are confused and run rampant. So what is left but mind, supposedly third place in the hierarchy, to fill the gap? Mind - this is one of our major problems, as well as a major asset. How can we not deny mind yet use it as an asset while moderate its difficult nature? We need to get mind in its place, it should be third in the hierarchy. One cannot force it, it will rebel.
Here are some more systems of 3:4 ..... ( too long ! )