Also I see that Huck is right (in the post after that one) that before I try to understand the idea of "paths" in terms of the Kabbalist "tree" (more like a diagram), I should first look at them in terms of the Sefer Yetzirah itself. Actually, I can see that there aren't 32 paths on the Tree: there are only 22. The other 10, the sefiroth, aren't paths, they're points. And doubling the paths, as I was suggesting, gives 44, not 64.
... :-) ... The SY talked of 32 paths, not 22. Whatever later kabbalists made out of it. If they talked of 22 paths and treated the other 10 paths as points, than that's their model and not that model presented in the SY.
I don't know, what the Sephiroth really are, but if later kabbalists used them as points, which were connected by 22 paths or another number of paths, one should differentiate these opinions and theories from that, what the Sepher Yetzirah as a text really stated (the kabbalists invented their commentaries at least 600 years after SY was written).
6 of the 10 Sephiroth for instance stand according SY for directions. Up-down-right-left-front-back. "Directions" are not "points".
But six directions demand 3 dimensions and one point in the middle (6+3+1 = 10 Sephiroth), in other words that's our humble system of coordinates, as we learned it in school maybe in the age of 12 years.
Westcott (Golden Dawn) translated from it:
"These are the ten ineffable existences, the spirit of the living God, Air, Water, Fire, Height and Depth, East and West, North and South."
"Height and Depth, East and West, North and South" are naturally the six directions. "Air, Water, Fire" are naturally the 3 dimensions. Air should be likely that what connected "Height and Depth". The "Spirit of the living God" naturally was the creative point in the middle, which expanded in all directions.
OK, do what does the Sefer Yetzirah mean when it speaks of "32 mystical paths of wisdom" by which God created the universe"? I know it says the 32 are the 10 sefirot and the 22 letters, but how are these "paths"? And what determines the order of presentation, which is very odd? Does it have to do with the 32 times "Elohim" is used in chapter one of Genesis, as said at http://www.kosmic-kabbalah.com/32-paths-creation
? Each time, Elohim is the subject of the sentence, doing something. I can see that. It makes sense. So where do the "folders" and the next 32 come in, Huck?
... :-) ... The chapter 1 of Genesis is naturally a literary product, and if the author prefered to have the name "elohim" 32 times mentioned, then this is either accidental or naturally only an intentional literary trick, which with the author wanted to point out something. This object, to which the author wanted to point to, is of interest, not the literary trick, of course.
The "32" and and it's specific grouping in "22+10" or "(1+3+6) + ((1+6) + 3 + 12)" as "32 ways of wisdom" is just a natural feature of the binary number system, when you expand it till the 6th level (= 2*2*2*2*2*2).
If you would use the system only to the first level, you would have just "2" and you could name it "yin and yang" or "light and dark"or whatever you prefer to say. If you would expand it to level 3, you would get 8 elements (2*2*2*; often used for "father + mother + 3 sons + 3 girls" in mythical context as for instance in Greek mythology and the children of Kronos and Rhea or in the I-Ching, where you get 8 trigrams with "Kien = heaven = Yang" as father and Kun = "earth = Yin" as mother and 6 children as mixed state of Yin and Yang.
The 6th level (2*2*2*2*2*2) is just nice, cause 6 is the result of the multiplication of 2 with 3 (which are the both first numbers higher than 1). So the SY preferred this structure and and I-Cing preferred it, too, and others dito. But naturally history has produced also other systems, which some other persons preferred. In astrology the number 12 was very interesting, cause the year had about 12 moons, for instance. For the year it seems to have been occasionally attrative to count it with 360, just for number elegance. The Maya preferred the 20, counting fingers and toes. The Sumerians produced the sexagesimal-system with a preference for 60 and 12. Early computers had a preference for 2^7, as they thought, that 128 would be enough for signs, but then 2^8 = 256 was preferred.
But nonetheless, this model with "64 elements" had a lot of natural attraction, and it is not really a wonder, that the SY preferred it. It's just a historical act, that the author had a preference for it.
"So where do the "folders" and the next 32 come in, Huck" .... :-) ... I guess, I've already explained that ...
... if it's too small, visit the weblink.
2*2*2*2*2*2 produces 64 symbols. 111111 is one, 000000 another and 111000 another and also 000111. Each of these symbols would describe "an extreme state". Neither Yang or Yin is an idealized state.
Harmony or "wisdom" is reached in the balance of 111111 with its opposite, and that's 000000. So "111111 and 000000 together" are one of the 32 ways of wisdom and "111000 and 000111 together" is another way. It seems, that the SY author interpreted it in this way, and his idea seems logical or at least understandable.
Using common math it's so, that if "A" meets "-A" and you make an addition "A+ (-A)", you get "0". If "0" would be defined as "balanced" or "in harmony", well, then you have a similar idea as it appears to have been in use by the author of SY.
Perhaps this example is less confusing.