Crowley, Leibniz, and the I Ching on the Tree of Life

In the early 1970s, I was working in an obscure government department in New Zealand, and due to the nature of my duties, my workload there was either feast or famine. At that point in my life I was thoroughly involved in I Ching divination and made the decision to establish an I Ching business through a local bookshop. During the downtime in my office, I typed out replies to clients on the divinatory side of the I Ching. Years later, once I was fully immersed in the Golden Dawn, I found myself drawn back to Crowley's diagram mapping the I Ching trigrams onto the Sephiroth of the Tree of Life. Following his lead, I worked out my own version of the correspondence, applying the I Ching's hexagrams to the Golden Dawn's Tarot court cards. Much as the tattvas had been adapted to Golden Dawn purposes, the I Ching's component parts now found a second home there too.

Looking back on that project, I've come to think Crowley's original mapping of the I Ching trigrams onto the Sephiroth is one of the more singular acts of esoteric synthesis in modern occult history, and for a fairly precise reason: nobody before him had attempted anything so structurally daring. Leibniz had already recognised the mathematical elegance of the I Ching's binary structure two centuries earlier, and the Golden Dawn itself had long since fused Tarot, astrology, geomancy, and Kabbalah into one sprawling symbolic engine. But neither tradition went where Crowley went, a line-by-line, trigram-by-trigram reassignment that re-engineered the Tree according to Taoist polarity rather than Hermetic morality.

What Crowley did with these assignments was invert the entire architecture of the Tree, declaring the left pillar Yin and the right pillar Yang, a complete reversal of the classical Pillars of Severity and Mercy. This wasn't a decorative flourish. Crowley seems to have genuinely believed the Tree was not a moral ladder but a cosmic dynamo, a field of alternating currents whose real nature could only be grasped through the interplay of Yin and Yang. By folding the trigrams in, he turned the Sephiroth from theological emanations into energetic modalities, each one now expressing a distinct Taoist mode of movement rather than a rung on a moral scale.

It's worth being precise here about what Leibniz actually contributed, since his name tends to get invoked as though he'd anticipated Crowley's whole system. He hadn't. Leibniz never built anything resembling a full esoteric structure linking the I Ching to the Kabbalistic Tree, what he produced instead was one of the most important intellectual bridges between Western metaphysics and Chinese cosmology, and it centred on a single, well-documented discovery. When Jesuit missionaries showed him the I Ching hexagrams, Leibniz realised their structure matched his own newly developed binary arithmetic almost exactly. He wrote that the alternation of solid (Yang) and broken (Yin) lines formed a perfect representation of binary ones and zeros, and took this as evidence that the ancient Chinese sages had intuited a universal mathematical language centuries ahead of Europe. That recognition, a philosopher spotting a binary code inside an ancient divinatory text, is Leibniz's real legacy here. He never went on to map that structure onto the Sephiroth, and the idea that Crowley simply borrowed Leibniz's work doesn't hold up once you look at what Leibniz actually left behind.

With that distinction in place, it's worth walking through how Crowley actually built the correspondence, triad by triad, because the logic sharpens considerably once you see the trigrams assigned one at a time.

The Upper Triad: Kether, Chokmah, Binah

Crowley gave Kether the primordial dot, Chokmah the solid Yang line, and Binah the broken Yin line, a move that is cosmological rather than merely symbolic. It reframes the supernal triad as a dynamic polarity system in place of the classical Judeo-Hermetic sequence of unity, force, and form. In the traditional Tree, the right-hand pillar, Chokmah, Chesed, Netzach, is the Pillar of Mercy: expansion, fluidity, benevolence. The left-hand pillar, Binah, Geburah, Hod, is the Pillar of Severity: contraction, structure, discipline. Crowley's trigram assignments flip this outright: the right pillar becomes Yang, the left becomes Yin. In the I Ching, though, Yang isn't "mercy" and Yin isn't "severity", Yang is active force, Yin is receptive depth, and neither carries a moral charge. So the upper triad stops reading as an emanation of virtues and starts reading as a triune pulse: Kether the unmanifest point, Chokmah the primal thrust, Binah the first yielding. That's a picture much closer to Taoist cosmology than to the Hermetic-Kabbalistic tradition it's replacing, and it's the key that unlocks everything Crowley does further down the Tree.

The Middle Triad: Daath, Chesed, Geburah

Crowley's placement of Daath on Chien ☰, the pure Heaven trigram, is one of his boldest moves in the whole system. Daath, in classical Kabbalah, is the "non-Sephirah", the abyssal knowledge bridging the supernal triad and the lower worlds. Giving it the trigram of absolute Yang turns it into an axis of pure creative force, something like a Taoist Great Ultimate grafted onto the Tree: not a void but a vortex of Heaven-energy, a gate through which supernal Yang pours downward. Chesed receives Tui ☱, the Joyous Lake, soft, expansive, associated with openness and blessing. Geburah receives Chen ☳, the Arousing Thunder, sudden force, shock, discipline. Both Sephiroth keep their familiar functions (Chesed still expansive, Geburah still corrective), but their polarity shifts: Chesed becomes a Yin-Yang hybrid, a receptive expansion rather than a purely masculine force, while Geburah becomes pure Yang in motion, not severity so much as awakening. Daath settles as the pivot of Heaven, Chesed as the Lake of blessing, Geburah as the Thunder of correction, and the Sephiroth start to feel less like fixed titles and more like trigrammatic engines, each one a specific mode of cosmic movement.

The Lower Triad: Tiphareth, Netzach, Hod, Yesod, Malkuth

The pattern completes itself in the lower Sephiroth: Tiphareth to Li ☲, Netzach to Ken ☶, Hod to Sun ☴, Yesod to Kan ☵, and Malkuth to Kun ☷, a full Taoist pictogram folded into the base of the Tree. Tiphareth, the solar heart, gets Li, the trigram of Fire and illumination, which fits almost too neatly: Li is clarity, brilliance, the revelation of form, mirroring Tiphareth's role as the Tree's harmonising centre. Netzach gets Ken, the Mountain, stillness and endurance rather than raw emotional force, which reframes Netzach as something closer to stabilised desire, a mountain-heart that simply persists. Hod gets Sun, the Gentle Wind, a trigram of subtle penetration that suits Hod's association with intellectual refinement, persuasion, and the slow reshaping of reality through thought. Yesod gets Kan, the Abyssal Water, depth, danger, hidden movement, a close match for Yesod's lunar, subconscious character. And Malkuth gets Kun, the Earth trigram, the ultimate Yin, the receptive ground where everything above it finally manifests. Here the pillar reversal is at its most visible: Netzach, traditionally on the right-hand Pillar of Mercy, becomes Yin-Mountain, while Hod, traditionally on the left-hand Pillar of Severity, becomes Yang-Wind. By this point the whole Tree has been reorganised around Taoist polarity rather than Hermetic morality, and the lower worlds read as a dance of five elements: Tiphareth illuminating, Netzach stabilising, Hod refining, Yesod deepening, Malkuth grounding.

Taken as a whole, Crowley's mapping turns the Tree of Life into something closer to a Taoist mandala than a moral diagram, a cosmological engine in which every Sephirah expresses a mode of natural force rather than a station on a ladder of virtue. That, I think, is what makes it worth returning to decades after I first came across it: not as a curiosity bolted onto the Golden Dawn system, but as a genuinely different lens for reading the Tree, one that rewards practitioners willing to sit with Taoist internal alchemy alongside their Kabbalistic work rather than treating the two traditions as merely comparable.