Ramon Llull and the Ars Magna: The Medieval Combinatorial Art That Tried to Prove God with a Rotating Machine

Portrait of Ramon Llull by Francisco Ribalta, c. 1600 — the Majorcan philosopher who created history's first mechanical system for generating theological truth, three centuries before Leibniz dreamed of a universal calculus.

Somewhere around 1274, on the slopes of Mount Randa in Majorca, a former troubadour and courtly love poet named Ramon Llull had a vision. He had already had one extraordinary conversion experience — years earlier, in the middle of composing a love song to a noblewoman, he had been interrupted by a vision of Christ crucified, repeated five times across the week, which had turned him from the pleasures of courtly life toward an obsessive dedication to the conversion of the Muslim world. But this second vision, on the mountain, was different. It was not a vision of Christ's suffering. It was a vision of the structure of reality.

What he saw — or what he afterward claimed to have seen, in the careful language of mystical experience that never quite commits to the literal — was the way that the attributes of God related to each other, how divine reality was organized, how the names that theology assigned to the divine (Good, Great, Eternal, Powerful, Wise, Loving, Virtuous, True, Glorious) were not arbitrary labels but the actual structural principles of everything that existed, from the highest celestial sphere to the smallest grain of matter on the mountain beneath his feet. And with this vision came a conviction that would consume the remaining forty years of his extraordinary life: that this structure could be formalized, made into a system, made into a machine.

The machine he built is the Ars Magna — the Great Art — and it is one of the most unusual objects in the history of human thought: simultaneously a work of medieval theology, a theory of knowledge, a missionary tool, and the earliest ancestor of what we would now recognize as the idea of a universal formal language.

The Man Who Learned Arabic to Argue with Muslims

Ramon Llull (c. 1232–1316) was born in Palma de Mallorca shortly after the Christian reconquest of the island from Muslim rule. He grew up in a world defined by the presence of three religions — Christian, Jewish, and Muslim — living in varying degrees of coexistence and tension on an island at the crossroads of Mediterranean civilizations. He was educated at the Majorcan royal court and became a courtier, a troubadour, and by his own later admission a man of considerable worldly enthusiasm.

His conversion was dramatic. After the repeated vision of Christ crucified — he describes it as happening five times in a week as he sat composing poetry — he underwent a period of intense spiritual crisis. He made a pilgrimage to Santiago de Compostela. He consulted the saintly Dominican friar Ramon de Penyafort, who advised him not to enter a religious order but to pursue a lay vocation: to study, to write, and above all to find a way to bring Muslim and Jewish intellectuals to an understanding of Christian truth through reasoned argument rather than forced conversion.

This last mandate was decisive. Llull spent nine years learning Arabic — an enormous investment for a man in his thirties with no scholarly background — and studying the intellectual traditions of Islamic philosophy, particularly the logical and metaphysical works of Averroes and the broader Neoplatonic synthesis that had been developed in al-Andalus. He also studied Kabbalah, acquiring enough familiarity with its structure of divine attributes and their combinations to recognize — and this recognition was perhaps his most original intellectual achievement — that the Kabbalistic tradition and the Islamic philosophical tradition shared, beneath their surface differences, a common architecture of thought about the relationship between divine names and created reality.

A medieval portrait of Ramon Llull — the Majorcan philosopher, mystic, and missionary who wrote more than 250 works in Catalan, Latin, and Arabic in pursuit of a universal science of divine truth.

The Nine Dignities: The Alphabet of God

The Ars Magna is built upon nine fundamental attributes of God that Llull calls the Dignities (Dignitates): Bonitas (Goodness), Magnitudo (Greatness), Aeternitas (Eternity), Potestas (Power), Sapientia (Wisdom), Voluntas (Will), Virtus (Virtue), Veritas (Truth), and Gloria (Glory). These nine attributes — represented in the system by the letters B through K — are not arbitrary choices. They are, in Llull's theology, the structural principles of divine reality: the aspects of God that both Islam, Christianity, and Judaism agree in ascribing to the divine, the common ground on which a cross-religious rational discourse about God can be built.

Each Dignity is not merely an attribute but a relational principle: Goodness, to be genuinely good, must be good of something, to something, through something. Divine Goodness generates — necessarily, by its own nature — a Goodifier, a Goodified, and an Act of Goodifying. Extend this analysis across all nine Dignities, and you generate the entire structure of divine creative activity: the Trinity (in Christian reading), the divine names and their creative power (in Islamic and Jewish reading), the whole of creation understood as the expression of these relational principles in finite form.

The combinations of the Dignities produce the questions that the Ars Magna can investigate. What is the relationship between divine Goodness and divine Greatness? What is the relationship between divine Power and divine Wisdom? Between Truth and Glory? Between Will and Virtue? Each combination becomes a question, and the system provides a formal procedure for generating and evaluating answers. There are 36 possible two-Dignity combinations (9 × 8 / 2), plus 84 three-Dignity combinations, plus the relationships of the Dignities to four Relata (Difference, Concordance, Contrariety, Beginning, Middle, and End), to nine Subjects (God, Angel, Heaven, Man, Imagination, Sensation, Vegetation, Elementality, and Instrumentality), and to nine Questions (whether, what, from what, why, how much, of what quality, when, where, and how).

The mathematics of combination escalates rapidly. The full system generates hundreds of possible questions and thousands of possible formalized investigations. And to make the combinatorial process visually tractable, Llull invented his most famous device: the concentric rotating wheels.

The Wheels: A Machine for Thinking About God

The visual heart of the Ars Magna is a set of concentric circular diagrams — typically three or four circles, each inscribed with the letters representing the Dignities and other elements of the system — that can be rotated independently relative to each other. By rotating the inner circles, the practitioner generates new combinations of letters, each representing a question or a relational proposition that the system can then analyze.

This is, in the most precise historical sense, a mechanical logical device — not mechanical in the sense of having moving parts (the actual wheels in Llull's manuscripts were typically drawn on paper or vellum, with the inner wheels attached by a pin at the center), but mechanical in the modern sense: a formal system that generates outputs from inputs according to explicit rules, independent of the practitioner's intuition or judgment. You rotate the wheel, you read the combination, you apply the analytic procedure, you get a result.

Scenes from the life of Ramon Llull — 14th-century illuminated manuscript. Llull's life combined mystical vision, philosophical systematization, and repeated missionary journeys that ended in his probable martyrdom in North Africa.

Three centuries before Leibniz articulated his dream of a characteristica universalis — a universal formal language in which all disputes could be resolved by calculation — Llull had built one. Or had attempted to build one: historians of logic have generally concluded that the Ars Magna is not, technically, a complete logical calculus, because its procedures for evaluating combinations depend on prior philosophical commitments that the system itself does not generate. But as a proto-formal system, as an attempt to make reasoning about the highest questions as systematic and inter-subjectively communicable as arithmetic, it is without precedent in the history of Western thought before it and without equal until the seventeenth century.

The Missionary Purpose and Its Failures

Llull intended the Ars Magna as a tool for converting Muslims and Jews to Christianity. This purpose — which strikes the modern reader as at best naive and at worst coercive — must be understood in its historical context. Llull was not proposing forced conversion; he was explicitly opposed to the Crusades as a method of religious change. He wanted intellectual persuasion, the kind of reasoned dialogue that he believed could demonstrate, to the satisfaction of any intelligent interlocutor regardless of religious background, that Christian theology was rationally superior.

His missionary journeys were courageous to the point of recklessness. He traveled to Tunis three times, to Algeria twice, and probably to other parts of North Africa. He petitioned the Pope and the King of France to establish colleges for the study of Oriental languages — the first such institutional proposal in European history. He argued his case before church councils and royal courts across Europe.

He was largely unsuccessful. The Ars Magna persuaded very few Muslims or Jews of anything, partly because — as Llull's critics in his own time pointed out — the system's starting premises (the nine Dignities and their relational structure) were already implicitly Christian, and therefore not the neutral common ground that Llull claimed them to be. You cannot use a Christian logical framework to prove Christianity to non-Christians without begging the question; Llull's interlocutors were sophisticated enough to see this, even if he was not.

Llull's combinatorial diagrams from a manuscript of the Ars Magna — the rotating wheels that generated combinations of divine attributes, anticipating by centuries the formal logic of Leibniz.

The Renaissance Revival: Bruno, Leibniz, and the Universal Language Dream

Llull's death — probably in 1316, possibly by stoning in North Africa, possibly by peaceful death on the voyage home — did not end the influence of his system. The Lullian tradition in Renaissance Europe was extensive and, to some participants, central.

Giordano Bruno — the Dominican friar, philosopher, and cosmological heretic burned by the Inquisition in 1600 — was one of the most enthusiastic and creative developers of the Lullian system. Bruno took Llull's combinatorial art and merged it with the art of memory tradition (the classical ars memorativa, the system of architectural visualization for storing and retrieving information), with Hermetic cosmology, and with his own heliocentric cosmological system. The result was something quite different from Llull's original — more magical, more Hermetic, less technically Christian — but the Lullian engine of combinatorial generation remained at its core.

Gottfried Wilhelm Leibniz, in the seventeenth century, explicitly acknowledged Llull as a predecessor of his characteristica universalis and calculus ratiocinator — the universal formal language and reasoning calculator that Leibniz spent much of his intellectual life trying to construct. Where Llull had worked with divine attributes and theological propositions, Leibniz wanted to extend the method to all human knowledge: to create a formal system in which any question, from metaphysics to physics to ethics, could be formulated and, in principle, resolved by calculation.

The Machine That Dreams of God

In 2026, the Ars Magna presents itself in a peculiar light. The dream of a formal system that could generate truth about the highest questions — that could move from a small set of primitive terms to the full range of knowledge through systematic combination — is no longer a medieval fantasy but the basic operating principle of the large language models that are rapidly transforming intellectual life. The rotating wheels of the Ars Magna are, in a metaphorical but not entirely inaccurate sense, the ancestors of the attention mechanisms and combinatorial operations of neural networks.

But Llull would not have recognized his children as his heirs. His wheels were not designed to generate plausible text; they were designed to generate truth. The distinction matters. Llull believed that the formal combination of divine attributes was not merely a mnemonic or a rhetorical device but a genuine insight into the structure of reality — that the God who was truly Good, truly Great, truly Eternal, was a God whose inner life had a formal structure that human reason, properly trained and properly employed, could genuinely access.

Whether that belief was correct is not a question that formal systems can answer. It is the question that underlies all esoteric philosophy: whether the human mind, through its highest operations, can genuinely contact something beyond itself, or whether it is always, in the last analysis, talking to itself. Llull's answer — embodied in the rotating wheels, in the nine Dignities, in the vision on Mount Randa — was an unambiguous yes. The structure of divine reality is accessible. The machine can be built. And if you turn the wheels with sufficient care and sufficient sincerity, something on the other side of the combinations might, just possibly, turn back.

— Lux Esoterica