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Nicholas of Cusa

Nicholas of Cusa · Born 1401 AD · Late-medieval Christian Neoplatonism · De Docta Ignorantia
Born 1401 ADlearned ignorancecoincidentia oppositorummaximummystical theology7 min readView in network
The maximum and the minimum coincide in unity.
De Docta Ignorantia, Book I

Nicholas Cusanus

In 1453 a German cardinal sent the monks of a Bavarian monastery a present: a painting, and a short book on how to use it. The painting was an icon of the kind whose eyes seem to follow you around the room. Nicholas told the monks to hang it on a wall and walk past it; each would feel the painted gaze resting on him, and on him alone. Then he asked them to do the strange thing, to walk in opposite directions at once and to believe the brother who swore, from the far end of the room, that the same gaze was fixed just as steadily on him. One look, wholly given to each person and to everyone at the same time, holding still and moving with all of them at once. Out of a painter's trick Nicholas built a way into the hardest thought he had: that the infinite is not far off and unreachable but wholly present at every point of the finite, the way the icon's single attention is complete in each face it meets. He called the little book On the Vision of God, and it is the friendliest door into one of the most daring minds of the fifteenth century.

Nicholas Cusanus, the cardinal who turned a painter's trick and a handful of geometric figures into a theology of the infinite.Master of the Life of the Virgin, Portrait of Nicholas of Cusa (c. 1480), Cusanusstift altarpiece, St. Nikolaus-Hospital, Bernkastel-Kues. Public domain via Wikimedia Commons.

Learned ignorance. The idea that organizes everything Nicholas wrote carries a deliberately self-contradicting name: docta ignorantia, learned ignorance. It is not the lazy skeptic's shrug that we know nothing. It is something more exact and more useful, the claim that the highest thing a mind can achieve about the infinite is a precise knowledge of why its concepts must fall short. Picture a circle, he says, and inscribe a square in it, then a pentagon, then a hexagon, doubling the sides again and again. The polygon swells toward the circle and never arrives, and at every stage you can measure exactly how far short it falls. The mind facing the infinite is that polygon. Its danger is not that it approximates, but that it might forget it is approximating and mistake its latest polygon for the circle. Learned ignorance is the discipline of never forgetting: you hold your sharpest concept of the thing, and in the same act you mark the exact respect in which the thing exceeds it, and you let that gap stand open instead of papering it over. Done honestly, it is not a confession of failure. It is the most awake form that knowing can take.

De Docta Ignorantia (1440), where learned ignorance is worked out: the mind's highest knowledge of the infinite is an exact knowledge of why its own concepts fall short of it.Nicholas of Cusa, De Docta Ignorantia (15th c.), opening folio, St. Nikolaus-Hospital, Bernkastel-Kues, MS 218 fol. 1r. Public domain via Wikimedia Commons.

The coincidence of opposites. Run the polygon the other way and something stranger appears. If you could actually complete the infinite figure, the distinction you began from would vanish. An infinitely large circle has, along any stretch you can examine, no curvature left at all, so its circumference is a straight line; the infinite circle and the infinite line, opposites in every finite drawing, turn out to be the same thing. Push a triangle to infinity and its three sides collapse into one. This is Nicholas's master-idea, the coincidentia oppositorum, the coincidence of opposites: in the infinite, the determinations that hold finite things apart, maximum and minimum, center and edge, motion and rest, fold into one another. From it he draws his whole picture of how God and world are joined. God is the enfolding ( complicatio) in which every distinction lies gathered and undivided; the world is the unfolding (explicatio), that same content spread out into the differences we live among. The creator is not off beyond the creation but is its inner gathering point, present in all things as the single look was present in every face. The deepest truth, on this view, is never reached by keeping your distinctions tidy. It is reached by following them to the edge where they pass into each other, and it is precisely this move that Hegel, four centuries later, would rename the dialectic and claim as his own.

The polygon that never quite becomes the circle. Multiply its sides toward infinity and it draws closer forever without arriving: Nicholas's image both for a mind approaching the infinite and for the point where opposites coincide.Archimedean method for approximating pi by inscribed and circumscribed polygons (pentagon, hexagon, octagon). Public domain (simple geometric figure, no original authorship), via Wikimedia Commons, cropped.

He spent the rest of his life refusing to let the idea harden into a formula. In the late dialogues he keeps renaming the unnameable so it cannot be pinned. In On Actualized-Possibility he fuses two words a finite thing can never combine and calls God possest, can-is, the one being in which everything possible is already actual. In a still later dialogue he settles on the most austere name of all, non aliud, the Not-Other: God is what is not other than anything, the defining sameness present inside every difference, so close to each thing that it cannot be set over against it as one more item in the world. Every name is offered and then quietly withdrawn, because to grasp it firmly would be to forget the first lesson, that the infinite is exactly what no grasp can close on.

A universe with no center. The boldest consequence Nicholas drew was not theological but cosmological, and he drew it from pure thought a hundred years before anyone aimed a better instrument at the sky. If center and circumference coincide only in the infinite, then no finite body can occupy the true center of the universe, because the true center belongs to the infinite alone. The earth, then, is not the still point at the middle of things; it moves like everything else; nothing is at absolute rest; and there is no outermost wall of fixed stars closing the cosmos in. He went so far as to allow that other regions of the universe might carry their own kinds of life. None of this came from looking. It came from taking the infinite seriously and asking what a world made by it would have to be like. A century later Copernicus moved the earth for mathematical reasons; a century after that, reading Nicholas closely, Giordano Bruno carried the uncentered cosmos all the way to an infinity of worlds. The idea had been waiting in a cardinal's metaphysics the whole time.

Generations of astronomy later, the cosmos opened into the uncentered, edgeless space Nicholas had argued for in 1440 from metaphysics alone.Thomas Digges, A Perfit Description of the Caelestiall Orbes (1576), diagram of the Copernican system with stars scattered through infinite space. Public domain via Wikimedia Commons.

One religion, many rites. In the spring of 1453 word reached the West that Constantinople had fallen to the Ottomans, and Europe braced for holy war. Nicholas answered with a book almost no one expected, not a call to arms but a dialogue, On the Peace of Faith, in which representatives of every nation and creed, Greek and Arab, Jew and Indian, Persian and German, are summoned before the divine and made to argue out what really divides them. His startling conclusion is that, underneath the quarrel, they are all already reaching for the same thing. The wisdom each tradition seeks is one; what differs is the rite, the law, the inherited name. Una religio in rituum varietate, he writes, one religion in a variety of rites. It is not a flattening of the faiths into sameness, and it is not modern relativism; it is the coincidence of opposites turned on the most violent of all human differences, the claim that the many ways are unfolded expressions of a single enfolded truth. Written in the worst imaginable week for such a thought, it is among the earliest serious attempts in the West to treat religious difference as something other than a war to be won.

Constantinople fell in the spring of 1453. Within weeks Nicholas answered not with a summons to war but with De Pace Fidei, a dialogue arguing that the warring faiths are already reaching for one wisdom.Jean Le Tavernier, The Siege of Constantinople in 1453 (after 1455), miniature from Bertrandon de la Broquière, Voyage d'Outremer, Bibliothèque nationale de France, MS fr. 9087 fol. 207v. Public domain via Wikimedia Commons.

A discipline you can practise. The room reads Nicholas in Jasper Hopkins's translations of very nearly the complete works, made freely available by the translator and read here only to be embedded, never republished; the chat cites by Latin work and section, so De Docta Ignorantia I.4 or De Visione Dei 9 lands where you can check it. What makes him worth the effort, though, is that his two central moves are tools rather than relics. Learned ignorance is a way of working at the edge of anything hard: name your sharpest available concept, mark the exact point where the thing outruns it, and keep the gap in view instead of pretending it has closed. The coincidence of opposites is a way of handling a contradiction you cannot dissolve: rather than choosing a side or splitting the difference, ask what larger thing the two opposed terms might both be unfolded expressions of. Together they make a strikingly modern discipline for thinking past the limits of a model without lying about them, which is the exact situation of anyone working at the frontier of a science, a craft, or a question that refuses to sit still.

The ideas did not stay in his books. Bruno took the infinite cosmos; Leibniz took the thought that each thing enfolds the whole and built it into the monad; Spinoza's single substance, infinite and expressed in everything, is the coincidence of opposites turned geometric; Hegel took the move at the core of it all and made it the engine of the dialectic. What unites these very different heirs is what Nicholas first showed them: that the way to think the largest things is not to keep your concepts safely apart but to follow them, carefully and on purpose, to the point where they meet. Five centuries on, that is still among the rarest and most useful things a mind can learn to do. He thought the lesson began in admitting how little we can hold. He may have been right that this is where all real thinking starts.

Giordano Bruno read Nicholas closely and carried the uncentered universe the whole way to an infinity of worlds.Engraved portrait of Giordano Bruno, The Open Court (1887), after an engraving in the Cabinet des Estampes, Paris. Public domain via Wikimedia Commons.

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