Coincidentia Oppositorum

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Coincidentia oppositorum — Latin for the coincidence, or coming-together, of opposites — names the idea that the contradictions which separate finite things fall away in the infinite. Greatest and least, center and circumference, the maximum and the minimum: in a being without limit, the doctrine holds, these cease to stand against one another and converge. The Latin is more precise than the usual English. Coincidere is not a matter of resembling or harmonizing; it is to fall together onto the same point — con-incidere, to land jointly — as two lines extended far enough meet, or as a name and the thing it names become one. The phrase asserts identity at the limit, not similarity short of it.

The phrase and its author

The formula belongs to Nicholas of Cusa, the German cardinal, canon lawyer, and mathematician born at Kues on the Moselle in 1401 and dead at Todi in Umbria in 1464. The son of a boatman, schooled by the Brethren of the Common Life, doctored in canon law at Padua, and made cardinal in 1448, he set the coincidence of opposites at the center of De Docta Ignorantia — “On Learned Ignorance,” completed in 1440 — and returned to it across the rest of his corpus, refining it in De Coniecturis, De Visione Dei, De Possest, and De Non Aliud. He did not coin the idea; the convergence of contraries in a higher unity runs back through the Neoplatonists. He coined the name, and he welded it to a method.

That method is learned ignorance itself. Cusa’s first move is a confession of limit. Between the finite and the infinite, he holds, there is no proportion — finiti et infiniti nulla proportio — and since the mind knows by comparison, by measuring the unfamiliar against the familiar, what bears no proportion to anything finite cannot be measured by a finite mind at all. The conclusion is not despair but a trained, reasoned ignorance: the most exact knowledge available of God is the knowledge that God exceeds every concept the mind can form. This is not a failure of inquiry but its summit, an ignorance arrived at rather than merely suffered. The coincidence of opposites is what learned ignorance sees when it looks toward the infinite — the place where the categories the mind uses to divide and compare give out.

The mathematics of the limit

Cusa argues the case with unusual precision, and his instrument is geometry. He asks the reader to imagine a circle whose radius grows without bound. As the circle expands, its curve flattens; an arc of an infinitely large circle would be indistinguishable from a straight line. So in the infinite circle the maximally curved and the perfectly straight — opposites at every finite scale — coincide. He extends the figure: an infinite line, an infinite triangle, an infinite circle, and an infinite sphere collapse into one and the same figure, because the features that distinguish a triangle from a circle (angle, curvature, number of sides) are all properties of bounded magnitude, and the bound is exactly what has been removed. A second image runs the same point from below: a polygon inscribed in a circle, gaining sides, approaches the circle and never reaches it — a model of how finite reason approaches the infinite endlessly and never arrives. What holds opposites apart, on this reasoning, is finitude. Remove the limit and the opposition dissolves.

From the geometry Cusa draws a cosmological corollary that startled later readers. In Book II of De Docta Ignorantia he reasons that a universe whose ground is infinite can have no privileged fixed center and no bounding edge: its center is everywhere and its circumference nowhere, and the earth cannot be assumed to sit motionless at a unique midpoint. This is a metaphysical de-centering, argued from the doctrine of the maximum and not from any observation of the heavens; it belongs to speculative theology rather than to astronomy. But it is the seed that Giordano Bruno would later quote, develop, and turn into a physics. In God, Cusa concluded, the maximum and the minimum coincide — a claim he offered not as paradox for its own sake but as the only speech adequate to a reality past the reach of either-or. The wall of Paradise, he wrote in De Visione Dei, is built of the coincidence of opposites, and reason stands guarding its gate; only by passing beyond contradiction does the seeker enter.

The negative-theology ancestry

The thought has a long ancestry. Behind it stands the apophatic theology of the Neoplatonists, for whom the One lies beyond being and beyond knowledge, prior to the Intellect and to all the determinations that emanate from it. What the One is can be approached only by stripping away — by saying what it is not — because every predicate is a limit, and the source of all limits cannot itself be limited by any. Cusa knew this lineage at first hand: his library at Kues preserved some of the best surviving copies of the Latin works of Meister Eckhart, whose preaching on the divine ground and on the unknowing of God he defended by name when the Heidelberg theologian Johannes Wenck charged De Docta Ignorantia with pantheism.

The proximate source is the writer known as Pseudo-Dionysius the Areopagite — an anonymous Christian Neoplatonist of late-fifth- or early-sixth-century Syria who wrote under the borrowed name of Paul’s Athenian convert in Acts, and whose Divine Names and Mystical Theology carried the apophatic current into the heart of Christian mysticism. For Dionysius, God is “beyond all that is,” named by every name and by none, and the denials made of God are truer than the affirmations, because affirmation ascribes a finite attribute while denial acknowledges the excess. The Stanford Encyclopedia of Philosophy’s account of his work sets out exactly this asymmetry, that negations concerning God are more true, better, and more apt than affirmations. Cusa’s coincidence of opposites both recalls this Dionysian unsaying and goes past it: where Dionysius negates each name in turn, Cusa lets the contradictories collapse together, so that the affirmation and its denial are seen to land on the same point. The denial is no longer the last word before silence; it is folded into a positive vision of the maximum in which contradiction is transcended rather than merely refused. The Dionysian Divine Names and Mystical Theology, in the early-twentieth-century English rendering by C. E. Rolt, make the ancestry plain to an English reader.

The early-modern afterlife

After Cusa the figure recurs across early-modern speculative and mystical writing, and each hand gave it its own grammar. Giordano Bruno, the Nolan ex-Dominican burned at Rome’s Campo de’ Fiori on 17 February 1600 after an eight-year Inquisition trial, took the coincidence of contraries as the key to an infinite universe. In De la causa, principio et uno (London, 1584) he grounds the cosmos in a single substance, an infinite One in which matter and form, and ultimately all contraries, fall together; in De l’infinito universo et mondi of the same year the universe becomes infinite, homogeneous, centerless, and filled with innumerable suns and earths. The Stanford Encyclopedia’s account of Bruno notes that he drew his infinite cosmos directly from Nicholas of Cusa’s coincidence of opposites and the mathematical analogy of the infinite circle and the straight line, and faulted Copernicus only for not going far enough — for remaining a mathematician where he should have become a philosopher of nature. With Bruno the doctrine crosses from the description of an unknowable God to the structure of the world itself: what Cusa located at the summit beyond knowing, Bruno spread across an actual infinite expanse.

The Lutheran shoemaker of Görlitz, Jacob Boehme (1575–1624), built his cosmogony on the strife and union of opposing principles — a current carried forward as Christian theosophy. Where Cusa reasons toward an unknowable God, Boehme narrates a divine becoming. In his unprinted manuscript Aurora, begun in January 1612 and confiscated by the Görlitz town council the following year, and in the later Mysterium Magnum and De Signatura Rerum, he describes a Godhead that is at first a groundless will, an Ungrund or abyss without quality, which can know itself only by generating its own contrary. Wrath stands against love, darkness against light, the contracting fire against the expanding light-flash; and the divine life is precisely the eternal turning of these opposed principles into one another. The opposites do not quietly coincide at a remote summit. They wrestle, and their wrestling is the self-revelation of God. Boehme thus gives the formula a temporal, dramatic, and generative form that is almost the inverse of Cusa’s static geometry of the maximum, even as both place the union of contraries at the root of the divine. The contrast is itself instructive: one current reasons upward toward a God who cannot be known, the other tells the story of a God coming to be known through conflict.

Behind both, and feeding Boehme in particular, runs the older language of alchemy, with its coniunctio or union of contraries — the chemical wedding of Sol and Luna, sulphur and mercury, king and queen, fixed and volatile, out of whose marriage the philosophers’ stone is born. The motif is ancient, and it supplied a ready-made image of opposed natures reconciled into a third thing greater than either. The practical architecture of that work — its stages, its furnaces, its sequence of color changes — belongs to its own current and is treated there; what concerns the doctrine of coinciding opposites is only the symbol, the union of contraries as a figure for a unity that the divided mind cannot otherwise hold.

Jung and the psychological turn

In the twentieth century the phrase changed register again. C. G. Jung (1875–1961) borrowed coincidentia oppositorum for his analytical psychology, using it for the reconciliation of opposing forces within the psyche that he treated as the aim of individuation — the drawing together of conscious and unconscious, of the ego and its shadow, of the masculine and feminine figures of the inner life, into the integrated wholeness he called the Self. The doctrine entered his work not from a reading of Cusa but from the visionary period of 1913–1917, his confrontation with the unconscious, and surfaced early in the figure of Abraxas in the privately printed Septem Sermones ad Mortuos (1916), a deity posited beyond the opposition of good and evil. From 1928, when Richard Wilhelm sent him a Taoist alchemical text, Jung turned to European alchemy and read its union of contraries — the coniunctio of Sol and Luna — as a symbolic record of the very process of psychic integration he was charting. Mysterium Coniunctionis (1955–1956), his last major work, takes that union as its theme.

Whether Jung’s usage names what Cusa meant, or only shares its words, is a question scholarship has not settled. The appropriation is genuine: Jung knew the term and used it deliberately, and a metaphysics that unites opposites in the infinite and a psychology that unites them in the Self share a structural rhyme — but the equivalence is contested. Cusa’s opposites coincide in a God beyond being, the object of a learned ignorance; Jung’s coincide in a psychic totality, the object of a developmental process inside the human person. The historian Wouter Hanegraaff has described Jung’s method as a psychologisation of esoteric materials — the transposition of metaphysical and theological language out of the contexts in which it functioned and into a universalist account of the structures of the psyche. On that reading Jung’s coincidentia is a powerful and productive borrowing, but a borrowing, and its likeness to Cusa’s may be a likeness of vocabulary more than of doctrine.

Sources and scholarship

The phrase’s primary witness is Cusa’s own De Docta Ignorantia (1440), whose fifteenth-century Latin survives in the Strasbourg 1488 editio princeps and the later Paris 1514 and Basel 1565 collected editions, all in the public domain; the modern critical text is the Heidelberg Academy Opera Omnia (Felix Meiner, 1932–2014), begun by Ernst Hoffmann and Raymond Klibansky. Ernst Cassirer’s Individuum und Kosmos in der Philosophie der Renaissance (Teubner, 1927) made Cusa the hinge of Renaissance thought and famously called him “the first modern thinker,” reframing the coincidence of opposites as an inaugural move in modern epistemology. The standard analytic guide in English is Jasper Hopkins’s Nicholas of Cusa on Learned Ignorance (Banning Press, 1985); the philosophical contours of the doctrine and its Dionysian background are surveyed in the Stanford Encyclopedia of Philosophy’s entry on Cusanus, which treats the coincidence of opposites as a figure for thinking past finite things toward the transcendent One.

For the apophatic ancestry, the C. E. Rolt translation of Dionysius the Areopagite on the Divine Names and the Mystical Theology (SPCK, 1920) remains the accessible English window onto the source, and is held in the Library; the critical framing is in the Stanford Encyclopedia’s Pseudo-Dionysius entry. For the early-modern reception, Alexandre Koyré’s La philosophie de Jacob Boehme (Vrin, 1929) is the foundational study of Boehme’s metaphysics of the Ungrund; Frances Yates’s Giordano Bruno and the Hermetic Tradition (Routledge, 1964) set the terms of the modern Bruno debate, since qualified by Hilary Gatti and Ingrid Rowland. Hegel had already enrolled Boehme in the history of philosophy as “the first German philosopher” in his Lectures on the History of Philosophy, whose third volume — translated by E. S. Haldane and Frances H. Simson in 1896 — treats him at length and is freely available in the Project Gutenberg text. For Jung’s appropriation and the question of its fidelity, the indispensable critical account is Wouter Hanegraaff’s Esotericism and the Academy (Cambridge University Press, 2012).

Why the formula travels

What recommends the formula to so many hands is its economy. It supplies a single move for any system that places its highest principle beyond the divisions of ordinary thought — a way of saying that at the summit the distinctions which organise everything below no longer hold. A theologian can use it to guard the transcendence of God; a cosmologist to break the bounded world open into infinity; a visionary to narrate a God who comes to be through conflict; a psychologist to name the goal of an inner integration. That it keeps resurfacing, in mystic, philosopher, and psychologist alike, marks less a shared doctrine than a shared problem: how to speak of something held to lie past the categories in which speech is built.

→ In the library: Steiner — Mystics of the Renaissance (Boehme, Bruno) (1911) · Rolt — Dionysius the Areopagite on the Divine Names and the Mystical Theology (1920)

→ Related: The One · Neoplatonism · Emanation · Nous · Gnosis · Nicholas Of Cusa · Learned Ignorance Docta Ignorantia · Giordano Bruno · Christian Theosophy Boehmean · Carl Jung · Pseudo Dionysius The Areopagite · Apophatic Theology · Meister Eckhart · Alchemy · Christian Mysticism