Tetraktys

The tetraktys — the Pythagorean triangular figure formed by arranging the first four integers (1+2+3+4=10) as a pyramid of points — appears in the depth-psychology corpus as a symbol of cardinal importance for understanding the psychic structure of wholeness, number symbolism, and the quaternary principle. Jung invokes it with notable economy but precision: in ‘Psychology and Religion: West and East’ it is listed alongside the quaternity and the Tetramorph as an archetype of fourfold order, and a footnote directs the reader to multiple discussions of its psychology, signalling its conceptual weight rather than its discursive elaboration. Edinger, characteristically, provides the fuller exegesis, situating the tetraktys within Pythagorean arithmos and glossing Burkert’s report that it was identified with ‘the harmony in which the Sirens sing’ — that is, with the music of the spheres and the numerical substrate of the cosmos. The passage in Jung’s ‘Archetypes and the Collective Unconscious’ linking the union of heaven (ch’ien) and earth (kun) in the I Ching to a tetraktys ‘which, as in Pythagoras, underlies all existence’ is the most cosmologically ambitious deployment of the term. Pauli’s engagement with Kepler’s quaternary theology of nature provides a physics-adjacent parallel. The term thus stands at the intersection of Pythagorean number-mysticism, alchemical quaternary symbolism, and Jungian psycho-cosmology.

In the library 10 passages

The tetractys, a ‘tetrad’ made up of unequal members, is a cryptic formula, only comprehensible to the initiated…. The Sirens produce the music of the spheres, the whole universe is harmony and number, arithmos.

Edinger identifies the tetraktys as the central Pythagorean symbol equating numerical order with cosmic harmony, explicating it as the encrypted foundation of the entire Pythagorean worldview.

Edinger, Edward F., The Psyche in Antiquity, Book One: Early Greek Philosophy From Thales to Plotinus, 1999thesis

Dig deeper with Sebastian →

The Jungian of heaven with kun, the feminine and receptive, produces the tetraktys, which, as in Pythagoras, underlies all existence.

Jung explicitly identifies the I Ching’s cosmological union of heavenly and earthly principles with the Pythagorean tetraktys, asserting it as the foundational numerical structure underlying existence.

Jung, Carl Gustav, The Archetypes and the Collective Unconscious, 1959thesis

Dig deeper with Sebastian →

For the psychology of the tetraktys, see my ‘Commentary on The Secret of the Golden Flower,’ par. 31; ‘Dogma of the Trinity,’ pars. 246, 268ff.; and Hauer, ‘Symbole und Erfahrung des Selbstes in der Indo-Arischen Mystik.’

Jung’s footnote maps the tetraktys onto a network of psychological investigations spanning Taoism, Christian Trinity doctrine, and Indo-Aryan mysticism, establishing it as a cross-cultural psychological category.

Jung, Carl Gustav, Psychology and Religion: West and East, 1958thesis

Dig deeper with Sebastian →

tetraktys, 37, 52, 167 dissolution of, by demiurge, 54 see also four; quaternity

The index cross-references to the tetraktys in ‘Psychology and Religion’ link it programmatically to the quaternity and to the Gnostic demiurge’s dissolution of the fourfold, placing it within the schema of psychic wholeness and its disruption.

Jung, Carl Gustav, Psychology and Religion: West and East, 1958supporting

Dig deeper with Sebastian →

tetrad(s), 243 tetradic mandala, 361 Tetragrammaton, 330 tetraktys, 359 tetrameria, 310, 319, 332

The index entry in ‘The Archetypes and the Collective Unconscious’ situates the tetraktys within a cluster of fourfold symbols — mandala, Tetragrammaton, tetrameria — confirming its place in Jung’s broader quaternary symbolism.

Jung, Carl Gustav, The Archetypes and the Collective Unconscious, 1959supporting

Dig deeper with Sebastian →

A central concept of the Pythagoreans was arithmos, number. They were responsible for the discovery of numbers as a conceptual paradigm; they were gripped by the numinosity of

Edinger contextualises the tetraktys within the Pythagorean discovery of the numinous power of number as a conceptual and cosmological paradigm, framing the symbol’s psychological significance as rooted in the experience of arithmos.

Edinger, Edward F, The Psyche in Antiquity, Book One Early Greek Philosophy supporting

Dig deeper with Sebastian →

One becomes two, two becomes three, and out of the third comes the One as the fourth. Another version reads this way: One, and it is two; and two, and it is three; and three, and it is four; and four, and it is three.

Edinger’s exposition of the Axiom of Maria as a number symbolism connecting one through four provides the alchemical parallel to the tetraktys, demonstrating the persistence of the 1-2-3-4 quaternary schema in the Western psychological tradition.

Edinger, Edward F., The Mysterium Lectures: A Journey Through C.G. Jung’s Mysterium Coniunctionis, 1995supporting

Dig deeper with Sebastian →

Nature herself, deriving her origin from the Godhead, also lays claim to this number as to her fundamental principle.

Pauli’s citation of Kepler on the quaternary as the ‘fundamental principle’ of Nature provides a scientific-theological parallel to the tetraktys doctrine, anchoring the symbol in Renaissance natural philosophy.

Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting

Dig deeper with Sebastian →

In this symbolic image we see, first of all, an indication of the quaternary in the cross, four lines being arranged so as to meet in a common point. Joined with the number 3, which denotes the moon, the sun, and fire, this [quaternary] will produce the number 7.

Pauli’s analysis of Kepler’s symbolic image of cross and quaternary illustrates how the fourfold numerical principle — implicit in the tetraktys — operates as an archetype in scientific cosmology.

Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting

Dig deeper with Sebastian →

Three of the four orienting functions are available to consciousness… His inferior function will be feeling (valuation), which remains in a retarded state and is contaminated with the unconscious.

Jung’s account of the three-plus-one structure of psychological functions enacts, without naming the tetraktys, the same quaternary logic the symbol embodies: three accessible and one withheld or inferior.

Jung, Carl Gustav, Psychology and Religion: West and East, 1958aside

Dig deeper with Sebastian →

Related terms