Marie-Louise von Franz and the Alchemy of Number
"One, two, three, but where, my dear Timaeus, is the fourth of those who were yesterday my guests?" With this odd question, Plato opens one of his most famous dialogues. The count is off by one, and a missing person is noted, but the remark has long been read as a hint about something deeper: the strange way in which the numbers one, two, three and four seem to carry a meaning of their own.
More than two thousand years later, a Swiss scholar took that hint seriously and spent decades following it. Her name was Marie-Louise von Franz.
A Student of Jung
Von Franz was born in Munich in 1915 and grew up in Switzerland. She was a gifted student of classical languages, and at the age of eighteen she met the psychologist Carl Gustav Jung, who became her teacher, colleague and friend.
She worked beside him until his death in 1961, and she helped to found the C. G. Jung Institute in Zurich in 1948. She died in Kusnacht in 1998.
Her mastery of Latin and Greek made her valuable to Jung. She helped him with the alchemical texts that fill his late work, and she edited and commented on Aurora Consurgens, a medieval alchemical text attributed to Thomas Aquinas, a claim she defended and that many scholars doubt. She also wrote on fairy tales, dreams and the psychology of alchemy.
Number as Quality
Her most unusual book is Number and Time, published in German in 1970. It asks what numbers are. Most people think of them as tools for counting. Von Franz, following Jung, proposed that the first natural numbers also have a quality, a character that we feel but cannot easily define. One is wholeness, two is division and opposition, three is movement and change, and four is completion and order.
This idea is much older than psychology. The Pythagoreans of ancient Greece honored the number ten as the sum of the first four numbers (1+2+3+4), and they swore an oath by this arrangement, which they called the tetractys. Von Franz's claim was that this feeling for number is not a quirk of one school but a recurring pattern in human thought.
She called it an archetype: a basic form of the psyche that shows up in myths, dreams and ritual in many cultures.
The Axiom of Maria
A favorite text for her was an old alchemical saying attributed to Maria the Jewess, also called Maria Prophetissa, a figure who may have lived in Egypt in the early centuries of our era. The saying goes: "One becomes two, two becomes three, and out of the third comes the one as the fourth."
Jung and von Franz saw in this riddle a picture of how the psyche develops. There is first a whole, which divides into opposites. A third element then reconciles them, and a new, higher unity emerges. It echoes the question in Plato's dialogue, and it fits the long alchemical dream of turning many things into one.
This is a psychological reading, and it is not the only one. Historians point out that the original alchemists were also working with real substances.
Number, Divination and Synchronicity
Von Franz was also interested in methods of divination, especially the Chinese I Ching, the "Book of Changes," which uses 64 figures built from broken and unbroken lines. In On Divination and Synchronicity (1980), she explored how number structures such methods.
Jung had proposed the idea of synchronicity, meaning a meaningful coincidence between an inner state and an outer event that has no causal link. Von Franz suggested that number may be the link between the world of matter and the world of mind.
It is important to be clear about the status of these ideas. Synchronicity and archetypes are proposals of depth psychology and not established results of science. Divination has never been shown by controlled study to predict the future. Many physicists and mathematicians view the notion of number archetypes with skepticism, and it is fair to say that von Franz's work belongs to the history of ideas more than to mathematics. Even her admirers admit that her claims are suggestive and not proven.
What Remains Useful
Why, then, is the book worth reading? One reason is that it takes seriously a question that mathematicians themselves find puzzling: why does abstract number describe the physical world so well? Another is that it reminds us that people have always felt numbers to have a personality, as the Pythagoreans, the Chinese sages and the medieval alchemists all did. Even a skeptical reader can enjoy tracing these threads through cultures.
A caution is also in order. Psychological reading of symbols can be a thoughtful companion for reflection, but it is not a treatment. Anyone who is struggling with distress should turn to a doctor or a trained therapist and not to a book on numbers.
Closing
Plato's guests were counted wrongly, and no one explained why. Von Franz did not claim to answer the riddle, but she insisted that it was worth asking. When we count, we count things; when we feel the difference between one, two, three and four, we touch something that cannot be counted at all. The old teachers may have been right to say that this is where the study of number begins.
Related Esoteric Inquiries
- Marie-Louise von Franz: Alchemy and Fairytales
- The Undine: The Symbolism of the Spirit of the Water
- The Sylph: The Symbolism of the Spirit of the Air
Lux Esoterica.
2026.
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