Infinity meaning
The infinity sign ∞ was introduced by John Wallis in 1655 for a quantity larger than any finite one. He did not explain the shape. Endless-return tattoos are a later feeling laid on his notation.
A typesetter’s sign that escaped into metaphysics.
The name. Wallis did not explain the picture. Lemniscate, from the Latin for a ribbon, is a later mathematical name.
Where it comes from
John Wallis introduced ∞ in De sectionibus conicis (1655) for a quantity larger than any finite magnitude. He left the shape unexplained. It may echo a Roman numeral variant for a thousand, or a ribbon, or a figure-eight. We do not have his sentence. Cantor, centuries on, showed that infinities come in sizes. The mystical use — endless return, an ouroboros ironed flat — is a borrowing from the notation, not its source.
Geometry
A precise idea, then a feeling
In mathematics the sign does work: it ends a series, it marks an unbounded limit, it gets an aleph beside it when one infinity is not enough. None of that is “the universe is a loop.” You may love the loop. Credit the love to the readers, and the sign to Wallis.
Hermetic
Why it feels like the serpent
A closed ribbon has no end to rest your eye on. The ouroboros trained European eyes to feel that as cosmic. When Wallis’s mark arrived, the feeling was waiting. Migration from a printed book into a tattoo is a normal life for a successful symbol. The migration has a direction. Do not reverse it.
Near this
- OuroborosThe serpent that eats itself, and so has no outside.
- Endless knotA line with no start, so nothing in it stands alone.
- Vesica piscisTwo equal circles, each through the other’s center. A third shape appears.
- Peace signA designed mark, with an author, a day, and a brief.
- AlephAn infinity with a size. Not the same as an infinity you pray to.
Sources
- John Wallis, De sectionibus conicis (1655)
Named when the entry depends on a text, a date, or a standard. Catalog numbers are not invented.
Your margin
Private. It stays in this browser and never joins the canon.
symbol.wiki, edited as Sigilla. Last reviewed 2 October 2026. A reading of public tradition, not a ruling.