Translated from french (please notify us of errors)
Although we sometimes count on our fingers, it never gets us very far. At ten, we have exhausted our natural resources. Getting round the problem, the Greeks – and after them the Romans – used a system allowing them to count up to 99 on one hand, and thus up to 9999 on both. This obviously required a good memory and a certain manual dexterity.
The practice was so deeply embedded in everyday usage that no ancient author bothered to describe it systematically. We must wait until the eighth century. Around 725, when the Western Roman Empire had already been gone for more than two centuries, Bede the Venerable, a monk of Northumbria, meticulously recorded the method at the start of his treatise De temporum ratione. Included in a work devoted to the calculation of time and the date of Easter, the ancient numerical language of the fingers thus became an instrument of ecclesiastical computus.
Finger-reckoning gradually declined, but survived throughout the Middle Ages and into the Renaissance. Fibonacci still describes it in the Liber abaci, composed in 1202 and revised in 1228, and Luca Pacioli later gave it a famous printed depiction in 1494. Its use eventually died out, though the technique did not disappear from manuscripts and scholarly works.
In 2006, Gérard Minaud, a doctor of history then affiliated with the Université Paul-Cézanne in Aix-Marseille, renewed the study of the subject by systematically comparing it with Roman iconography. He published a detailed article entitled “Des doigts pour le dire”[1].
The researcher notes that the existence of finger-reckoning is confirmed in at least forty-eight Latin texts written between the 3rd century BCE and the 6th century CE[2]. But these authors allude to the practice merely as an illustration or an anecdote, without naming it. Only two authors, Quintilian and Apuleius, call it gestus computationis[3].
An even earlier trace is found in the Greek comic poet Aristophanes, who wrote the following in 422 BCE:
“And first calculate simply, not with pebbles, but using your hand, the tribute owed to us from the total of the allied cities”.[4]
If the use of this digital numeration technique “was so common and unexplained in the texts, it is because Roman readers certainly understood them without the slightest difficulty”, comments Gérard Minaud, who then compares Bede the Venerable’s explanations with ancient iconography.
A fine example is provided by the stele of the vegetable seller from Ostia. Behind his stall, the merchant holds out his right hand, with the ring finger and little finger folded onto the palm, which expresses the number eight. A price, presumably. For Bede, the right hand was used for hundreds and thousands, but his description is theoretical: “My hypothesis is that when the thousand mark has not been reached, a single hand – whether left or right – could indicate units and tens while retaining the same dactylological syntax”, the researcher observes.
A few years after Gérard Minaud, two mathematician researchers, Jérôme Gavin and Alain Schärlig, devoted an entire book to ancient finger-reckoning[5], with the aim of uncovering hidden messages in ancient works of art by observing the position of the hands. Jérôme Gavin recounts that his curiosity was sparked tenfold during a visit to the Musée d’Art et d’Histoire in Geneva with his son. Observing funerary niches from the 2nd century originating from Palmyra, he noticed that the hands of the figures depicted probably expressed coded numbers. Across the centuries, the statues speak a symbolic language, one that is inaudible today to most people. For every number, of course, carried a symbolic meaning in addition to its mathematical value. This meaning could naturally vary depending on place and period[6].
But why did finger-reckoning actually disappear? Gavin and Schärlig offer an explanation. In a Mediterranean world where different languages and writing systems coexisted, the manual representation of numbers allowed communication without speaking or writing. The gradual spread of Indo-Arabic numerals and written calculation, from the end of the Middle Ages onwards, would have progressively reduced the usefulness of this gestural language.
Find out more:
- To view the various finger positions, see the interactive finger-reckoning table.
[1] Gérard Minaud, Des doigts pour le dire, Histoire & mesure, XXI – 1 | 2006, pp. 3-34.
[2] Thus in: Plautus (Mil., v. 203-204), Cicero (Att., v. 21,13; Cael., xiv, 5), Ovid (Fasti, iii, v. 119-126; Pont., ii, 3, v. 17-18), Seneca (Ep. xii, 88, 10), Pliny the Elder (N. H., ii, xxi, 87; xxxiv, xvi, 33; xxxiv, xix, 88), Quintilian (i, 10, 35; xi, 3, 94; xi, 3, 114; xi, 3, 117), Juvenal (x, 248), Apuleius (Apol., 89, 6-7), Pliny the Younger (Ep. ii, 20, 3), Suetonius (Claud.,xxi),
[3] Quintilian, Institutio oratoria I, 10.35:
in quibus actor, non dico, si circa summas trepidat, sed si digitorum saltem incerto aut indecoro gestu a computatione dissentit, iudicatur indoctus.
“the advocate is thought ignorant there, I do not say only if he hesitates over the sums, but even if, in counting on his fingers, an uncertain or ungraceful gesture fails to match the calculation.”
Apuleius, Apologia, 89, 6-7:
Si triginta annos pro decem dixisses, posses videri computationis gestu errasse, quos circulare debueris digitos aperuisse. Cum vero quadraginta, quae facilius ceteris porrecta palma significantur, ea quadraginta tu dimidio auges, non potest digitorum gestu errasse, nisi forte triginta annorum Pudentillam ratus binos cuiusque anni consules numerasti.
“Had you said thirty years instead of ten, one might have thought you had erred in the gesture used for counting, by opening the fingers you should have curled into a circle. But forty is more easily represented than any other number, simply by presenting the open palm. Since you increase these forty years by half, you cannot have erred in the gesture of the fingers – unless, believing Pudentilla to be thirty years old, you counted two consuls for each of her years.”
[4] Aristophanes, The Wasps, 656–657.
[5] Jérôme Gavin et Alain Schärlig, Sur les doigts, jusqu’à 9999, La numération digitale, des Anciens à la Renaissance, 2014, Presses polytechniques et universitaires romandes. Jérôme Gavin teaches mathematics at the Collège Voltaire in Geneva. Alain Schärlig (1936-2025) was a mathematician (University of Geneva) and held a doctorate in political economy (University of Dijon). After retiring, he devoted himself to the history of calculation, a field in which he published several works.
[6] Here is a symbolic reading of numbers in Greco-Roman Antiquity, to be taken with caution since it is necessarily a simplification.
The number 1 symbolised primordial unity, the creative principle and the origin of all things. It was associated with Apollo in Greek mythology.
2 represented duality, opposition and complementarity (day/night, man/woman, etc.). It was linked to Artemis/Diana, Apollo’s twin sister.
3 was considered sacred, associated with numerous divine triads such as Zeus/Jupiter, Poseidon/Neptune and Hades/Pluto. It symbolised perfection and completeness.
4 represented stability and cosmic order, linked to the four elements (earth, water, air, fire) and the four seasons.
5 symbolised harmony and balance. It was associated with marriage and with Aphrodite/Venus.
6 was considered a perfect number by the Pythagoreans. It represented balance and creation.
7 was seen as a sacred number symbolising totality and perfection. It is found in the seven wonders of the ancient world.
8 was associated with justice and cosmic balance. It also represented regeneration.
9 symbolised the completion of a cycle. It was linked to the nine Muses in Greek mythology.
10 represented divine and cosmic perfection for the Pythagoreans. It was associated with the decad.
11 symbolised excess and overreach. It was considered a transitional number.
12 held particular importance, visible in the pantheon of the twelve Olympian gods or the twelve labours of Hercules. It represented cosmic fullness.
First published: August 2024. Revised version: July 2026.
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