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Finger-counting

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Finger Counting, or Dactylonomy, is the art of counting along one's fingers. Though marginalized in modern societies by Arabic numerals, formerly different systems flourished in many cultures,[Note 1][Note 2] including educated methods far more sophisticated than the one-by-one finger count taught today in preschool education.

Finger counting can also serve as a form of manual communication, particularly in marketplace trading – including hand signaling during open outcry in floor trading – and also in games such as morra.

Finger counting varies between cultures and over time, and is studied by ethnomathematics. Cultural differences in counting are sometimes used as a shibboleth, particularly to distinguish nationalities in war time. These form a plot point in the film Inglourious Basterds, by Quentin Tarantino, and in the novel Pi in the Sky, by John D. Barrow.[1][2]

Cultural differences

English-speaking countries

The count to 5 starts with the extension of the index finger (number 1) and continues to the little finger (number 4). The extension of the thumb indicates five. The process is repeated on the other hand for numbers up to 10. For example, the number 7 is indicated by an open palm with all five digits extended on one hand, the extension of the index and middle finger on the other.

A person indicating a numeral to another will hold up their fingers to signal the specific number. For example, an English speaker will raise their index, middle, and ring fingers vertically to signal the number 3. [3]

Europe

For Western speakers, such as Germans or Frenchs, the thumb represents the first digit to be counted (number 1). The index finger is number 2 through to the little finger as number 5. Fingers are generally extended while counting, beginning at the thumb and finishing at the little finger. For example a Western European would use their thumb, and index, middle and ring fingers to express the number 4.[3]

In Eastern Europe, the thumb is digit number 1 and the fingers - in the same order - represent 2 to 5. However counting begins with all digits extended. Numbers are expressed by folding fingers and the thumb inwards.[disputed – discuss]

Asia

Finger counting systems still in use in many regions of Asia allow the counting to 12 by using a single hand. The thumb acts as a pointer touching each finger tip in turn. One hand is used to count numbers up to 12. The other hand is used to display the number of completed base-12s. This continues until five dozen is reached, therefore 60 is counted.[4][Note 3][5]

Chinese number gestures count up to 10 but can exhibit some regional differences.

In Japan counting for oneself begins with the palm of one hand open. Like in Eastern Europe, the thumb represents number 1; the little finger is number 5. Digits are folded inwards while counting. A closed palm indicates number 5. By reversing the action, number 6 is indicated by an extended little finger. A return to an open palm signals the number 10. However to indicate numerals to others, the hand is used in the same manner as an English speaker. The index finger becomes number 1; the thumb now represents number 5. For numbers above five, the appropriate number of fingers from the other hand are placed against the palm. For example, number 7 is represented by the index and middle finger pressed against the palm of the open hand.[6] Number 10 is displayed by presenting both hands open with outward palms.

Historical counting

Complex systems of dactylonomy were used in the ancient world.[7] This counting was in use in Persia in the first century CE, and thus may have originated there; it continued in the Islamic world through the middle ages, and is mentioned in poetry and the Quran.[7] A very similar form is presented by the English monk and historian Bede in the first chapter of his De temporum ratione, (725), entitled "Tractatus de computo, vel loquela per gestum digitorum",[2][7] which allowed counting up to 9,999 on two hands, though it was apparently little-used for numbers of 100 or more. This system remained in use through the European middle ages, being presented in slightly modified form by Luca Pacioli in his seminal Summa de Arithmetica (1494).

See also

Wikimedia Commons has media related to Counting gestures.

Notes

  1. ^ Georges Ifrah notes that humans learned to count on their hands. Ifrah shows, for example, a picture of Boethius (who lived 480–524 or 525) reckoning on his fingers in Ifrah 2000, p. 48.
  2. ^ Neugebauer 1952, p. 9 notes that as early as the 3rd millennium BCE, in Egypt's Old Kingdom, in the Pyramid texts' "Spell for obtaining a ferry-boat", the ferryman might object "Did you bring me a man who cannot number his fingers?". This spell was needed to cross a canal of the nether-world, as detailed in the Book of the Dead.
  3. ^ Translated from the French by David Bellos, E.F. Harding, Sophie Wood and Ian Monk. Ifrah supports his thesis by quoting idiomatic phrases from languages across the entire world.

References

  1. ^ Barrow, John D. (1993). Pi in the Sky. Penguin. p. 26. ISBN 978-0140231090.
  2. ^ a b "Dactylonomy". Laputan Logic. 16 November 2006. Retrieved May 12, 2012.
  3. ^ a b Pika,Simone; Nicoladis, Elena; and Marentette, Paula (2009). "How to Order a Beer: Cultural Differences in the Use of Conventional Gestures for Numbers". Journal of Cross-Cultural Psychology. 40 (1): 70–80. doi:10.1177/0022022108326197. {{cite journal}}: Unknown parameter |month= ignored (help)CS1 maint: multiple names: authors list (link)
  4. ^ Ifrah, Georges (2000), The Universal History of Numbers: From prehistory to the invention of the computer., John Wiley and Sons, p. 48, ISBN 0-471-39340-1
  5. ^ Macey, Samuel L. (1989). The Dynamics of Progress: Time, Method, and Measure. Atlanta, Georgia: University of Georgia Press. p. 92. ISBN 978-0-8203-3796-8.
  6. ^ Namiko Abe. "Counting on one's fingers" (in Japanese url=http://japanese.about.com/library/weekly/aa112198.htm). About.com. {{cite web}}: |access-date= requires |url= (help); Missing or empty |url= (help); Missing pipe in: |language= (help)CS1 maint: unrecognized language (link)
  7. ^ a b c Bloom, Jonathan M. (2001). "Hand sums: The ancient art of counting with your fingers". Yale University Press. Retrieved May 12, 2012.

Further reading

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