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14.9 MB
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April 20, 2026, 3:48 a.m.
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(Last updated: April 20, 2026, 3:48 a.m.)
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| Uploaded by andryold1 | Size 14.9 MB | Health [ 10 /12 ] | Added 2026-04-20 |
NOTE
SOURCE: Overmann K. Cultural Number Systems. A Sourcebook 2025
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COVER
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MEDIAINFO
Textbook in PDF format This sourcebook presents an extensive look at cultural number systems in numeracy and writing systems. Based on a decade of research by the author, the work examines topics such as why Xerxes the First counted his army by having his men march through an enclosure big enough to hold 10,000 of them at a time, why the Hawaiian word for "twenty" means “nine and two,” why an ancient Greek mathematician was driven mad by irrational numbers, and how old counting might be and how we might know this. Along the way, the author describes topics such as dactylonomy, the ancient art of expressing and calculating numbers with the fingers; specified counting, the use of different counting sequences to count different types of objects; and the ephemeral abacus, strategies for counting that involve people and goods but not an actual device. The chapters are organized into six geographical areas (the ancient Near East, Africa, Europe, Asia/India, Oceania, and the Americas). List of Figures List of Tables Introduction Number Systems in the Ancient Near East Sumerian Numbers Minority Traditions Akkadian Numbers Elamite Numbers Numbers in the Achaemenid Empire Egyptian Numbers Number Systems in Africa The Ishango Bone Yoruba Numbers Igbo Numbers Ngiti Numbers Numbers in Sessuto African Finger-Counting Number Systems in Europe Prehistoric Finger-Counting The Taï Plaque Non-decimal and Unusual Decimal Counting Systems Greek Numbers Roman Numerals Dactylonomy (Digital Reckoning) Number Systems in Asia Chinese Numbers Chinese Calculating Methods Numbers in Japan Korean Numbers and Numeral Types Numbers in the Philippines Numbers in India Number Systems in Oceania Numbers in New Guinea: Body-Counting Numbers in New Guinea: Yam Counting and Other Counting Methods Numbers in Australia Numbers in Melanesia and Micronesia Numbers in Polynesia Misunderstandings, Mistakes, and Outright Frauds Number Systems in the Americas The Arctic: Inuit Numbers Northern California: Pomo Numbers Northern California: Number Systems Based on Fours and Eights Mesoamerica: Maya Numbers Western South America: Inka numbers Amazonian Number Systems: Desana, Mundurukú, and Pirahã Conclusion Index
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