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The Origin and Development of Numerals

By Sukumar Ranjan Das

Vol. 3 · No. 1March - 1927pp. 97–120English

Summary

The origin and development of numerals trace back to ancient Hindu practices, where early counting relied on finger positions to represent numbers up to 10,000. This system, later formalized into symbols, emphasized practicality for daily life, leading to the belief in divine origin as noted by Bhaskara. Vedic literature (circa 3,000–6,000 B.C.) reflects advanced reckoning needs, with astronomical references in hymns. Numerals evolved from finger-based signs to alphabetic representations, with Sanskrit terms for large numbers suggesting antiquity. While the Hindu-Arabic numeral system is often attributed to Arab scholars, historical evidence indicates medieval and Renaissance writers recognized their Indian roots. The exact origins remain unclear due to scant records, but numerals' global utility underscores their foundational role in mathematics. [Post-publication note: Modern scholarship increasingly supports the Hindu origin of numerals, challenging earlier Eurocentric narratives.]

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Conclusion

This document elucidates the profound historical and cultural significance of Hindu numerals, tracing their development from ancient finger-based counting systems to a sophisticated decimal framework. The transition from temporary finger positions to permanent symbols represents a critical leap in mathematical cognition, enabling precise record-keeping and complex calculations. The divine attribution of numerals' origin underscores their revered status in Hindu tradition, reflecting their integral role in daily life and spiritual practices. The persistence of these numerals across millennia, influencing diverse global systems, highlights their universal utility and adaptability. By examining Vedic hymns and early literary records, the text establishes the antiquity of numerical concepts in human civilization, positioning them as foundational to both practical needs and abstract thought. This analysis not only contextualizes numerals within India's intellectual heritage but also underscores their enduring legacy in shaping modern arithmetic.

Key passages

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  • “The numerals ણ the nine fgurcs, with the deviee હોં places, દ» make them suffice for all numbers,”” says Bhiskara in his Visana, Yoriginate from the bencficent Creator of the Universe.””
  • “The use of visible signs 8૩ represent numbers and add reckoning is not only older than writing, but also older than the development છો numerical પિ रु on the denary svstem.”
  • “The earliest undoubted 6૦૮૫1૪૯1૦૯ of a zero in India is an inscription at Gwalior, dated Sammvat 933 (876 A.D.), where 50 garlands are mentioned (line 20), 50 is wrtten તડ चर, 270 (line 4) 15 written ઘડ 7૦.”

Works cited in this article

  1. Nicholas Rabda of Smyrna
  2. FPalmer in the Journal of Philolegy, vol. 11, pp. 247
  3. Peacock in his work on arithmetic
  4. Robert Recorde (૦. 1342), England’s earliest arithmetical text-book writer
  5. G. R. Kaye, Notes બા Indian Mathematics—Arithmetical Notation”, Journal end Proceedings of the Asiatic Society of Bengal, vol, [11, 1907, p. 489

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In this issue

Vol. 3 · No. 1
1–12The Final Defeat of MihirakulaH. Heras13–24Some Old Bengali Books and Periodicals in the British MuseumSushil Kumar De25–47Some Lights on Ancient World History from the PuranasJwala Prasad Singhal48–53Ancient South Indian Gold CoinageR. Srinivasa Raghava Ayyangar53–59Method of Plastering Walls for Painting ( Sudhalepavidhanam )V. Venkatarama Sharma60–68Taranatha's History of Buddhism in IndiaA. Schiefner68–72The Ramayana of Valmiki Mentions Two KosalasL. P. Pandeya Sharma73–88The Kalinga EdictManindra Mohan Bose89–96The Lost Bhowal Copper-Plate of Laksmana Sena Deva of BengalNalini Kanta Bhattasali97–120The Origin and Development of NumeralsSukumar Ranjan DasCurrent article121–133On Metals and Metallurgy in Ancient IndiaManindra Nath Banerji134–143Siege of Bednore, 1783Surath Charan Sengupta143–151Indian Literature AbroadPrabhat Kumar Mukherji152–160The Nyayapravesa of DinnagaVidhushekhara Bhattacharya161–169Tibetan Translation of the Sadhanamala: A ReplyK. S. Ramaswami Sastri169–171Bharavi and DandinG. Harihara Sastri171–173The BhagavadajjukiyamP. Anujan Achan173–176Balpur Copper-Coins of PratapamalladevaL. P. Pandeya Sharma176–180Kautalya and MachiavelliV. R. Ramachandra Dikshitar180–181The Malla Era of VisnupurHariprasad G. Shastri181–182Patanjali and His Knowledge of ScienceK. Chattopadhyaya183–184Did Madhvacarya Tour in Bengal?Ramesh Basu185–186Jataka Representations in SiamPhanindra Nath Bose186–189Date of Accession of King LaksmanasenaChintaharan Chakravarti189–214On Some Methods and Conclusions in Hindu PoliticsBenoy Kumar Sarkar214–218The Family-Seats of the Candras of Bengal and of the (so-called) Tungas of OrissaHaridas Mitra219–225Reviews and Nalavilasa-NatakaNalinaksha Dutt, D. Bhattacharya, T. K. Krishna Menon226–228Select Contents of Oriental Journals229–230Bibliographical Notes231–234Obituary NoticesNalinaksha Dutt

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