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Vedic Numerations and the Genesis of Arabic Numerals

By Narayan M. Kansara

Vol. 14February - 1990pp. 145–152English
Ancient Indian Mathematics

Summary

N. M. Kansara’s Vedic Numerations and the Genesis of Arabic Numerals investigates the origins of numeral systems and argues for India’s key role. European scholars have variously attributed the invention of numerals to Hebrews, Egyptians, Phoenicians, Chaldeans or Arabs. Kansara notes that despite borrowing from Greek and Chinese sources in astronomy, ancient Indian literature displays advanced civilisation, sciences and mathematics, including Pythagorean triples long before Pythagoras. The Sulbasutras and Vedangas show an independent origin of Hindu geometry and knowledge of irrational numbers and geometric constructions. The article observes that primary schools existed in early India and that writing and arithmetic were highly valued. During the Vedic period, Indians paid close attention to astronomy, implying sophisticated calculation. Although the earliest stages of numeral development remain uncertain, Kansara argues that India developed the positional decimal system and transmitted it to the Arab world and Europe. Recognising India’s contribution corrects Eurocentric histories and underscores global exchange in mathematics.

Summary reviewed by a volunteer editor.

Conclusion

Kansara concludes that ancient Indian texts reveal sophisticated mathematics and that the positional decimal system likely originated in India. This knowledge, transmitted via the Arab world to Europe, forms the basis of modern numeral systems. Acknowledging India’s role enriches our understanding of mathematical history and illustrates the interdependence of ancient cultures.

Key passages

Chosen by AI from the article's text. Each one is checked word for word against the text before it is shown.

  • “From earliest times even upto the present day the Hindu has been wont to put his thoughts into rhythmic form.”
  • “Our especial interest is in the Sautras, versified abridgments of the ritual and of ceremonial rules which contain consi- derable geometric material used in connection with alter construction,”
  • “In view of this overwhelmingly stupendous evidence of scientific kflo"{ledge of the Vedic people, will it not be rather childishly pathetical to s.ull stick to, and go on repeating the quite out-of-date medieval c?njec'mral opinions of the then celebrated orientalist”

Works cited in this article

  1. The Hindu Arabic Numerals. Ginn and Company, Boston and London, 1811, p. 27.
  2. Indische Palaeographie. Strasbourg, 1896, p. 5.
  3. A History of Civilization in Ancient India, Vol. I, p. 174.
  4. Mathematical, Metrological and Chronological Tablets from the Temple Library at Nippur; Vol. XX, Pt. I.
  5. On the Earliest Inscription from Chaldea. Proceedings of the Society Of Biblical Archaeology, XXI (1839), p. 301.

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In this issue

Vol. 14
1–6A Glimpse of Medical Recipes of the JainasJ. C. Sikdar1–40શાબરભાષ્યગત ભાષાવિચારNarayan M. Kansara1–6चित्तौड़गढ़ - कीर्तिस्तम्भ के 'नानाविषयविषयम्Neelima Agarwal1–12ReviewsV. M. Kulkarni7–11Historical Survey of Vaisesika LiteratureS. D. Jhala7–12महापुराण और भागवत में भरतचरितHarnarayan U. Pandya13–23Origin and Development of the SattakaChandramouli S. Naikar13–20विपाकसूत्र और अवदान-शतक का तुलनात्मक अध्ययन पारुल मांकडParul N. Mankad13–20અવલીકનRamesh S. Betai21–26Farewell to the DepartedUmakant Premanand Shah21–53मध्यकालीन गुजराती काम कथानक - एक अध्ययनHasu Yajnik24–36Art of Life as Propounded in Bhagwad‑GitaJayaben R. Betai27–29Review29–37ગુજરાતી ભાષાનું ઐતિહાસિક વ્યાકરણMahendrakumar A. Dave37–40Character of CandrapidaVijay Pandya41–47Tirthas in the Kandula PuranaS. K. Dave41–62પાણિનિય વ્યાકરણમાં લાઘવસિદ્ધિVasantkumar M. Bhatt49–56Campu: An Experiment in Free Style CompositionD. G. Vedia57–64Women Organizations and National Awareness in IndiaUsha Bhatt63–76રોમૅન્ટિસીજમ અને વ્યંગ્યRamesh S. Betai65–75Jain InstitutionsKumarpal Desai76–81Duti-YagaB. N. Shastri77–80જૈન સુરિશન્ય વિતરાગસ્તુતિMadhusudan Dhanki81–89શસ્ત્ર-ચિકિત્સાની પ્રાચીનતાPragnya Thakkar83–90Bhasarvaji’s Definition of Anumana – An ObservationLaxman V. Joshi91–104Upanisadic Influence on Mahayanasutralankara of AsangaYajneshwar S. Shastri91–97વૈકો કિત – વૈદન્યમભજ્જી ભાગિતિAruna K. Patel99–111જૈન દર્શન અને સંસ્કૃત ભાષાAmrut Upadhyay105–107Two Unique Images Of Brahmshanti-YakshaP. C. Parikh109–118Indian Theory of LiteratureHarivallabh Chunilal Bhayani113–121ઈશ્વર' શબ્દ – ઉત્પત્તિ અને વિકાસBharti D. Savan119–128Aesthetic Distancing In Sanskrit DramaB. K. Thakkar123–126મધ્યકાળમાં ગુજરાતનું સંસ્કૃત લલિત સાહિત્યમાં પ્રદાન– એક રૂપરેખાNagin G. Shah127–129પુરાતત્ત્વાચાર્ય મુનિશ્રી જિનવિજયજી : જીવન અને કાર્યRamnik Shah129–144Sumantra – The Rare Expression in Ancient Indian AdministrationSudarshan Kumar Sharma145–152Vedic Numerations and the Genesis of Arabic NumeralsNarayan M. KansaraCurrent article

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