The Lokavibhāga is a Jain cosmological text originally composed in Prakrit by a Digambara monk, Sarvanandi, surviving in a later Sanskrit translation by one Siṃhasūri. It the oldest known Indian source to use zero as number. Surviving manuscripts of the Lokavibhāga are listed in v.26 of the New Catalogus Catalogorum. Parts of the Bakhshali Manuscript on arithmetic, which does use a physically written symbol for zero, have been carbon-dated, but the results of this dating are puzzling and are still being debated.
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| - Lokavibhâga (fr)
- Lokavibhaga (en)
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| - The Lokavibhāga is a Jain cosmological text originally composed in Prakrit by a Digambara monk, Sarvanandi, surviving in a later Sanskrit translation by one Siṃhasūri. It the oldest known Indian source to use zero as number. Surviving manuscripts of the Lokavibhāga are listed in v.26 of the New Catalogus Catalogorum. Parts of the Bakhshali Manuscript on arithmetic, which does use a physically written symbol for zero, have been carbon-dated, but the results of this dating are puzzling and are still being debated. (en)
- Le Lokavibhâga est un traité de cosmologie jaïn du Ve siècle connu pour son utilisation du zéro dans l'énonciation positionnelle des nombres.Il témoigne de l'usage des symboles numériques sanskrits par les lettrés indiens avant même l'époque d'Aryabhata.Le texte emploie en particulier le mot shunya (vide) ainsi que les mots gagana et ambara (ciel) pour désigner le zéro dans l'écriture des nombres. (fr)
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| - The Lokavibhāga is a Jain cosmological text originally composed in Prakrit by a Digambara monk, Sarvanandi, surviving in a later Sanskrit translation by one Siṃhasūri. It the oldest known Indian source to use zero as number. Surviving manuscripts of the Lokavibhāga are listed in v.26 of the New Catalogus Catalogorum. Parts of the Bakhshali Manuscript on arithmetic, which does use a physically written symbol for zero, have been carbon-dated, but the results of this dating are puzzling and are still being debated. The printed edition of the Lokavibhāga states that the original Prakrit work was composed by Sarvanandin at Patalika in the Banarastra on a certain day the astronomical details of which are given. These correspond to 458 CE. The surviving text is a Sanskrit translation of Sarvanandin's work by one Simhasūri, made "some considerable time" after that date of Sarvanandin. (en)
- Le Lokavibhâga est un traité de cosmologie jaïn du Ve siècle connu pour son utilisation du zéro dans l'énonciation positionnelle des nombres.Il témoigne de l'usage des symboles numériques sanskrits par les lettrés indiens avant même l'époque d'Aryabhata.Le texte emploie en particulier le mot shunya (vide) ainsi que les mots gagana et ambara (ciel) pour désigner le zéro dans l'écriture des nombres. Les ascètes jaïns étaient amenés à faire d'énormes calculs. En effet, la philosophie jaïne qui conçoit l'univers comme infini, sans début ni fin, conduit à des recherches poussées sur les concepts d'espace, de temps et de matière ; les mathématiciens jaïns distinguent par exemple cinq catégories d'infini.Sarvanandi, l'auteur du Lokavibhâga, est un moine jaïn de tradition Digambara. Le titre Lokavibhâga signifie « Parties de l'univers ». Rédigé en prâkrit, à Patalika — une ville sans doute proche de la Yamuna —, le texte porte une date précise correspondant au 25 août 458 du calendrier julien, mais il ne nous est parvenu que dans une traduction ultérieure en sanskrit due à un autre moine jaïn appelé Siṃhasūri. (fr)
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