Early Jaina Cosmology, Soteriology, and Theory of Numbers in the Aṇuogaddārāiṃ an Interpretation

Journal of Indian Philosophy 45 (2):235-255 (2017)
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Abstract

This paper investigates mathematical ideas found in a Jaina non-mathematical text, by which I mean a work not dedicated to mathematics as a separate scholarly discipline. The Aṇuogaddārāiṃ, a Prakrit text from the Śvetāmbara Āgamas, explains the methods a Jaina monk should use in investigating a scriptural text. This work shows a remarkable ability to deal with numerical concepts and quantitative descriptions of all kinds. I shall often compare its mathematical content with texts from different Sanskrit bodies of knowledge. This paper demonstrates that the Aṇuogaddārāiṃ, as well as presenting a wealth of mathematical information, expounds a Jaina theory of numbers that has been so far disregarded by historiography. In order to understand this formulation, I shall propose an analytical-interpretative model to then improve the English translation by Hanaki 1970. In Jainism, the knowledge of the true nature of the universe was a requisite to progressing towards a full awareness of the human condition and hence towards the path of liberation. Numerical data and detailed calculations provide minute descriptions of the universe and matters related to karma and liberation. I shall argue that the Aṇuogaddārāiṃ testifies that mathematics was a perfect, functional instrument for representing Jaina cosmological and soteriological models.

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