Jain Journal 1978 10

Author(s): Jain Bhawan Publication
Publisher: Jain Bhawan Publication

Page 19

JAIN JOURNAL
are shown in geometric figures and algebraic symbolism (vv. 283-302). In the operations of subsidence of affections are the maps corresponding to various phases at control stations (vv. 305-391).
4. System-Theoretic Method of the Samyak Iñānacandrikā
It was due to the credit, par excellence, of Todaramala of Jaipur that he diverted the studies of the karmic system-analysis into two streams. 40 One was in to the mathematical part, compiled as two Arthasamdęşti chapters of the Gommaļasāra and the Labdhisāra. This was meant for mathematicians. The other was in sentential details without any symbolism, whatsoever. This was meant for thereaders who would not be interested in the symbolic approach of the texts and its mathematical implications. However, it appears that even this attempt by Todaramala, could not get a following in the mathematical endeavour, even after two hundred years of the presence of his mathematical material as guiding chapters on symbolic measures. Actually these works needed a simultaneous pursuits of the mathematical handling as well as philosophical technology of a system-theoretic technique. This was a complex task which required an inter-disciplinary study as well as the tools of analysis which have been developed within a few decades. A part of these developments is the mathematical system theory.
There are three distinct advantages of the Todaramala's contributions 41 though they definitely require a modern mathematical frame now. The first advantage is the language, Dhundhari, easily accessible to the Hindi knowing world. The second is the production of tables of measures, etc., in distinct forms, topicwise, elaborating the new terms appearing at each step in the following tables as maps and so on. The third is the separation of the complete mathematical material in symbolic form which could be used for comparing operations, operators and transformed spaces and measures tabulated, at hand.
The number of verses are not marked in the Arthasamdrști. This is a disadvantage and the reader has to locate the verse, if he, desires a complete detail. From this point of view the Sanskrit commentaries are more useful, after he has gone through the work of Todaramala. The technical details in all the commentaries follow the same sequence as detailed in the previous pages.
40. Cf. Ibid. : Also S. Nakayama, The Decline of the Theory of the Classification of Learning, pp. 184-88. Cf. 2(b) as well.
41. Vid. Jain, L. C. 'Mathematical Contributions of Todaramala of Jaipur', The Jaina Antiquary, Vol. xxx, no 1, July 1977, pp. 10-22.