Jain Journal 1978 10

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

Page 8

OCTOBER, 1978
in Kannada by Kesava Varni have been mentioned. However the available one is the combined Sanskrit from the both in separate forms by Nemicandra, disciple of Jnanabhusana. Todaramala compiled on the above basis his Samyakjñānacandrikā commentary in Dhundhari, consisting of about 50000 sentences.
2.
Preface to the System-Theoretic Technique
The present authors has already contributed two introductory papers on the mathematical system theory in Prakrit texts. The system theory is based on the set-theoretic approach on which he has also contributed three papers. The set theoretic approach, however requires to be supplemented with the logical foundations of the set theory embedded in the Dhavală commentary. Thus before the development of the sysmbolic expressions for the system-theoretic measures, the logical approaches to the semantic technique of expressing the measures need description. Only the important material in this regard is proposed to be exposed here from the Dhavala texts.
5.(a) Jain, L. C., Mathematical Foundations of Jaina Karma System' published in Bhagavan Mahavira and his Relevance in Modern Times, Bikaner, 1976, p. 132.50 (Symposium).
(b) Jain, L. C., “System Theory in Jaina School of Mathematics', manuscript sent for publication.
6.(a) Jain, L. C., 'Set Theory in Jaina School of Mathematics', 1. J. H. S., Vol. 8 Nos. 1 & 2, 1973, pp. 1-27.
(b) Jain, L.C., 'On Certain Topics of the Dhavala Texts', 1.J.H.S., Vol. 11 No. 2, 1976, pp. 85-111.
(c) Jain, L. C., 'Divergent Sequences locating Transfinite Sets in Trilokasara', I.J.H.S., Vol. 12. No. 1, 1977, pp. 57-75.
7. The logical foundations of the Jaina school has been laid in the following verses of Umasvati :
nāmasthāpanā dravya bhāva tastannyāşah 5 pramāna nayairadhigamah 6 nirdesasvāmitvasādhanādhikaranasthiti vidhānatah 7
satsamkhyākşetrasparśana kālāntara bhāvālpabahutvaiśca 8 Cf.(a) Reality, Eng. Trans. of Sarvarthasidhi of Pujyapada by S.A. Jain, Calcutta, 1960, pp. 8-15 (Tattvarthasutra, ch. I). The logical approach adopted by Yativrsabha is as follows:
ņāņāppavādassa puvvassa dasamassa vatthussa tadiyassa pāhudassa pañcaviho uvakkamo tam jahā āņupuvvi ņāmam pamāņam vattavvadā atthahiyāro cedi 2 Cf. 1(a), p. 2, the nikṣepas 7 and nayas are described in pp. 16-40.