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The Jaina Ulterior Motive of Mthematical Philosophy
Prof. L. C. Jain
And Shri C. K. Jain
"WHEN ACTUAL OBJECTS ARE COUNTED, OR WHEN GEOMETRY AND DYNAMICS ARE APPLIED 10 ACTUAL SPACE OR ACTUAL MATTER, OR WHEN, IN ANY OTHER WAY, MATHEMATICAL REASONING IS APPLIED TO WHAT EXISTS, THE REASONING EMPLOYED HAS A FORM NOT DEPENDENT UPON THE OBJECTS TO WHICH IT IS APPLIED BEING JUST THOSE OBJECIS THAT THEY ARE, BUT ONLY UPON THEIR HAVING CERTAIN GENERAL PROPERTIES."
- Bertrand Russell,
'The Principles of Mathematics' London, 1956, xvii.
1. INTRODUCTION
Mathematics, today, stands as a science which is in some sense a single connected whole. Philosophy (Gr. philein, to love-sophia, wisdom) stands both for seeking of wisdom and the wisdom sought. According to Aristotle, Philosophy is the science which considers truth. Now it means that Mathematical Philosophy is a science of sciences.
The Jaina philosophy, essentially a philosophy of Karma (action) phenomena in nature, sought the solutions and exposition through mathematical manoeuvres. Various research papers have appeared on the mathematical contents and aspects of the Jaina philosophy.
1. (a) Datta, B. B., The Jaina School of Mathematics, B. C. M. S., 21, (1929), 115-145.
(b) Datta, B. B., Mathematics of Nemicandra, Jaina Antiquary, I, no ii, (1935), 25-44. (c) Singh, A. N., Mathematics of Dhavalā-I, Şatkhaņdāgama, book iv, Amaraoti, (1942), v-xxi. (d) Singh, A. N., History of Mathematics in India from Jaina Sources, The Jaina Antiquary, 15.
no. ii (1949), 46-53; and 16, no. ii (1950), 54-69, Arrah. (e) Roy, D. M., The Culture of Mathematics among the Jainas of Southern India, etc., Annals of the
B.O.R.I., Poona, 8, (1926-27), 145-157. (f) Smith, D. E., The Ganita Sāra Samgraha of Mahāvīrācārya, B. M. (Leipzig), 3, 9 (1908-09),
106-110. (g) Jain, B. S., On the Ganita Sāra Samgraha of Mahävira (c. 850 A. D.) I. J. H. S., 12, no. 1.
(1977), 17-32 (h) Jajn, L. C., Tiloyapannatti Kā Ganita, JGM, Sholapur, 1958, 1-109. (i) Jain, LC, GSS of Mahävirācārya, Sholapur (1963). (j) Jaina, L. C., On the Jaina School of Mathematics, C. L. Smriti Grantha, Calcutta, (1967),
265-292 (eng. Sec.).
जैन प्राच्य विद्याएं
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