Jaina Ulterior Motive of Mathematical Philosophy

Author(s): L C Jain, C K Jain
Publisher: Z_Deshbhushanji_Maharaj_Abhinandan_Granth_012045.pdf

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causality ? The Jaina answers that it is the perception of the concommittance in agreement and difference ... The Jaina takes the observance of concommittance in agreement and in difference to be one observation. ... The Jaina posits a twofold cause for the perception of universal relation-an internal and an external condition ..." Samantabhadra asserts, "Yadvastu bahyam gunadosa sute-roimitta mabhyantaramula hetuh, adbyatmavittasya tadangabhuvta---mabhyantaram kevalamapyalam te." The absolute time scale in Jaipology is governed by the concept of the indivisible instant interval postulate, and it seems to have caused the above understanding of reality, pluraliiy, and multiforms as well as infinitely diversified aspects of the aniversal omniscience which comprises of many comparable infinities of Karmic and other structural and functional equations of natural phenomena in individual and statistical details, of the unified system theory of bios and matter as well as of other fluents. Mahalanobis commented upon the probability implication of the Syadvada system through the example of a coin, whereas the indeterminate type of implication of the system has been put forth by Haldane in the quantitative aspect of the indeterminate solutions of equations under enquiry. He says that solutions like square root of minus one are non-assertorial so far as imaginary numbers are not taken into being (as was asserted by Mahaviracarya in the ninth century). This aspect leads to the many truth values logical system of the Syadvada, which is without uncertainty. Existence without assertion are found in many mathematical situations, as existence of curves without tangents, or tangent to a circle from a point within a circle, or else expressibility of square root of two through decimals, or else also the existence of the principle of generation of infinite limit numbers postulated by Cantor, in technology as well, situations arise where circuits for the intermediary of yes and no contacts are indispensable for go ahead matters, and they are dealt with without assertorial commands, automatically. It thus seems that there are biological as well as material situations and events which go on automatically without assertorial cognizance, without being interrupted by silence, and it may be said that the bios-technology of the future will have to take into account such eventual contacts for reproducing types of machines having ingenious feed-back generators as well as annihillators. 6. CONCLUDING REMARKS Indeterminacy and uncertainty are two different aspects, and the former does not ensure the certainty of knowledge, although one may not be aware of that universe of its measure. The motive of the Jaina School, thus had an ulterior aspect, for a philosophical attitude with mathematical determinacy of an Einsteinian approach. The knowledge of the subsets of indivisible-curresponding-sections of all knowledge (Omniscience or Kevala Jnana), must have had a great bearing on the mathematico-philosophic pursuits of the School, and the challenge of several types of indeterminacy, paradoxes, contradictions, antinomies and fallacies might have been boldly faced in that ancient era of scientific awakening, in India. The Greeks, as it appears in history, paced back, and it was due to the unparalleled attempts and invincible struggle of George Cantor that he could introduce the theory of sets in spite of great opposition and introduction of several antinomies and paradoxes etc. The study into the foundation of Jaina mathematical philosophy, thus requires a revision of its symbolic material through a team of interdisciplinary scholars for the fact that the progress into the deeper investigations has suffered in the absence. 1. ibid., p. 190. 2. Vihadsvayambhustotra of Samantabhadra, v. 59. मन प्राच्य विद्याएं