SearchBrowseAboutContactDonate
Page Preview
Page 22
Loading...
Download File
Download File
Page Text
________________ furnished in the commentaries of the Gommaṭasāra and the Labdhisāra through C++ language. Let us have a look at the mathematical material in these texts which could be helpful in computerisation. The simile and number measures (upamā and samkhyā pramāna) are finite and transfinite cardinals and ordinals of various types of sets (rāsis). There are fourteen types of sequences (dhārās) in the Trilokasara" which locate several types of sets and their measures. Every topic in the karma theory deals with the minimum (jaghanya) and the maximum (utkrstṛṣṭa) fixing the domains and ranges between which the computer is to work. The eight operations called the parikarmāṣṭaka not only deal with the finite quantities but also transfinite quantities as well as the fixed and variable sets. The trikona yantra (triangular matrix) can be given several programmes for the variability of the measures of the mass number (pradesas), configurations (prakrtis), energy levels (anubhāgas) and the lifetimes (sthitis) of the karma ultimate particles (paramāņus). The Labdhisara depicts these variations in a symbolic way of mathematics. 10 The equations and inequality relations given in this way may pave the way to a more complex manipulation of the problems posed in the modern set-up of the karmic data. Before we give the measurable terms it will not be out of place to suggest that the vast mathematical data could be arranged in a computer file in a graded manner. From the lowest value we go to the largest value in a certain programme and these could be coded in one of the computer's high level languages such as Fortran, Mathematica or C++. The controllable and observable situations are defined in terms of the control (guna) and reachable (mārgaṇā) stations (sthānas). Thus the computer could be helpful in showing the time-dependent and timeindependent phenomenology of the karma theory of the Prakrit texts referred to above. We now relate only the terms of the Prakrit texts which denote a measure which could be calculated to give a rough or fine gradation or topology. One should note that a variable measure is given in an algebraic way, set theoretic in approach. Its measure is therefore given between its minimum and maximum values and talents are required to approach a proper and suitable value. This could be approximate also as is found in several places of the Labdhisara or the Suryaprajñapti, Tiloyapanṇatti or the texts of the Gaṇitanuyoga. Surely, this is based on probability. Datta had collected some terms and he tried to give their interpretation admitting that his attempt was premature. 11 The Dharvalā Jain Education International 20 For Private & Personal Use Only www.jainelibrary.org
SR No.524019
Book TitleJinamanjari 1999 04 No 19
Original Sutra AuthorN/A
AuthorJinamanjari
PublisherCanada Bramhi Jain Society Publication
Publication Year1999
Total Pages88
LanguageEnglish
ClassificationMagazine, Canada_Jinamanjari, & Canada
File Size5 MB
Copyright © Jain Education International. All rights reserved. | Privacy Policy