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ON PRASTARA AND NUMBER OF S'RUTAJNANAKSARA OF NEMICANDRA
(1) Prastara:
The Jaina saint, philosopher and mathematician Acaraya Sri Nemicandra Siddharthcakravarti of tenth century has given the five combinatorial terms in Gommatasara (Jivakanda) viz. Samkhya, Prastara, Parivartana, Nasta and Uddista. In his view Prastara is of two types.
Here our efforts are to illustrate that Prastara is the complete device to do the carfesion product of sets. Let us suppose that A, B and C are candra's view set represents itself axis'. sets are in order i.e. the ordinal number second and third respectively.
A=(a1, a2)
B=(b1, b2, b3)
and C (c1, c2)
(1.1) First Prastara :
Dipak Jadhav Anupam Jain
ordered sets. In NemiThat's why we also say that of A, B and C are first,
पढमं पमदपमांणं कमेण णिक्खिविय उवरिमाणं च ।
पिडं पडि एक्केकं, णिक्खित होदि पत्थारो ॥
This Gatha, in particular, says that Prastara is to place respectively each one of the elements of the first Pramades and then cover each of these with each one of the elements of the succeeding ones.
This Gatha, in general, says that (First) Prastara is to place respectively each one of the elements of the first set and then cover each one of these with the second set. Again cover each one of the tuples of the set just obtained which is already placed with the third set. Do their process till the last set.
Example:
Jain Education International
Place respectively each one of the elements of A.
al, a2
cover each of these with B.
alb a2b
Tulsi-Prajña, Ladnun: Vol. 23 No. 3
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