Yativṛṣabha
Yativṛṣabha, also known as Jadivasaha, was a mathematician and Jain monk.Yativrsabha gave a description of the universe which is of historical importance in understanding Jaina science and mathematics.
Born: 500 AD India
Died: 570 AD India
He is believed to have lived during the 6th century, probably during 500–570. He studied under Arya Manksu and Nagahastin. He lived and worked between the periods of two great Indian mathematicians, Aryabhata and Brahmagupta.
He compiled many works in Prakrit expounding Jain traditions. One of these, the Tiloyapannatti — a description of the universe and its parts, is of some importance to historians of Indian science because it incorporates formulas representative of developments in Jain mathematics between the older canonical works and the later texts of the ninth and following centuries. He wrote the book named Tiloyapannatti which describes cosmology from the point of view of Jain religion and philosophy. “The work also gives various units for measuring distances and time.” Tiloya Panatti postulated different concepts about infinity. His work also describes the construction of the Universe expressed in specific numbers; for example, the diameter of the circular Jambu continent, upon which India is located, is 100,000 yojanas and its circumference is 316,227 yojanas, 3 krośas, 128 daṇḍas, 13 aṅgulas, 5 yavas, 1 yūkā, 1 ṛikṣā, 6 karmabhūmivālagras, 7 madhyabhogabhūmivālagras, 5 uttamabhogabhūmivālagras, 1 rathareṇu, 3 trasareṇus, 2 sannāsannas, and 3 avasannāsannas, plus a remainder of 23213/105409
In the Jaina School, two systems have been developed on profound basis of mathematics. One is the Karma system and the other is the cosmological system. Yativrsabha is credited with compilation of both the system theories. The Karma system theory is known to be in pulverised verses from the Kasaya Pahuda of Gunadharacarya (c. Ist century A.D.) containing 233 verses. The pulverised verses are about 7009 in number, said to be very profound and having endless implications. The cosmological system theory, on the other hand, contains 5677 verses and called the Tiloyapannatti. The Kasaya Pahuda deals with biophysical phenomena in nature between the relation of bios and matter, describing the circumstances and conditions or controls, which enable certain bios to get their Karmic bond annihilated. As this phenomena is so complicated that the mathematics required for its depiction was modelled as a post universal measure system, the foundations of which are found to have been laid in the Tiloyapannatti.
Thus the Tiloyapannatti, measuring information about the three universes, is classified in the Karnanuyoga group of texts in which mathematical operations aid to their study.
Credit for some more works like Kammapavadi Curni, Sataka Vurni, Sittari Curnin and Karana Sutra is given to Yativrsabha but none of it is available at present.The mathematical contributions of Yativrsabha on the following points.
1. Measurement System
2. Number System
3. Symbolism
4. Geometry
5. Solid Geometry
6. Series
7. Logarithms
The following characterstics of Yativrsabha have been stated by N.C. Shsatri.
1.Yativrsabha had the knowledge of eight Karma Pravada.
2.From authority of Nandisutra, he could be established to have the knowledge of Karma Prakrti as well.
3.He was a disciple of the Aryamanksu and Nagahasti.
4.He was not only a spiritual ascetic but also a great scholar.
5.There are difference of opinion between Bhutabali and Yarivrsabha which is clear from the study of Dhavala and Jayadhavala.
6.Yativrsabha is as great as Bhutabali in view of the greatness of their personality. Their opinions are recognised universally.
7.Yativrsabha has reflected the maxim style (paddhati) in his Curni maxims.
8.The Curni maxims have been composed for the assimilation of traditionally prevalent knowledge.
9.Yativrsabha had the knowledge of Agama. Yet he achieved all the learning of prevalent teaching style in all traditions and made use of his fine talents in composing Curni Sutras.
Yativṛṣabha
Date of Birth: 21 Nov 2024
Birth Place: 500 AD India
Proffession: mathematician
Nationality: India
Death: 570 AD India