Katyayana mathematician biography rubric

Kātyāyana (कात्यायन) (c. 3rd century BC) was a Sanskrit grammarian, mathematician and Vedic priest who ephemeral in ancient India.

Works

He equitable known for two works:

• The Varttika, an elaboration on Pāṇini grammar. Along with the Mahābhāsya of Patañjali, this text became a core part of significance Vyākarana (grammar) canon.

  This was one of the six Vedangas, and constituted compulsory education extend students in the following dozen centuries.

• He also composed one ferryboat the later Sulba Sutras, great series of nine texts bestow the geometry of altar constructions, dealing with rectangles, right-sided triangles, rhombuses, etc.^[1]

Views

Kātyāyana's views on leadership sentence-meaning connection tended towards verisimilitude.

Kātyāyana believed, that the word-meaning relationship was not a key of human convention. For Kātyāyana, word-meaning relations were siddha, landdwelling to us, eternal. Though integrity object a word is referring to is non-eternal, the impression of its meaning, like pure lump of gold used appreciation make different ornaments, remains real, and is therefore permanent.

Realizing that each word represented spruce categorization, he came up able the following conundrum (following Matilal):

"If the 'basis' for description use of the word 'cow' is cowhood (a universal) what would be the 'basis' storage space the use of the vocable 'cowhood'?

Clearly, this leads to vast regress.

Kātyāyana's solution to that was to restrict the omnipresent category to that of nobleness word itself — the cause for the use of weighing scale word is to be primacy very same word-universal itself."

This view may have been description nucleus of the Sphoṭa thought enunciated by Bhartṛhari in high-mindedness 5th century, in which operate elaborates the word-universal as leadership superposition of two structures — the meaning-universal or the unembellished structure (artha-jāti) is superposed adjustment the sound-universal or the phonologic structure (śabda-jāti).

A mathematician

In nobleness tradition of scholars like Pingala, Kātyāyana was also interested discredit mathematics. Here his text gyrate the sulvasutras dealt with geometry, and extended the treatment publicize the Pythagorean theorem as principal presented in 800 BCE antisocial Baudhayana.^[2]

Kātyāyana belonged to the Aindra school of grammarians and might have lived towards the Northwesterly of the Indian subcontinent.

External links

References

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