Kātyāyana
{{Short description|Sanskrit grammarian, mathematician and Vedic priest}}
{{For|the Buddhist monk|Katyayana (Buddhist)}}
{{Citations missing|article|date=January 2008}}
{{Infobox scholar
| image =
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| name = Kātyāyana
| birth_date = est. 3rd century BCE
| birth_place = Deccan, Southern India
| death_date =
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| era = Vedic period
| main_interests = Sanskrit grammarian, mathematician and Vedic priest
| notable_ideas =
| major_works = Vārttikakāra, Vyākarana, later Śulbasūtras
| influences =
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}}
Kātyāyana (कात्यायन) also spelled as Katyayana ({{Circa|3rd}} century BCE){{Cite web|last=www.wisdomlib.org|date=2013-06-05|title=Katyayana, Kātyāyana: 24 definitions|url=https://www.wisdomlib.org/definition/katyayana|access-date=2021-11-20|website=www.wisdomlib.org|language=en|archive-date=2020-08-13|archive-url=https://web.archive.org/web/20200813024042/https://www.wisdomlib.org/definition/katyayana|url-status=live}}{{Cite web|title=Approximate Chronology of Indian Philosophers|url=https://plato.stanford.edu/entries/language-india/chronology.html|access-date=2022-02-21|website=Stanford Encyclopedia of Philosophy|archive-date=2011-10-17|archive-url=https://web.archive.org/web/20111017084723/https://plato.stanford.edu/entries/language-india/chronology.html|url-status=live}}{{Cite web|title=Kātyāyana|url=https://www.oxfordreference.com/view/10.1093/oi/authority.20110803100031292|access-date=2022-02-21|website=Oxford Reference|language=en|archive-date=2022-03-09|archive-url=https://web.archive.org/web/20220309023029/https://www.oxfordreference.com/view/10.1093/oi/authority.20110803100031292|url-status=live}} was a Sanskrit grammarian, mathematician and Vedic priest who lived in ancient India.
Origins
According to some legends{{fact|date=May 2022}}, he was born in the Katya lineage originating from Vishwamitra, thus{{fact|date=May 2022}} called Katyayana.
The Kathāsaritsāgara mentions Kātyāyana as another name of Vararuci, a re-incarnation of Lord Shiva's gana or follower Pushpadanta. The story also mentions him learning grammar from Shiva's son Kartikeya which is corroborated in the Garuda Purana where Kartikeya (also called Kumara) teaches Katyayana the rules of grammar in a way that it could be understood even by children.{{Cite web|url=https://www.hinduscriptures.in/scriptures/puranas-18-puranas-mahapurana/garud-puran/garuda-vol-2/chapter-01/topic-101|title=Topic 101|access-date=2019-07-31|archive-date=2019-07-31|archive-url=https://web.archive.org/web/20190731064428/https://www.hinduscriptures.in/scriptures/puranas-18-puranas-mahapurana/garud-puran/garuda-vol-2/chapter-01/topic-101|url-status=live}} It may be that his full name was in fact Vararuci Kātyāyana.{{Cite book|first=Moriz|last=Winternitz|title=Geschichte der indischen Literatur. Bd. 3: Die Kunstdichtung. Die wissenschaftliche Litteratur. Neuindische Litteratur. Nachträge zu allen drei Bänden|publisher=Amelang|place=Leipzig|year=1920|page=391}}
Relation to Goddess Katyayini
In texts like Kalika Purana, it is mentioned that he worshipped Mother Goddess to be born as his daughter hence she came to be known as Katyayani or the "daughter of Katyayan" who is worshipped on the sixth day of Navratri festival.{{Cite web |url=http://www.durga-puja.org/different-forms-of-durga.html |title=Forms of Durga |access-date=2019-07-17 |archive-date=2022-12-15 |archive-url=https://web.archive.org/web/20221215153933/http://www.durga-puja.org/different-forms-of-durga.html |url-status=live }} According to the Vamana Purana once the gods had gathered together to discuss the atrocities of the demon Mahishasura and their anger manifested itself in the form of energy rays. The rays crystallized in the hermitage of Kātyāyana Rishi, who gave it proper form therefore she is also called Katyayani. {{Cite web|url=https://www.hinduscriptures.in/scriptures/puranas-18-puranas-mahapurana/vamana-purana/chapter-18/topic-1|title=Topic 1|access-date=2019-07-31|archive-date=2019-07-31|archive-url=https://web.archive.org/web/20190731063842/https://www.hinduscriptures.in/scriptures/puranas-18-puranas-mahapurana/vamana-purana/chapter-18/topic-1|url-status=live}}
Works
He is known for two works:
- The Vārttikakāra, an elaboration on Pāṇini grammar. Along with the Mahābhāṣya of Patañjali, this text became a core part of the Vyākaraṇa (grammar) canon. This was one of the six Vedangas, and constituted compulsory education for students in the following twelve centuries.
- He also composed one of the later Śulbasūtras, a series of nine texts on the geometry of altar constructions, dealing with rectangles, right-sided triangles, rhombuses, etc.Joseph (2000), p. 328
Views
Kātyāyana's views on the sentence-meaning connection tended towards naturalism. Kātyāyana believed, that the word-meaning relationship was not a result of human convention. For Kātyāyana, word-meaning relations were siddha, given to us, eternal. Though the object a word is referring to is non-eternal, the substance of its meaning, like a lump of gold used to make different ornaments, remains undistorted, and is therefore permanent.{{fact|date=May 2022}}
Realizing that each word represented a categorization, he came up with the following conundrum (following Bimal Krishna Matilal):
:"If the 'basis' for the use of the word 'cow' is cowhood (a universal) what would be the 'basis' for the use of the word 'cowhood'{{fact|date=May 2022}}?
Clearly, this leads to infinite regress. Kātyāyana's solution to this was to restrict the universal category to that of the word itself — the basis for the use of any word is to be the very same word-universal itself."
This view may have been the nucleus of the Sphoṭa doctrine enunciated by Bhartṛhari in the 5th century, in which he elaborates
the word-universal as the superposition of two structures — the meaning-universal or the semantic structure (artha-jāti)
is superposed on the sound-universal or the phonological structure (śabda-jāti).
In the tradition of scholars like Pingala, Kātyāyana was also interested in mathematics. Here his text on the sulvasutras dealt with geometry, and extended the treatment of the Pythagorean theorem as first presented in 800 BCE by Baudhayana.Pingree (1981), p. 6
Kātyāyana belonged to the Aindra School of Grammar{{fact|date=May 2022}}.
Notes
{{Reflist|colwidth=30em}}
References
- Joseph, George Gheverguese: The Crest of the Peacock: Non-European Roots of Mathematics
- Pingree, David. [https://books.google.com/books?id=1FuKGFu0rAEC Jyotihsastra: Astral and Mathematical Literature]. Otto Harrassowitz. Wiesbaden, 1981. {{ISBN|3-447-02165-9}}.
External links
- {{MacTutor Biography|id=Katyayana}}
{{Indian mathematics}}
{{Indian Philosophy}}
{{Authority control}}
{{DEFAULTSORT:Katyayana}}
Category:Ancient Sanskrit grammarians
Category:Ancient Indian mathematicians
Category:3rd-century BC writers
Category:Indian Sanskrit scholars
Category:2nd-century BC mathematicians
Category:Ancient Indian mathematical works