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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
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Geschichte der indischen
Literatur. Bd. 3: Die Kunstdichtung. Die wissenschaftliche Litteratur. Neuindische Litteratur. Nachträge zu allen drei Bänden
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Clearly, this leads to infinite regress. Kātyāyana's solution to this was to restrict the universal category to that of the word itself — the
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in the 5th century, in which he elaborates the word-universal as the superposition of two structures — the meaning-universal or the
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and their anger manifested itself in the form of energy rays. The rays crystallized in the hermitage of Kātyāyana
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Realizing that each word represented a categorization, he came up with the following conundrum (following
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According to some legends, he was born in the Katya lineage originating from
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once the gods had gathered together to discuss the atrocities of the demon
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for the use of any word is to be the very same word-universal itself."
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or the "daughter of
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Shanti Swarup
Bhatnagar Prize recipients in Mathematical Science
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The Crest of the
Peacock: Non-European Roots of Mathematics
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Infinite series expansions for the trigonometric functions
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Ramanujan
Institute for Advanced Study in Mathematics
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27:
Sanskrit grammarian, mathematician and Vedic priest
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399:"If the 'basis' for the use of the word 'cow' is
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687:Jyotihsastra: Astral and Mathematical Literature
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511:"Approximate Chronology of Indian Philosophers"
430:) is superposed on the sound-universal or the
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1274:Kerala school of astronomy and mathematics
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127:Learn how and when to remove this message
1502:Homi Bhabha Centre for Science Education
720:MacTutor History of Mathematics Archive
353:, this text became a core part of the
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690:. Otto Harrassowitz. Wiesbaden, 1981.
482:"Katyayana, Kātyāyana: 24 definitions"
269:mentions Kātyāyana as another name of
227:(कात्यायन) also spelled as Katyayana (
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449:, and extended the treatment of the
65:adding citations to reliable sources
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1027:Subbayya Sivasankaranarayana Pillai
515:Stanford Encyclopedia of Philosophy
24:
1487:Institute of Mathematical Sciences
441:In the tradition of scholars like
370:He also composed one of the later
363:) canon. This was one of the six
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2798:Ancient Indian mathematical works
1497:Harish-Chandra Research Institute
1007:K. R. Parthasarathy (probabilist)
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453:as first presented in 800 BCE by
597:. Leipzig: Amelang. p. 391.
480:www.wisdomlib.org (2013-06-05).
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521:from the original on 2011-10-17
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52:needs additional citations for
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293:Relation to Goddess Katyayini
281:which is corroborated in the
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2773:Ancient Sanskrit grammarians
1472:Indian Statistical Institute
678:Joseph, George Gheverguese:
7:
1492:Indian Institute of Science
1477:Bhaskaracharya Pratishthana
1355:A. A. Krishnaswamy Ayyangar
1320:Shankar Balakrishna Dikshit
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329:He is known for two works:
309:festival. According to the
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30:For the Buddhist monk, see
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343:grammar. Along with the
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2002:Samkhyapravachana Sutra
886:Mādhava of Saṅgamagrāma
418:doctrine enunciated by
1738:Early Buddhist schools
2783:3rd-century BC people
1097:Brāhmasphuṭasiddhānta
657:Joseph (2000), p. 328
393:Bimal Krishna Matilal
2176:Brihadratha Ikshvaku
2013:Sarvadarsanasangraha
1790:Acintya bheda abheda
1373:T. A. Saraswati Amma
1084:Bakhshali manuscript
1052:Kannan Soundararajan
711:Robertson, Edmund F.
666:Pingree (1981), p. 6
339:, an elaboration on
152:est. 3rd century BCE
61:improve this article
32:Katyayana (Buddhist)
2236:Dayananda Saraswati
1810:Nimbarka Sampradaya
1734:Buddhist philosophy
1449:Islamic mathematics
1408:Walter Eugene Clark
1202:Vasishtha Siddhanta
1174:Siddhānta Shiromani
1153:Paitamaha Siddhanta
1032:Tilak Raj Prabhakar
977:Satyendra Nath Bose
972:Srinivasa Ramanujan
926:Nilakantha Somayaji
709:O'Connor, John J.;
451:Pythagorean theorem
236:Sanskrit grammarian
234:century BCE) was a
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283:Garuda Purana
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248:ancient India
246:who lived in
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240:mathematician
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205:Notable works
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78: –
77:
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72:Find sources:
66:
62:
56:
55:
50:This article
48:
44:
39:
38:
33:
19:
2687:Iccha-mrityu
2652:Satkaryavada
2552:Nididhyasana
2537:Matsya Nyaya
2271:Madhvacharya
2101:Adi Shankara
2094:Philosophers
2077:
2070:
2053:
2034:
2027:
2018:Shiva Sutras
2008:Sangam texts
2000:
1993:
1984:Nyāya Sūtras
1964:
1957:
1940:
1930:Brahma Sutra
1929:
1921:
1914:
1909:Arthashastra
1907:
1900:
1842:Pratyabhijna
1722:Anekantavada
1465:institutions
1385:K. S. Shukla
1357:(1892– 1953)
1223:Yavanajataka
1221:
1214:
1207:
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1193:
1186:
1181:Śulba Sūtras
1179:
1172:
1167:Sadratnamala
1165:
1158:
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1144:
1137:
1130:
1123:
1116:
1111:Kanakkusaram
1109:
1102:
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946:Varāhamihira
911:Parameshvara
866:Govindasvāmi
836:Āryabhaṭa II
794:
718:
686:
662:
653:
642:. Retrieved
628:
617:. Retrieved
603:
594:
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577:. Retrieved
563:
552:. Retrieved
543:
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523:. Retrieved
514:
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494:. Retrieved
485:
475:
459:
440:
435:
432:phonological
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336:Vārttikakāra
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296:
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257:
244:Vedic priest
224:
223:
209:Vārttikakāra
180:Vedic period
123:
117:January 2008
114:
104:
97:
90:
83:
71:
59:Please help
54:verification
51:
2732:Vivartavada
2622:Rājamaṇḍala
2577:Paramananda
2377:Apauruṣheyā
2372:Anupalabdhi
2231:Vivekananda
2196:Dharmakirti
2156:Buddhaghosa
2146:Yājñavalkya
1953:Jain Agamas
1948:Hindu texts
1827:Navya-Nyāya
1763:Svatantrika
1758:Sautrāntika
1647:Vaisheshika
1401:Translators
1393:(1919–2005)
1391:K. V. Sarma
1387:(1918–2007)
1381:(1918–1992)
1375:(1918–2000)
1369:(1903–1978)
1363:(1901–1954)
1361:A. N. Singh
1346:(1888–1958)
1344:B. B. Datta
1340:(1876–1962)
1334:(1861–1916)
1328:(1855–1910)
1322:(1853–1898)
1316:(1821–1900)
1307:mathematics
1251:Symbol for
1235:innovations
1132:Lokavibhaga
1078:Aryabhatiya
876:Jyeṣṭhadeva
861:Brahmagupta
846:Bhāskara II
831:Āryabhaṭa I
815:Yajnavalkya
715:"Kātyāyana"
569:"Topic 101"
540:"Kātyāyana"
434:structure (
426:structure (
372:Śulbasūtras
315:Mahishasura
260:Vishwamitra
213:Śulbasūtras
76:"Kātyāyana"
2767:Categories
2682:Svātantrya
2572:Paramatman
2527:Kshetrajna
2502:Ishvaratva
2442:Cittabhumi
2437:Chidabhasa
2387:Asiddhatva
2307:Abhasavada
2281:Guru Nanak
2216:Vasubandhu
2042:Upanishads
2036:Tirukkuṟaḷ
1995:Panchadasi
1800:Bhedabheda
1748:Madhyamaka
1588:Monotheism
1350:T. Hayashi
1233:Pioneering
1216:Yuktibhāṣā
1139:Pātīgaṇita
1090:Bijaganita
1047:Ravi Vakil
901:Munishvara
881:Kamalakara
856:Brahmadeva
841:Bhāskara I
790:Baudhayana
673:References
644:2019-07-31
619:2019-07-17
579:2019-07-31
554:2022-02-21
525:2022-02-21
496:2021-11-20
455:Baudhayana
436:śabda-jāti
428:artha-jāti
420:Bhartṛhari
346:Mahābhāṣya
232: 3rd
87:newspapers
2542:Mithyatva
2432:Chaitanya
2427:Catuṣkoṭi
2392:Asatkalpa
2367:Anavastha
2342:Aishvarya
2261:Sakayanya
2256:Sadananda
2221:Gaudapada
2206:Nagarjuna
2161:Patañjali
1977:Principal
1959:Kamasutra
1753:Yogachara
1672:Raseśvara
1379:S. N. Sen
1287:New Delhi
1209:Veṇvāroha
1070:Treatises
871:Halayudha
824:Classical
795:Katyayana
785:Apastamba
634:"Topic 1"
356:Vyākaraṇa
351:Patañjali
303:Katyayani
287:Kartikeya
279:Kartikeya
225:Kātyāyana
143:Kātyāyana
18:Katyayana
2707:Tanmatra
2702:Tajjalan
2692:Syādvāda
2592:Pradhana
2567:Padārtha
2532:Lakshana
2477:Ekagrata
2322:Adrishta
2317:Adarsana
2295:Concepts
2276:Mahavira
2241:Ramanuja
2191:Chanakya
2126:Avatsara
2121:Valluvar
2061:Vedangas
1875:Gandhism
1778:Medieval
1727:Syādvāda
1712:Charvaka
1684:Pāṇiniya
1578:Idealism
1295:Varanasi
1253:zero (0)
1125:Līlāvatī
992:C.R. Rao
956:Virasena
936:Sridhara
906:Narayana
891:Mahāvīra
638:Archived
613:Archived
573:Archived
548:Archived
519:Archived
490:Archived
447:geometry
424:semantic
365:Vedangas
307:Navratri
271:Vararuci
2752:More...
2722:Upekkhā
2717:Uparati
2697:Taijasa
2672:Śūnyatā
2642:Saṃsāra
2637:Samadhi
2602:Prakṛti
2557:Nirvāṇa
2507:Jivatva
2497:Ikshana
2452:Devatas
2422:Bhumika
2412:Brahman
2402:Avyakta
2347:Akrodha
2327:Advaita
2286:More...
2181:Jaimini
2085:More...
1795:Advaita
1785:Vedanta
1743:Śūnyatā
1702:Ājīvika
1694:Nāstika
1662:Vedanta
1657:Mīmāṃsā
1637:Samkhya
1617:Ancient
1573:Atomism
1568:Atheism
1434:Babylon
1267:Centres
931:Śrīpati
810:Pingala
778:Ancient
443:Pingala
401:cowhood
361:grammar
254:Origins
101:scholar
2727:Utsaha
2677:Sutram
2667:Sthiti
2662:Sphoṭa
2632:Sakshi
2617:Puruṣa
2597:Prajna
2562:Niyama
2522:Kasaya
2467:Dravya
2457:Dharma
2417:Bhuman
2407:Bhrama
2362:Ananta
2357:Anatta
2352:Aksara
2337:Ahimsa
2312:Abheda
2302:Abhava
2251:Raikva
2171:Kapila
2166:Kanada
1863:Modern
1837:Shaiva
1805:Dvaita
1707:Ajñana
1667:Shaiva
1625:Āstika
1608:Moksha
1561:Topics
1463:Modern
1454:Europe
1444:Greece
1291:Ujjain
1283:Jaipur
965:Modern
805:Pāṇini
800:Manava
694:
416:Sphoṭa
386:siddha
341:Pāṇini
285:where
200:priest
156:Deccan
103:
96:
89:
82:
74:
2742:Yamas
2737:Viraj
2712:Tyāga
2647:Satya
2547:Mokṣa
2517:Karma
2472:Dhrti
2397:Ātman
2382:Artha
2186:Vyasa
2066:Vedas
2047:Minor
1894:Texts
1642:Nyaya
1633:Hindu
1603:Artha
1583:Logic
1439:China
468:Notes
409:basis
379:Views
325:Works
319:Rishi
275:Shiva
198:Vedic
108:JSTOR
94:books
2747:Yoga
2512:Kama
2492:Idam
2487:Hitā
2482:Guṇa
2447:Dāna
2332:Aham
1736:and
1717:Jain
1652:Yoga
1598:Kama
1512:TIFR
692:ISBN
333:The
265:The
242:and
196:and
149:Born
80:news
2627:Ṛta
2462:Dhi
438:).
395:):
349:of
176:Era
63:by
2769::
1635::
1293:,
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717:,
713:,
636:.
611:.
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229:c.
192:,
158:,
1546:e
1539:t
1532:v
1297:)
1281:(
754:e
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359:(
130:)
124:(
119:)
115:(
105:·
98:·
91:·
84:·
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34:.
20:)
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