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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
377:, 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.
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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
Katyayan" who is worshipped on the sixth day 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
1496:
Ramanujan
Institute for Advanced Study in Mathematics
1241:
16:
Sanskrit grammarian, mathematician and Vedic priest
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388:"If the 'basis' for the use of the word 'cow' is
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676:Jyotihsastra: Astral and Mathematical Literature
281:
500:"Approximate Chronology of Indian Philosophers"
419:) is superposed on the sound-universal or the
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403:This view may have been the nucleus of the
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1263:Kerala school of astronomy and mathematics
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116:Learn how and when to remove this message
1491:Homi Bhabha Centre for Science Education
709:MacTutor History of Mathematics Archive
342:, this text became a core part of the
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679:. Otto Harrassowitz. Wiesbaden, 1981.
471:"Katyayana, Kātyāyana: 24 definitions"
258:mentions Kātyāyana as another name of
216:(कात्यायन) also spelled as Katyayana (
1541:
1515:
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438:, and extended the treatment of the
54:adding citations to reliable sources
25:
1016:Subbayya Sivasankaranarayana Pillai
504:Stanford Encyclopedia of Philosophy
13:
1476:Institute of Mathematical Sciences
430:In the tradition of scholars like
359:He also composed one of the later
352:) canon. This was one of the six
14:
2798:
2787:Ancient Indian mathematical works
1486:Harish-Chandra Research Institute
996:K. R. Parthasarathy (probabilist)
691:
442:as first presented in 800 BCE by
586:. Leipzig: Amelang. p. 391.
469:www.wisdomlib.org (2013-06-05).
30:
629:from the original on 2019-07-31
604:from the original on 2022-12-15
564:from the original on 2019-07-31
539:from the original on 2022-03-09
510:from the original on 2011-10-17
481:from the original on 2020-08-13
41:needs additional citations for
1874:Progressive utilization theory
1471:Chennai Mathematical Institute
840:Melpathur Narayana Bhattathiri
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2782:2nd-century BC mathematicians
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282:Relation to Goddess Katyayini
270:which is corroborated in the
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2762:Ancient Sanskrit grammarians
1461:Indian Statistical Institute
667:Joseph, George Gheverguese:
7:
1481:Indian Institute of Science
1466:Bhaskaracharya Pratishthana
1344:A. A. Krishnaswamy Ayyangar
1309:Shankar Balakrishna Dikshit
1236:Hindu–Arabic numeral system
318:He is known for two works:
298:festival. According to the
262:, a re-incarnation of Lord
19:For the Buddhist monk, see
10:
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976:Subrahmanyan Chandrasekhar
582:Winternitz, Moriz (1920).
449:Kātyāyana belonged to the
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1402:Henry Thomas Colebrooke
991:S. R. Srinivasa Varadhan
714:University of St Andrews
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451:Aindra School of Grammar
367:
332:grammar. Along with the
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1991:Samkhyapravachana Sutra
875:Mādhava of Saṅgamagrāma
407:doctrine enunciated by
1727:Early Buddhist schools
2772:3rd-century BC people
1086:Brāhmasphuṭasiddhānta
646:Joseph (2000), p. 328
382:Bimal Krishna Matilal
2165:Brihadratha Ikshvaku
2002:Sarvadarsanasangraha
1779:Acintya bheda abheda
1362:T. A. Saraswati Amma
1073:Bakhshali manuscript
1041:Kannan Soundararajan
700:Robertson, Edmund F.
655:Pingree (1981), p. 6
328:, an elaboration on
141:est. 3rd century BCE
50:improve this article
21:Katyayana (Buddhist)
2225:Dayananda Saraswati
1799:Nimbarka Sampradaya
1723:Buddhist philosophy
1438:Islamic mathematics
1397:Walter Eugene Clark
1191:Vasishtha Siddhanta
1163:Siddhānta Shiromani
1142:Paitamaha Siddhanta
1021:Tilak Raj Prabhakar
966:Satyendra Nath Bose
961:Srinivasa Ramanujan
915:Nilakantha Somayaji
698:O'Connor, John J.;
440:Pythagorean theorem
225:Sanskrit grammarian
223:century BCE) was a
200:, Vyākarana, later
179:Sanskrit grammarian
1836:Pashupata Shaivism
1666:Pashupata Shaivism
930:Gangesha Upadhyaya
751:Indian mathematics
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1978:Nyayakusumanjali
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1869:Radical Humanism
1841:Shaiva Siddhanta
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235:who lived in
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229:mathematician
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194:Notable works
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67: –
66:
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61:Find sources:
55:
51:
45:
44:
39:This article
37:
33:
28:
27:
22:
2676:Iccha-mrityu
2641:Satkaryavada
2541:Nididhyasana
2526:Matsya Nyaya
2260:Madhvacharya
2090:Adi Shankara
2083:Philosophers
2066:
2059:
2042:
2023:
2016:
2007:Shiva Sutras
1997:Sangam texts
1989:
1982:
1973:Nyāya Sūtras
1953:
1946:
1929:
1919:Brahma Sutra
1918:
1910:
1903:
1898:Arthashastra
1896:
1889:
1831:Pratyabhijna
1711:Anekantavada
1454:institutions
1374:K. S. Shukla
1346:(1892– 1953)
1212:Yavanajataka
1210:
1203:
1196:
1189:
1182:
1175:
1170:Śulba Sūtras
1168:
1161:
1156:Sadratnamala
1154:
1147:
1140:
1133:
1126:
1119:
1112:
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1100:Kanakkusaram
1098:
1091:
1084:
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935:Varāhamihira
900:Parameshvara
855:Govindasvāmi
825:Āryabhaṭa II
783:
707:
675:
651:
642:
631:. Retrieved
617:
606:. Retrieved
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566:. Retrieved
552:
541:. Retrieved
532:
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512:. Retrieved
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483:. Retrieved
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429:
424:
421:phonological
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325:Vārttikakāra
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233:Vedic priest
213:
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198:Vārttikakāra
169:Vedic period
112:
106:January 2008
103:
93:
86:
79:
72:
60:
48:Please help
43:verification
40:
2721:Vivartavada
2611:Rājamaṇḍala
2566:Paramananda
2366:Apauruṣheyā
2361:Anupalabdhi
2220:Vivekananda
2185:Dharmakirti
2145:Buddhaghosa
2135:Yājñavalkya
1942:Jain Agamas
1937:Hindu texts
1816:Navya-Nyāya
1752:Svatantrika
1747:Sautrāntika
1636:Vaisheshika
1390:Translators
1382:(1919–2005)
1380:K. V. Sarma
1376:(1918–2007)
1370:(1918–1992)
1364:(1918–2000)
1358:(1903–1978)
1352:(1901–1954)
1350:A. N. Singh
1335:(1888–1958)
1333:B. B. Datta
1329:(1876–1962)
1323:(1861–1916)
1317:(1855–1910)
1311:(1853–1898)
1305:(1821–1900)
1296:mathematics
1240:Symbol for
1224:innovations
1121:Lokavibhaga
1067:Aryabhatiya
865:Jyeṣṭhadeva
850:Brahmagupta
835:Bhāskara II
820:Āryabhaṭa I
804:Yajnavalkya
704:"Kātyāyana"
558:"Topic 101"
529:"Kātyāyana"
423:structure (
415:structure (
361:Śulbasūtras
304:Mahishasura
249:Vishwamitra
202:Śulbasūtras
65:"Kātyāyana"
2756:Categories
2671:Svātantrya
2561:Paramatman
2516:Kshetrajna
2491:Ishvaratva
2431:Cittabhumi
2426:Chidabhasa
2376:Asiddhatva
2296:Abhasavada
2270:Guru Nanak
2205:Vasubandhu
2031:Upanishads
2025:Tirukkuṟaḷ
1984:Panchadasi
1789:Bhedabheda
1737:Madhyamaka
1577:Monotheism
1339:T. Hayashi
1222:Pioneering
1205:Yuktibhāṣā
1128:Pātīgaṇita
1079:Bijaganita
1036:Ravi Vakil
890:Munishvara
870:Kamalakara
845:Brahmadeva
830:Bhāskara I
779:Baudhayana
662:References
633:2019-07-31
608:2019-07-17
568:2019-07-31
543:2022-02-21
514:2022-02-21
485:2021-11-20
444:Baudhayana
425:śabda-jāti
417:artha-jāti
409:Bhartṛhari
335:Mahābhāṣya
221: 3rd
76:newspapers
2531:Mithyatva
2421:Chaitanya
2416:Catuṣkoṭi
2381:Asatkalpa
2356:Anavastha
2331:Aishvarya
2250:Sakayanya
2245:Sadananda
2210:Gaudapada
2195:Nagarjuna
2150:Patañjali
1966:Principal
1948:Kamasutra
1742:Yogachara
1661:Raseśvara
1368:S. N. Sen
1276:New Delhi
1198:Veṇvāroha
1059:Treatises
860:Halayudha
813:Classical
784:Katyayana
774:Apastamba
623:"Topic 1"
345:Vyākaraṇa
340:Patañjali
292:Katyayani
276:Kartikeya
268:Kartikeya
214:Kātyāyana
132:Kātyāyana
2696:Tanmatra
2691:Tajjalan
2681:Syādvāda
2581:Pradhana
2556:Padārtha
2521:Lakshana
2466:Ekagrata
2311:Adrishta
2306:Adarsana
2284:Concepts
2265:Mahavira
2230:Ramanuja
2180:Chanakya
2115:Avatsara
2110:Valluvar
2050:Vedangas
1864:Gandhism
1767:Medieval
1716:Syādvāda
1701:Charvaka
1673:Pāṇiniya
1567:Idealism
1284:Varanasi
1242:zero (0)
1114:Līlāvatī
981:C.R. Rao
945:Virasena
925:Sridhara
895:Narayana
880:Mahāvīra
627:Archived
602:Archived
562:Archived
537:Archived
508:Archived
479:Archived
436:geometry
413:semantic
354:Vedangas
296:Navratri
260:Vararuci
2741:More...
2711:Upekkhā
2706:Uparati
2686:Taijasa
2661:Śūnyatā
2631:Saṃsāra
2626:Samadhi
2591:Prakṛti
2546:Nirvāṇa
2496:Jivatva
2486:Ikshana
2441:Devatas
2411:Bhumika
2401:Brahman
2391:Avyakta
2336:Akrodha
2316:Advaita
2275:More...
2170:Jaimini
2074:More...
1784:Advaita
1774:Vedanta
1732:Śūnyatā
1691:Ājīvika
1683:Nāstika
1651:Vedanta
1646:Mīmāṃsā
1626:Samkhya
1606:Ancient
1562:Atomism
1557:Atheism
1423:Babylon
1256:Centres
920:Śrīpati
799:Pingala
767:Ancient
432:Pingala
390:cowhood
350:grammar
243:Origins
90:scholar
2716:Utsaha
2666:Sutram
2656:Sthiti
2651:Sphoṭa
2621:Sakshi
2606:Puruṣa
2586:Prajna
2551:Niyama
2511:Kasaya
2456:Dravya
2446:Dharma
2406:Bhuman
2396:Bhrama
2351:Ananta
2346:Anatta
2341:Aksara
2326:Ahimsa
2301:Abheda
2291:Abhava
2240:Raikva
2160:Kapila
2155:Kanada
1852:Modern
1826:Shaiva
1794:Dvaita
1696:Ajñana
1656:Shaiva
1614:Āstika
1597:Moksha
1550:Topics
1452:Modern
1443:Europe
1433:Greece
1280:Ujjain
1272:Jaipur
954:Modern
794:Pāṇini
789:Manava
683:
405:Sphoṭa
375:siddha
330:Pāṇini
274:where
189:priest
145:Deccan
92:
85:
78:
71:
63:
2731:Yamas
2726:Viraj
2701:Tyāga
2636:Satya
2536:Mokṣa
2506:Karma
2461:Dhrti
2386:Ātman
2371:Artha
2175:Vyasa
2055:Vedas
2036:Minor
1883:Texts
1631:Nyaya
1622:Hindu
1592:Artha
1572:Logic
1428:China
457:Notes
398:basis
368:Views
314:Works
308:Rishi
264:Shiva
187:Vedic
97:JSTOR
83:books
2736:Yoga
2501:Kama
2481:Idam
2476:Hitā
2471:Guṇa
2436:Dāna
2321:Aham
1725:and
1706:Jain
1641:Yoga
1587:Kama
1501:TIFR
681:ISBN
322:The
254:The
231:and
185:and
138:Born
69:news
2616:Ṛta
2451:Dhi
427:).
384:):
338:of
165:Era
52:by
2758::
1624::
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218:c.
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1535:e
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1286:)
1270:(
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348:(
119:)
113:(
108:)
104:(
94:·
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80:·
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23:.
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