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Etruscan numerals

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803: 2246: 796: 789: 782: 775: 2801: 923:
the written digit "𐌡" is then meant to depict that hand, with the thumb out to the side. The numbers 6 to 9 then would be signaled by one fully open hand and 1 to 4 long fingers extended in the other; which would be depicted as "𐌡𐌠", "𐌡𐌠𐌠", "𐌡𐌠𐌠𐌠", "𐌡𐌠𐌠𐌠𐌠". Finally 10 would be signaled by two hands with all fingers and thumbs extended; which, in writing, would be represented by the upper and lower halves of the digit "𐌢".
1587:
locations, those from 500 BCE or earlier used only the first pattern, (1-2, 3-4, 5-6), in which the opposite faces differ by 1. Those from 350 BCE and later, on the other hand, used the Roman (1-6, 2-5, 3-4) pattern. Between 500 and 350 BCE, the latter gradually replaced the former at all Etruscan sites covered.
872:
The same pattern was used for 27, 28, 29, 37, 38, 39, etc. In contrast, the Etruscans generally wrote "𐌠𐌠𐌠𐌠" for 4 (alone and in 14, 24, 34, etc.), "𐌢𐌢𐌢𐌢" for 40, and "𐌡𐌠𐌠", "𐌡𐌠𐌠𐌠", "𐌡𐌠𐌠𐌠𐌠" for 7, 8, and 9 alone. (In that they were unlike the Romans, who would write 4 as "IV", 9
856:
Examples are known of larger numbers, but it is unknown which digit represents which numeral. Most numbers were written with "additive notation", namely by writing digits that added to the desired number, from higher to lower value. Thus the number '87', for example, would be written 50 + 10 + 10 +
922:
In that hypothesis, the early inhabitants of the region counted from 1 to 4 by extending the same number of long fingers (index to little); gestures that were represented in writing by "𐌠", "𐌠𐌠", "𐌠𐌠𐌠", "𐌠𐌠𐌠𐌠". The count of 5 was signaled by extending those 4 fingers plus the thumb; and
1586:
For unknown reasons, Roman dice generally used the last pattern, (1-6, 2-5, 3-4), in which every pair of opposite faces adds to 7; a tradition that continued in Europe to the present day, and has become the standard all over the world. However, among the 91 Etruscan dice from many different
860:
However, mirroring the way those numbers were spoken in their language, the Etruscans would often write 17, 18, and 19 as "𐌠𐌠𐌠𐌢𐌢", "𐌠𐌠𐌢𐌢", and "𐌠𐌢𐌢" – that is, "three from twenty", "two from twenty", and "one from twenty", instead of "𐌢𐌡𐌠𐌠", "𐌢𐌡𐌠𐌠𐌠", and "𐌢𐌡𐌠𐌠𐌠𐌠". (The
1629:
That assignment would imply that the Tuscany dice follow the pattern (1-6, 2-5, 3-4); that is, they are of the "late" (Roman) type. The researchers claim that this assignment is consistent with the shape of the letters, that indicate a date later than 400 BCE.
1565:
Mathematically, there are 30 ways to place the numbers 1-6 on the faces of a die; or 15 if one counts together numberings that are mirror images of each other. These 15 possibilities are identified by the pairs of numbers that occur on opposite faces:
970:
Nevertheless, except for the identities of 4 and 6, there is general agreement among Etruscologists about the words for numbers up to 100. The table below gives the transliteration (one letter for each Etruscan letter) and an approximate phonetic pronunciation.
954:
When transposing the final count to writing (or to another stick), it would have been unnecessary to copy each "𐌠𐌠𐌠𐌠Λ𐌠𐌠𐌠𐌠" before a "𐌢", or each "𐌠𐌠𐌠𐌠" before a Λ. So the count of '28' would be written down as simply "𐌢𐌢𐌡𐌠𐌠𐌠".
1710:, A. Carnoy, M. Durante, V. Georgiev, A. Morandi and M. Pittau, have posited a "perfect fit" between the ten Etruscan numerals and words in various Indo-European languages (not always numerical or with any apparent connection), such as 1641:) would make the pattern of the Tuscany dice be (1-4, 2-5, 3-6); that is, with numbers on opposite faces being 3 apart. No other Etruscan die has been found with that pattern (or with words instead of pips, for that matter). 857:
10 + 5 + 1 + 1 = "𐌣𐌢𐌢𐌢𐌡𐌠𐌠". (Since the Etruscan script was usually written from right to left, the number would appear as "𐌠𐌠𐌡𐌢𐌢𐌢𐌣" in inscriptions. This caveat holds for all the following examples.)
942:
In that system, each unit counted would be recorded as a notch cut across the stick. Every fifth notch was double cut, i.e. "𐌡" and every tenth was cross cut, "𐌢"; much like European
891:
The Etruscan digits for 1, 5, 10, 50, and 100 ("𐌠", "𐌡", "𐌢", "𐌣", and "𐌟") have been assigned specific codes in the Unicode computer character set, as part of the
974:
Words marked by asterisks are not attested, but are hypothesized based on known numbers. A hyphen indicates that only derivations of the numeral are attested.
963:
The paucity of material severely limits current knowledge about the Etruscan words for numbers, and their grammar. For example, the assumed word for 9,
1703:
L. Bonfante (1990) claimed that what the numerals "show, beyond any shadow of a doubt, is the non-Indo-European nature of the Etruscan language".
2220: 2083: 939:
shepherds into the 19th century. Unfortunately, being made of perishable wood, no tally sticks would have survived from that period.
915:
An old hypothesis, advanced by Th. Mommsen in 1887 and echoed by A. Hooper, is that the digits for 1, 5, and 10 were iconic for hand
710: 2547: 1798: 2301: 1543:("the fourth Charon"). In the same necropolis, in the Tomb of the Anina, which contains six burial places, an inscription reads: 430: 931:
Another hypothesis, which seems to be more accepted today, is that the Etrusco-Roman numerals actually derive from notches on
2346: 1966: 2125: 737: 1500:
There has been a longstanding controversy about the assignment of 4 and 6. All Etruscologists agree that the words are
263: 1922:
Artioli, G.; Nociti, V.; Angelini, I. (October 2011). "Gambling with Etruscan Dice: A tale of numbers and letters".
2500: 2049: 54: 2461: 497: 1707: 1554:, from many different ages and locations, with numbers marked by dots ("pips"); and a lone pair of dice (the " 888:. However, it should be kept in mind that there is in fact very little surviving evidence of these numerals. 2296: 2073: 1614:). In both the "old" and "new" patterns, however, the values 3 and 4 lie on opposite faces. Thus, since 703: 278: 2383: 2291: 2093: 1697: 623: 2451: 2063: 450: 1900:
Pallottino, M. (1964). "Un gruppo di nuove iscrizioni tarquiniesi e il problema dei numerali etruschi".
633: 2823: 2446: 2372: 2215: 892: 510: 2413: 2393: 2254: 2235: 2200: 606: 375: 1550:
However, that assignment was challenged in 2011 by a thorough analysis of 91 Etruscan gambling
2590: 1539:
are represented, each one accompanied by an inscription: Next to the fourth Charon, the text reads
696: 23: 2084:
https://web.archive.org/web/20050405165439/http://users.tpg.com.au/etr/etrusk/tex/grammar.html#num
2610: 2118: 733: 727: 686: 470: 67: 1810: 331: 2431: 2426: 370: 286: 876:
These digits were used throughout the Etruscan zone of influence, from the plains of northern
2436: 2341: 2271: 2134: 1755: 1528: 916: 488: 2245: 2673: 2015: 583: 444: 437: 318: 1872:. Translated by David Bellos, E. F. Harding, Sophie Wood, Ian Monk. John Wiley & Sons. 861:
Romans occasionally did the same for 18 and 19, matching the way they said those numbers:
8: 2542: 2471: 2466: 2028:
Maras, Daniele. "Numbers and reckoning: A whole civilization founded upon divisions." In
1765: 1735: 1451: 665: 655: 530: 481: 293: 225: 80: 41: 2098: 2068: 1799:
Nombre, chiffre, lettre : Formes et réformes. Des notations chiffrées de l'étrusque
1519:
Until recently, it was generally accepted, based on archaeological evidence, that 4 was
1457:
Note that the numbers 17 to 19 are written as three, two and one from twenty. Similarly
120: 2585: 2536: 2155: 2111: 1536: 578: 168: 163: 110: 115: 2828: 2800: 2633: 2580: 2489: 2481: 2366: 2331: 2281: 1935: 1806: 1760: 749: 660: 650: 638: 618: 568: 504: 336: 308: 215: 148: 138: 125: 90: 85: 553: 2523: 2494: 2421: 2321: 2258: 2165: 2160: 2150: 2142: 2088: 1931: 1830: 1826: 1682: 1465: 853:(With the proper Unicode font installed, the first two rows should look the same.) 563: 457: 210: 198: 143: 133: 100: 75: 1870:
The Universal History of Numbers: From Prehistory to the Invention of the Computer
1801:" ("Between Numbers and Letters: About Etruscan Notations of Numeral Sequences"). 2625: 2518: 2441: 2311: 2306: 2210: 2190: 753: 675: 645: 588: 558: 543: 303: 271: 243: 220: 203: 62: 158: 2648: 2529: 2456: 2286: 2266: 2230: 1995: 1555: 904: 869:. This habit has been attributed to Etruscan influence in the Latin language.) 764:
The Etruscan numerical system included the following digits with known values:
670: 613: 593: 548: 421: 153: 105: 31: 2817: 2743: 2605: 2513: 2507: 2388: 2185: 476: 365: 298: 238: 173: 95: 1887: 2804: 2723: 2615: 2595: 2276: 2225: 628: 1622:
must be 4; and since there is no dissent about the words for 1, 2, and 5,
2600: 2575: 2175: 1952:, University of California Press (Berkeley and Los Angeles, 1990), p. 22. 943: 932: 598: 463: 415: 405: 2103: 2094:
https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1475-4754.2011.00596.x
2557: 1559: 802: 400: 795: 788: 2768: 2753: 2728: 2698: 2668: 2336: 2170: 1532: 781: 774: 410: 2643: 2035:
Woudhuizen, F. C. "Etruscan numerals in indo-european perspective."
2032:, edited by Jean MacIntosh Turfa, 478–91. Abingdon: Routledge, 2013. 2783: 2778: 2773: 2758: 2738: 2570: 2565: 2356: 2316: 2205: 2099:
Arjan Verweij – Gallery of Ancient Dice – Ivory and Bone Cubic Dice
936: 1547:, which has been translated as: "he built six tombs/sepulchres". 2718: 2713: 2708: 2703: 2693: 2688: 2678: 2653: 2351: 2180: 1921: 1527:. For instance, in the frescos of the Tomb of the Charons in the 810: 395: 380: 2398: 2326: 1669:
meant '10'. According to his interpretation, the attested form
1454:, which in Etruscan are distinguished from non-aspirated , , . 881: 385: 16:
Words, phrases and symbols for numbers of the Etruscan language
2788: 2748: 2733: 2683: 2658: 2638: 2403: 2378: 2361: 2195: 1696:
There is a debate that has been carried out about a possible
877: 390: 352: 313: 2763: 2663: 1803:
Revue de philologie, de littérature et d'histoire anciennes
1551: 885: 946:
today. For example, a count of '28' would then look like
1590:
On the Tuscany dice, the opposite faces carry the words (
1681:
would therefore be '60', and is presumably cognate with
950:𐌠𐌠𐌠𐌠𐌡𐌠𐌠𐌠𐌠𐌢𐌠𐌠𐌠𐌠𐌡𐌠𐌠𐌠𐌠𐌢𐌠𐌠𐌠𐌠𐌡𐌠𐌠𐌠 1475: 1469: 1821:
Giuliano Bonfante (1985): "Etruscan Words in Latin".
903:
The Etruscan digits may have been based on the Greek
1888:
Etruscan numerals: problems and results of research
1649:In 2006, S. A. Yatsemirsky presented evidence that 2010:Agostiniani, Luciano. "The Etruscan language." In 1994:, vol. XXXV–XXXVI, 1994/1995 (1996), pp. 95–105. ( 1618:was known to be 3, the researchers concluded that 1579:(1-5, 2-3, 4-6), (1-5, 2-4, 3-6), (1-5, 2-6, 3-4), 1576:(1-4, 2-3, 5-6), (1-4, 2-5, 3-6), (1-4, 2-6, 3-5), 1573:(1-3, 2-4, 5-6), (1-3, 2-5, 4-6), (1-3, 2-6, 4-5), 1570:(1-2, 3-4, 5-6), (1-2, 3-5, 4-6), (1-2, 3-6, 4-5), 1450:The phonetic notation (φ), (θ) and (ψ) denotes 1582:(1-6, 2-3, 4-5), (1-6, 2-4, 3-5), (1-6, 2-5, 3-4) 907:. However, other hypotheses have been advanced. 2815: 2089:http://www.mysteriousetruscans.com/language.html 1961:Carnoy A., La langue étrusque et ses origines, 1899: 1854:Th. Mommsen (1887): "Zahl- und Bruchzeichen". 2119: 1805:, volume LXXXIII (83), issue 1, pp. 103–130. 1738:*tréyes, which is not a match to Etruscan ), 1516:). The disagreement is about which is which. 748:are the words and phrases for numbers of the 704: 2221:Arruns Tarquinius (son of Tarquin the Proud) 935:, which continued to be used by Italian and 1691: 2126: 2112: 1917: 1915: 1913: 1911: 1883: 1881: 1879: 1793: 1791: 1789: 1787: 1785: 1783: 1781: 1562:") with the numbers written out as words. 711: 697: 2133: 1992:Atti del Sodalizio Glottologico Milanese 1861: 1644: 1468:. For example, in the Etruscan sentence 967:, is known from a single inscription. 1908: 1876: 1848: 1778: 738:question marks, boxes, or other symbols 2816: 1706:Conversely, other scholars, including 1700:origin of the Etruscan number words. 1495: 2107: 2021:Gluhak, Alemko. "Etruscan Numerals." 1981:, Erre Emme (Roma, 1991), chapter IV. 1867: 1677:must therefore mean 'four'. The form 2018:, 457–77. Abingdon: Routledge, 2013. 1990:Pittau, M., "I numerali Etruschi", 1825:, volume 36, issue 3, pp. 203–210. 1815: 1464:The numbers could be inflected for 13: 2004: 1979:Nuovi lineamenti di lingua etrusca 1858:, volume 22, issue 4, pp. 596–614. 14: 2840: 2043: 2799: 2548:English words of Etruscan origin 2422:Battle of Alalia (540 BC–535 BC) 2244: 1936:10.1111/j.1475-4754.2011.00596.x 801: 794: 787: 780: 773: 2501:Corpus Inscriptionum Etruscarum 2302:Etruscan names for Greek heroes 1984: 1971: 1955: 1673:could only mean 'sixteen', and 958: 910: 2462:Battle of Lake Vadimo (310 BC) 2437:Battle of the Cremera (477 BC) 1942: 1893: 1835: 1831:10.1080/00437956.1985.11435872 1461:"three from thirty" (27) etc. 926: 1: 1797:Gilles Van Heems (2009)> " 1771: 1633:The opposite assignment (4 = 2467:Battle of Populonia (282 BC) 2292:Corpus Speculorum Etruscorum 2074:Resources in other libraries 1476: 1470: 7: 2452:Capture of Fidenae (435 BC) 1749: 1474:"has died of two eighty", 1471:lupu avils esals cezpalψals 10: 2845: 2457:Battle of Veii (c. 396 BC) 2447:Battle of Fidenae (437 BC) 2373:Sarcophagus of the Spouses 2216:Lucius Tarquinius Superbus 1845:(New York, H. Holt, 1945). 898: 431:Non-standard radices/bases 2797: 2624: 2556: 2480: 2412: 2394:Tomb of the Roaring Lions 2253: 2242: 2236:Titus Vestricius Spurinna 2201:Lucius Tarquinius Priscus 2141: 2069:Resources in your library 1432: 1421: 1410: 1399: 1366: 1333: 1322: 1311: 1300: 1289: 1147: 1137: 1127: 1082: 1032: 1022: 1000: 759: 2591:National Etruscan Museum 2442:Battle of Cumae (474 BC) 2025:17, no. 1 (1978): 25–32. 1890:(PDF), S. A. Yatsemirsky 1692:Indo-European hypothesis 880:to the region of modern 2611:Tumulus of Montefortini 1868:Ifrah, Georges (2000). 687:List of numeral systems 2432:Siege of Rome (508 BC) 2427:Siege of Rome (509 BC) 1965:, 21 (1952), p. 326. ( 873:as "IX", 40 as "XL".) 726:This article contains 2342:Monterozzi necropolis 2135:Etruscan civilization 1963:L'Antiquité Classique 1843:The River Mathematics 1756:Etruscan civilization 1645:Duodecimal hypothesis 1529:Monterozzi necropolis 917:gestures for counting 55:Hindu–Arabic numerals 2674:Civita di Bagnoregio 2347:Mythological figures 2016:Jean MacIntosh Turfa 1730:'three' and Iranian 1545:sa suthi cherichunce 1531:, on a hill east of 1293:"three from twenty" 756:used to write them. 584:Prehistoric counting 360:Common radices/bases 42:Place-value notation 2543:Tyrsenian languages 2472:Roman-Etruscan Wars 2384:Terracotta warriors 1766:Old Italic alphabet 1736:proto-Indo-European 1714:'one' and Sanskrit 1496:The 4 vs. 6 dispute 1488:is the genitive of 1480:is the genitive of 979: 531:Sign-value notation 2586:Monteleone Chariot 2537:Tabula Cortonensis 2317:Haruspex/Extispicy 2156:Villanovan culture 2030:The Etruscan World 2012:The Etruscan World 1315:"one from twenty" 1304:"two from twenty" 978:Etruscan numerals 977: 728:special characters 187:East Asian systems 2824:Etruscan language 2811: 2810: 2581:Impasto (pottery) 2332:Liver of Piacenza 2282:Chimera of Arezzo 2055:Etruscan numerals 2050:Library resources 2039:, 20 (1988): 109. 1761:Etruscan language 1742:'four' and Latin 1722:'two' and German 1445: 1444: 851: 850: 750:Etruscan language 746:Etruscan numerals 734:rendering support 721: 720: 520: 519: 2836: 2803: 2524:Lemnian language 2495:Cippus Perusinus 2414:Military history 2248: 2166:Founding of Rome 2161:Padanian Etruria 2128: 2121: 2114: 2105: 2104: 1998: 1988: 1982: 1975: 1969: 1959: 1953: 1946: 1940: 1939: 1930:(5): 1031–1043. 1919: 1906: 1905: 1897: 1891: 1885: 1874: 1873: 1865: 1859: 1852: 1846: 1839: 1833: 1819: 1813: 1795: 1657:meant '12' (cf. 1479: 1473: 980: 976: 893:Old Italic block 805: 798: 791: 784: 777: 767: 766: 754:numerical digits 713: 706: 699: 502: 486: 468: 458:balanced ternary 455: 442: 48: 47: 19: 18: 2844: 2843: 2839: 2838: 2837: 2835: 2834: 2833: 2814: 2813: 2812: 2807: 2793: 2620: 2552: 2519:Raetic language 2476: 2408: 2312:Fanum Voltumnae 2307:Tiburtine Sibyl 2297:Etruscan League 2249: 2240: 2211:Servius Tullius 2191:Caelius Vibenna 2137: 2132: 2080: 2079: 2078: 2058: 2057: 2053: 2046: 2007: 2005:Further reading 2002: 2001: 1989: 1985: 1976: 1972: 1960: 1956: 1947: 1943: 1920: 1909: 1898: 1894: 1886: 1877: 1866: 1862: 1853: 1849: 1841:Alfred Hooper. 1840: 1836: 1820: 1816: 1796: 1779: 1774: 1752: 1694: 1647: 1498: 1452:aspirated stops 1447: 1437: 1414:"eight-ty/ten" 1403:"seven-ty/ten" 1382: 1349: 1337:"three-ty/ten" 1272: 1260:"three-twelve" 1233: 993:interpretation 992: 988:interpretation 987: 961: 929: 913: 901: 762: 743: 742: 741: 732:Without proper 717: 681: 680: 603: 589:Proto-cuneiform 534: 533: 522: 521: 516: 515: 500: 484: 466: 453: 440: 427: 356: 355: 343: 342: 323: 283: 268: 259: 258: 249: 248: 230: 189: 188: 179: 178: 130: 72: 58: 57: 45: 44: 32:Numeral systems 17: 12: 11: 5: 2842: 2832: 2831: 2826: 2809: 2808: 2798: 2795: 2794: 2792: 2791: 2786: 2781: 2776: 2771: 2766: 2761: 2756: 2751: 2746: 2741: 2736: 2731: 2726: 2721: 2716: 2711: 2706: 2701: 2696: 2691: 2686: 2681: 2676: 2671: 2666: 2661: 2656: 2651: 2646: 2641: 2636: 2630: 2628: 2622: 2621: 2619: 2618: 2613: 2608: 2603: 2598: 2593: 2588: 2583: 2578: 2573: 2568: 2562: 2560: 2554: 2553: 2551: 2550: 2545: 2540: 2533: 2530:Tabula Capuana 2526: 2521: 2516: 2511: 2504: 2497: 2492: 2486: 2484: 2478: 2477: 2475: 2474: 2469: 2464: 2459: 2454: 2449: 2444: 2439: 2434: 2429: 2424: 2418: 2416: 2410: 2409: 2407: 2406: 2401: 2396: 2391: 2386: 2381: 2376: 2369: 2364: 2359: 2354: 2349: 2344: 2339: 2334: 2329: 2324: 2319: 2314: 2309: 2304: 2299: 2294: 2289: 2284: 2279: 2274: 2269: 2267:Apollo of Veii 2263: 2261: 2251: 2250: 2243: 2241: 2239: 2238: 2233: 2231:Lars Tolumnius 2228: 2223: 2218: 2213: 2208: 2203: 2198: 2193: 2188: 2183: 2178: 2173: 2168: 2163: 2158: 2153: 2147: 2145: 2139: 2138: 2131: 2130: 2123: 2116: 2108: 2102: 2101: 2096: 2091: 2086: 2077: 2076: 2071: 2066: 2060: 2059: 2048: 2047: 2045: 2044:External links 2042: 2041: 2040: 2033: 2026: 2019: 2006: 2003: 2000: 1999: 1983: 1970: 1954: 1941: 1907: 1902:Studi Etruschi 1892: 1875: 1860: 1847: 1834: 1814: 1776: 1775: 1773: 1770: 1769: 1768: 1763: 1758: 1751: 1748: 1734:'three' (from 1693: 1690: 1646: 1643: 1584: 1583: 1580: 1577: 1574: 1571: 1558:" or "dice of 1556:Tuscanian dice 1497: 1494: 1443: 1442: 1441:"one hundred" 1431: 1427: 1426: 1425:"nine-ty/ten" 1420: 1416: 1415: 1409: 1405: 1404: 1398: 1394: 1393: 1387: 1376: 1372: 1371: 1370:"five-ty/ten" 1365: 1361: 1360: 1354: 1343: 1339: 1338: 1332: 1328: 1327: 1321: 1317: 1316: 1310: 1306: 1305: 1299: 1295: 1294: 1288: 1284: 1283: 1282:"four-twelve" 1277: 1266: 1262: 1261: 1255: 1249: 1245: 1244: 1238: 1227: 1223: 1222: 1216: 1210: 1206: 1205: 1195: 1189: 1185: 1184: 1181: 1175: 1171: 1170: 1165: 1156: 1152: 1151: 1146: 1142: 1141: 1136: 1132: 1131: 1126: 1122: 1121: 1112: 1095: 1091: 1090: 1081: 1077: 1076: 1067: 1050: 1046: 1045: 1031: 1027: 1026: 1021: 1017: 1016: 999: 995: 994: 989: 984: 960: 957: 952: 951: 928: 925: 912: 909: 905:Attic numerals 900: 897: 849: 848: 845: 842: 839: 836: 833: 829: 828: 825: 822: 819: 816: 813: 807: 806: 799: 792: 785: 778: 771: 761: 758: 736:, you may see 724: 723: 722: 719: 718: 716: 715: 708: 701: 693: 690: 689: 683: 682: 679: 678: 673: 668: 663: 658: 653: 648: 643: 642: 641: 636: 631: 621: 616: 610: 609: 602: 601: 596: 591: 586: 581: 576: 571: 566: 561: 556: 551: 546: 540: 539: 538:Non-alphabetic 535: 529: 528: 527: 524: 523: 518: 517: 514: 513: 508: 495: 479: 474: 461: 448: 434: 433: 426: 425: 418: 413: 408: 403: 398: 393: 388: 383: 378: 373: 368: 362: 361: 357: 350: 349: 348: 345: 344: 341: 340: 334: 328: 327: 322: 321: 316: 311: 306: 301: 296: 290: 289: 287:Post-classical 282: 281: 275: 274: 267: 266: 260: 256: 255: 254: 251: 250: 247: 246: 241: 235: 234: 229: 228: 223: 218: 213: 208: 207: 206: 195: 194: 190: 186: 185: 184: 181: 180: 177: 176: 171: 166: 161: 156: 151: 146: 141: 136: 129: 128: 123: 118: 113: 108: 103: 98: 93: 88: 83: 78: 71: 70: 68:Eastern Arabic 65: 63:Western Arabic 59: 53: 52: 51: 46: 40: 39: 38: 35: 34: 28: 27: 15: 9: 6: 4: 3: 2: 2841: 2830: 2827: 2825: 2822: 2821: 2819: 2806: 2802: 2796: 2790: 2787: 2785: 2782: 2780: 2777: 2775: 2772: 2770: 2767: 2765: 2762: 2760: 2757: 2755: 2752: 2750: 2747: 2745: 2744:San Giovenale 2742: 2740: 2737: 2735: 2732: 2730: 2727: 2725: 2722: 2720: 2717: 2715: 2712: 2710: 2707: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2687: 2685: 2682: 2680: 2677: 2675: 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2655: 2652: 2650: 2647: 2645: 2642: 2640: 2637: 2635: 2632: 2631: 2629: 2627: 2623: 2617: 2614: 2612: 2609: 2607: 2606:Tomb of Orcus 2604: 2602: 2599: 2597: 2594: 2592: 2589: 2587: 2584: 2582: 2579: 2577: 2574: 2572: 2569: 2567: 2564: 2563: 2561: 2559: 2555: 2549: 2546: 2544: 2541: 2539: 2538: 2534: 2532: 2531: 2527: 2525: 2522: 2520: 2517: 2515: 2514:Pyrgi Tablets 2512: 2510: 2509: 2508:Liber Linteus 2505: 2503: 2502: 2498: 2496: 2493: 2491: 2488: 2487: 2485: 2483: 2479: 2473: 2470: 2468: 2465: 2463: 2460: 2458: 2455: 2453: 2450: 2448: 2445: 2443: 2440: 2438: 2435: 2433: 2430: 2428: 2425: 2423: 2420: 2419: 2417: 2415: 2411: 2405: 2402: 2400: 2397: 2395: 2392: 2390: 2389:Titus Larcius 2387: 2385: 2382: 2380: 2377: 2375: 2374: 2370: 2368: 2365: 2363: 2360: 2358: 2355: 2353: 2350: 2348: 2345: 2343: 2340: 2338: 2335: 2333: 2330: 2328: 2325: 2323: 2320: 2318: 2315: 2313: 2310: 2308: 2305: 2303: 2300: 2298: 2295: 2293: 2290: 2288: 2285: 2283: 2280: 2278: 2275: 2273: 2270: 2268: 2265: 2264: 2262: 2260: 2256: 2252: 2247: 2237: 2234: 2232: 2229: 2227: 2224: 2222: 2219: 2217: 2214: 2212: 2209: 2207: 2204: 2202: 2199: 2197: 2194: 2192: 2189: 2187: 2186:Aulus Vibenna 2184: 2182: 2179: 2177: 2174: 2172: 2169: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2148: 2146: 2144: 2140: 2136: 2129: 2124: 2122: 2117: 2115: 2110: 2109: 2106: 2100: 2097: 2095: 2092: 2090: 2087: 2085: 2082: 2081: 2075: 2072: 2070: 2067: 2065: 2062: 2061: 2056: 2051: 2038: 2034: 2031: 2027: 2024: 2020: 2017: 2013: 2009: 2008: 1996: 1993: 1987: 1980: 1977:Morandi, A., 1974: 1967: 1964: 1958: 1951: 1948:Bonfante, L., 1945: 1937: 1933: 1929: 1925: 1918: 1916: 1914: 1912: 1903: 1896: 1889: 1884: 1882: 1880: 1871: 1864: 1857: 1851: 1844: 1838: 1832: 1828: 1824: 1818: 1812: 1808: 1804: 1800: 1794: 1792: 1790: 1788: 1786: 1784: 1782: 1777: 1767: 1764: 1762: 1759: 1757: 1754: 1753: 1747: 1746:'four', etc. 1745: 1741: 1737: 1733: 1729: 1725: 1721: 1717: 1713: 1709: 1704: 1701: 1699: 1698:Indo-European 1689: 1687: 1684: 1680: 1676: 1672: 1668: 1664: 1660: 1656: 1652: 1642: 1640: 1636: 1631: 1627: 1626:had to be 6. 1625: 1621: 1617: 1613: 1609: 1605: 1601: 1597: 1593: 1588: 1581: 1578: 1575: 1572: 1569: 1568: 1567: 1563: 1561: 1557: 1553: 1548: 1546: 1542: 1538: 1534: 1530: 1526: 1522: 1517: 1515: 1511: 1507: 1503: 1493: 1491: 1487: 1483: 1478: 1472: 1467: 1462: 1460: 1455: 1453: 1448: 1440: 1435: 1429: 1428: 1424: 1418: 1417: 1413: 1407: 1406: 1402: 1396: 1395: 1391: 1388: 1385: 1380: 1377: 1374: 1373: 1369: 1363: 1362: 1358: 1355: 1352: 1347: 1344: 1341: 1340: 1336: 1330: 1329: 1325: 1319: 1318: 1314: 1308: 1307: 1303: 1297: 1296: 1292: 1286: 1285: 1281: 1278: 1275: 1270: 1267: 1264: 1263: 1259: 1256: 1253: 1250: 1247: 1246: 1242: 1239: 1236: 1231: 1228: 1225: 1224: 1220: 1217: 1214: 1211: 1208: 1207: 1203: 1199: 1196: 1193: 1190: 1187: 1186: 1182: 1179: 1176: 1173: 1172: 1169: 1166: 1164: 1160: 1157: 1154: 1153: 1150: 1144: 1143: 1140: 1134: 1133: 1130: 1124: 1123: 1120: 1116: 1113: 1111: 1107: 1103: 1099: 1096: 1093: 1092: 1089: 1085: 1079: 1078: 1075: 1071: 1068: 1066: 1062: 1058: 1054: 1051: 1048: 1047: 1043: 1039: 1035: 1029: 1028: 1025: 1019: 1018: 1015: 1011: 1007: 1003: 997: 996: 990: 985: 982: 981: 975: 972: 968: 966: 956: 949: 948: 947: 945: 940: 938: 934: 924: 920: 918: 908: 906: 896: 894: 889: 887: 883: 879: 874: 870: 868: 864: 858: 854: 846: 843: 840: 837: 834: 831: 830: 826: 823: 820: 817: 814: 812: 809: 808: 804: 800: 797: 793: 790: 786: 783: 779: 776: 772: 769: 768: 765: 757: 755: 751: 747: 739: 735: 731: 729: 714: 709: 707: 702: 700: 695: 694: 692: 691: 688: 685: 684: 677: 674: 672: 669: 667: 664: 662: 659: 657: 654: 652: 649: 647: 644: 640: 637: 635: 632: 630: 627: 626: 625: 624:Alphasyllabic 622: 620: 617: 615: 612: 611: 608: 605: 604: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 560: 557: 555: 552: 550: 547: 545: 542: 541: 537: 536: 532: 526: 525: 512: 509: 506: 499: 496: 493: 492: 483: 480: 478: 475: 472: 465: 462: 459: 452: 449: 446: 439: 436: 435: 432: 429: 428: 423: 419: 417: 414: 412: 409: 407: 404: 402: 399: 397: 394: 392: 389: 387: 384: 382: 379: 377: 374: 372: 369: 367: 364: 363: 359: 358: 354: 347: 346: 338: 335: 333: 330: 329: 325: 324: 320: 317: 315: 312: 310: 307: 305: 302: 300: 297: 295: 292: 291: 288: 285: 284: 280: 277: 276: 273: 270: 269: 265: 262: 261: 257:Other systems 253: 252: 245: 242: 240: 239:Counting rods 237: 236: 232: 231: 227: 224: 222: 219: 217: 214: 212: 209: 205: 202: 201: 200: 197: 196: 192: 191: 183: 182: 175: 172: 170: 167: 165: 162: 160: 157: 155: 152: 150: 147: 145: 142: 140: 137: 135: 132: 131: 127: 124: 122: 119: 117: 114: 112: 109: 107: 104: 102: 99: 97: 94: 92: 89: 87: 84: 82: 79: 77: 74: 73: 69: 66: 64: 61: 60: 56: 50: 49: 43: 37: 36: 33: 30: 29: 25: 21: 20: 2724:Poggio Colla 2616:Vicus Tuscus 2596:Negau helmet 2535: 2528: 2506: 2499: 2371: 2272:Architecture 2226:Lars Porsena 2064:Online books 2054: 2036: 2029: 2022: 2014:, edited by 2011: 1991: 1986: 1978: 1973: 1962: 1957: 1949: 1944: 1927: 1924:Archaeometry 1923: 1901: 1895: 1869: 1863: 1855: 1850: 1842: 1837: 1822: 1817: 1802: 1743: 1739: 1731: 1727: 1723: 1719: 1715: 1711: 1705: 1702: 1695: 1685: 1678: 1674: 1670: 1666: 1665:'20') while 1662: 1658: 1654: 1650: 1648: 1638: 1634: 1632: 1628: 1623: 1619: 1615: 1611: 1607: 1603: 1599: 1595: 1591: 1589: 1585: 1564: 1549: 1544: 1541:charun huths 1540: 1524: 1520: 1518: 1513: 1509: 1505: 1501: 1499: 1489: 1485: 1481: 1463: 1458: 1456: 1449: 1446: 1438: 1433: 1422: 1411: 1400: 1389: 1383: 1378: 1367: 1356: 1350: 1345: 1334: 1323: 1313:θunem zaθrum 1312: 1302:eslem zaθrum 1301: 1290: 1279: 1273: 1268: 1257: 1251: 1240: 1234: 1229: 1218: 1215:"three-ten" 1212: 1201: 1197: 1191: 1177: 1167: 1162: 1158: 1148: 1138: 1128: 1118: 1114: 1109: 1105: 1101: 1097: 1087: 1083: 1073: 1069: 1064: 1060: 1056: 1052: 1041: 1037: 1033: 1023: 1013: 1009: 1005: 1001: 973: 969: 964: 962: 959:Number words 953: 941: 933:tally sticks 930: 921: 914: 911:Hand signals 902: 890: 875: 871: 866: 863:duodeviginti 862: 859: 855: 852: 763: 745: 744: 725: 573: 490: 451:Signed-digit 326:Contemporary 193:Contemporary 2601:Portonaccio 2576:Etruscology 2176:Tyrrhenians 2023:Linguistica 1359:"four-ten" 1291:ciem zaθrum 1254:"five-ten" 1237:"four-ten" 944:tally marks 927:Tally marks 884:, south of 867:undeviginti 629:Akṣarapallī 599:Tally marks 498:Non-integer 2818:Categories 2634:Acquarossa 2558:Archeology 1904:: 121–122. 1772:References 1708:F. Adrados 1686:sialψv-eiś 1560:Toscanella 1523:and 6 was 1486:cezpalψals 1459:ciem cealψ 1392:"six-ten" 1353:"four-ty" 1276:"six-ten" 1194:"two-ten" 1180:"one-ten" 991:Duodecimal 752:, and the 666:Glagolitic 639:Kaṭapayādi 607:Alphabetic 511:Asymmetric 353:radix/base 294:Cistercian 279:Babylonian 226:Vietnamese 81:Devanagari 2769:Vetulonia 2754:Tarquinia 2729:Populonia 2699:Fescennia 2669:Cerveteri 2626:Key sites 2337:Mezentius 2171:Tyrrhenus 1811:0035-1652 1533:Tarquinia 1386:"six-ty" 1204:"twelve" 937:Dalmatian 634:Āryabhaṭa 579:Kharosthi 471:factorial 438:Bijective 339:(Iñupiaq) 169:Sundanese 164:Mongolian 111:Malayalam 2829:Numerals 2784:Volterra 2779:Volsinii 2774:Vie Cave 2759:Tuscania 2739:Rusellae 2571:Cuniculi 2566:Bucchero 2490:Alphabet 2482:Language 2367:Religion 2357:Poppilia 2206:Tanaquil 1950:Etruscan 1750:See also 1744:quattuor 1718:'thou', 1661:'2' and 1484:(2) and 1423:*nurφalψ 1357:*huθalψ- 1258:ci- śar- 1213:ci- śar- 661:Georgian 651:Cyrillic 619:Armenian 574:Etruscan 569:Egyptian 477:Negative 337:Kaktovik 332:Cherokee 309:Pentadic 233:Historic 216:Japanese 149:Javanese 139:Balinese 126:Dzongkha 91:Gurmukhi 86:Gujarati 24:a series 22:Part of 2719:Perusia 2714:Orvieto 2709:Norchia 2704:Fidenae 2694:Falerii 2689:Etruria 2679:Clusium 2654:Bologna 2649:Baratti 2352:Persius 2322:Jewelry 2259:society 2255:Culture 2181:Tarchon 2151:Origins 2143:History 2037:Talanta 1726:'two', 1683:Lemnian 1537:Charons 1535:, four 1490:cezpalψ 1412:cezpalψ 1401:śemφalψ 1379:*huθalψ 1351:*huθalψ 1326:"tw-?" 1280:huθzar- 1269:huθzar- 1252:*maψśar 1241:*zalśar 1192:*zalśar 986:Decimal 899:Origins 811:Unicode 564:Chuvash 482:Complex 272:Ancient 264:History 211:Hokkien 199:Chinese 144:Burmese 134:Tibetan 121:Kannada 101:Sinhala 76:Bengali 2805:Portal 2644:Aleria 2399:Vegoia 2327:Lausus 2052:about 1856:Hermes 1809:  1688:'60'. 1671:huθzar 1663:zaθrum 1637:, 6 = 1508:) and 1492:(80). 1434:chimth 1368:muvalψ 1324:zaθrum 1274:*śaśar 1235:huθzar 1230:*śaśar 1219:*θuśar 1178:*θuśar 1088:*maψv- 983:Value 882:Naples 832:Value 770:Digit 760:Digits 676:Hebrew 646:Coptic 559:Brahmi 544:Aegean 501:  485:  467:  454:  441:  304:Muisca 244:Tangut 221:Korean 204:Suzhou 116:Telugu 2789:Vulci 2749:Spina 2734:Pyrgi 2684:Cumae 2659:Caere 2639:Adria 2404:Vulca 2379:Tages 2362:Raeti 2287:Coins 2196:Capys 1679:śealψ 1477:esals 1439:ximth 1390:śealψ 1384:śealψ 1346:śealψ 1335:cealψ 1149:nurφ- 1139:*cezp 878:Italy 671:Greek 656:Geʽez 614:Abjad 594:Roman 554:Aztec 549:Attic 464:Mixed 422:table 314:Quipu 299:Mayan 154:Khmer 106:Tamil 2764:Veii 2664:Ceri 2257:and 1823:Word 1807:ISSN 1724:zwei 1716:tvad 1667:halψ 1552:dice 1466:case 1430:100 1168:halψ 1129:śemφ 965:nurφ 886:Rome 865:and 847:100 319:Rumi 174:Thai 96:Odia 2277:Art 1932:doi 1827:doi 1740:huθ 1732:sih 1720:zal 1675:huθ 1659:zal 1655:śar 1653:or 1651:zar 1635:huθ 1624:huθ 1604:maψ 1600:zal 1596:huθ 1521:huθ 1514:sha 1506:hut 1502:huθ 1482:zal 1436:or 1419:90 1408:80 1397:70 1381:or 1375:60 1364:50 1348:or 1342:40 1331:30 1320:20 1309:19 1298:18 1287:17 1271:or 1265:16 1248:15 1232:or 1226:14 1209:13 1202:zar 1198:śar 1188:12 1174:11 1163:zar 1159:śar 1155:10 1104:or 1102:hut 1098:huθ 1084:maψ 1074:hut 1070:huθ 1065:hut 1061:huθ 1059:or 1044:?) 1040:(~ 1024:zal 1014:tun 1006:θun 844:50 841:10 827:𐌟 824:𐌣 821:𐌢 818:𐌡 815:𐌠 351:By 159:Lao 2820:: 1928:53 1926:. 1910:^ 1878:^ 1780:^ 1728:ci 1712:θu 1639:śa 1620:śa 1616:ci 1612:śa 1608:ci 1606:, 1598:, 1592:θu 1525:śa 1510:śa 1243:? 1221:? 1200:~ 1183:? 1161:~ 1145:9 1135:8 1125:7 1119:sa 1117:~ 1115:śa 1110:sa 1108:~ 1106:śa 1100:~ 1094:6 1086:~ 1080:5 1072:~ 1063:~ 1057:sa 1055:~ 1053:śa 1049:4 1042:ψi 1038:ki 1036:~ 1034:ci 1030:3 1020:2 1012:~ 1010:tu 1008:~ 1004:~ 1002:θu 998:1 919:. 895:. 838:5 835:1 416:60 411:20 406:16 401:12 396:10 26:on 2127:e 2120:t 2113:v 1997:) 1968:) 1938:. 1934:: 1829:: 1610:- 1602:– 1594:– 1512:( 1504:( 740:. 730:. 712:e 705:t 698:v 507:) 505:φ 503:( 494:) 491:i 489:2 487:( 473:) 469:( 460:) 456:( 447:) 445:1 443:( 424:) 420:( 391:8 386:6 381:5 376:4 371:3 366:2

Index

a series
Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao
Mongolian
Sundanese
Thai
Chinese
Suzhou
Hokkien
Japanese

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