Proto-Indo-European numerals
The numerals and derived numbers of the Proto-Indo-European language (PIE) have been reconstructed by modern linguists based on similarities found across all Indo-European languages. The following article lists and discusses their hypothesized forms.
Cardinal numbers
The cardinal numbers are reconstructed as follows:
Number | Reconstruction (Sihler)[1] | Reconstruction (Beekes)[2] |
---|---|---|
one | *Hoi-no-/*Hoi-wo-/*Hoi-k(ʷ)o-; *sem- | *Hoi(H)nos ; sem-/sm̥- |
two | *d(u)wo- | *du̯oh₁ |
three | *trei- (full grade) / *tri- (zero grade) | *trei̯es |
four | *kʷetwor- (o-grade) / *kʷetur- (zero grade) (see also the kʷetwóres rule) |
*kʷétu̯ōr |
five | *penkʷe | *penkʷe |
six | *s(w)eḱs; originally perhaps *weḱs | *(s)u̯éks |
seven | *septm̥ | *séptm̥ |
eight | *(h₁)oḱtṓw or *h₃eḱtō, *h₃eḱtow | *h₃eḱteh₃ |
nine | *(h₁)newn̥ | *(h₁)néun |
ten | *deḱm̥(t) | *déḱm̥t |
twenty | *wīḱm̥t-; originally perhaps *widḱomt- | *du̯idḱm̥ti |
thirty | *trīḱomt-; originally perhaps *tridḱomt- | *trih₂dḱomth₂ |
forty | *kʷetwr̥̄ḱomt-; originally perhaps *kʷetwr̥dḱomt- | *kʷeturdḱomth₂ |
fifty | *penkʷēḱomt-; originally perhaps *penkʷedḱomt- | *penkʷedḱomth₂ |
sixty | *s(w)eḱsḱomt-; originally perhaps *weḱsdḱomt- | *u̯eksdḱomth₂ |
seventy | *septm̥̄ḱomt-; originally perhaps *septm̥dḱomt- | *septm̥dḱomth₂ |
eighty | *oḱtō(u)ḱomt-; originally perhaps *h₃eḱto(u)dḱomt- | *h₃eḱth₃dḱomth₂ |
ninety | *(h₁)newn̥̄ḱomt-; originally perhaps *h₁newn̥dḱomt- | *h₁neundḱomth₂ |
hundred | *ḱm̥tom; originally perhaps *dḱm̥tom | *dḱm̥tóm |
thousand | *ǵʰeslo-; *tusdḱomti (originally "big hundred"[citation needed]) | *ǵʰesl- |
Other reconstructions typically differ only slightly from Beekes and Sihler. A nineteenth-century reconstruction (by Brugmann) for thousand is *tūsḱmtiə.[3][4] See also Fortson 2004.[5]
The elements *-dḱomt- (in the numerals "twenty" to "ninety") and *dḱm̥t- (in "hundred") are reconstructed on the assumption that these numerals are derivatives of *deḱm̥(t) "ten".
Lehmann[6] believes that the numbers greater than ten were constructed separately in the dialect groups and that *ḱm̥tóm originally meant "a large number" rather than specifically "one hundred."
PIE | English | Gothic | Latin | Ancient Greek | Sanskrit | Iranian | Slavic | Baltic | Celtic | Armenian | Albanian | Tocharian | Hittite |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
*sem- "one, together" | same (< ON samr); OE sam- "together"; [also German zusammen] | sama "same" | sem-el "once", sem-per "always", sim-plex "single, simple", sin-gulī "one each, single" | heĩs, hén, mía "one" < *sems, *sem, *smiH₂ | sam- "together", samá "same, equal, any" | Av hama-, OPers hama- "any, all"
Past sam "even, fine" |
OCS samŭ "self, alone, one" | Lith sam-, są- "with"; OPrus sa-, sen- "with, dividing" | OIr samlith "at the same time"; W hafal "equal" | mi "one" | gjithë “all” < PAlb *semdza | A sas, B ṣe "one" < *sems | |
*(h₁)óynos, (h₁)óywos "one" | one (< OE ān) | ains "one" | ūnus (archaic oinos) | oĩnos "one (on a die)", oĩ(w)os "alone" | (ēka- < *oi-ko-; Mitanni-Aryan aika-vartana "one turn (around a track)")[7] | Av aēva-, OPers aiva-, (NPers yek- "one, only, alone") | OCS inŭ "one, another" | Lith víenas, OPrus ains "one" | OIr ōen, W un "one" | andr-ēn "right there", ast-ēn "right here" | ? Gheg tânë, Tosk tërë "all" < PIE *tod-oino-; ??? një "one" < *ňân < PIE *eni-oino-[a] | B -aiwenta "group" < "*unit" | ās "one" |
*dwóh₁ , neut. *dwóy(H₁) "two" | two (< OE twā) | twái (fem. twōs, neut. twa) "two" | duo "two" | dúō "two" | dvā́(u) "two" | Av dva, fem. neut. baē "two"; NPers do "two"; Kurd diwa "two (fem.)" | OCS dŭva "two" | Lith dù, OPrus dwai "two" | OIr da, W dau (fem. dwy) "two" | erku "two" | dy "two" | A wu, B wi "two"(<PTC *tuwó) | dā-, ta-; HLuw tuwa/i- "two"; Lyc kbi- "two"; Mil tba "two"[b][9] |
*tréyes (fem. *tisres,[10] neut. *tríH₂) "three" | three (< OE þrīe) | þreis "three" | trēs "three" | treĩs "three" | tráyas (fem. tisrás) "three" | Av θrayō, θrayas (fem. tisrō, neut. θri), OPers çi-, Parth hrē "three" | OCS trĭje "three" | Lith trỹs, OPrus tris, Latg treis "three" | OIr trí (fem. téoir), W tri (fem. tair, teir) "three" | erekʿ "three" | tre masc., tri fem. "three" | A tre, B trai "three" | tri- "three"; teriyas- (gen. pl.) |
*kʷetwóres (fem. *kʷétesres, neut. *kʷetwṓr) "four" | four (< OE fēower) | fidwor "four" (In Germanic influenced by pénkʷe "five") | quattuor "four"[c] | téssares "four" | masc. catvā́ras (acc. catúras), neut. catvā́ri, fem. cátasras "four" | Av masc. čaθwārō (acc. čaturąm), fem. čataŋrō "four"; NPers čahār "four"; Kurd çwar | OCS četyre "four" | Lith keturì, OPrus ketturei "four"[d] | Gaul petuar[ios] "four"[12]
OIr ceth(a)ir (fem. cethēoir, influenced by fem. tēoir "three") "four"; W pedwar (fem. pedair) "four" |
čʿorkʿ, kʿaṙ (rare) "four | katër "four" | A śtwar, B śtwer "four" | (remodelled in Hittite and Luwian)
Lyc Teteri |
*pénkʷe "five" | five (< OE fīf) | fimf "five" | quīnque "five"[e] | pénte "five" | páñca "five"; Mitanni-Aryan panza- "five"[7] | Av panča "five"; Kurd pênc/pênz | OCS pętĭ "five" | Lith penkì, OPrus penkei "five"[f] | Gaul pinpe-, pompe "five"[12] | hing "five" | pesë "five" | A päñ, B piś "five" | Luw paⁿta "five" |
*swéḱs "six" | six (< OE siex) | sáihs "six" | sex "six" | héx, dial. wéx "six" | ṣáṣ "six" | Av xšvaš "six" | OCS šestĭ "six" | Lith šešì, OPrus uššai "six" | Celtib sues "six";[12] | vecʿ "six" | gjashtë "six" | A ṣäk, B ṣkas "six" | |
*septḿ̥ "seven" | seven (< OE seofon) | sibun "seven" | septem "seven" | heptá "seven" | saptá "seven"; Mitanni-Aryan šatta- "seven"[7] | Av hapta, NPers haft-, "seven" | OCS sedmĭ "seven" | Lith septynì, OPrus septinnei "seven" | OIr secht, W saith "seven" | eawtʿn "seven" | shtatë "seven" | A ṣpät, B ṣukt "seven" | sipta- "seven" |
*h₁oḱtṓ(w) "eight" | eight (< OE eahta) | ahtáu "eight" | octō "eight" | oktṓ "eight" | aṣṭā́(u) "eight" | Av ašta "eight" | OCS osmĭ "eight"[g] | Lith aštuonì, OPrus astonei, Latg ostoni "eight" | Gaul oxtu- "eight"[12] | utʿ "eight" | tetë "eight" < *H₁ok̂tō-t- | A okät, B okt "eight" | Lyc aitãta "eight"[15] |
*(h₁)néwn̥ "nine" | nine (< OE nigon) | niun "nine" | novem "nine" | ennéa "nine" | náva "nine" | Av nava, NPers noh- "nine" | OCS devętĭ "nine" < *newn̥-ti- (Influenced by dékm̥t "ten") | Lith devynì (influenced by dékm̥t "ten"), OPrus newinei "nine" | OIr noí n-, W naw "nine" | inn "nine" | nëntë "nine" < *newn̥-ti- | AB ñu | Lyc nuñtãta "nine"[16] |
*déḱm̥t "ten" | ten (< OE tien) | taíhun "ten" | decem "ten" | déka "ten" | dáśa "ten" | Av dasa, NPers dah- "ten" | OCS desętĭ "ten" | Lith dẽšimt, OPrus desimtan "ten" | Gaul decam- "ten";[12] | tasn "ten" | dhjetë "ten" < *dék̂m̥t-i- | A śäk, B śak "ten" | [i] |
*wídḱm̥ti(h₁) "twenty" < *dwi-dḱm̥t-i(h₁) "two tens" | (remodelled) | (remodelled) | vīgintī "twenty" | eíkosi "twenty" | viṁśatí "twenty", dviṁśatí "twenty" | Av vīsaiti, Ossetian insäi "twenty" | (remodelled) | Lith dvidešimt "twenty" | OIr fiche (fichet), OW uceint "twenty" | kʿsan "twenty" | zet "twenty" | A wiki, B ikäṃ "twenty" | |
*ḱm̥tóm "hundred" < *dḱm̥tóm | hundred (< OE hund, hund-red) | hunda (pl.) "hundred" | centum "hundred" | he-katón "hundred" | śatám "hundred" | Av satǝm "hundred" | OCS sŭto "hundred" | Lith šim̃tas, OPrus simtan "hundred" | OIr cét, W can(t) "hundred" | qind "hundred" (possibly borrowed from Latin centum) | A känt, B kante "hundred" |
Gender of numerals
The numbers three and four had feminine forms with the suffix *-s(o)r-, reconstructed as *t(r)i-sr- and *kʷetwr̥-sr-, respectively.[5]
Numerals as prefixes
Special forms of the numerals were used as prefixes, usually to form bahuvrihis (like five-fingered in English):
Number | Prefix (Fortson)[19] |
---|---|
one- (together, same) | *sm̥- |
two- | *dwi- |
three- | *tri- |
four- | *kʷ(e)tru- or *kʷetwr̥- |
Ordinal numbers
The ordinal numbers are difficult to reconstruct due to their significant variation in the daughter languages. The following reconstructions are tentative:[20]
- "first" is formed with *pr̥h₃- (related to some adverbs meaning "forth, forward, front" and to the particle *prō "forth", thus originally meaning "foremost" or similar) plus various suffixes like *-mo-, *-wo- (cf. Latin primus, Russian perv-).
- "second": The daughter languages use a wide range of expressions, often unrelated to the word for "two" (including Latin and English), so that no PIE form can be reconstructed. A number of languages use the form derived from *h₂enteros meaning "the other [of two]" (cf. OCS vĭtorŭ, Lithuanian añtras, Old Icelandic annarr, modern Icelandic annar).
- "third" to "sixth" were formed from the cardinals plus the suffix *-t(ó)-: *tr̥-t(ó)- / *tri-t(ó)- "third" etc.
- "seventh" to "tenth" were formed by adding the thematic vowel *-ó- to the cardinal: *oḱtow-ó- "eighth" etc.
The cardinals ending in a syllabic nasal (seven, nine, ten) inserted a second nasal before the thematic vowel, resulting in the suffixes *-mó- and *-nó-. These and the suffix *-t(ó)- spread to neighbouring ordinals, seen for example in Vedic aṣṭamá- "eighth" and Lithuanian deviñtas "ninth".
Reflexes
Reflexes, or descendants of the PIE reconstructed forms in its daughter languages, include the following.
Reflexes of the cardinal numbers
Number | Reconstruction (Sihler) | Reflexes[5][21] |
---|---|---|
one | *Hoi-no-[22] | Alb. njã > një (dialectal nji/njo), Lith. vienas, Latv. viens, Gaul. oinos, Gm. ein/eins, Eng. ān/one, Gk. οἶος oîos, Av. aēuua, Ir. óin/aon, Kashmiri akh, Lat. ūnus, Roman. unu, Osc. uinus, OCS edinŭ, ON einn, OPruss. aīns, Osset. iu/ieu, Pers. aiva-/yek, Kamviri ev, Pol. jeden, Russ. odin, Ved. aika, Umbr. uns, Goth. ains, Welsh un, Kurdish (Kurmanji) yek/êk |
*sem-[23] | Arm. mi/mek/meg, Alb. gjithë, Lith. sa, sav-as, Eng. sum/some, Gm. saman/zusammen, Gk. εἷς heîs, Hitt. san, Av. hakeret, Ir. samail/samhail, Lat. semel, Lyc. sñta, Kamviri sâ~, Pers. hama/hamin, Russ. odin, yedin, perviy Ved. sakŕ̥t, Toch. sas/ṣe, Welsh hafal, ON sami, Goth. sama | |
two | *du(w)o-[24] | Hitt. dā-, Luv. tuwa/i-, Lyc. kbi-, Mil. tba-, Ved. dvā(u), Av. duua, Pers. duva/do, Osset. dyuuæ/duuæ, Kashmiri zū', Kamviri dü, Gk. δύο dúo, Lat. duō, Osc. dus, Umbr. tuf, Roman. doi, ON tveir, Goth. twai, Eng. twā/two, Gm. zwêne/zwei, Gaul. vo, Ir. dá/dó, Welsh dau, Arm. erkow/yerku/yergu, Toch. wu/wi, OPruss. dwāi, Latv. divi, Lith. dù, OCS dŭva, Pol. dwa, Russ. dva, Alb. dy;di/dy;dў, Kurdish (Kurmanji) du |
three | *trei-[25] | Hitt. teriyaš (gen. pl.), Lyc. trei, Ved. tráyas, Av. θrāiiō, Pers. çi/se, Osset. ærtæ/ærtæ, Kashmiri tre, Kamviri tre, Gk. τρεῖς treîs, Lat. trēs, Osc. trís, Umbr. trif, Roman. trei, ON þrír, Goth. þreis, Eng. þrēo/three, Gm. drī/drei, Gaul. treis, Ir. treí/trí, Welsh tri, Arm. erek῾/yerek῾/yerek῾, Toch. tre/trai, OPruss. tri, Latv. trīs, Lith. trỹs, OCS trije, Pol. trzy, Russ. tri, Alb. tre/tre. Kurdish (Kurmanji) sê |
four | *kʷetwor-[26] | Lyc. teteri, Ved. catvāras, Av. caθuuārō, Pers. /čahār, Osset. cyppar/cuppar, Kashmiri tsor, Kamviri što, Gk. τέτταρες téttares, Lat. quattuor, Osc. petora, Roman. patru, Umbr. petor, ON fjórir, Goth. fidwor, Eng. fēower/four, Gm. feor/vier, Gaul. petor, Ir. cethir/ceathair, Welsh pedwar, Arm. čork῾/čors/čors, Toch. śtwar/śtwer, OPruss. keturjāi, Latv. četri, Lith. keturì, OCS četyre, Pol. cztery, Russ. četyre, Alb. katër;katrë/katër, Kurdish (Kurmanji) çar |
five | *pénkʷe[27] | Luv. panta, Ved. pañca, Av. panca, Pers. panča/panj, Osset. fondz/fondz, Kashmiri pā.~tsh Kamviri puč, Gk. πέντε pénte, Lat. quīnque, Roman. cinci, Osc. pompe, Umbr. pumpe, ON fimm, Goth. fimf, Eng. fīf/five, Gm. fimf/fünf, Gaul. pempe, Ir. cóic/cúig, Welsh pump, Arm. hing/hing/hink, Toch. päñ/piś, OPruss. pēnkjāi, Latv. pieci, Lith. penkì, OCS pętĭ, Pol. pięć, Russ. pjat', Alb. pesë/pes(ë);pês, Kurdish (Kurmanji) pênc |
six | *s(w)eḱs[28] | Ved. ṣáṣ, Av. xšuuaš, Pers. /šeš, Osset. æxsæz/æxsæz, Kashmiri śe, Kamviri ṣu, Gk. ἕξ héx, Lat. sex, Osc. sehs, Umbr. sehs, ON sex, Goth. saíhs, Eng. siex/six, Gm. sëhs/sechs, Gaul. suex, Ir. sé/sé, Welsh chwech, Arm. vec῾/vec῾/vec῾, Toch. ṣäk/ṣkas, OPruss. usjai, Latv. seši, Lith. šešì, OCS šestĭ, Pol. sześć, Roman. șase, Russ. šest', Alb. gjashtë/gjasht(ë);xhasht, Kurdish (Kurmanji) şeş |
seven | *septm̥[29] | Hitt. šipta-, Ved. saptá, Av. hapta, Pers. hafta/haft, Osset. avd/avd, Kashmiri sath, Kamviri sut, Gk. ἑπτά heptá, Lat. septem, Osc. seften, Roman. șapte, ON sjau, Goth. sibun, Eng. seofon/seven, Gm. sibun/sieben, Gaul. sextan, Ir. secht/seacht, Welsh saith, Arm. ewt῾n/yot῾/yot῾ě, Toch. ṣpät/ṣukt, OPruss. septīnjai, Lith. septynì, Latv. septiņi, OCS sedmĭ, Pol. siedem, Russ. sem', Alb. shtatë/shtat(ë), Kurdish (Kurmanji) heft |
eight | *h₃eḱtō[30] | Lyc. aitãta-,[31] Ved. aṣṭā(u), Av. ašta, Pers. ašta/hašt, Osset. ast/ast, Kashmiri ā.ṭh, Kamviri uṣṭ, Gk. ὀκτώ oktṓ, Lat. octō, Roman. opt, Osc. uhto, ON átta, Goth. ahtau, Eng. eahta/eight, Gm. ahto/acht, Gaul. oxtū, Ir. ocht/ocht, Welsh wyth, Arm. owt῾/ut῾ě, Toch. okät/okt, OPruss. astōnjai, Latv. astoņi, Lith. aštuonì, OCS osmĭ, Pol. osiem, Russ. vosem', Alb. tëte/tet(ë), Kurdish (Kurmanji) heşt |
nine | *(h₁)newn̥[32] | Lyc. ñuñtãta-,[33] Ved. nava, Av. nauua, Pers. nava/noh, Kashmiri nav, Kamviri nu, Gk. ἐννέ(ϝ)α enné(w)a, Lat. novem, Osc. nuven, Umbr. nuvim, Roman. nouă, ON níu, Goth. niun, Eng. nigon/nine, Gm. niun/neun, Gaul. navan, Ir. nói/naoi, Welsh naw, Arm. inn/inn/inně, TochA. ñu, OPruss. newīnjai, Latv. deviņi, Lith. devynì, OCS devętĭ, Pol. dziewięć, Russ. devjat', Alb. nëntë/nëndë/nând(ë);non(t), Kurdish (Kurmanji) neh, no |
ten | *deḱm̥(t)[34] | Ved. dáśa, Av. dasa, Pers. daθa/dah, Osset. dæs/dæs, Kashmiri da.h, Kamviri duc, Gk. δέκα déka, Lat. decem, Osc. deken, Umbr. desem, Roman. zece, ON tíu, Goth. taíhun, Eng. tīen/ten, Gm. zëhen/zehn, Gaul. decam, Ir. deich/deich, Welsh deg, Arm. tasn/tas/dasě, Toch. śäk/śak, OPruss. desīmtan, Latv. desmit, Lith. dẽšimt, OCS desętĭ, Pol. dziesięć, Russ. desjat', Alb. dhjetë/dhet(ë), Kurdish (Kurmanji) deh, de |
twenty | *wīḱm̥t- | Ved. viṁśatí-, Av. vīsaiti, Pers. /bēst, Kashmiri vuh, Kamviri vici, Doric ϝίκατι wíkati, Lat. vīgintī, Gaul. vocontio, Ir. fiche/fiche, M. Welsh ugein(t), Arm. k῾san/k῾san/k῾san, Toch. wiki/ikäṃ, Lith. dvi-de-šimt, Alb. njëzet/njizet, Kurdish (Kurmanji) bîst |
thirty | *trīḱomt- | Skr. triṅśat, Gk. τριάκοντα triákonta, Lat. trīgintā, Ir. trícho/tríocha, Lith. tris-de-šimt[citation needed], Kurdish (Kurmanji) sih, sî |
forty | *kʷetwr̥̄ḱomt- | Skr. catvāriṅśat, Gk. τεσσαράκοντα tessarákonta, Lat. quadrāgintā, Ir. cethorcho/ceathracha, Lith. keturias-de-šimt[citation needed], Kurdish (Kurmanji) çil |
fifty | *penkʷēḱomt- | Skr. pañcāśat, Gk. πεντήκοντα pentḗkonta, Lat. quinquāgintā, Ir. coíca/caoga, Lith. penkias-de-šimt[citation needed], Kurdish (Kurmanji) pênceh, pêncî |
sixty | *s(w)eḱsḱomt- | Skr. ṣaṣṭih, Gk. ἑξήκοντα hexḗkonta, Lat. sexāgintā, Ir. sesca/seasca, Lith. šešias-de-šimt, Russ. šest'desjat[citation needed], Kurdish (Kurmanji) şêst |
seventy | *septm̥̄ḱomt- | Skr. saptatih, Gk. ἑβδομήκοντα hebdomḗkonta, Lat. septuāgintā, Ir. sechtmoga/seachtó, Lith. septynias-de-šimt, Russ. sem'desjat[citation needed], Kurdish (Kurmanji) heftê |
eighty | *h₃eḱtō(u)ḱomt- | Skr. aśītih, Gk. ὀγδοήκοντα ogdoḗkonta, Lat. octōgintā, Ir. ochtmoga/ochtó, Lith. aštuonias-de-šimt, Russ. vosem'desjat[citation needed], Kurdish (Kurmanji) heştê |
ninety | *(h₁)newn̥̄ḱomt- | Skr. navatih, Gk. ἐνενήκοντα enenḗkonta, Lat. nōnāgintā, Ir. nócha/nócha, Lith. devynias-de-šimt, Russ. devjanosto[citation needed], Kurdish (Kurmanji) not, newet |
hundred | *ḱm̥tom[35] | Ved. śatám, Av. satəm, Roman. sută, Pers. /sad, Osset. sædæ, Kashmiri śath, Gk. ἑκατόν hekatón, Lat. centum, ON hundrað, Goth. hund, Eng. hundred/hundred, Gm. hunt/hundert, Gaul. cantam, Ir. cét/céad, Welsh cant, Toch. känt/kante, Latv. simts, Lith. šim̃tas, OCS sŭto, Pol. sto, Russ. sto/sotnja, Kurdish (Kurmanji) sed |
thousand | *(sm̥-)ǵʰéslo- | Skr. sahasram, Av. hazarəm, Pers. /hazār, Gk. χίλιοι khílioi, Lat. mīlle, Kurdish (Kurmanji) hezar |
*tusdḱomti | ON þúsund, Goth. þūsundi, Eng. þūsend/thousand, Gm. þūsunt/tausend, TochA. tmāṃ, TochB. tmāne/tumane, Lith. tūkstantis, Latv. tūkstots, OCS tysǫšti, Pol. tysiąc, Russ. tys'ača | |
*wel-tyo-[36] | Toch. wälts/yaltse; OCS velьjь/velikъ |
In the following languages, reflexes separated by slashes mean:
- Albanian: Tosk Albanian / Gheg Albanian
- Armenian: Classical Armenian / Eastern Armenian / Western Armenian
- English: Old English / Modern English
- German: Old High German / New High German
- Irish: Old Irish / Modern Irish
- Ossetic: Iron / Digor
- Persian: Old Persian / Modern Persian
- Tocharian: Tocharian A / Tocharian B
Reflexes of the feminine numbers
Number | Reconstruction | Reflexes[5] |
---|---|---|
three | *t(r)i-sr- | Ved. tisrás, Av. tišrō, Gaul. tidres, Ir. teoir/? |
four | *kʷetwr̥-sr- | Ved. cátasras, Av. cataŋrō, Lith. keturios, Ir. cetheoir/? |
Reflexes of the numeral prefixes
Number | Reconstruction | Reflexes (with examples)[19][37] |
---|---|---|
one- (together, same) | *sm̥- | Ved. sa-kŕ̥t "once", Gk. ᾰ̔πλόος haplóos "one-fold, simple", Lat. sim-plex "one-fold" |
two- | *dwi- | Ved. dvi-pád- "two-footed", Gk. dí-pod- "two-footed", Archaic Lat. dui-dent "a sacrificial animal with two teeth", Lith. dvi-kojis "two-footed" |
three- | *tri- | Ved. tri-pád- "three-footed", Gk. trí-pod- "three-footed (table)", Lat. tri-ped- "three-footed", Lith. tri-kojis "three-footed", Gaul. tri-garanus "having three cranes", Alb. tri-dhjetë "thirty" (three ten) |
four- | *kʷ(e)tru- | Ved. cátuṣ-pád- "four-footed", Av. caθru-gaoša- "four-eared", Gk. tetrá-pod- "four-footed", Lat. quadru-ped- "four-footed", Lith. ketur-kojis "four-footed" |
Reflexes of the ordinal numbers
Number | Reconstruction | Reflexes |
---|---|---|
first | *pr̥h₃-wó- | Ved. pūrviyá-, Lat. prīvus, OCS prĭvŭ,[20] Pol. pierwszy, Russ. pervyj, Toch. parwät/parwe |
*pr̥h₃-mó- | Goth. fruma, Lith. pìrmas,[20] Latv. pirmais, Lat. prīmus, Osc. perum | |
other forms | Eng. fyrst/first,[20] Hitt. para, Lyc. pri, Av. pairi, vienet-as, paoiriia,
Osset. fyccag, farast/farast, Kamviri pürük, Gk. πρῶτος prôtos, Umbr. pert, ON fyrstr, Gm. furist/Fürst "prince, ruler"; fruo/früh "early", | |
second | *(d)wi-teró- | Skr. dvitīya, Gk. δεύτερος deúteros, Russ. vtoroj[citation needed] |
third | *tri-t(y)ó- | Ved. tr̥tīya-, Gk. τρίτος trítos, Lat. tertius,[20]
Alb. (i) tretë, Lith. trečias < *tretias, Russ. tretij[citation needed] |
fourth | *kʷetwr̥-tó- | Gk. τέταρτος tétartos, Eng. feorþa/fourth, OCS četvrĭtŭ,[20]
Alb. (i) katërt, Lat. quārtus, Lith. ketvirtas, Russ. chetv'ortyj[citation needed] |
fifth | *penkʷ-tó- | Av. puxδa-, Gk. πέμπτος pémptos,[20]
Lat. quīntus, Alb. (i) pestë, Lith. penktas, Russ. p'atyj[citation needed] |
sixth | *sweḱs-tó- | Gk. ἕκτος héktos, Lat. sextus,[20]
Alb.(i) gjashtë, Lith. šeštas, Russ. šestoj[citation needed] |
seventh | *septm̥-(m/t)ó- | Gk. ἕβδομος hébdomos, Lat. septimus, OCS sedmŭ,[20]
Lith. sẽkmas (then displaced by the neologism "septintas") Russ. sed'moj[citation needed] |
eighth | *h₃eḱtōw-ó-s | Gk. ὄγδο(ϝ)ος ógdo(w)os, Lat. octāvus,[20]
Russ. vos'moj |
*oḱtm-o-s? | Lith. ašmas (then displaced by the neologism "aštuntas") | |
ninth | *(h₁)newn̥-(n/t)ó- | Lat. nōnus,[20] |
tenth | *deḱm̥-(m/t)ó- | Ved. daśamá-, Av. dasəma-, Lat. decimus,[20]
Gk. δέκατος dékatos, Lith. dešimtas, Russ. desjatyj[citation needed] |
Notes
- ^ All suggested etymologies of një "one" are highly speculative, at best. This etymology is one of two given by E. Hamp in Indo-European Numerals (Jadranka Gvozdanović, ed., 1992), pp. 903-904; the other is simply from PIE *eni- (or H₂en-), a PIE deictic particle visible in Sanskrit anyá- "the other", OCS onŭ "that one", Lithuanian anàs "that one". Michiel de Vaan, in a review of Demiraj's Sistemi i numerimit, suggests PIE *H₂en-io-no- > pre-Proto-Albanian *ëńán > Proto-Albanian *ńâ > një. M. Huld (Basic Albanian Etymologies, p. 101) attempts to derive një from PIE *sm-iH₂, feminine of *sem "one" and reflected in Ancient Greek mía; this etymology is also tentatively suggested in Don Ringe et al. "IE and Computational Cladistics", p. 75 (Transactions of the Philological Society 100, 2002).
- ^ For example, qñnã-tba "twelve" (litt. "ten" plus "two").[8]
- ^ See also: Umb peturpursus "quadruped".
- ^ Cf. Thr ketri- "four".[11]
- ^ See also: Osc pomp- "five".[13]
- ^ See also Phry pinke "five".[14]
- ^ Built upon osmŭ "eighth" < *H₁ok̂t-mo-.
- ^ With nasalization after *septḿ̥ "seven".
- ^ There is the possibility that Lycian sñta could mean either "ten" or "(one) hundred".[15][18]
References
- ^ Sihler (1995:402–24)
- ^ Beekes (1995:212–16)
- ^ Brugmann (1892:48)
- ^ Meillet:372)
- ^ a b c d Fortson (2004:131)
- ^ Lehmann (1993:252–255)
- ^ a b c Fournet, Arnaud (2010). "About the Mitanni Aryan gods". Journal of Indo-European Studies. 38 (1–2): 26-27.
- ^ Shevoroshkin, Vitaly. "Anatolian laryngeals in Milyan". In: The Sound of Indo-European: Phonetics, Phonemics, and Morphophonemics. Edited by Benedicte Nielsen Whitehead. Museum Tusculanum Press. 2012. p. 481. ISBN 978-87-635-3838-1
- ^ Kassian, Alexei. "Anatolian *meyu- ‘4, four’ and its cognates". In: Journal of Language Relationship 2 (2009). pp. 68 (footnote nr. 9), 69.
- ^ Accent location unknown.
- ^ Duridanov, Ivan (1985). Die Sprache der Thraker. Bulgarische Sammlung (in German). Vol. 5. Hieronymus Verlag. p. 60. ISBN 3-88893-031-6.
- ^ a b c d e Blažek, Václav (2008). "Gaulish language". Sborník prací Filozofické fakulty brněnské univerzity. N, Řada klasická. 57 (13): 37–65. hdl:11222.digilib/114125.
- ^ HOLMER, N. M. (1990), “The semantics of numerals”. In: Fontes linguae vasconum, 22: 16.
- ^ Woudhuizen, Fred C. "Phrygian & Greek" (PDF). Talanta. XL–XLI (2008–2009): 187–217.
- ^ a b Melchert, H. Craig (1989). "New Luvo-Lycian Isoglosses". Historische Sprachforschung. 102 (1): 23–45. JSTOR 40848962.
- ^ "This numeral ... is obviously derived from the word for "nine". (...) The etymological connection with PIE *newn ... is evident ...". Eichner, Heiner. "Anatolian". In: Gvozdanovic, Jadranka (ed.). Indo-European numerals. Trends in linguistics: Studies and monographs n. 57. Berlin; New York: Mouton de Gruyter. 1991. p. 87. ISBN 3-11-011322-8
- ^ Wodtko, d. S. "Remarks on Celtiberian Etymology". In: Villar, Francisco y Beltrán, Francisco (eds.). Pueblos, lengua y escrituras en la Hispania Prerromana. Actas del VII Coloquio sobre lenguas y culturas paleohispánicas (Zaragoza, 12 a 15 de Marzo de 1997). Ediciones Universidad Salamanca. 1999. p. 734. ISBN 84-7800-094-1
- ^ Anthony, David W. (2007). The Horse, the Wheel, and Language: How Bronze-Age Riders from the Eurasian Steppes Shaped the Modern World. Princeton University Press. p. 28. ISBN 978-1-4008-3110-4
- ^ a b Fortson (2004:131–132)
- ^ a b c d e f g h i j k l Fortson (2004:132)
- ^ Gvozdanovic (1991)
- ^ Blažek, Václav. "Indo-European "one" and "first"". In: Sborník prací Filosofické fakulty Brněnské university, A 47. Brno: MU, 1999. p. 7-27. A 47. ISBN 80-210-2098-9.
- ^ de Vaan, Michiel. "Proto-Indo-European *sm and *si 'one'". In: The Precursors of Proto-Indo-European. Leiden, The Netherlands: Brill|Rodopi, 2019. pp. 203–218. doi: https://doi.org/10.1163/9789004409354_015
- ^ Blažek, Václav. "Indo-European "two"". In: Sborník prací Filosofické fakulty brněnské university. Brno: Masarykova universita, 1998. p. 5-25. A 46. ISBN 80-210-1796-1.
- ^ Blažek, Václav. "Indo-European "three"". In: Lingua Posnaniensis, Polsko: neznámý, 1998, vol. 40, No 1, p. 33-45. ISSN 0079-4740.
- ^ Blažek, Václav. "Indo-European "four"." In: Indogermanische Forschungen, Berlin: Walter de Gruyter, 1998, vol. 103, No 1, p. 112-134. ISSN 0019-7262.
- ^ Blažek, Václav. "Indo-European "five"". In: Indogermanische Forschungen, Berlin-NY: Walter de Gruyter, 2000, vol. 105, No 1, p. 102-120. ISSN 0019-7262.
- ^ Blažek, Václav. "Indo-European "six"". In: Sborník prací Filosofické fakulty brněnské university. Brno: Masarykova universita, 2000. p. 5-18. A 48. ISBN 80-210-2350-3.
- ^ Blažek, Václav. "Indo-European 'Seven'". In: Journal of Indo-European Studies, Monograph Series 22 (1997): 9-29.
- ^ Blažek, Václav. "Indo-european "eight"". In: Historische Sprachforschung. SRN: neznám, 1998, vol. 111, No 1, p. 209-224. ISSN 0935-3518.
- ^ Craig Melchert stated: "Meriggi, 'Fs Hirt' 266, suggests 'eighty' and 'ninety' respectively for aitãta and nuñtata ... 'Eight' and 'nine' are not only more reasonable contextually ... The remaining *aita- and *nuñta- may be derived from *ok̂tō and *néwn̥ ... " Melchert, H. Craig. "New Luvo-Lycian Isoglosses". In: Historische Sprachforschung. 102 Band. 1 Heft. Vandenhoeck & Ruprecht. 1989. pp. 24-25. ISSN 0935-3518
- ^ Blažek, Václav. "Indo-European "nine"". In: Historische Sprachforschung. Göttingen: Vanderhoeck & Ruprecht, 1999. vol. 112, No 2, p. 188-390. ISSN 0935-3518.
- ^ "This numeral ... is obviously derived from the word for "nine". (...) The etymological connection with PIE *newn ... is evident ...". Eichner, Heiner. "Anatolian". In: Gvozdanovic, Jadranka (ed.). Indo-European numerals. Trends in linguistics: Studies and monographs n. 57. Berlin; New York: Mouton de Gruyter. 1991. p. 87. ISBN 3-11-011322-8
- ^ Blažek, Václav. "Indo-European "ten"". In: Bygone voices reconstructed. On language origins and their relationships: In honor of Aharon Dolgopolski. Ed. by Vitalij V. Shevoroshkin & Harald U. Sverdrup. Copenhagen: Underskoven Publishers ApS, 2009. pp. 113-123. ISBN 978-87-91947-33-9.
- ^ Blažek, Václav. "Indo-European "hundred"". In: History of Language. Melbourne: Association for the History of Language, 1999, 5.2, No 2, p. 71-82. ISSN 1441-5542.
- ^ Douglas Q. Adams, A Dictionary of Tocharian B, 2nd ed., 2013, ISBN 9401209367 s.v. yaltse
- ^ Fortson (2004:120)
Bibliography
- Beekes, Robert S. P. (1995), Comparative Indo-European Linguistics: An Introduction, J. Benjamins Pub., ISBN 1-55619-505-2
- Brugmann, Karl (1892), Grundriß der vergleichenden Grammatik der indogermanischen Sprachen, vol. II/2
- Fortson, Benjamin W. IV (2004), Indo-European Language and Culture, Blackwell Publishing, ISBN 1-4051-0316-7
- Gvozdanovic, Jadranka (1991), Indo-European Numerals, Walter de Gruyter, ISBN 3-11-011322-8
- Lehmann, Winfried P. (1993), Theoretical Bases of Indo-European Linguistics, London: Routledge, ISBN 0-415-08201-3
- Meillet, Antoine, MSL XIV [clarification needed]
- Sihler, Andrew L. (1995), New Comparative Grammar of Greek and Latin, Oxford University Press, ISBN 0-19-508345-8
Further reading
- Bammesberg, Alfred (1995). "Latin quattuor and Its Prehistory". In: Journal of Indo-European Studies (JIES) 23 (1-2): 213–222.
- Beekes, Robert S. P. (1987). "The Word for 'Four' in Proto-Indo-European". In: Journal of Indo-European Studies (JIES) 15 (1/2): 215–219.
- Bomhard, Allan. "Some thoughts on the Proto-Indo-European cardinal numbers". In: In Hot Pursuit of Language in Prehistory: Essays in the four fields of anthropology. In honor of Harold Crane Fleming. Edited by John D. Bengtson. John Benjamins Publishing Company, 2008. pp. 213-221. 10.1075/z.145.18bom.