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Proto-Indo-European numerals

Names of numbers in the Proto-Indo-European language From Wikipedia, the free encyclopedia

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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.

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Cardinal numbers

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The cardinal numbers are reconstructed as follows:

More information Number, Reconstruction (Sihler) ...

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."

More information PIE, English ...

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]

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Numerals as prefixes

Special forms of the numerals were used as prefixes, usually to form bahuvrihis (like five-fingered in English):

More information Number, Prefix (Fortson) ...

Ordinal numbers

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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 aṣṭa- "eighth" and Lithuanian deviñtas "ninth".

Reflexes

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Reflexes, or descendants of the PIE reconstructed forms in its daughter languages, include the following.

Reflexes of the cardinal numbers

More information Number, Reconstruction (Sihler) ...

In the following languages, reflexes separated by slashes mean:

Reflexes of the feminine numbers

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Reflexes of the numeral prefixes

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Reflexes of the ordinal numbers

More information Number, Reconstruction ...
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Notes

  1. 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).
  2. For example, qñnã-tba "twelve" (litt. "ten" plus "two").[8]
  3. See also: Umb peturpursus "quadruped".
  4. Cf. Thr ketri- "four".[11]
  5. See also: Osc pomp- "five".[13]
  6. See also Phry pinke "five".[14]
  7. Built upon osmŭ "eighth" < *H₁ok̂t-mo-.
  8. With nasalization after *septḿ̥ "seven".
  9. There is the possibility that Lycian sñta could mean either "ten" or "(one) hundred".[15][18]
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References

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