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From *kakta(“two”) with a suffix (shared with *ükteksä(“nine”)) of unknown derivation and origin. There are two main theories regarding the suffix, both of which must be rejected due to various problems:
that the suffix *-eksa represents a combination of *e-(negative verb), *-k-(reflexive affix) and *-sa(n), *-se(n)(third-person reflexive suffix?) (and possibly a *-n(dual ending) in *kakteksan, but not in *ükteksä), thus originally meaning "is not there", "is non-existent", with the implication being that one or two is missing from ten, hence 10 - 2 and 10 - 1.[1] The comparison is often made with reflexive forms of the form -kse found in Finnic, but even there only in some languages. The narrow distribution makes it unlikely that such a reflexive structure would have existed and been used in numerals all the way back at the Finno-Mordvinic stage.
that the suffix is originally of the form *teksa and represents a borrowing from (a descendant of) Proto-Indo-European*déḱm̥(“ten”).[2] This etymology is phonologically dubious; the *-t- is probably rather part of *kakta,[3] and it is unlikely that an old compound "two-ten", would have come to mean "eight", not "twenty" (or even "twelve").[4] In addition, this theory suffers from chronological issues, as the vowel *-e- implies a significantly earlier date of borrowing than the consonantism of *-ks-.[5] In any case, any supposed *teksa would only be attested through this suffix and nowhere else; it pays a superficial similarity to Hungariantíz, Komi-Zyrianдас(das) and Udmurtдас(das), but these are simply separate borrowings from Iranian.
As morphologically complex numerals in descendant languages are subject to reduction (e.g. Skolt Samiõtmlo(“eleven”), from *ëktë-mumpē-n-lokā-sën, where all of the latter morphemes were reduced to simply -mlo), it seems likely that the suffix is itself reduced from an earlier form, which can possibly never be conclusively reconstructed.
Furthermore, the Finno-Volgaic numeral has been sometimes compared with Eastern Mariкандаше(kandaše) (and *ükteksä respectively with индеше(indeše)), but the Mari suffix appears to reflect an earlier form *-ndVŋs(k)ə-, which would have been formed in parallel from *kakta rather than the Finno-Mordvinic and Mari forms going back to a common proto-form.[6] Forming the numerals for eight and nine by using the numerals for two and one respectively in a subtractive fashion appears to have been a wider West Uralic phenomenon, as such derivatives are also found in the Permic languages (e.g. Komi-Zyrianкӧкъямыс(kökjamys, “eight”) from кык(kyk, “two”)).
Reconstruction
Whether a final *-n was originally part of the suffix is unclear.