Numerals

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Numeral systems

Mirja has two parallel numeral systems. One is base-10, and is used for counting most things; the other is base-8, and is used primarily for measuring digital volume, though it is also sometimes used for other digital concepts. Up to 8 the two systems share numbers; at 9 they diverge and remain different beyond that point.

base-10 base-8
1 in-
2 hano
3
4
5
6
7
8
9
10
64
100
512
1000
4096

Grammatical behaviour

Individual numeral roots behave as verbs, often serialised inside a verb complex. The most basic way to count things is to simply put a numeral in the verb complex:

nhoonho suhanokuty

no-CVVCV-*

1-PL-TOP

su-hano-ku-t

walk-two-there-PFV

no-CVVCV-* su-hano-ku-t

1-PL-TOP walk-two-there-PFV

'the two of us walked there'

With transitive verbs this can be ambiguous, as there is no means to distinguish which noun the numeral is meant to count. The default interpretation is that the object is what's being counted, but this is not guaranteed, and often the referent of the numeral is simply left to context.

noorho su karuhanota

no-rV-CVVCV-*

1-OBL-PL-TOP

su

3

karu-hano-t

be.visible-two-PFV

no-rV-CVVCV-* su karu-hano-t

1-OBL-PL-TOP 3 be.visible-two-PFV

'we saw the two of them' or 'the two of us saw them'

When disambiguation is necessary, the solution is to use a relative clause with the numeral as the head verb.

noono hanollirhi su karuty

no-CVVCV

1-PL

hano-lli-rV-*

two-REL.SUBJ-OBL-TOP

su

3

karu-t

be.visible-PFV

no-CVVCV hano-lli-rV-* su karu-t

1-PL two-REL.SUBJ-OBL-TOP 3 be.visible-PFV

'the two of us saw them' (lit. 'we who are two saw them')

noorho su hanolli karuty

no-rV-CVVCV-*

1-OBL-PL-TOP

su

3

hano-lli

two-REL.SUBJ

karu-t

be.visible-PFV

no-rV-CVVCV-* su hano-lli karu-t

1-OBL-PL-TOP 3 two-REL.SUBJ be.visible-PFV

'we saw the two of them' (lit. 'we saw them who are two')

In- 'one' is also used for 'only', where the scope is clarified by focus marking; but in this role it appears in a different place in the verb template - after aspect morphology.

nota vatine

no-t

1sg-FOC

va-t-in-e

do.it-PFV-only-INV

no-t va-t-in-e

1sg-FOC do.it-PFV-only-INV

'only I did it' / 'I'm the one that did it' - cf nho vinny 'I did it alone'

This focus strategy is available for other numerals as a repair strategy when an ambiguous sentence has been spoken and the speaker needs to disambiguate. The following exchange is representative:

noorho su karuhanota

no-rV-CVVCV-*

1-OBL-PL-TOP

su

3

karu-hano-t

be-visible-two-PFV

no-rV-CVVCV-* su karu-hano-t

1-OBL-PL-TOP 3 be-visible-two-PFV

'The two of us saw them' / 'we saw the two of them'

hallity hanotewwe?

halli-t

who-FOC

hano-t-e-wwe

two-PFV-INV-Q

halli-t hano-t-e-wwe

who-FOC two-PFV-INV-Q

'who of them was the two?'

a, noonota hanote

a,

a,

no-CVVCV-t

1-PL-FOC

hano-t-e

two-PFV-INV

a, no-CVVCV-t hano-t-e

a, 1-PL-FOC two-PFV-INV

'ah, it was us that were two'

Composite numerals behave instead in a way quite unique in Mirja, where they modify the preceding noun as 'adjectives' but do not form a phonological word with the noun they modify.