The rules for the formation of complex cardinal numerals are rather complicated and often leave room for alternative options. Three processes can be involved; cf. Booij (2010:§8). The first is derivation, i.e. cases where the complex form is derived by a bound morpheme. This is mainly used for the formation of cardinals from 20 to 90, corresponding to multiples of 10; this is illustrated by the two examples in (12a). At first glance, the second process seems to involve compounding, forming complex cardinals from simpler ones that can occur independently. However, we will see that at least some of these complex forms can plausibly be analyzed as phrases, which is also reflected in the orthographic rules: for instance, the examples in (12b) show that some of these complex cardinals are normally written as a single word, while others are written as separate words. Finally, complex cardinals can be formed by the conjunction-like linking element enand/plus, as in (12c). Although this process results in formations that are phrase-like, the orthographic rules require that a complex form be written as a single word if it refers to a number below 100, which may be related to the fact that the linking element en is obligatory in such cases. The complex cardinals above 100, on the other hand, are written as separate words, which may be related to the fact that the conjunction-like element en is optional in such cases.
12
a. | | Derivation: vijf-tig (50), zes-tig (60) |
b. | | Compounding: vijf-tien (15), vijf-honderd (500), zes miljoen (6,000,000) |
c. | | Linking: vijfenvijftig (55), honderd (en) vijf (105) |
Table (13) provides the cardinals from 0 to 19 and the multiples of 10 from 20 to 90. The first and second columns show that the cardinals corresponding to 0 to 12 (given in small caps) are all simple forms. The remaining cardinals are complex and based on (an allomorph of) the simple cardinals 2 to 9. The cardinals corresponding to 13 to 19 are compound-like: they are of the form n-tien and express addition (i.e. n + 10). The cardinals expressing multiples of 10 are formed with the suffix -tig. The allomorphs of the simple cardinals corresponding to 2 to 4 (given in italics) are twin-, der- and veer-; these bound morphemes occur only in the cardinals given here and their derivatives. Note that the cardinal tachtigeighty is special in that the first morpheme has a /t/ in the onset, which is not found in the simplex form achteight and the complex form achttieneighteen. The rules underlying the formation of the complex forms in the second and third columns are unproductive; we are dealing with closed sets. We can therefore be confident that all the forms in Table (13) are listed in the lexicon; cf. Heeroma (1948) and Booij (2010:204).
13 Cardinal numerals 0 to 19; multiples of 20
simple cardinal (sn) | addition: sn + 10 | multiplication: sn x 10 |
0 | nul | 10 | tien | | |
1 | één | 11 | elf | | |
2 | twee | 12 | twaalf | 20 | twin-tig |
3 | drie | 13 | der-tien | 30 | der-tig |
4 | vier | 14 | veer-tien | 40 | veer-tig |
5 | vijf | 15 | vijf-tien | 50 | vijf-tig |
6 | zes | 16 | zes-tien | 60 | zes-tig |
7 | zeven | 17 | zeven-tien | 70 | zeven-tig |
8 | acht | 18 | acht-tien | 80 | tacht-ig |
9 | negen | 19 | negen-tien | 90 | negen-tig |
The above discussion suggests that -tig is a bound morpheme, but this may not be entirely accurate, as tig is also used independently in colloquial speech as a cardinal numeral denoting an indefinite, large quantity; it also has an ordinal counterpart, which occurs especially frequently with the noun keertime; cf. also Haeseryn et al. (1997:442) and Kobele & Zimmermann (2012:238) on German zig.
14
a. | | Marie | heeft | tig boeken. |
| | Marie | has | tons of books |
b. | | Dit | is al | de | tigste | keer | dat | hij | dat | doet. |
| | this | is already | the | tigste | time | that | he | that | does |
| | 'This is the umpteenth time he does that.' |
However, it is unclear whether this is really the same element as the bound morpheme -tig in Table (13), since this element is pronounced with schwa (/ə/) while the word-like element tig in (14) is pronounced with /i/; cf. Booij (2010:196).
The remaining cardinals from 20 to 100 are all phrase-like and are built by combining one of the cardinals from 1 to 9 and one of the forms in the third column of Table (13) with the conjunction-like linking element en, which expresses addition. We have already mentioned that these combinations are written as single words; the orthographic system apparently treats them as compounds employing the “linking” morpheme -en-. Examples with the cardinal éénone and negen ‘nine are given in the second and third columns of Table (15); all other cases follow the same pattern, with the “added” simplex cardinal preceding the derived cardinal (in contrast to English, which has the reverse order without a linking element).
15 Cardinal numerals from 20 to 100
multiplication | addition: sn + sn-tig | addition: sn + sn-tig |
20 | twin-tig | 21 | éénentwintig | 29 | negenentwintig |
30 | der-tig | 31 | éénendertig | 39 | negenendertig |
40 | veer-tig | 41 | éénenveertig | 49 | negenenveertig |
50 | vijf-tig | 51 | éénenvijftig | 59 | negenenvijftig |
60 | zes-tig | 61 | éénenzestig | 69 | negenenzestig |
70 | zeven-tig | 71 | éénenzeventig | 79 | negenenzeventig |
80 | tacht-ig | 81 | éénentachtig | 89 | negenentachtig |
90 | negen-tig | 91 | éénennegentig | 99 | negenennegentig |
Cardinals expressing numbers above 100 can also employ the additive linking element en, but now the “added” smaller number does not precede the cardinal expressing the higher “round” figure, but follows it (as in English). Some random examples involving the numbers between 100 and 200 are given in (16): the linking element is usually optional and the “added” number can go up to 99 in the form discussed earlier. We will return to the use of the additive linking element en in the formation of cardinals expressing higher numbers later in this section.
16
a. | | honderd (en) vier |
| | hundred and four |
b. | | honderd (en) twintig |
| | hundred and twenty |
c. | | honderd (en) negenennegentig |
| | hundred and ninety-nine |
c'. | * | negenennegentig en honderd |
Booij (2010:204) found that the forms in the second and third columns of Table (15) and the examples in (16) do not only differ in the relative order of the linked cardinals. For example, the linking elements en used in the two cases differ phonetically: en is pronounced with a schwa in the forms listed in Table (15), while it is pronounced as /ε/ in the forms in (16a-c). Furthermore, the rule underlying the complex forms in Table (15) is unproductive (again, we are dealing with a closed set), while the rule underlying the complex forms in (16a-c) is highly productive, as we will see later in this section. Booij therefore concludes that the former are lexical units, while the latter are morphosyntactic (i.e. phrasal) in nature. More evidence for this conclusion will be provided later in this section; cf. the discussion of (29) and (30).
The first column of Table (17) gives the names of the cardinals corresponding to 10 to the power of 2, 3, 6, 9, and 12. There are names for larger numbers, but these are not often found in colloquial speech; cf. Heeroma (1948). Cardinals that refer to multiples of these numbers are again compound-like and are usually formed by placing one of the cardinals between 0 and 999 in front of the cardinals in the first column of table (17). Some examples are given in the second and third columns.
17 Higher cardinal numerals (round figures)
102 | honderd | 2∙102 | tweehonderd | 12∙102 | twaalfhonderd |
103 | duizend | 2∙103 | tweeduizend | 500∙103 | vijfhonderdduizend |
106 | miljoen | 2∙106 | twee miljoen | 500∙106 | vijfhonderd miljoen |
109 | miljard | 2∙109 | twee miljard | 500∙109 | vijfhonderd miljard |
1012 | biljoen | 2∙1012 | twee biljoen | 500∙1012 | vijfhonderd biljoen |
So far this section has shown that the formation of complex cardinals is based on the arithmetic operations of addition and multiplication. The cardinals for the numbers 1 to 12 as well as honderd etc. in the first column of Table (17) are simplex, while the remainder are complex words and sometimes even syntactic phrases. The linguistic operations involved in the formation of complex cardinals are given in (18).
18
a. | | derivation with ‑tig (multiplication): vijf-tig [5 x 10] |
b. | | compounding/conjunction with en (addition): |
| | (i) 21-99, e.g. vijfentwintig [5 + 20] |
| | (ii) greater than 100, e.g. honderd en vijf [100 + 5]; honderd en vijfentwintig [100 + (5+20)] |
c. | | compounding/juxtaposition (multiplication or addition): |
| | (i) 13-19, e.g. vijftien [5 +10] |
| | (ii) greater than 100, e.g. honderdvijf [100 + 5]; honderdvijftien [100 + (5 +10)] |
| | (iii) multiples of 10n: e.g. vijfhonderd [5x102]; vijfduizend [5x103]; vijf miljoen [5x106], vijfhonderd miljoen [(5x100) x 106] etc. |
We conclude this section with four additional remarks about the form variation found with higher cardinals.
[+] 1. Cardinal numerals corresponding to multiples of 100 between 1,000 and 10,000
Most of the cardinal numerals corresponding to the multiples of 100 between 1,000 and 10,000 can be realized in more than one way. One way is to use a compound that takes -honderd as its second member: in colloquial speech, this is the only (or at least highly preferred) option for the multiples of 100 between 1100 and 2000.
Alternative forms are regularly used for multiples of 100 between 2,000 and 10,000, as can be seen by the fact that the more common forms in the primeless examples of (20) alternate with the forms in the primed examples. Note that the primed examples express addition even though the additive element en is usually absent.
20
a. | | vijfentwintighonderd |
| | twenty.five-hundred |
a'. | | tweeduizend vijfhonderd |
| | two-thousand five.hundred |
b. | | drieënveertighonderd |
| | fourty.three-hundred |
b'. | | vierduizend driehonderd |
| | four.thousand three.hundred |
c. | | vierentachtighonderd |
| | eighty.four-hundred |
c'. | | achtduizend vierhonderd |
| | eight.thousand four.hundred |
d. | | tweeënnegentighonderd |
| | ninety.two-hundred |
d'. | | negenduizend tweehonderd |
| | nine.thousand two.hundred |
This alternation is not normally found in colloquial speech for the numbers 2100, 3100, etc. These numbers are usually expressed by the regular compound with -honderd; using the forms in the primed examples of (21) seems possible, provided the cardinal één is included, although it still feels emphatic and artificial.
21
a. | | éénentwintighonderd |
| | twenty.one-hundred |
a'. | | tweeduizend *(één) honderd |
| | two.thousand one hundred |
b. | | éénendertighonderd |
| | thirty.one-hundred |
b'. | | drieduizend *(één) honderd |
| | three.thousand one hundred |
c. | | éénenveertighonderd |
| | forty.one-hundred |
c'. | | vierduizend *(één) honderd |
| | four.thousand one hundred |
Compounds with -honderd are never used for multiples of 1000; cf. (22).
22
a'. | * | tienhonderd |
| | ten.hundred |
b. | | tweeduizend |
| | two.thousand |
b'. | * | twintighonderd |
| | twenty.hundred |
c. | | drieduizend |
| | three.thousand |
c'. | * | dertighonderd |
| | thirty.hundred |
d. | | tienduizend |
| | ten.thousand |
d'. | * | honderdhonderd |
| | hundred.hundred |
e. | | elfduizend |
| | eleven.thousand |
e'. | * | honderdtienhonderd |
| | hundred.ten.hundred |
As mentioned earlier, there may be reasons to assume that the putative compound forms discussed above are actually phrasal in nature; this is illustrated by the examples in (23). The (a)-examples first show that consecutive numbers in a coordinate structure with of can be used to express “approximation” and that such examples usually have an asyndetic counterpart, as in (23a'). The fact that we find essentially the same in the (b)-examples suggests that the internal structure of the approximate numeral is given as indicated by the brackets. The fact that coordinate structures are not normally used as the first member of a compound thus suggests a phrasal analysis for the numeral; cf. Corver and Tatsumi (to appear:§3) for a slightly different argument based on the same form that also leads to this conclusion.
23
a. | | Marie heeft | [zes of zeven] | boeken. |
| | Marie has | six or seven | books |
a'. | | Marie heeft | [zes, | zeven] | boeken. |
| | Marie has | six | seven | books |
| | 'Marie has about six or seven books.' |
b. | | Marie heeft | [[zes of zeven] duizend] | boeken. |
| | Marie has | six or seven thousand | books |
b'. | | Marie heeft | [[zes, | zeven] | duizend] | boeken. |
| | Marie has | six | seven | thousand | books |
| | 'Marie has about six or seven thousand books.' |
[+] 3. Cardinal numerals preceded by an article and/or (ander-)half
The second and third columns of Table (17) have shown that the orthographic conventions are somewhat complex: the compound-like forms derived from honderdhundred and duizendthousand are treated as single words, while the complex forms based on miljoen, miljard and biljoen are written as separate words. This has to do with the fact that the latter forms seem to have noun-like properties that are missing (or at least less prominent) in the case of honderd and duizend. Two of these properties are the ability to be preceded by the indefinite article eena and the ability to take a modifier like halfhalf or kwartquarter; this is shown in the primeless and singly-primed examples in (25). Note, however, that the doubly-primed examples show that all forms allow pluralization, which is also a typical nominal property: the derived forms express a multiplication of the cardinal: n x 100, n x 1000, etc. (cf. Jackendoff 1977:§5.5; Corver & Zwarts 2005). Note in passing that the plural forms have an additional interpretive effect of high-degree quantification, in that Jan heeft honderden boekenJan has hundreds of books implies that honderden boeken is a lot; cf. Postma (to appear).
25
a. | # | een honderd boeken |
| | a hundred books |
a'. | * | een half honderd boeken |
| | a half hundred books |
a''. | | honderden boeken |
| | hundreds [of] books |
b. | # | een duizend boeken |
| | a thousand books |
b'. | * | een half duizend boeken |
| | a half thousand books |
b''. | | duizenden boeken |
| | thousands [of] books |
c. | | een miljoen boeken |
| | a million books |
c'. | | een half miljoen boeken |
| | a half million books |
c''. | | miljoenen boeken |
| | millions [of] books |
d. | | een miljard boeken |
| | a billion books |
d'. | | een half miljard boeken |
| | a half billion books |
d''. | | miljarden boeken |
| | billions [of] books |
e. | | een biljoen boeken |
| | a trillion books |
e'. | | een half biljoen boeken |
| | a half trillion books |
e''. | | biljoenen boeken |
| | trillions [of] books |
Note that although we have marked the forms in (25a'&b') with an asterisk, a Google search will reveal their presence on the internet, especially with nouns indicating a measure unit like euro or kilometer. The examples in (25a&b), on the other hand, are unacceptable on the intended reading, but a number sign is used because they are possible with an approximative reading “about a hundred/thousand books”; this reading is not relevant here, since we are dealing here with one of the spurious uses of the indefinite article (cf. Section 19.1.4.4, sub II). Note also that the examples (25b&b') with duizend are in stark contrast to the (b)-examples in (26); this contrast does not appear in the case of honderd, although cases with anderhalf honderd are again not difficult to find on the internet. For completeness, note that (26b') offers yet another possibility in addition to the two (a)-examples in (20).
26
a. | * | anderhalf | honderd | boeken |
| | one.and.a.half | hundred | books |
a'. | * | tweeëneenhalf honderd boeken |
| | two.and.a.half hundred books |
b. | ? | anderhalf | duizend | boeken |
| | one.and.a.half | thousand | books |
b'. | | tweeëneenhalf duizend boeken |
| | two.and.a.half thousand books |
c. | | anderhalf | miljoen | boeken |
| | one.and.a.half | million | books |
c'. | | tweeëneenhalf miljoen boeken |
| | two.and.a.half million books |
d. | | anderhalf | miljard | boeken |
| | one.and.a.half | billion | books |
d'. | | tweeëneenhalf miljard boeken |
| | two.and.a.half billion books |
e. | | anderhalf | biljoen | boeken |
| | one.and.a.half | trillion | books |
e'. | | tweeëneenhalf biljoen boeken |
| | two.and.a.half trillion books |
The acceptability of the doubly-primed examples in (25) might lead to the wrong expectation that juxtaposition with a cardinal greater than one would lead to plural marking on cardinals like miljoen: twee miljoen/*miljoenen boekentwo million books. Booij (2010:199-200) suggests that we are dealing instead with measure nouns of the type meter or kilo; cf. the judgments on example (27b) in its purely quantificational reading.
27
a. | | meters boeken |
| | meters [of] books |
b. | | drie meter/*meters boeken |
| | three meter/meters [of] books |
The above examples have shown that there is clear morphological evidence for the assumption that the cardinals honderd, duizend, miljoen, etc. are nouns: they can all be pluralized. This complements the syntactic evidence in Section 20.1.1.1.