Numerical vocabulary: The
Maldive word for number and numeral was aka. Now this seems
to be replaced by an English derivative, nambaru. The probable
reason for the change was because aka acquired a stigma by
association with numerology and the pseudo-Islamic fanditha
witchcraft. The word aka still survives in mathematical usage
and means square as in square metre. Mathematical area still is
called akamin. Numeral is also known as viya akuru
which means mathematical script.
Counting system: The original
Maldive counting system appears to be decimal (base ten) but at
some stage in history a duodecimal (base twelve) system was superimposed
over this and survived until the early part of the twentieth century
when the decimal system was restored to common usage. This restoration
was probably influenced by Borah merchants from the British province
of Bombay in India who set up shop in Male towards the middle of
the nineteenth century. Some of the current decimal numbers past
eleven and all of the decimal numbers used until early in the twentieth
century (even now by stuffy civil service accountants) reflect the
Gujarati and Hindustani influence of the Borahs.
Why decimal? The decimal system
was probably based on the fact that most humans have ten digits
between their hands. The duodecimal system was probably based on
the twelve moons of the seasonal year. Obviously early Maldivians
or whoever brought the duodecimal system to the Maldives looked
past their own hands into the heavens for mathematical inspiration.
A maritime people would have considered the four cardinal points
of the compass as providing a basis of their counting system. Four
is a factor of twelve rather than ten.
The numbers: The first ten
numbers of the old duodecimal system are very similar to the decimal
numbers of Sanskrit and Latin. This possibly indicated that a decimal
set of numbers pre-dated the intermediate duodecimal numbers. Eleven
and twelve in the doudecimal system correspond to the current eleven
and twelve of the Sinhala language of Sri Lanka.
|
Latin
|
Sanskrit |
Divehi
Decimal
|
|
Cardinal unless stated
|
|
early 20th Century
|
Modern
|
1
|
unus |
eka |
ekeh |
ekeh |
2
|
duo |
dvi |
dheyh |
dheyh |
3
|
terni (distributive) |
tri |
thineh |
thineh |
4
|
quattuor |
catúr |
hatareh |
hathareh |
5
|
quinque |
panca |
faheh |
faheh |
6
|
sex |
sas |
haeh |
haeh |
7
|
septem |
saptan |
hatheh |
hatheh |
8
|
octo |
ashtan |
arheh |
arheh |
9
|
novem |
navan |
nuvaeh |
nuvaeh |
10
|
decem |
dashan |
dhihaeh |
dhihaeh |
11
|
|
ékaadashan |
egaara |
egaara |
12
|
|
dvaadashan |
baara |
baara |
13
|
|
tráyodashan |
theyra |
theyra |
19
|
|
uunavimshatí |
onavihi |
navaara |
20
|
|
vimshatí |
vihi |
vihi |
21
|
|
ékavimshati |
ekaavees |
ekaavees |
22
|
|
dvaavimshati |
baavees |
baavees |
30
|
|
trimshát |
thirees |
thirees |
31
|
|
ékatrimshat |
ehthirees |
thirees ekeh |
32
|
|
dvaatrimshat |
batthirees |
thirees dheyh |
40
|
|
catvaarimshát |
saalhees |
saalhees |
50
|
|
pañcaashát |
fansaas |
fansaas |
60
|
|
sastí |
hatti |
fasdholhas |
70
|
|
saptatí |
haiythari |
haiydhiha |
80
|
|
ashiití |
aahi |
addiha |
90
|
|
navatí |
navai |
nuvadhiha |
|
Decimal |
Duodecimal |
1 |
ekeh |
ekeh |
2 |
dheyh |
dheyh |
3 |
thineh |
thineh |
4 |
hathareh |
hathareh |
5 |
faheh |
faheh |
6 |
haeh |
haeh |
7 |
hatheh |
hatheh |
8 |
arheh |
arheh |
9 |
nuvaeh |
nuvaeh |
10 |
dhihaeh |
dhihaeh |
11 |
egaara |
ekolhaheh |
12 |
baara |
dholhaheh |
13 |
theyra |
dholhas ekeh |
14 |
saadha |
dholhas dheyh |
15 |
fanara |
dholhas tineh |
16 |
soalha |
dholhas hathareh |
17 |
sathaara |
dholhas faheh |
18 |
arhaara |
dholhas haeh |
19 |
navaara |
dholhas hatheh |
20 |
vihi |
dholhas arheh |
21 |
ekaavees |
dholhas nuvaeh |
22 |
baavees |
dholhas dhihaeh |
23 |
theyvees |
dholas ekolaheh |
24 |
sauvees |
fassihi |
25 |
fansavees |
fassihi ekeh |
36 |
thirees haeh |
thin dholhas |
48 |
saalhees arheh |
fanas |
60 |
fasdholhas |
fasdholhas |
72 |
haiydhiha dheyh |
faahithi |
84 |
addiha hathareh |
haiydholhas |
96 |
nuvadhiha haeh |
hiya |
108 |
satheyka arheh |
nuvadholas |
144 |
satheyka saalhees hathareh |
assa (?) |
Interesting points to note are the similarities between the decimal
25 (fansavees) and the duodecimal 24 (fassihi). Fassihi
nearly literally means five and twenty. This also lends to the belief
that a decimal set of numbers may have pre-dated the duodecimal.
The decimal word for fifty (fansaas) and the duodecimal word for
48 (fanas) are also similar. The decimal and doudecimal word for
60 is exactly the same and we must remember 60 is the lowest common
number in both systems that ends with a zero (zero is suhn
in both decimal and duodecimal Divehi).
Pre-Arabic (Hindu) numerals:
The basis of the pre-Arabic (Hindu) Maldive numerals was the first
eleven (in the duodecimal system) and the first nine (in the decimal
system) letters of the older Divehi (Divess) script. These numbers
can still be seen in surviving old manuscripts.
Alphabet based on numerals:
The modern Thaana script was invented based on the numerals known
to Maldivians at that time. The first nine letters of the Thaana
script are called the letters of the Arabi aka (Arabic numerals)
and look like the Arabic/ Persian numerals of the Hindu counting
system. The next nine Thaana letters are called the letters of the
Divehi aka (Divehi numerals) and look like the first nine
base letters (consonants without the vowel extensions) of the Divess
script. the remainder of the Thaana consonants were derived by adding
"arms", "legs" and dots to the Arabi aka
and Divehi aka consonants. As a sweetener for the mullahs,
the vowels known as fili were derived from the diacritical
marks used in the Arabic text (Mushaf) of the Koran (Islamic
holy book).
The Thaana alphabetical script used to write modern Divehi was invented
in resistance to the drive to Arabise and strip the Maldives of
its national heritage by the Islamic intelligentsia. In that regard
Maldivians proved to the mullahs to be resilient and a tougher nut
to crack than the Persians, Islamised Indians, Turks and the Malays
who all abandoned their indigenous writing systems and/ or adopted
the Arabic script. The Turks and the Malays have since dropped the
clumsy Arabic alphabet in favour of the Roman alphabet. Maldivians
invented their own non-Indic, nevertheless, non-Arabic script we
now call Thaana to replace the former Indic script called Divehi
Akuru. The Indic script was written from left to right. The
mullahs objected to that and tried to impose a modified Arabic script
which they called hedhi akuru. The civil intellectuals refused
a bar of that and devised the compromise Thaana script.
Money: When the Ceylon and
British Indian silver (later nickel) rupee became the de facto
unit of currency from very early 20th Century, the Maldive
currency unit, the laari was pegged to the rupee at the rate of
1 rupee equals to 120 laaris. In addition to the rupee, the British
Indian half rupee coin (also known as 8 anna) and quarter rupee
(4 Anna) coin were used as de facto legal tender. Until the
1970s, the Maldive 25 laari coin and 75 laari value were popularly
referred to as 4 anna and and 12 anna The 50 laari coin and the
half rupee note was never called 8 anna
This was a curious merger of the duodecimal and decimal. It must
be remembered that at that time the Sterling pound consisted of
240 pence, which was equal to 960 farthings, interestingly multiples
of 12. When the Maldives adopted the rufiyaa as its own currency
and issued its own currency notes in 1947, the Maldive rufiyaa was
set at 100 laari.
The use of the Imperial coinage was evidenced in the following verse
of a poem by Bodufenvalhugey Seedi, the author's maternal grandfather.
Seedi was a member of the ruling Council of Regency that decreed
the introduction of the decimalised Maldive paper currency in 1947
to replace the de facto Imperial coinage.
A
very bright thing, a round round thing
That everyone desires, a white white thing
At moving people's hearts, a very clever thing
Ever wondered what is this thing?
|
Goldsmiths continued to use the Imperial coinage as weights, as
they had done for many decades. One silver anna was 60 grains Troy.
The Indian rupee was 91.66% silver. The Ceylon rupee was 80.00%
silver until World War I, when it was reduced to 55.00% silver.
As a result there was a tendency for mostly Indian coins to remain
in circulation in the Maldives.
Until 1960, the laari coins came in denominations called the kuda
laari (small laari) medhu laari (middle laari) and bodu
laari (big laari). The kuda laari was equal to one laari,
the medhu laari was equal to three laari and the bodu
laari was equal to four laari. Three and four are factors of
twelve rather than ten indicating the duodecimal influence on the
currency. From 1960, the older laari coins were gradually phased
out and were replaced by decimalised denominations.
Duodecimal-decimal amalgums:
There were many other examples of the decimal-duodecimal merger.
One of the titles of the Maldive sovereigns was "King (Queen)
of Twelve thousand Isles". This was clearly not the number
of Maldive islands but was meant to symbolise a huge number.
A standard packet of cowrie shell, the main export of ancient Maldives
consisted of 12,000 shells and was called a kottey.
Time: The basic unit of the
Maldive clock was the dhan, which was equal to three hours.
There were four daylight dhan and four nocturnal dhan
making a total of eight dhan in twenty four hours. The twenty
four hour period was called addan-iru, which literally meant
"eight dhan period"
Who
knew the biggest number?
- the English the Indians
or the Maldivians?
As a Year Four (Grade 3) primary school pupil, one day I returned
from school and announced jubilantly to my mother that I had learnt
the biggest imaginable number from Mr Peter Wise, my new teacher.
I was sure my mother would be totally ignorant of that number. She
asked me what the number was and I replied that if she wrote down
a one followed by six naughts she would have that number and was
called a million.
My mother told me that she was not too sure of this million number
but she knew the Divehi name of the number written with one followed
by 20 naughts. She called it dhiha mahaasinku. To my absolute
disbelief she claimed she could name every number between one and
dhiha mahaasinku in Divehi.
The Maldive decimal system of numbers to the power of ten were as
follows. They were probably derived from Sanskrit?
Scientific
notation |
Divehi number |
Sanskrit
number |
1.0 x 101 |
dhihaeh |
dashan |
1.0 x 102 |
satheyka |
shatá |
1.0 x 103 |
haas |
sahásra |
1.0 x 104 |
dhiha haas |
ayúta |
1.0 x 105 |
lakka |
laksá |
1.0 x 106 |
dhiha lakka |
prayúta |
1.0 x 107 |
kuroadu |
koti |
1.0 x 108 |
dhiha kuroadu |
árbuda |
1.0 x 109 |
arabu |
abja |
1.0 x 1010 |
dhiha arabu |
kharvá |
1.0 x 1011 |
karabu |
nikharva |
1.0 x 1012 |
dhiha karabu |
mahaapadma |
1.0 x 1013 |
neelu |
shankú |
1.0 x 1014 |
dhiha neelu |
jaladhi |
1.0 x 1015 |
fadhamu |
antya |
1.0 x 1016 |
dhiha fadhamu |
mádhya |
1.0 x 1017 |
sinku |
paraardhá |
1.0 x 1018 |
dhiha sinku |
|
1.0 x 1019 |
mahaasinku |
|
1.0 x 1020 |
dhiha mahaasinku |
|
I did not challenge Mr Wise to see if he had a term for dhiha mahaasinku. |