:
kuttaka:
The device of numeration has diverse roots and different substrata.
Within the Vedic tradition, numbers are linked up with treatment of
verse,
with the structure of grammar; within the Greek tradition, music and
proportions are pivotal; the Chinese, then, used their rods for
calculating as well as for devination.
The eventual number system we
are commonly working with, the decimal positional system, is the result
of a long process of
re-appropriation and transposition of these devices. Taking W. Burroughs's words seriously
(1)
-- language consists of mutating virus mechanisms -- numbers would be
the foremost example of a migrating virus, leaving its characteristic
imprints on everyday language and life.
:
modulo:
The theory of numbers is, however, a much more modern phenomenon, of
which the first intimations were worded in the 16th and 17th centuries,
but
gradually evolved into a coherent and powerful theory near
the end of the 18th century.
As D.H. Lehmer remarked
(2), inventing a new numerical
notation, adds to our insight in higher arithmetic. Therefore, one
could say that the inner structures or architectonic of numbers could
only be studied
after the complete appropriation (europeanisation) of the hindu-arabic
ciphers.
(1) William Burroughs (1970):
The Electronic Revolution.
(2) D.H. Lehmer (1933): "Numerical Notations and Their Influence
on Mathematics",
Mathematics News Letter 7 (6),
8-12
.