Some Mathematical Etymology
Et-what?! It means the meaning, formation and historical derivation of
words. Or simply the ancestry of words. For example, here is the etymology
of
|
ETYMOLOGY: from Greek: etumos |
| | |
| | |
literal sense or original form, |
|
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Yes, mathematical words have ancestors too:
- GEOMETRY, GEODESIC - from Greek: ge = earth, metreo =
to measure; suggesting that
geometry may have begun with problems about land distribution,
reclamation and inheritance.
Compare GEOGRAPHY, GEOLOGY, GEODESY, from Greek: graphos = writing,
geodes = earthy.
- CALCULUS - from Latin: calculus = pebble, calculare =
to
count;
suggesting
that pebbles were used for tallying and counting long ago in
Italy.
- DIGIT - from Latin: digitus = finger; suggesting that
fingers
have long been
used for counting, and that finger signs were once used for the Roman
numerals I, V, X, etc.
- ALGEBRA - In 766 AD the Caliph al-Mansur founded his new capital
at
Baghdad, which
soon became a great commercial and intellectual centre.
Al-Khwarizmi was one of the first scholars to
work at the new House of Wisdom in Baghdad - a kind of research institute
whose
major activity (luckily for us in the future) was collecting and
translating the classical Greek mathematical and scientific texts rescued
from the persecution and destruction of the Academy at Athens and the
Library at Alexandria.
Al-K wrote (about the year 825) one of the earliest Islamic texts on
solving equations for unknowns; it was called in Arabic:
Al-kitab al muhtasar fi hisab al-jabr wa-l-muqabala = The Condensed Book on the
Calculation of al-Jabr and al-Muqabala, where
al-Jabr = restoring (referring to the operation of taking a negative
quantity from one side of an equation to the become a positive quantity on
the other side), and al-Muqabala = comparing. The work
was
(for
obvious reasons) given a shorthand name - the al-Jabr, or Algebra!
- ALGORITHM - A Latin translation of one of al-K's books on
arithmetic
begins with the
words Dixit Algorismi = Al-K says....Because of this, curiously, his
name later gave us the word we use for various routine operations with
numbers!
- ZERO - The Hindu word, sunya = empty, was used for the
Hindu
invention of
the symbol for `nothing' in their decimal place-value system about 1300
years ago. When the Arabs adopted the Hindu numeral system they described
the symbol by the Arabic: sifr = empty. When, around the 12th and
13th centuries, the Europeans adopted this Hindu-Arabic system, they
Latinized the word to zephirum, and then it was eventually shortened
(by practical businesspersons probably) to zero.
- CIPHER - from Arabic: sifr = empty, as above, because `a
mere
cipher' means a
virtual nothing! This is similar to the origin of the name Abel in the
early chapters of the Bible; it comes from the Hebrew word: Hebel =
vanity, or a puff of vapour. This is the word used in the famous
declaration of Ecclesiastes: `Vanity of vanities, all is vanity!' And the
point of the deep symbolism in the Genesis story of Cain and Abel is that
Cain, in murdering his brother, treated him as a mere cipher, a mere
nothing, to be got out of his way... (By the way, `Cain' derives
from the Hebrew word for spear!)
[More surprising mathematical etymology next issue! Did you know that
there is a connection between the words ANGLE and ENGLAND? POLYGON and
GENOCIDE?! It all hinges on the Latin word for corner and the Greek word
for knee....]
File translated from
TEX
by
TTH,
version 2.78.
On 21 Mar 2001, 09:19.