He was looked upon by his contemporaries and immediate successors as a
master, for Cassiodorus[285] (c. 490-c. 585 A.D.) says to him: "Through
your translations the music of Pythagoras and the astronomy of Ptolemy are
read by those of Italy, and the arithmetic of Nicomachus and the geometry
of Euclid are known to those of the West."[286] Founder of the medieval
scholasticism, {73} distinguishing the trivium and quadrivium,[287] writing
the only classics of his time, Gibbon well called him "the last of the
Romans whom Cato or Tully could have acknowledged for their
countryman."[288]
The second question relating to Boethius is this: Could he possibly have
known the Hindu numerals? In view of the relations that will be shown to
have existed between the East and the West, there can only be an
affirmative answer to this question. The numerals had existed, without the
zero, for several centuries; they had been well known in India; there had
been a continued interchange of thought between the East and West; and
warriors, ambassadors, scholars, and the restless trader, all had gone back
and forth, by land or more frequently by sea, between the Mediterranean
lands and the centers of Indian commerce and culture. Boethius could very
well have learned one or more forms of Hindu numerals from some traveler or
merchant.
To justify this statement it is necessary to speak more fully of these
relations between the Far East and Europe. It is true that we have no
records of the interchange of learning, in any large way, between eastern
Asia and central Europe in the century preceding the time of Boethius. But
it is one of the mistakes of scholars to believe that they are the sole
transmitters of knowledge. {74} As a matter of fact there is abundant
reason for believing that Hindu numerals would naturally have been known to
the Arabs, and even along every trade route to the remote west, long before
the zero entered to make their place-value possible, and that the
characters, the methods of calculating, the improvements that took place
from time to time, the zero when it appeared, and the customs as to solving
business problems, would all have been made known from generation to
generation along these same trade routes from the Orient to the Occident.
It must always be kept in mind that it was to the tradesman and the
wandering scholar that the spread of such learning was due, rather than to
the school man. Indeed, Avicenna[289] (980-1037 A.D.) in a short biography
of himself relates that when his people were living at Bokh[=a]ra his
father sent him to the house of a grocer to learn the Hindu art of
reckoning, in which this grocer (oil dealer, possibly) was expert. Leonardo
of Pisa, too, had a similar training.
Public-domain text, read in full here on John Shaqi.
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