Erdem

Öz

ABSTRACT

When an investigation is made in Ancient Greece over the
concept of ilm-i hiyel, the terms of tekhné and episteme are obtained. Tekhné,
which traveled with the episteme until Plato’s time, means knowing something
like episteme in the broadest sense. They mean to know something like the back
of their hand and to have a say on something. Knowing is a way of revealing
something. Aristotle makes a definite distinction between episteme and tekhné
concepts according to what they reveal and how. Tekhné is not to manufacture,
but to bring it into existence by revealing something. Thus, the tekhné is a
form of disclosure. When we consider that Tekhné is a mental quality and means
bringing into existence by revealing something, we understand that the concept
of tekhné includes the activity of making art as well as technical knowledge
and skill. Plato divides technical knowledge (tekhné) into theoretical and experimental
knowledge. According to him, technology is the replication of the entity, and
it cannot be reali- zed independently of the ideal.

In the Encyclopedia of Islam the word hiyel is the plural
form of trick (hile), which has not only positive meanings like talent,  solution and method but also negative
meanings like trick and deceptionin Arabic. Trick or the term trick is
mentioned as the word precaution and described as practical part of
mathematical sciences in İhsân’ül-Ulum which was written by Farabî, one of the
first Works on classification in Islamic World. While ilm-i hiyel (technology)
was initially considered as a sub-branch of mathematics, it was limited to the
knowledge of machinery and engineering from the 10th century onwards as was
positioned as a separate brunch of science outside mathematics. The science of
algebra is one of the most important fields of mathematics that has been known
science Mesopotamians but has had a new perspective with Muslim mathematicians.
One of the two important steps of Muslim mathematicians in the development of
algebra; they used Indian number system and they expanded the scope of the
definition of the numbers, allowing irrational numbers to be treated as
rational numbers through algebra and reduction (mukabele).

In this article, firstly historical backgrounds of ilm-i
hiyel and algebra will be given, and then the reliationship between ilm-i hiyel
and algebra will be tried to be revealed through irrational number problem.