During the Forum of Philosophy – Reflections on China-West Cultural Exchanges
Held in Athens 7-10 August, 2013
At the coasts of Ionia around the 6 th century B.C. took place an important event concernig the passage of the mythical to the rational. Thus the cosmological interpretation based on the myth gave birth to the creation of a new rationalist type of knowledge . People started to search for the truth ,whose concept at first belonging to philosophy rather than mathematics.
The frontiers of that period were traced through the introduction of the concept of demonstration by Thales
,which henceforth characterize mathematics as rational beings From the myth and the experience mathematucs were developed under the guidance of demonstration and attended abstractness. in the school of Pythagoras
in Croton South Italy. There they developed a philosophical system based on the notion of integer number. Every thing is number was their moto . From this cult music was thereby conceived as numerical ratios .
In the Platonic Academy however Plato (4 th century B.C.) created a mathematical philosophy which was more advanced than the Pythagorean one . as he adopted that not only things imitate the numbers but they paricipated to them .
Through the Elements of Euclid (ca 300 B,.C.) the ancient Greek mathematical thought testified the modern creation of mathematics; while Archimedes conceived a very powerfull instrument : the infinitesiamal calculus and at the same time he worked for pure and applied mathematics.
During the late hellenistic period in Alexandria Hypatia ( ca 370-415) taught Plato and Aristotle considering philosophy as a way of religious mysticism. Moreover she tried to preserve the ancient Greek cultural inheritance in Alexandria , where all the institutions (Museum , Library ) collapsed due to the fanatism of the first christians.