Pythagoras
Pythagoras was born around the year 580 BC on the island of Samos, in the Aegean Sea. His father was a merchant and young Pythagoras traveled a lot with him - some sources say, that he was thaught in Tyre by the learned men of Syria. Nothing else is known about his childhood and apperance, except that he had a birthmark on his thigh and was well educated - he learned to play the lyre and learned poetry and to recite Homer. Shortly after Phytagoras became an adult he visited Thales in Miletus. By this time Thales was a very old man and probably didn't teach Pythagoras many things, but surely made a strong impression on him and advised him to go to Egypt to learn more about mathematics and astrology. Pythagoras also attended Thales's pupil's, Anaximander, classes in Miletus, whose ideas influenced Pythagoras' views. Around the year 535 BC Pythagoras went to Egypt where he visited many temples and led many discussions with the priests and even was acepted into priesthood. Pythagoras settled in Croton, a Greek colony in southern Italy, about 530 BC, where he founded a philosophical and religious school. Members of his society were divided into mathematikoi and akousmatics. The mathematikoi were the inner circle, they lived with the society all the time and had no personal possessions and were vegetarians. Pythagoras taught them and they had to obey strict rules. The akousmetics, the outer circle, came to the society only during the day and lived in their houses - they didn't have to be vegetarians and were allowed to have personal possessions. Both men and women could become members of the society and soon Pythagoras had many followers. They were strongly religious and aimed for reforming political and moral and social life. They believed that the reality is mathematical in nature and that philosophy is the way to the spiritual purification - that is the time, when soul unites with the divine. The school practiced communalism and secrecy so it's difficult to tell which achievemnts are Pythagoras' and which are his students'. However, it is certain that the Mathematikoi with their leader devoted themselves to mathematics and they introduced irrational numbers - but it is unlikely that it's Pythagoras's achievement, beacause it was agains his philosophy (he thought that all things are numbers and by numbers he meant a ratio of two whole numbers). Pythagoreans tried to stay out of politics, but some sourced say, that this order took part in a discussion against the war that Crotona declared on its neighbour, Sybaris. Two years later one of Croton's nobles attacked the society. After 500 BC the society has grown in number rapidly and took part in politics and also split into many fractions.
Pythagoras, often called the first true mathematician, is repsonsible for a huge development in mathematics, but didn't leave any written evidence of his achievements. His society worked in secrecy, which makes makes a misterious figure out of him. Although Pythagoras studied even and odd numbers and perfect numbers and triangural numbers he thought that every number has its own personality and ten was the best number of all - it was the sum of the first four integers (1+2+3+4 = 10) - and these written in a special way formed a perfect triangle. Pythagoras is most famous for his geometry theorem - which was in fact known to the Babylonians 1000 years earlier, but he was probably the first one to prove it. He also knew that Earth was a shpere, but he thought it was in the center of the universe. However, Pythagoras was primarily a philosopher. He thought that one's soul is a number travelling through the world and experiencing reincarnation into different species until it eventually purificates and that all things were first made of form and not from material substance. We don't know much about his death - he certainly escaped to Metapondium after the attack on his society and probably died here - according to some authors he commited suicide because of the attack.
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