Pythagorean Brotherhood 

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Pythagoreans
Pythagoras in his school When Pythagoras came to Croton, he founded a philosophical school called 'semicircle'. The school had many followers, but the inner circle of the school had smaller number of philosophers/mathematicians who were called mathematikoi . They lived as if they were in a monastery, having no private property and observing a number of strict rules. Among other things, they believed that
Mathematikoi were both men and women, while the outer circle of followers, known as akousmatics lived in their own families and homes, and attended the society's meetings and lectures during the day. They were not required to follow the strict rules as mathematikoi. It would be wrong to say that Pythagoreans were organised as a research group, or research institution or university. They were rather a philosophical and in a way, religious society, who, because they believed that at the root of all reality lies mathematical truth, studied mathematics and properties of mathematical objects. This was however, very important for the development of mathematical thought generally, as their study made abstraction of mathematical ideas somewhat commonplace and well known in philosophical and therefore in mathematical circles. Pythagoreans studied varied array of subjects such as:
It is believed that Cylon, a powerful citizen of Croton, wanted to become one of mathematikoi which Pythagoras refused him. This led to a wholescale attack on Pythagoras and his followers, and their ultimate persecution and demise after the death of Pythagoras himself.

Learn more about Pythagoras himself by clicking on the picture above More about Greek mathematics in general 

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