Irrational Numbers: Pythagoras

Pythagoras, known for his theorem, founded the Pythagorean Brotherhood in ancient Greece. This group developed mathematical ideas and lived communally, sharing both knowledge and lifestyle. They believed in understanding the world through rational numbers. However, the discovery of irrational numbers by Hypassis challenged their beliefs, leading to his alleged murder. Despite this, Pythagoras' contributions to mathematics, including concepts like irrational numbers, have had a lasting impact on the world.

Describe the lifestyle and practices of the Pythagorean Brotherhood.

In what ways did Pythagoras influence the understanding of mathematics in his time?