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.

What was one of the key contributions of the Pythagorean Brotherhood to mathematics?

• Invention of algebra

• Number classification and theories on primes

• Development of calculus

• Discovery of the Fibonacci sequence

What was the Pythagorean Brotherhood's belief about the world?

• It was an illusion

• It was governed by the gods

• It could be explained with rational numbers

• It could be understood through mystical rituals

Who discovered the first irrational number, challenging the Pythagorean beliefs?

• Hypassis

• Archimedes

• Socrates

• Euclid

What was the reaction of the Pythagorean Brotherhood to the discovery of irrational numbers?

• They celebrated the discovery

• They ignored the discovery

• They allegedly murdered the discoverer

• They embraced irrational numbers

What lasting impact did Pythagoras have on mathematics?

• He discovered the laws of motion

• He contributed to many mathematical concepts that define our world

• He developed the theory of relativity

• He invented the concept of zero