Hippasus
Who was Hippasus?
5th-century BC Pythagorean philosopher
Biographical data adapted from Wikipedia’s article on Hippasus (CC BY-SA 4.0).
Biography
Hippasus of Metapontum was a Greek philosopher and mathematician from the late 6th and early 5th centuries BC. He was born in Metapontum, a Greek colony in southern Italy, and became an early follower of Pythagoras and a member of the Pythagorean school. Details about his life and work are largely unknown, with most information coming from later sources that often mix legend with fact. Despite limited reliable information, Hippasus is mainly remembered for his contributions to mathematics and his supposed involvement in a major ancient mathematical discovery.
Hippasus is most famously linked to the discovery of irrational numbers, though ancient sources don't directly credit him with this finding. According to later accounts, this discovery caused a stir within the Pythagorean community, which believed that all numbers could be expressed as ratios of whole numbers. Finding numbers that couldn't be expressed this way was a challenge to key Pythagorean beliefs about reality and mathematical balance.
Various ancient stories describe Hippasus’s fate in dramatic terms, suggesting he drowned at sea as divine punishment for his mathematical discoveries. Some stories claim he was punished for revealing the secret of irrational numbers and taking credit for the discovery instead of attributing it to Pythagoras, as was the custom in the secretive Pythagorean brotherhood. Other accounts say his wrongdoing involved revealing how to construct a dodecahedron within a sphere, another closely kept mathematical secret.
Historical evidence indicates Hippasus died in Crotone, another main center of Pythagorean activity in Magna Graecia. Besides legendary tales of his death, little definite information survives about his teachings or writings. Like many early Pythagoreans, he likely contributed to the school’s studies in music theory, exploring the mathematical relationships behind musical harmony. His work would have been part of the wider Pythagorean effort to understand the universe through numbers and geometry, although his specific contributions are largely unknown to modern scholars.
Before Fame
Hippasus was born in Metapontum when Greek colonies in southern Italy were experiencing a time of cultural and philosophical growth. This region, known as Magna Graecia, was a hub for math and philosophy, drawing thinkers who started schools that affected Western thought for a long time.
As a young man, Hippasus would have come across Pythagorean teachings while the school's influence was strong in the area. Pythagoras set up his community in nearby Crotone around 530 BC, and his followers were busy spreading their mathematical and philosophical ideas throughout the Greek colonies. Hippasus probably gained prominence in this movement by showing remarkable math skills and dedication to the strict intellectual discipline that defined Pythagorean education.
Key Achievements
- Contributed to early mathematical understanding of irrational numbers
- Advanced Pythagorean investigations into geometric relationships
- Participated in developing mathematical proofs that challenged existing numerical theories
- Helped establish mathematical foundations for later geometric discoveries
- Contributed to the mathematical analysis of regular polyhedra, particularly the dodecahedron
Did You Know?
- 01.Ancient sources suggest Hippasus may have been expelled from the Pythagorean school before his alleged drowning, making him one of the earliest recorded academic dissidents
- 02.The mathematical proof that supposedly led to his downfall likely involved demonstrating that the square root of 2 cannot be expressed as a fraction
- 03.Some accounts claim the Pythagoreans erected a tomb for Hippasus while he was still alive, symbolically declaring him dead to their community
- 04.The dodecahedron that Hippasus allegedly revealed was considered sacred by Pythagoreans and associated with the cosmos itself
- 05.His name appears in various forms in ancient texts, sometimes as Hippasus of Metapontum and other times simply as Hippasus the Pythagorean