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Pythagoras

Pythagoras of Samos was an ancient Greek philosopher, mathematician, and religious teacher who lived around 570 to 495 BCE.

By Ethan Anderson| Reviewed by Olivia Bennett, Standards & Fact-Checking Lead| Updated July 26, 2026|2 min read| Fact-checked

Pythagoras of Samos was an ancient Greek philosopher, mathematician, and religious teacher who lived around 570 to 495 BCE. He founded a school or brotherhood in Croton in southern Italy, and his ideas influenced later Greek philosophy, mathematics, and Western thought. Many details of his life are uncertain, and some teachings associated with him may have come from his followers.

Life

Pythagoras was born on Samos around 570 BCE and later settled in Croton, where he became the centre of a philosophical and religious movement. Ancient sources disagree on details of his life, and much of the surviving tradition is later and partly legendary.

Teachings

Pythagorean teaching linked mathematics with ethics, religion, and the order of the cosmos. Reported beliefs include reincarnation, ritual purity, and the view that numbers are fundamental to reality.

Mathematical legacy

Pythagoras is best known today for the Pythagorean theorem, but historians note that the theorem was known before him in other ancient civilizations. His school nevertheless played an important role in developing Greek mathematics and number theory.

Influence

Pythagorean ideas influenced Plato and Aristotle and helped shape later Greek and Western philosophical traditions. The Pythagorean movement also contributed to later work in music theory, astronomy, and mathematical thought.

Key facts

  • Pythagoras was born on the island of Samos and later moved to Croton in southern Italy.
  • He founded the Pythagorean brotherhood, a religious-philosophical community.
  • His teachings emphasized number, proportion, and the idea that reality has a mathematical structure.
  • He is traditionally associated with the Pythagorean theorem, though the theorem was known earlier in Babylonian mathematics.
  • His ideas influenced Plato, Aristotle, and later Western philosophy.
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Canadian context

Pythagoras is taught in Canadian mathematics and history curricula through the Pythagorean theorem and the development of ancient Greek mathematics.

Frequently asked questions

Who was Pythagoras?
Pythagoras was an ancient Greek philosopher, mathematician, and religious teacher, traditionally regarded as the founder of Pythagoreanism.
What is Pythagoras best known for?
He is best known for the Pythagorean theorem and for a school of thought that treated numbers as central to understanding reality.
Did Pythagoras really discover the Pythagorean theorem?
The theorem was known earlier in Babylonian mathematics, so Pythagoras is not generally credited with its original discovery; he may have been associated with a proof or with later transmission of the idea.
Where did Pythagoras live?
He was born on Samos and later lived in Croton in Magna Graecia, with his final years traditionally placed in southern Italy.
What was Pythagoreanism?
Pythagoreanism was a religious-philosophical movement associated with Pythagoras that emphasized numbers, harmony, moral discipline, and beliefs about the soul.

References

  1. Wikipediahttps://en.wikipedia.org/wiki/Pythagoras
    Supports: Basic biography, dates, birthplace, and association with Pythagoreanism
  2. Encyclopaedia Britannicahttps://www.britannica.com/biography/Pythagoras
    Supports: Biography, birthplace, death place, occupation, and influence
  3. Stanford Encyclopedia of Philosophyhttps://plato.stanford.edu/entries/pythagoras/
    Supports: Life, movement, teachings, reincarnation, and historical uncertainty
  4. MacTutor History of Mathematicshttps://mathshistory.st-andrews.ac.uk/Biographies/Pythagoras/
    Supports: Mathematical legacy, theorem context, and influence on mathematics and music
  5. World History Encyclopediahttps://www.worldhistory.org/Pythagoras/
    Supports: Pythagorean theorem, philosophical teachings, and historical summary
  6. Live Sciencehttps://www.livescience.com/pythagoras
    Supports: Overview of mathematical, astronomical, and musical associations