Mathematics Atlas

How Proof Is Made
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Pythagoras

pih-THAG-or-us
Ancient

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Greek philosopher and mathematician who founded a religious and philosophical brotherhood at Croton in southern Italy, which held that reality is fundamentally numerical. No writing of his own survives, and almost everything attributed to Pythagoras personally is filtered through much later, sometimes legendary, sources; the theorem bearing his name, relating the sides of a right triangle, was known and used empirically by the Babylonians and Egyptians centuries earlier, and it remains genuinely uncertain whether Pythagoras or a later member of his school produced the first general proof. Convention nonetheless credits the school with turning an empirical rule into a proven theorem.

Facts
Death Place
Metapontum or Croton (accounts differ) 1
Wikipedia infobox gives either Croton or Metapontum; most narrative sources favor Metapontum after he fled Croton. MacTutor notes the evidence is genuinely unclear.
Nationality / Culture
Greek (Samian, later of Croton in Magna Graecia) 2
Defining Contribution
The Pythagorean school's conviction that number underlies reality, and the theorem, empirical long before his school, credited to it as the first general proof. 2
Notable Work
The Pythagorean theorem and the founding of Pythagoreanism, though the theorem itself was known to Babylonian mathematicians roughly a thousand years earlier; Pythagoras may have been the first to prove it. 1
Disputed
Birth Year
570 BCE 2
No contemporary record survives; c. 570 BCE is the commonly cited scholarly estimate, reconstructed from later, sometimes unreliable, biographical traditions.
Death Year
495 BCE 2
No contemporary record survives; this is a commonly cited scholarly estimate, not a firm date.
Birthplace
Samos, an Ionian Greek island 2
Widely repeated in later sources but resting on tradition rather than a contemporary record.
Cross-Tradition Connections

In Branch

Proofs Credited

Why this is disputed. Traditional attribution; independently confirmed proof authorship is not possible given the surviving record.

Additional Source Pythagorean Theorem (Wikipedia)History section
In the Other Atlases
Sources
1. Pythagoras (Wikipedia)
Wikimedia FoundationDeath section
Quote, Death section
The building was apparently set on fire, and many of the assembled members perished; only the younger and more active members managed to escape.
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1. Pythagoras (Wikipedia)
Wikimedia Foundationopening paragraph
Quote, opening paragraph
the eponymous founder of Pythagoreanism
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2. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
Pythagorean Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Pythagorean Theorem, History section
Quote, Proofs Credited: Pythagorean Theorem, History section
The theorem is named for the Greek philosopher Pythagoras, born around 570 BC.
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Dissenting Readings (1 dissenting reading)
Proofs Credited: Pythagorean Theorem

Crediting Pythagoras alone with this theorem understates its independent discovery elsewhere. Chinese mathematical texts, most notably the Zhoubi Suanjing, preserve an independent geometric derivation of the same right-triangle relationship, there called the gougu theorem, on a timeline that historians of Chinese science place at or before the period conventionally assigned to Pythagoras, alongside the already-acknowledged Babylonian numerical knowledge of the relationship a thousand years earlier still. The theorem was discovered and used in more than one civilization independently; naming it for one Greek school, while a durable convention, is a convention, not a finding about priority.

A dissenting reading, from Joseph NeedhamMacTutor History of Mathematics Archive, University of St Andrews, School of Mathematics and Statistics
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