The Mystical Mathematician: 15 Fascinating Facts About Pythagoras

1. He Strictly Forbade His Followers From Eating Fava Beans

Long before modern dietary crazes, Pythagoras instituted one of history's most bizarre food bans by forbidding his followers from consuming or even touching fava beans. He believed that beans and humans were created from the same primordial substance and that beans housed the souls of the deceased. In his philosophical view, eating a fava bean was morally equivalent to consuming human flesh and amounted to direct cannibalism. He also argued that beans resembled human fetuses or subterranean gates, adding a creepy mystical layer to his intense revulsion. This strict taboo was enforced rigorously among all members of his inner circle in the ancient city of Croton.

2. He Did Not Invent the Famous Pythagorean Theorem

Although every geometry student knows the equation a² + b² = c² as the Pythagorean theorem, Pythagoras himself was not its original creator. Clay tablets reveal that ancient Mesopotamian and Babylonian mathematicians were solving problems using this spatial relationship over a thousand years before Pythagoras was born. Indian scholars in the Baudhayana Sulba Sutra also recorded the underlying geometric principles long before Greek philosophy took root. Pythagoras and his school were primarily responsible for introducing formal geometric proofs to the Mediterranean world and popularizing the concept. Consequently, history attached his name to a mathematical truth that had already been known across several earlier civilizations.

3. Initiates Were Forced to Endure a Five-Year Vow of Silence

Joining the inner circle of the Pythagorean brotherhood was a grueling ordeal that required immense personal discipline and patience. New recruits, known as exoterici, were forced to observe a strict vow of absolute silence for five full years upon entering the school. During this long probationary period, students were permitted only to listen to the master's lectures from behind a curtain without asking questions or seeing his face. This rigorous requirement was designed to test a student's self-control, filter out those who sought fast fame, and instill deep intellectual humility. Only after passing this five-year test were students admitted to the inner chamber, allowed to speak, and granted full membership as esoteric members.

4. The Discovery of Irrational Numbers Was Met With Lethal Backlash

The Pythagoreans operated under a fundamental dogma that all things in the cosmos could be expressed as clean ratios of whole numbers. This rigid world view was shattered when a disciple named Hippasus of Metapontum mathematically proved that the square root of two is irrational. The discovery that a number could go on forever without repeating was considered an existential crisis that threatened cosmic harmony. Legend holds that the inner circle was so horrified by this mathematical heresy that they drowned Hippasus at sea to keep the secret buried. While modern historians debate whether Hippasus was executed or merely banished, the story highlights how deeply religious mathematics was to the cult.

5. He Claimed to Possess a Golden Thigh and Divine Lineage

Pythagoras did not view himself as a mere mortal teacher, and his followers frequently treated him as a divine figure on Earth. According to ancient accounts, he possessed a golden thigh, a miraculous physical feature that he allegedly displayed to crowd members at the Olympic Games. Many of his devotees believed he was the physical incarnation of Hyperborean Apollo or at least the son of the sun god himself. Stories circulated that he could be in two places at once, converse with rivers, and tame wild beasts simply by speaking to them in a calm tone. These supernatural claims helped cement his unquestioned authority as both a religious prophet and a mathematical visionary.

6. His Absolute Fear of Beans May Have Led to His Death

His profound hatred for fava beans may have ultimately cost him his life during a political uprising against his society. Local citizens in Croton, angered by the cult's political influence and extreme secretiveness, burned down the house where the Pythagoreans met. Pythagoras fled for his life while pursued by an armed mob, but his escape route was suddenly blocked by a thriving field of fava beans. Refusing to step into the bean field due to his religious convictions, he stopped at the boundary and declared he would rather die than pollute his soul. His pursuers caught up with him at the edge of the field and killed him on the spot.

7. He Was Considered the Father of Ethical Vegetarianism

Pythagoras is widely recognized by historians as the intellectual father of ethical vegetarianism in the Western world. His refusal to eat meat stemmed from his belief in metempsychosis, the idea that human souls migrate into animal bodies after death. For more than two millennia, abstaining from meat for moral or spiritual reasons was not called vegetarianism, but rather following the Pythagorean diet. The phrase "vegetarian" was only coined in the mid-19th century when the Vegetarian Society was founded in England. Until that modern rebranding, anyone adhering to a plant-based lifestyle was simply described as a disciple of Pythagoras.

8. He Connected Musical Harmony Directly to Mathematical Ratios

Pythagoras was among the first thinkers to uncover the deep structural connection between physical music and mathematical ratios. Legend states that while passing a blacksmith's shop, he noticed that different hammers striking iron anvils produced different musical tones. By investigating the weights of the hammers, he realized that harmonious musical intervals correspond to simple whole-number ratios of string lengths. An octave corresponds to a ratio of 2:1, a fifth to 3:2, and a fourth to 4:3. This breakthrough proved to his followers that intangible aesthetic beauty was fundamentally governed by exact mathematical laws.

9. He Wrote Absolutely Nothing Down During His Lifetime

Despite being one of the most famous names in ancient intellectual history, Pythagoras left behind no surviving writings of his own. He preferred to teach orally and kept his most sacred doctrines secret within his close-knit brotherhood. Everything modern historians know about his life and teachings comes from writings produced decades or centuries after his death by figures like Plato, Aristotle, Porphyry, and Iamblichus. Because these later authors blended historical accounts with mythical legends, separating the actual man from the myth remains challenging. Consequently, historians treat many biographical details about Pythagoras with cautious skepticism.

10. He Believed in Reincarnation and Remembered Past Lives

Central to his philosophical system was the belief in reincarnation and the immortality of the human soul. Pythagoras claimed that he could distinctly remember four of his previous lives, spanning across centuries of human history. He insisted that in one past life he was Euphorbus, a famous hero who was wounded during the Trojan War. To prove his claim, he visited a temple in Argos and immediately identified the weathered shield of Euphorbus hanging on the wall. On another occasion, he stopped a man from beating a dog because he claimed to recognize the voice of a deceased friend crying out in the animal's yelps.

11. He Was Among the First to Propose a Spherical Earth

Pythagoras was one of the earliest Western thinkers to propose that the Earth is a sphere rather than a flat disc. His reasoning was grounded in geometry and aesthetics rather than direct physical evidence or astronomical observation. He argued that the sphere was the most perfect and symmetrical of all three-dimensional geometric shapes. Since the cosmos was designed according to divine mathematical perfection, he reasoned that the Earth and all celestial bodies must be spherical. His philosophical deduction laid the groundwork for later Greek astronomers who mathematically proved the Earth's curvature.

12. His Followers Worshipped the Tetractys and the Number Ten

The Pythagorean cult held numbers in spiritual awe, treating the number ten as the most sacred number in existence. They represented ten using a triangular figure called the Tetractys, composed of ten points arranged in four rows of one, two, three, and four. The sum of the first four integers equals ten, which the cult believed symbolized the complete structure of the physical universe. Members of the brotherhood swore their most solemn oaths by the Tetractys, viewing it as a divine key to universal understanding. The symbol combined arithmetic, geometry, and mystical theology into a single sacred emblem.

13. He Enforced Bizarre Cryptic Maxims for Everyday Life

Beyond high philosophy, Pythagoras burdened his followers with a bizarre list of everyday rules and symbolic prohibitions called acusmata. Followers were commanded never to "eat the heart," a metaphor warning them not to consume themselves with excessive grief or anger. Another rule instructed them never to "poke the fire with a sword," which symbolically cautioned against provoking angry people into conflict. Other strange maxims included never stepping over a crossbar, always putting the right shoe on first, and never smoothing out bedsheets after rising. These cryptic sayings served as a daily code that reinforced mindfulness, discipline, and devotion to the school's secret doctrines.

14. The Pythagoreans Lived in a Strict Possessions-Free Commune

The inner core of Pythagorean disciples operated as an exclusive religious commune in the city of Croton. Upon entering the school, followers surrendered all private property and personal wealth into a shared communal fund. Men and women lived together under equal conditions, which was remarkably progressive for ancient Greek society where women were usually excluded from intellectual life. Every aspect of their routine, from their plant-based meals to their daily physical exercises, was strictly managed by communal rules. This collective lifestyle fostered deep solidarity among members while increasing the suspicion and hostility of outsiders.

15. He Believed Celestial Bodies Produced a Cosmic Symphony

Pythagoras introduced the concept of Musica Universalis, commonly known as the Music of the Spheres. He postulated that the movement of heavenly bodies—the Sun, Moon, and planets—produced harmonious hums based on their orbital distances and speeds. Just as different musical pitch depends on string length, celestial distances were thought to produce distinct musical notes in space. Pythagoras claimed that this cosmic symphony played continuously throughout the universe, though ordinary humans were so accustomed to it from birth that they could not hear it. He alleged that through spiritual purity and intense meditation, he alone was capable of hearing the music of the cosmos.