Pythagoras – Numbers

The Mastermind Who Founded a “Math Cult” and Unlocked the Universe’s Code with Numbers

Pure as Melody, Order & Harmony

Character Introduction and Historical Background

Pythagoras (Greek: Πυθαγόρας) lived in ancient Greece during the 6th century BC. Today, the vast majority of people know him because of the “Pythagorean theorem” ($a^2 + b^2 = c^2$) found in middle school math textbooks. But if you think he was just a mathematician wearing thick glasses, you are dead wrong.

In real history, he was actually more like a “cult leader.” He founded a secret religious organization called the “Pythagorean brotherhood” in southern Italy. This organization had extremely strict and even bizarre rules: members had to be vegetarians, pool all their property, maintain absolute secrecy, and were strictly forbidden from eating beans (it is said he believed beans contained the souls of the dead, or that flatulence from eating beans would disrupt spiritual cultivation).

The craziest anecdote is this: when one of his students, Hippasus, discovered “irrational numbers” (like √2, a non-repeating infinite decimal that cannot be expressed as a fraction), it shattered the school’s core belief in “perfect integers.” Legend has it that the members actually threw this student into the sea to drown in order to keep this “terrifying secret” safe.

Core Philosophy and Metaphors

The core question Pythagoras explored was: “If the origin of the world is not some physical substance (like water or fire), then what exactly is it?”

His core philosophy is summarized in a world-shaking concept: “All things are numbers.”

He believed that the essence of the universe is not matter, but “structure,” “proportion,” and “order.”

The Metaphor of Music and Strings: Legend has it that he was once passing by a blacksmith’s shop and heard the varying pitches of hammers striking iron. Later, he experimented with lyre strings and made a shocking discovery: the most harmonious musical chords (such as octaves and fifths) occur when the ratio of the string lengths is exactly a simple integer ratio (like 1:2 or 2:3).

This discovery thrilled him beyond measure: it turned out that the “beauty” humans find pleasing to the ear is backed by cold “mathematical formulas”! He even further deduced that the orbital distances of the planets moving in the sky also conform to these perfect mathematical proportions. The entire universe is playing an inaudible “Music of the Spheres” every minute and every second.

Representative Works and Famous Quotes

Like many masters of that era, to maintain the secrecy of his school, Pythagoras insisted on oral transmission and left behind no written works. His thoughts were recorded by later disciples.

His two most astonishing famous quotes are:

“All things are numbers.”

( Πάντα ἀριθμός ἐστιν.)

This statement does not mean that the world is literally built out of Arabic numerals; rather, it means that behind any seemingly chaotic phenomenon, precise mathematical laws and logical structures are hidden.

“There is geometry in the humming of the strings, there is music in the spacing of the spheres.”

(Editor’s note: This beautiful quote is usually attributed to Pythagorean thought as a poetic summary by later generations. In strict ancient Greek textual research, it is not an original ancient Greek text passed down, but rather the most classic literary rewriting and interpretation of Pythagoras’s philosophy of the “Music of the Spheres” and “mathematical harmony” in the modern English-speaking world.)

This quote perfectly blends science and art. He believed the universe is not dead and silent, but a massive symphony orchestra operating according to strict mathematical proportions.

Modern Inspiration

If Pythagoras from over 2,500 years ago were to time-travel to today, he would definitely shout: “I told you so!” We modern people are living exactly in the “digital universe” he predicted.

The high-definition photos you see on your phone, the pop songs you listen to on Spotify, and even modern AI systems—at their lowest level, they are all broken down into countless 0s and 1s (binary digits). Pythagoras’s philosophy tells modern people: do not be deceived by the chaotic surface of things. When you encounter a messy problem in life or the workplace, try to detach yourself emotionally and look for the “underlying logic” and “data patterns” behind it. As long as you can find that hidden “proportion and structure,” you can—just like tuning a lyre string—strum a harmonious melody out of the chaos once again.