Pythagorus

Pythagoras (born about 580 B.C.E.) was a Greek philosopher best known today for his mathematical theorems. He was better known in his own time for his philosophy of the mind and soul which put an emphasis upon purity and catharsis. While few of his or his followers’ writings are extant, it was believed that he promoted health through a special vegetarian diet.

COCCHI, ANTONIO. DEL VITTO PITAGORICO. (FIRENZE: FRANCESO MOÜCKE, 1743).

Antonio Cocchi legitimized his theories about vegetarianism by citing Pythagoras.

Pythagoras: The Mathematician and Philosopher

Pythagoras of Samos, a preeminent figure in ancient Greek history, is best known for his contributions to mathematics, particularly the Pythagorean theorem. However, his influence extends beyond mathematics into philosophy, music, and religious thought.

Early Life and Education

Pythagoras was born around 570 BCE on the island of Samos, Greece. Little is known about his early life, but it is believed that he traveled extensively in his youth, visiting Egypt and Babylon. These travels exposed him to a variety of mathematical and philosophical ideas, which would later influence his own teachings. Pythagoras eventually settled in Croton, a Greek colony in southern Italy, where he established a religious and philosophical school.

The Pythagorean School

The Pythagorean school was not just an educational institution but also a religious community. Pythagoras and his followers, known as Pythagoreans, adhered to a strict way of life that included dietary restrictions, communal living, and a focus on spiritual purification. The school emphasized the study of mathematics, music, and astronomy, believing that these disciplines were interconnected and could lead to a deeper understanding of the universe.

Core Beliefs and Teachings

1. Mathematics as the Foundation of Reality: Pythagoras believed that numbers were the essence of all things. This idea laid the groundwork for the concept of mathematical harmony in the universe. The Pythagoreans explored numerical relationships and patterns, which they believed revealed the underlying order of the cosmos.

2. The Pythagorean Theorem: Perhaps the most famous contribution of Pythagoras is the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem is a fundamental principle in geometry and has numerous applications in various fields.

3. Harmony and Music: Pythagoras discovered that musical harmony is based on mathematical ratios. He found that the intervals between harmonious musical notes could be expressed as simple numerical ratios, such as 2:1 for an octave. This discovery reinforced his belief in the mathematical nature of reality.

4. Reincarnation and the Soul: Pythagoras taught that the soul is immortal and undergoes a cycle of reincarnation. He believed that the soul could achieve purification and ultimately liberation through philosophical contemplation and virtuous living.

Influence on Mathematics and Science

Pythagoras's emphasis on mathematics as a tool for understanding the world had a profound impact on the development of science. His ideas laid the groundwork for future mathematicians and scientists, including Euclid, who expanded on Pythagorean concepts in his work "Elements." The Pythagorean theorem remains a cornerstone of geometry and is still taught in schools worldwide.

Contributions to Astronomy

Pythagoras and his followers made significant contributions to astronomy. They were among the first to propose that the Earth is spherical and that celestial bodies move in circular orbits. These ideas were revolutionary at the time and influenced later astronomers, such as Copernicus and Kepler.

Philosophical Legacy

Pythagoras's philosophical teachings had a lasting impact on Western thought. His ideas about the nature of reality, the soul, and the pursuit of knowledge influenced later philosophers, including Plato and Aristotle. The Pythagorean emphasis on reason and logic as tools for understanding the world became foundational principles in Western philosophy.

The Pythagorean Brotherhood

The Pythagorean school functioned as a brotherhood, with members adhering to a strict code of conduct. This communal lifestyle and emphasis on ethical behavior influenced later philosophical movements, such as Stoicism and Neoplatonism. The Pythagorean focus on self-discipline and the pursuit of wisdom continues to resonate in contemporary philosophical discussions.

Pythagoras in Popular Culture

Pythagoras's legacy extends beyond academia into popular culture. His name is often associated with the mystical and esoteric, and he is sometimes depicted as a sage or magician. The Pythagorean theorem is frequently referenced in literature, art, and media, symbolizing the power of mathematical insight.

Modern Interpretations

In modern times, Pythagoras is celebrated as a pioneer of mathematical thought and a symbol of the quest for knowledge. His teachings continue to inspire mathematicians, scientists, and philosophers, who see in his work a testament to the enduring power of reason and inquiry.