Pythagoras – math as sacred and spiritual?
Born Approximately 569 BCE, Samos, Greece
Died Approximately 500 - 475 BCE, Metapontum Italy
His "math cult" hahaha!
Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569 BCE. Various writings place his death between 500 BCE and 475 BCE in Metapontum, Lucania, Italy. His father, Mnesarchus, was a gem merchant. Pythagoras was well educated, and he played the lyre (a musical instrument) throughout his lifetime, knew poetry and recited Homer's Iliad from the top of his head. He was interested in mathematics, philosophy, astronomy and music.
Pythagoras left Samos for Egypt in about 535 BCE to study with the priests in the temples. Ten years later, when Persia invaded Egypt, Pythagoras was taken prisoner and sent to Babylon (in what is now Iraq), where he met the Magoi, priests who taught him sacred rites and theories. A philosopher living in Syria, wrote about Pythagoras, "He surely reached the peak of perfection in arithmetic and music and the other mathematical sciences taught by the Babylonians..." In 520 BCE, Pythagoras, now a free man, left Babylon and returned to Samos, and sometime later began a school called The Semicircle. His methods of teaching were not popular with the leaders of Samos, and their desire for him to become involved in politics did not appeal to him, so he left.
Pythagoras settled in Crotona, a Greek colony in southern Italy, about 518 BCE, and founded a philosophical and religious school where his many followers lived and worked. The Pythagoreans lived by rules of behavior, including when they spoke, what they wore and what they ate. Pythagoras was the Master of the society, and the followers, both men and women, who also lived there, were known as mathematikoi. They had no personal possessions and were vegetarians. They all worked communally on discoveries and theories.
Pythagoras believed:
All things are numbers. Mathematics is the basis for everything, and geometry is the highest form of mathematical studies. The physical world can understood through mathematics.
Pythagoras believed that both mathematics and music could purify one’s being.
Numbers have personalities, characteristics, strengths and weaknesses.
Certain symbols have a mystical significance.
All members of their society should observe strict loyalty and secrecy.
HIS MOST IMPORTANT FINDING IS BELOW!
[1] Because of the strict secrecy among the members of Pythagoras' society, it is difficult to be certain whether all the theorems attributed to Pythagoras were originally his, or whether they came from the communal society of the Pythagoreans. Some of the students of Pythagoras eventually wrote down the theories, teachings and discoveries of the group, but the Pythagoreans always gave credit to Pythagoras as the Master for: The sum of the angles of a triangle is equal to two right angles.
[2] The theorem of Pythagoras - for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. The Babylonians understood this 1000 years earlier, but Pythagoras proved it!
[3] Pythagoras taught that Earth was a sphere in the center of the Kosmos (Universe), that the planets, stars, and the universe were spherical because the sphere was the most perfect solid figure. He also taught that the paths of the planets were circular.
Pythagoras studied odd and even numbers, triangular numbers, and perfect numbers.
Pythagoreans contributed to our understanding of angles, triangles, areas, proportion, polygons, etc… The Pythagorean Theorem is a cornerstone of mathematics, and continues to be so interesting to mathematicians that there are more than 400 different proofs of the theorem.
Pythagoras also related music to mathematics. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the lengths of the strings were proportional to whole numbers, such as 2:1, 3:2, 4:3. Pythagoreans also realized that this knowledge could be applied to other musical instruments.