Pythagoras

Pythagoras

Pythagoras must have been one of the world's greatest men. However, he wrote nothing and

it is unknown how much of the doctrine of Pythagoras is due to the founder of society and

how much is later development. Sometimes he is represented as a man of science, a

mathematician, and even as a preacher of mystical doctrines. None of these traditional

views, however, should be rejected, for he contributed his genius in each field.

Pythagoras lived from about 569 BC to about 475 BC. His father was Mnesarchus, a merchant

from Tyre; his mother was Pythais, a native of Samos. Pythagoras spent most of his early

years in Samos but traveled with his father. He was taught by the Chaldeans and the

learned men of Syria. Among his teachers, there were three philosophers who influenced

Pythagoras while he was a young man, Pherekydes, Thales, and Aleximander. They influenced

Pythagoras' interest in geometry and cosmology, encouraging him to pursue his studies in

Egypt. In 535 BC, Pythagoras went to Egypt where he visited many temples and took part in

many discussions with priests. Then, after his journeys to Samos and Crete, Pythagoras

founded a philosophical and religious school in Crotona. He was the head of the society

with an inner circle of followers known as mathematikoi.

Pythagoras

Pythagoras must have been one of the world's greatest men. However, he wrote nothing and

it is unknown how much of the doctrine of Pythagoras is due to the founder of society and

how much is later development. Sometimes he is represented as a man of science, a

mathematician, and even as a preacher of mystical doctrines. None of these traditional

views, however, should be rejected, for he contributed his genius in each field.

Pythagoras lived from about 569 BC to about 475 BC. His father was Mnesarchus, a merchant

from Tyre; his mother was Pythais, a native of Samos. Pythagoras spent most of his early

years in Samos but traveled with his father. He was taught by the Chaldeans and the

learned men of Syria. Among his teachers, there were three philosophers who influenced

Pythagoras while he was a young man, Pherekydes, Thales, and Aleximander. They influenced

Pythagoras' interest in geometry and cosmology, encouraging him to pursue his studies in

Egypt. In 535 BC, Pythagoras went to Egypt where he visited many temples and took part in

many discussions with priests. Then, after his journeys to Samos and Crete, Pythagoras

founded a philosophical and religious school in Crotona. He was the head of the society

with an inner circle of followers known as mathematikoi.

Pythagoras influenced a group of early Greek scientific and religious thinkers, the

Pythagoreans. They believed that the soul was immortal and separable from the body.

Because they believed that the soul was reincarnated in different animal bodies, they

practiced vegetarianism. The group was almost cult-like in that it had symbols, rituals

and prayers. In addition, Pythagoras believed that "Number rules the universe," and the

Pythagoreans gave numerical values to many objects and ideas. These numerical values, in

turn, were endowed with mystical

and spiritual qualities.

The Pythagoreans discovered irrational numbers. If an isosceles right triangle is taken

with legs of measure 1, the hypotenuse will measure square root of 2. However, because

this number cannot be expressed as a length that can be measured with a ruler divided into

fractional parts, it deeply disturbed the Pythagoreans who believed that "All is number."

They called these numbers "alogon," which means "unutterable." So shocked were the

Pythagoreans by these numbers that they put to death a member who dared to mention their

existence to the public. There are a couple of theorems attributed to Pythagoras or

rather, more generally, to the Pythagoras.

I. The sum of the angles of a triangle is equal to two right angles.

II. For a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.

In ancient times, the Egyptians used their knowledge of the Pythagorean Theorem to

construct right angles. They knotted ropes with units of 3, 4, and 5 knot spaces. Then,

Pythagoreans. They believed that the soul was immortal and separable from the body.

Because they believed that the soul was reincarnated in different animal bodies, they

practiced vegetarianism. The group was almost cult-like in that it had symbols, rituals

and prayers. In addition, Pythagoras believed that "Number rules the universe," and the

Pythagoreans gave numerical values to many objects and ideas. These numerical values, in

turn, were endowed with mystical

and spiritual qualities.

The Pythagoreans discovered irrational numbers. If an isosceles right triangle is taken

with legs of measure 1, the hypotenuse will measure square root of 2. However, because

this number cannot be expressed as a length that can be measured with a ruler divided into

fractional parts, it deeply disturbed the Pythagoreans who believed that "All is number."

They called these numbers "alogon," which means "unutterable." So shocked were the

Pythagoreans by these numbers that they put to death a member who dared to mention their

existence to the public. There are a couple of theorems attributed to Pythagoras or

rather, more generally, to the Pythagoras.

I. The sum of the angles of a triangle is equal to two right angles.

II. For a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.

In ancient times, the Egyptians used their knowledge of the Pythagorean Theorem to

construct right angles. They knotted ropes with units of 3, 4, and 5 knot spaces. Then,