## Discovering the Philosophical Ideas of Pythagoras

Pythagoras is one of the most famous Greek philosophers, whose ideas and
theories had an immense influence on ancient Greece. His philosophy to life was
centered around mathematics, stressing the importance of numbers in order to
understand the world. He also advocated a vegetarian lifestyle, with a strong
emphasis on community and collective well-being. In this post, we'll explore
Pythagoras's philosophical ideas and how they shaped his view of the world and
our lives today.

## Pythagoras a Mathematician (570- 495) BCE |

# Who is Pythagoras and what did he do ?

## biography about Pythagoras

### Discovering the Philosophical Ideas of Pythagoras

Pythagoras was an influential philosopher and mathematician who brought a unique perspective to understanding the world through numbers and equations. He believed that at the center of many patterns which exist in nature, there is mathematical harmony and order. His teachings focus on the fundamental principles of mathematics, astronomy, music, and ethics, and have been studied for centuries. His ideas have contributed greatly to modern philosophy and are highly relevant today.

In addition to mathematical contributions, Pythagoras had a great impact on
philosophy and religion.

### What did Pythagoras say about beans

He founded a religion, of which the main tenets were the transmigration of souls Ã¢€ and the sinfulness of eating beans. His religion was embodied in a religious order, which, here and there, acquired control of the State and established a rule of the saints. But the unregenerate hankered after beans, and sooner or later rebelled. Some of the rules of the Pythagorean order were:

## Pythagoras Greek god

## Pythagorean mysticism

### Pythagoras reincarnation

## What are Pythagoras philosophy of ethic

The changes in the meanings of words are often very instructive. I spoke above about the word "orgy"; now I want to speak about the word "theory." This was originally an Orphic word, which Cornford interprets as "passionate sympathetic contemplation." In this state, he says, "The spectator is identified with the suffering God, dies in his death, and rises again in his new birth." For Pythagoras, the "passionate sympathetic contemplation" was intellectual, and issued in mathematical knowledge. In this way, through Pythagoreanism, "theory" gradually acquired its modern meaning; but for all who were inspired by Pythagoras it retained an element of ecstatic revelation. To those who have reluctantly learnt a little mathematics in school this may seem strange; but to those who have experienced the intoxicating delight of sudden understanding that mathematics gives, from time to time, to those who love it, the Pythagorean view will seem completely natural even if untrue. It might seem that the empirical philosopher is the slave of his material, but that the pure mathematician, like the musician, is a free creator of his world of ordered beauty.

### contribution of Pythagoras to mathematics

## Pythagoras theorem numerology

One of the most famous results of Pythagoras' theories was his theorem that the square of the hypotenuse (the longest side of a right-angled triangle) is equal to the sum of the squares of the other two sides. This theorem forms one of the foundations for modern geometry and has become known as The Pythagorean Theorem. Additionally, it played an important role in establishing mathematics as an essential tool for understanding and describing nature, rather than just abstract knowledge.

*m*2/

*n*2 = 2. If m and n have a common factor, divide it out; then either m or n must be odd. Now

*M*2 = 2

*n*2, therefore

*M*2 is even, therefore m is even; therefore n is odd. Suppose

*m*= 2

*p*. Then 4

*p*2 = 2

*n*2, therefore

*n*2 = 2

*p*2 and therefore n is even, contra hyp. Therefore no fraction m/n will measure the hypotenuse. This argument proved that, whatever unit of length we may adopt, there are lengths which bear no exact numerical relation to the unit, in the sense that there are no two integers

*m*,

*n*, such that

*m*times the length in question is n times the unit. This convinced the Greek mathematicians that geometry must be established independently of arithmetic.

### Pythagoras math and music

Pythagoras is best known for his contributions to mathematics, but he was
also an important figure in philosophy and music theory. He discovered the
mathematical ratios behind musical harmony and consonance, developing the
foundational theory of acoustics. His belief that whole numbers represented the
harmonious structure of the universe also inspired Greek philosophers to
explore the connections between mathematics and divinity.

music theory were particularly influential and included the idea that various ratios between frequencies create pleasing harmonies. He even believed that planets’ orbits emitted melodies, or a celestial harmony, as they moved through space. He is also credited as coming up with the first known theory of natural selection and argued that a species adapts to its environment in order to survive. This set him apart from other pre-Socratic philosophers who accepted natural phenomena as divine or random occurrences.

The combination of mathematics and theology, which began with Pythagoras It is only in quite recent times that it has been possible to say clearly where Pythagoras was wrong. I do not know of any other man who has been as influential as he was in the sphere of thought. I say this because what appears as Platonism is, when analysed, found to be in essence Pythagoreanism. The whole conception of an eternal world, revealed to the intellect but not to the senses, is derived from him.

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