Thesis Statement
Protagoras denies a perfect form for all things, while Pythagoras clearly presents the better case with harmonia.
Pythagoras, known as “the father of numbers” through his Pythagorean Theorem is regarded as the first to seek for the form of all things . From Protagoras’s perspective, named as one of the “Sophists” by Plato, there would probably be no exact form for anything. Without an understanding of a true source from which all form flows with, we eliminate all possibility of discovering the greater truth form carries with it. Pythagoras on the other hand deeply searches for a reason for the cosmos in every function of life, and that, carries a significant purpose for form.

Mathematical formulas and ratios, Pythagoras claimed were at the very center of the physical world through which the form of matter could be explained. The Pythagorean perspective stresses that number is universal, "the principle, source, and root of all things" . The formula of the Tetras in which the number 10 is held as the nature of a number can be seen by far as the most solid argument for the form of all things. All four numbers which include one, two, three, and four when added come to equal ten, thus reflecting the essential source of nature and reality together, in which all the cosmos are arranged according to harmonia. Harmonia consists of a melodic framework of three chords where the ratio of the octave is 1:2, the fifth 2:3, and the fourth 3:4 . This phenomenon represents perfect proportionality to the universe by means of form. Now each chord retains its individual identity, but all are still proportionally connected together to form a larger musical scale, thus all three chords needing to be interdependent of one another. Like an ecosystem that works together with its given environment, it most importantly has to function as a unit, via symbiotic relationships . You see, our society works in a similar way as well by functioning as a whole. The trees...

...PythagorasPythagoras 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...

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Pythagoras of Samos
Pythagoras of Samos was born sometime around 569 BC and since then has been said to be a strange and mysterious man. There are no writings of Pythagoras himself but his teachings and beliefs continue to influence modern philosophers and scientists. Pythagoras was born on the Greek island of Samos in the Mediterranean Sea, and although information about his early life in Samos is unknown, it is known that the island of Samos was near an Ionian colony known to be famous for being the birthplace of Greek Philosophy. During this time the Island of Samos was being ruled by the tyranny of Polycrates, who had come to power in 538 BC. Pythagoras felt the need to escape from this dictator which led him to southern Italy, the town of Croton, where he began a very important period in his lifewhich made him an important figure in Western intellectual history. Although the details on his personal life and scriptures are sketchy Pythagoras' cosmological, philosophical and mathematical theories, such as the Pythagorean Theorem, are still relevant and widely used today.
There were many philosophers who influenced Pythagoras while he was a young man, but the biggest influence of all was Pherekydes the teacher of Pythagoras who was a Greek thinker from the island of Syro’s. Thales and Anaximander introduced Pythagoras to...

...The Greek philosopher, scientist, and religious teacher Pythagoras developed a school of thought that accepted the passage of the soul into another body and established many influential mathematical and philosophical theories.
Early life
Born on the island of Samos, off Greece, in the Mediterranean Sea, Pythagoras was the son of Mnesarchus. Little is known about his early life. After studying in Greece, he fled to southern Italy to escape the harsh rule of Polycrates (died c. 522 B.C.E. ), who came to power about 538 B.C.E. Pythagoras is said to have traveled to Egypt and Babylon during this time.
Pythagoras and his followers became politically powerful in Croton in southern Italy, where Pythagoras had established a school for his newly formed sect, or group of followers. It is probable that the Pythagoreans took positions in the local government in order to lead men to the pure life that was directed by their teachings. Eventually, however, a rival group launched an attack on the Pythagoreans at a gathering of the sect, and the group was almost completely destroyed. Pythagoras either had been forced to leave Croton or had left voluntarily shortly before this attack. He died in Metapontum early in the fifth century B.C.E.
Religious teachings
Pythagoras and his followers were important for their contributions to both religion and science. His...

... but they didn’t notice it. If you count how many sheep you have, that’s math. So when people use math, they didn’t know they were using it. The Romans used Roman Numerals and noticed math. So they know how to use it. That is where numbers got their name.
In Babylon and Egypt, the people first started using theoretical tools and numbering systems. The Egyptians used a decadic numbering system, which is based on the number 10 and still in use today. They also introduced characters used to describe the numbers 10 and 100, making it easier to describe larger numbers. Geometry started to receive great attention and served in surveying land, cities and streets. The Babylonians discovered the Pythagorean theorem. They understood it before Pythagoras was even born. The Babylonians also found out the approximate value of r^2. In India, Aryabhata calculated the number p to its fourth decimal point, managed to correctly forecast eclipses and, when solving astronomical problems, used sinusoidal functions.
As I woke up , I noticed that it’s unusually noisy outside our house. I clean myself up and ask my mom what was happening. Mom told me, ”Oh, they are making another pyramid. The pharaoh was found dead last night.” I thought to myself, that’s why its unusually noisy outside. Anyway, pyramids are made to honor the pharaoh. They are arguing and computing the measurement of the height of the pyramid. I watch the architects doing their work. Suddenly, it was my time...

...PYTHAGORAS OF SAMOS
Pythagoras of Samos, more commonly known as Pythagoras is recognized as the world’s first mathematician. Pythagoras’ image is mysterious because none of his writings are published, and the ‘society he led, half religious and half scientific, followed a code of secrecy’ (O’Connor and Robertson, 1993). He was born c575 BC in Samos, Greece, and was killed in c495 BC. Details about Pythagoras can be found in early biographical writings who would write of him having ‘divine powers’ and ‘present him as a god-like figure.’ (O’Connor and Robertson, 1993). Overall, stories that have been written about Pythagoras and his journey are generally seen as legend.
Historians accept that Pythagoras spent his childhood in Samos and traveled with his father, a merchant. He was schooled by tutors in Chaldea and Syria, was able to ‘play the lyre, learn poetry and recite Homer (O’Connor and Robertson, 1993). His greatest influences were his teachers Pherekydes, Thales, and Anaximander. Thales and Anaximander were the two who ‘introduced him to mathematical ideas’ (O’Connor and Robertson). He was noted to have left Green for southern Italy to flee the cruel government led by Polycrates. He also is to have traveled to Egypt and Babylon during his travels and eventually self-imposed exile.
While in Egypt, Pythagoras explored many temples and spoke to...

...Pythagoras:
A Universe made of Numbers
PART 1 Pythagoras & His Philosophy
Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet there is relatively little known about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, there is nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure. This does not mean that we cannot gain some incite on who he was or what he taught or believed, because there are details of Pythagoras's life from early biographies which use important original sources. Yet these biographies are written by authors who attribute divine powers to him, and whose aim was to present him as a god-like figure. What will be presented in the rest of this paper is an attempt to collect together the most reliable sources to reconstruct an account of Pythagoras's meta-physic, epistemology, and ethics, but first, in order to understand Pythagoras more fully, a brief journey into his life will be dealt with first.
Pythagoras was born in 580 B.C. to a more than wealthy family. He received the finest formal education in gymnastics, music, mathematics, and natural sciences and was...

...Research Paper: Pythagoras
Today, the Pythagorean Theorem is a mathematical idea studied in classrooms all over the world. It was developed hundreds of years ago by Pythagoras, a Greek man, who was not only a mathematician, but a philosopher, a scientist, and a religious leader as well. In his lifetime, Pythagoras discovered and developed many new ways of thinking, and his teachings attracted followers from all over the ancient world.Pythagoras was a brilliant thinker who made many revolutionary discoveries in math and science. His ideas spread all throughout the ancient world and had a lasting impact on the people of the ancient world as well as people today.
Behind every brilliant thinker is an excellent education. Pythagoras was born around 570 BCE on the island of Samos in Greece. His father, Mnesarchus, was a merchant, and he brought Pythagoras along with him on many of his journeys around the Mediterranean. These travels exposed Pythagoras to extensive knowledge and new ideas from countless different places. During the time of Pythagoras, Samos was one of the most powerful Greek islands, and its people experienced a time of great prosperity and achievement. Trade with other Greek cities as well as Egypt contributed to economic growth and inspired interest in math and astronomy. As a boy, Pythagoras was taught by many wise thinkers, and...

...Short Essay: Pre- Socratic Philosopher- Pythagoras
Introduction
Pre-Socratic philosophers are Greek thinkers of the 5th and 6th century who first explored the world and the position man hold in it. They were attributed as the first scientists and philosophers of the Western tradition. The Pre-Socratic philosophers made tremendous developments in philosophy, art, and science. Besides, they explored the nature in a rational way, making educated guesses about how the universe, the earth, and what is contained in it came into existence. This discourse examines Pythagoras, as one of Pre-Socratic philosophers. He is a personality who was more interested in mathematics rather than philosophy. His mathematical concept is still used presently. To this end, it is correct to assert that Pythagoras remains an important philosopher to date.
A Summary of the Pythagoras Ideas
The principal ideas of Pythagoras concerns numbers, a concept that has been handed down to other generations that have evolved since his time. His believe was that the entire universe comprised figures and could only be explained through numbers. According to him, numbers formed the principle in the universe and were used to limit or give shape to matter. His argument maintained that all that is contained in the universe was numbers since they could be quantified. He believed that if something could be counted, then it qualified...