Wait a second!
More handpicked essays just for you.
More handpicked essays just for you.
Pythagoras and his contributions
Life and contribution of Pythagoras in Mathematics
Background on pythagorean theorem
Don’t take our word for it - see why 10 million students trust us with their essay needs.
Recommended: Pythagoras and his contributions
For my research paper I chose to write about Pythagoras. I decided to choose Pythagoras because the Pythagorean theorem is one of the most used formulas in all of math, and I wanted to see who came up with the idea and get a little more information about the subject.
Pythagoras was born in 571 BC in Samos, Greece. He started out as a Greek philosopher and mathematician and is known as the first pure mathematician. Just like Jesus he was said to have many disciples who would follow him around wherever he went, learning from him and his teachings. Pythagoras was a very important figure in mathematics, astronomy, musical theory, and in the world’s history. Pythagoras traveled to an area known today as the southern coast of Italy. The area
…show more content…
Many of his accomplishments may have actually been accomplished through his students and disciples that he worked with as a mentor. One of his greatest students was Plato who would later become a very important philosopher in western history.
Neoplatonist’s writers who could provide the most details about his life often told the history of Pythagoras. There were many myths created about Pythagoras such as his father was Apollo, who also happened to be another great philosopher, that he gleamed with sort of a supernatural brightness, that he was born with a golden thigh, that Abaris came to him flying on a golden arrow and that he had been reported being seen in many places at a time. These myths were created because Pythagoras lived so long ago that no one could really tell for sure if these things were true.
In Pythagoras’ family life he was married to Theano and together they had a son, Telauges and three daughters, Damo, Arignote, and Myia, who married Milo of Croton. Milo was said to be a follower of Pythagoras. One of the things that “Pythagoras taught about was that the sun is a moveable sphere in the center of the universe that all other planets circle around”. Most of the people on earth at the time had thought that everything revolved around the earth so to hear otherwise was something that they found foolish and
…show more content…
One thing that I found interesting about him is that he lived a very long time ago. I had not realized how long ago he lived until I started to research him. Its amazing that his math formulas have stayed relevant for thousands of years and no one has been able to prove them wrong or has changed them in any way. I also found it interesting that he traveled all over the world in a time when world travel was not easy. He visited many different places such as Greece, Italy, Croton, and Somas. It seems like everywhere he went he made new followers and new disciples, and those followers became part of a society called Pythagoreans. I also found it interesting that Pythagoras was very much against any type of politics. His society in Croton was actually very much affected by the political events happening in the city. A fact that I found was fun was that he built many schools in Europe and some of them are still standing today. That means that they have survived thousands of
Through history, as said before, many philosophers have supported and developed what Pythagoras first exposed to the world. One of the most important philosophers to support Pythagoras’s ideas was Plato. In some of his writings he discusses the creation of the universe based on the musical proportions discovered by Pythagoras (Timaeus), and the explanation of the sound emitted by the planets, which is exposed in the “Myth of Er” in The Republic. It talks about a man who died and came back to life who narrates how he saw the space and how, in every “sphere,” there was a being singing constantly, each one in a different tone, so a perfect harmony was built. Nevertheless, not everyone agreed with this theory, being one of its most important critics Aristotle, who claimed that Plato’s arguments where false in his text On the Heavens.
He found areas and volumes of spheres, cylinders and plain shapes. He showed that the volume of a sphere is two-thirds of the volume of the smallest cylinder that can contain the sphere. Archimedes was so proud of this concept that he requested that a cylinder enclosed a sphere, with an explanation of this concept, be engraved on his grave. Archimedes also gave a method for approximating pi. He was able to estimate the value of pi between 3 10/71 and 3 1/7. Math wasn’t as sophisticated enough to find out the exact pi (3.14). Archimedes was finding square roots and he found a method based on the Greek myriad for representing numbers as large as 1 followed by 80 million billion zeros.
Throughout Socrates’ life and after his heroic death, Socrates had great influence over many of his students. Some of his students included Alcibiades, Critias, Plato, Aristotle, and Antisthenes. These students began writing literature contributing to the Socratic Dialogue.
The Greeks made other mathematical discoveries as well, however. Diophantus was the discoverer of fractions, and was an early scholar of algebra. Diphantus’ algebraic problems would become fruitful and inspiring mental exercises for future mathematicians for many centuries to come, like Plato’s Platonic Solids (Plato identified five three-dimensional shapes that were the only possible convex regular polyhedra) did for future mathematicians as well.
He used mathematics and observations to develop his understanding of the universe. This was key, because it showed how science could explain things instead of the church. As stated in (Document C) Ptolemy was a Roman astronomer who lived in Alexandria, Egypt, shortly after the time of Jesus. He developed a theory of the universe that was adapted by most scholars during the Middle Ages. Catholicism was the main view point of the way the world worked. Also that many different people had their own theories of the universe and the way the world
Greek mathematics began during the 6th century B.C.E. However, we do not know much about why people did mathematics during that time. There are no records of mathematicians’ thoughts about their work, their goals, or their methods (Hodgkin, 40). Regardless of the motivation for pursuing mathematical astronomy, we see some impressive mathematical books written by Hippocrates, Plato, Eudoxus, Euclid, Archimedes, Apollonius, Hipparchus, Heron and Ptolemy. I will argue that Ptolemy was the most integral part of the history of Greek astronomy.
One of the most well known contributors to math from Greece would be Archimedes. He
Ancient Greece's philosophers and mathematicians have made contributions to western civilizations. Socrates believed that a person must ask questions and seek to understand the world around them. Aristotle, another famous philosopher, is known for believing that if people study the origin of life, they will understand it more. Reasoning is what makes human beings unique. Hippocrates was a mathematician and a doctor. He created the Hippocratic oath. The oath states that Hippocrates will treat his patient to the best of his abilities that he will refuse to give deadly medicine. This oath is still used by doctors today. Another Greek mathematician was Euclid. His ideas were the starting point of geometry, which is still studied around the world today.
This source provided a lot of background information on Euclid and his discoveries. This source gave details about the many geometrical theories of Euclid, as well as his practical geometrical uses. This source also explained how geometry helped Greece a long time ago, and how it is used by many people everyday.
Euclides possessed a mysterious personal life, because his life was not documented and often confused with others. He taught many children mathematics during the reign of Ptolemy. His father and grandfather were thought to be Greek, but this is not certain considering the confusion between him...
Parmenides was a Pre-Socratic philosopher who lived from 515-445 B.C. He was born in Elea (now Velia), a Greek city in southern Italy. His city was at the far end of the known world on the other side of Greece where Heraclitus and the Ionians lived. He escaped his town to study in Athens, the center of the known world. Most likely he was a student of Anaximander and was also influenced greatly by the teachings of Pythagoras. Parmenides joined the religious and philosophical following of Pythagoras in Crotona.
Pythagoras held that an accurate description of reality could only be expressed in mathematical formulae. “Pythagoras is the great-great-grandfather of the view that the totality of reality can be expressed in terms of mathematical laws” (Palmer 25). Based off of his discovery of a correspondence between harmonious sounds and mathematical ratios, Pythagoras deduced “the music of the spheres”. The music of the spheres was his belief that there was a mathematical harmony in the universe. This was based off of his serendipitous discovery of a correspondence between harmonious sounds and mathematical ratios. Pythagoras’ philosophical speculations follow two metaphysical ideals. First, the universe has an underlying mathematical structure. Secondly the force organizing the cosmos is harmony, not chaos or coincidence (Tubbs 2). The founder of a brotherhood of spiritual seekers Pythagoras was the mo...
Plato adopted many ideas from his mentor Socrates but also collected some ideals from the influential people of his time such as Homer and Heraclitus. Like Socrates, Plato dealt with matters of morals
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).