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Other Greek Educators edit
Pythagoras (570 - 490 BCE) edit
Pythagoras was one of many Greek philosophers. He lived his life on the island Samos and is known for his contributions to mathematics. Pythagoras taught philosophy of life, religion and mathematics in his own school in Crotona, which is a greek colony. Pythagoras' school is linked to the theorem that states that the sum of the two other sides is equivalent to the square on the hypotenuse of a right-angled triangle. The students of Pythagoras were known as pythagoreans.
Pythagoreans
Pythagoreans followed a very specific way of life, they were famous for friendship, unselfishness, and honesty. The pythagoreans also believed in a life after the current which drove them to be people who have no attachment to personal possessions everything was communal; they were also vegetarians. The people in a pythagorean society were known as mathematikoi.[1]
Pythagoras Teachings
There are two forms that Pythagoras taught, Exoteric and Esoteric. Exoteric was the teaching of generally accepted ideas. These courses lasted three years for mathemoki. Esoteric was teachings of deeper meaning. These teachings did not have a time limit. They were subject to when Pythagoras thought the student was ready. In Esoteric, students would learn philosophy of inner meanings.[1] The focus of Pythagoras in his Exoteric teachings were ethical teachings. Here, he taught the idea of the dependence of opposites in the world; the dynamics behind the balance of opposites. Along with the more famous achievements, Pythagoreans were taught various mathematical ideas. They were taught the following; Sum of Angles in a triangle, Pythagorean theorem, irrational numbers, five specific regular polygons, and that the earth was a sphere in the center of the universe. Many people believed that the mathematical ideas that Pythagoras brought to the table allowed reality to be understood. Whether reality was seen as ordered or if it just had a geometrical structure. Even though Pythagoras has many contributions to mathematics, his most known theory is that things themselves are numbers.[2] Pythagoras has a unique teaching style. He never appeared face to face to his students in the exoteric courses. Pythagoras would set a current and face the other direction to address them. The students upon passing their education become initiated to be disciples. Pythagoras was much more intimate with the initiated and would speak to them in person. The specialty taught by pythagoras was his theoretical teachings. In the society of Crotona, Pythagoras was known as the master of all science and brotherhood.[1]
Rules of the School
Unlike other education systems of the time, men and women were allowed to be Pythagorean. The Pythagorean students had rules to follow such as, abstaining from beans, not picking up items that have fallen, not touching white chickens, could not stir fir with iron, and not looking in a mirror that was besides a light.[3]
Mathematics and Music
Some of Pythagoras’s applications of mathematics can be seen in his musical relationship to mathematics. The idea of proportions and ratios. Pythagoreans are known for formulating the numerical concords and harmony. They put together sounds by the plucking of a string. The fact that the musician meant to pluck it at a mathematically expressible point. However, if the mathematical proportion between the points on the string were to be broken, the sound would become unsettled.
School's Dictum
Pythagorean school had a dictum that said All is number. This means that everything in the world had a number that described them.[4] For instance, number six the number that relates to creation, number five is the number that relates to marriage, number four is the number that relates to justice, number three is the number that relates to harmony, number two is the number that relates to opinion, and number one is the number that relates to reason.[3]
Pythagorean Society was very secretive, the education society was based around the idea of living in peace and harmony, but secretly. Due to the education and society being so secretive, not much is known about the Pythagorean people.
Notes edit
- ^ a b c "Biography of Pythagoras - math word definition - Math Open Reference". www.mathopenref.com. Retrieved 2017-11-07.
- ^ "Pythagoras". www2.stetson.edu. Retrieved 2017-11-07.
- ^ a b "Pythagoras and the Pythagoreans". www.math.tamu.edu. Retrieved 2017-11-08.
- ^ Gower, Timothy (2008). Princeton Companion to Mathematics. Princeton University: Princeton University Press. pp. 200–208. ISBN 9781400830398.
~~~~ I thought the article was great. The only problem I had with it was the fact that one of your sentences was a bit repetitive. "For instance, number six the number that relates to creation, number five is the number that relates to marriage, number four is the number that relates to justice, number three is the number that relates to harmony, number two is the number that relates to opinion, and number one is the number that relates to reason."[1] -Ben Jackson
Overall, there is good information in this article; however, the format seems very choppy and could be organized better. It seems that the article is composed of mostly simple, unconnected sentences. In order to make the article flow better, consider adding a couple subsections to group details that relate to each other and combining ideas into sentences with different structures to give more variety and complexity to the article, making it more enjoyable to read. I caught one sentence fragment- “The idea of proportions and ratios.”
The information you have found Pythagorean education is very good, but the article needs some formatting work to make it flow better for the reader. Drnewell29 (talk) 18:38, 26 November 2017 (UTC)
I agree with both Ryan and Ben in reviewing the article. The information under the heading is very repetitive. Maybe try a bullet list for better flow and less repetition. There is a lot of information to cover the topic, but all the information doesn't flow well. Try expanding on the topics so the readers can better understand them. Go into detail more. - Madison Mayfield