FC: Pythagoras Greek Philosopher and Mathematician | How Do We Know the Truth? | Nikhil Bharani Period: 1
1: Who was Pythagoras? | Pythagoras was an ancient Greek philosopher who a was very interested in mathematics and the various truths of math, especially in Geometry. He was born around 569 BC and died around 475 BC. Pythagoras was born in Samos, Ionia but later moved to Italy. He contributed greatly and made many memorable developments in Mathematics, Music, and Astronomy and is also referred to as the one greatest mathematicians and philosophers.
3: What was Pythagoras' Educational Background? | Pythagoras was a well-educated person. Young Pythagoras was influenced greatly by his mentors, who were also philosophers, Pherekydes, Thales, and his pupil Anaximander. He also travelled to Egypt in hopes of becoming acquainted with the institutions of the various famous Egyptian priests. Also, he was able to acquire knowledge and experience in arithmetic, geometry, music, philosophy, and many fields in science. After learning much from travelling to various places such as Egypt and Italy, Pythagoras started his pursuit of truth.
4: Pythagoras' Achievements
5: Astronomy | Pythagoras contributed greatly in the field of Astronomy and also formulated many theories that would prove to be vital and important today in this field. He was arguably the first to come up with the notion that “the Earth orbits around a central fire [the Sun].” He also concluded that the Earth was round. Alongside his pupils in his school, he stated that everything revolved around the Earth, which was later disproved. Learning a lot about Astronomy during his time with the Egyptians, Pythagoras was also the first to realize that Venus, during the evening, was exactly the same as a morning start.
6: One of the most famous and still used achievements by Pythagoras was his “Pythagorean Theorem” in Mathematics. This geometric theorem stated that, “In any given right-angled triangle, the area of the square of whose side is the hypotenuse (opposite side to right angle) is equal to the sum of the areas of the squares whose sides are the two legs (other two sides).” Alongside the formula, A^2 + B^2 = C^2, this theorem revolutionized many things in geometry today.
7: Music and Math | Pythagoras believed that Math and Music were two aspects that were interconnected and similar. After a lot of experimenting and observing, Pythagoras concluded that Mathematics and Music were connected through the fact that the musical instruments vibrated corresponding to their ratio. Additionally, Pythagoras’ ability to relate the key subjects in which he devoted his life to indicates that his in his journey of truth, Pythagoras was open-minded to many thoughts and ideas.
8: Tetractys | Tetractys was yet another imperative contribution made by Pythagoras in Mathematics. It was basically a triangular figure which comprised of ten points formatted in four rows giving the impression of a pyramid. Having its own geometric importance, Tetractys also was considered a mystical and sacred symbol by Pythagoreans. They were taught to worship this symbol and even take an oath to it, as they believed they could gain some of powers from it and attain a pure and peaceful mind.
9: Pythagoras' School for Philosophy, Mathematics, and Religion | In addition, in his later years, Pythagoras founded a philosophical, religious, and mathematical school. This school had many followers and followed many strict rules such as all information must be shared with fellow Pythagoreans and that any information found in any field could not be distributed to the outside world. The fact that he founded a school on the basis of the various truths that he was pursuing indicates that Pythagoras was dedicated to the many fields he contributed in.
10: Metempsychosis | Metempsychosis was the religion in which Pythagoras greatly emphasized upon in his school. In this religion, the main, basic, belief was reincarnation. He believed that the soul is a self-moving number that experiences a form of this metempsychosis and that all objects were fundamentally formed from numbers. In addition, the Pythagorean Doctrine recited many of the sacred, cultural practices that must be completed.
11: Teacher and Tutor | Furthermore, Pythagoras was a mentor and tutor for many famous historical figures. His influence spread widely among the Greek people, as his ideals in Mathematics, Astronomy, Religion, and the many other fields he contributed in were distributed. For example, he taught a few things and greatly influenced the historical figure Plato. Pythagoras, through teaching and tutoring was able to expand his truth into many aspects and topics. Founding his own school and influencing greatly, he was emulated by many. | Teacher and Tutor
12: Egypt | At one point in his life, Pythagoras decides to go to Egypt with the thought of attaining the knowledge of the priests. Thaletes, a closely related person to Pythagoras, influenced him greatly to go to Egypt. This was because, already being trained there, Thaletes wanted Pythagoras to learn from the priests who instructed him to acquire the title “learned man.” He learned many things in Egypt such as Mathematics, Music, Astronomy, and Religion, all truths that he comes to master.
13: Finally, What is truth to Pythagoras? | In conclusion, truth to Pythagoras is many things. These things, though, are all aspects that branch off of what Pythagoras has possibly spent his whole life doing: Mathematics. For example, his Tetractys had a great importance in Mathematics especially in Geometry and also lead up to many other important contributions, such as the worshiping of it. Furthermore, astronomy, religion, and music are all the main aspects that branched off of Mathematics. As Pythagoras continuously expresses that Mathematics is the basis for everything, the ultimate truth for him is Mathematics, which he, with a open-mind.
14: Positives and Negatives | Positives: - Contributed greatly in Mathematics, Astronomy, Music, and Religion - Helped create the foundation for great things to come in the future - Open-Minded about every thought or idea he has Negatives: - In his school for Mathematics, Philosophy, and Religion, he and his pupils refused to share information with others - Some of his theories were incorrect and were only corrected years later when the ideas were spilled, changing a lot of things - Self centered along with his followers, as he never contributed anything for a direct positive consequence and never shared information
15: Reflection | Overall, this project was very effective and fun. I learned a lot about Pythagoras, his interests, and most importantly what he saw as the truth. This project went very smoothly for me, as I planned everything out before starting the actual scrapbook. One thing that did I found to be a little bit of a problem was finding good information, as most of the websites that I was looking into contained large articles regarding many things. In addition, getting used to the interface was little bit of a problem, but the more I utilized it, the better I was able to get at using it. Furthermore, I learned that the truth can go a lot of ways and have a lot of meanings. From Pythagoras' perspective, I see Social Studies as my truth because this is the subject where many things are learned and skills are built upon.
16: Information Citations | - "Pythagoras of Samos." Pythagoras Summary. N.p., n.d. Web. 11 Jan. 2013.
17: Pictures Citations | http://www.herenow4u.net/index.php?id=76964 http://www.circular-theory.com/thales-pythagoras/ http://www.dartmouth.edu/~matc/math5.geometry/unit3/unit3.html http://www.eskesthai.com/search/label/Gauss http://xavianthaze.blogspot.com/2012/11/pythagoras-and-occult-philosophy.html http://enter.theastronomers.org/sacred-facts/the-earth-is-round http://math.about.com/od/pythagorean/ss/pythag.htm http://www.philophony.com/sensprop/pythagor.html http://www.ka-gold-jewelry.com/p-articles/tetractis.php http://www.fredbatt.com/beforetheveil.html http://www.hermes-press.com/pythagoras_index.htm