Wait a second!
More handpicked essays just for you.
More handpicked essays just for you.
Pythagoras and his contributions
Pythagoras and his contribution to mathematics
Pythagoras and his contribution to mathematics
Don’t take our word for it - see why 10 million students trust us with their essay needs.
Recommended: Pythagoras and his contributions
Pythagoras is truly a man unlike any other throughout history. Perhaps his greatest achievements are within the realm of mathematics; with his greatest known theory being the Pythagorean Theorem. His theory is so well known that even today it peaks the interests of many mathematicians, with more than 400 proofs being spawned off of his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a mystery to most, similar to most pre-Socratic philosophers. What little we do know is often shrouded in rumors and conflicting reports, but despite this, it is clearly evident that his contributions to mathematics were substantial.
Born in approximately 569 BC in Samos Greece, Pythagoras grew up with his father, Mnesarchus and his mother Pythais, and he is believed to have had two or three brothers. His personal life is heavily debated, for some say that he had a wife by the name of Theano, while others believe her to just be another one of his students, and that he was neither married nor did he have any children. Though Pythagoras’ focus was mainly in mathematics, he was also interested in fields such as philosophy, astronomy, and music, and was influenced by the likes of Pherekydes, Thales, and Anaximander. Pythagoras also studied for several years in Egypt with priests in the temples there. It is widely believed that many of the practices of the society that he created later in life had origins in the beliefs and teachings of Egyptian priests. This included ideas such as codes of secrecy, purity, and the refusal to eat beans or wear animal pelts.
Around 518 BC, Pythagoras settled in Crotona and founded a philosophical and religious school where many of his followers lived and worked. The Pyt...
... middle of paper ...
..., his account on Pythagorean philosophy is tainted by the fact that his main source of reference was the Pythagorean Memoirs, a forgery dated to sometime around 200 BC.
Despite the doubts many cast on the significance of Pythagoras’ work, it is quite clear that whether or not he was a great philosophical mine, he revolutionized the world of mathematics forever. Through his secretive society and his own work, he was able to prove many of the theorems and postulates that form the basics of mathematics today. Those who put him up on a pedestal were perhaps partially justified, for this man helped pave the way for the advent of philosophers such as Plato and Socrates and ultimately the rapid expansion of civilization.
Works Cited
http://www.mathopenref.com/pythagoras.html http://plato.stanford.edu/entries/pythagoras/ http://www.encyclopedia.com/topic/Pythagoras.aspx
Socrates (Philosopher) – He was a Greek philosopher recognized as one of the creators of Western Philosophy. He was famous for his Socratic Method, an art of reasoning. Socrates was born on 469 B.C. in Alopeke. His father, Sophroniscus was a Stonemason or a sculptor and his mother, Phaenarete was a midwife. Socrates was married to Xanthippe who had a not-so-good temperament. Xanthippe gave birth to three sons who were Menexenus, Lamprocles and Sophroniscus.
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
4000BC, long before Egypt, Greece, or Rome were known to have sophisticated societies. Agriculture, mathematics, literature, and the earliest forms of government were all established in this region. (1)
Aristotle was born in 384 BC at Stagirus, a Greek colony and seaport on the coast of Thrace. His father, Nichomachus, was a respected physician to the King Amyntas of Macedonia. This connection with the royal family served Aristotle we...
Here Pythagoras, better known as a mathematician for the famous theorem named for him, applied theoretical mathematics and the theory of numbers to the natural sciences (Nordqvist, 1). Pythagoras equated the duration of the lunar cycle to the female menstrual cycle and related the biblical equation of infinity as the product of the number seventy and forty to the normal length of pregnancy at 280 days (Nordqvist, 1). More practical, Pythagoras also contributed the idea of medical quarantine to the practice of medicine setting a forty-day period standard quarantine to avoid the spread of disease. While Pythagoras chose the number forty for its perceived divine nature his practical application of a quarantine must have been based on the observation that in some instances disease spreads through contact. The concept of Quarantine is still in use to this day and is an example of how Pythagoras contributed to modern medicine even while his methods were based on “mystical aspects of the number system” Pythagoras and his followers did “attempt to use mathematics to quantify nature” and as a result, medical practice (Ede, Cormack,
By using the process of reason in geometry, Descartes found that the three angles of a triangle makes two right angles but that this same process of reasoning could not prove its presence. With this in mind, he went ...
Some historians believe she may have ever surpassed her father’s knowledge. One important impact that Hypatia had on math, was edition the on the Conics of Apollonius. The Conics of Apollonius divided cones into different parts by a plane. This concept was extremely complex, and developed the ideas of parabolas, hyperbolas, and ellipses. Though Hypatia did not originate this concept, “ With Hypatia's work on this important book, she made the concepts easier to understand, thus making the work survive through many centuries”
The concept of impossible constructions in mathematics draws in a unique interest by Mathematicians wanting to find answers that none have found before them. For the Greeks, some impossible constructions weren’t actually proven at the time to be impossible, but merely so far unachieved. For them, there was excitement in the idea that they might be the first one to do so, excitement that lay in discovery. There are a few impossible constructions in Greek mathematics that will be examined in this chapter. They all share the same criteria for constructability: that they are to be made using solely a compass and straightedge, and were referred to as the three “classical problems of antiquity”. The requirements of using only a compass and straightedge were believed to have originated from Plato himself. 1
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...
...st important scientists in history. It is said that they both shaped the sciences and mathematics that we use and study today. Euclid’s postulates and Archimedes’ calculus are both important fundamentals and tools in mathematics, while discoveries, such Archimedes’ method of using water to measure the volume of an irregularly shaped object, helped shaped all of today’s physics and scientific principles. It is for these reasons that they are remembered for their contributions to the world of mathematics and sciences today, and will continue to be remembered for years to come.
Even though Aristotle’s contributions to mathematics are significantly important and lay a strong foundation in the study and view of the science, it is imperative to mention that Aristotle, in actuality, “never devoted a treatise to philosophy of mathematics” [5]. As aforementioned, even his books never truly leaned toward a specific philosophy on mathematics, but rather a form or manner in which to attempt to understand mathematics through certain truths.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.