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Contribution of pythagoras and plato
Pythagoras contributions to mathematics
Pythagoras contributions to mathematics
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Pythagoras’s life, accomplishments as a Greek mathematician and philosopher, and his influence on Greek math make him an important figure in Greek history. The majority of Pythagoras’s life helped him develop a philosophy to teach others. Pythagoras was born near 569 BC on Samos, an island in the Aegean Sea. At an early age Pythagoras started to look for wisdom, and he received wisdom by being educated in poetry, math, music, philosophy, and astronomy. Later in his life he created a philosophy and found a group who liked his teachings. People started to put an end to any political ideas, forcing Pythagoras to move to Metapontum since some of his teachings were about political life. Pythagoras died in Metapontum in 500 BC, but his teachings were kept with his followers. …show more content…
The Pythagoreans had many beliefs involving numbers, the world, and the human body. Some of these beliefs were of the following: everything in life is numbers, numbers have feelings and emotions, the world is a balance of opposites, the soul is immortal and resides in the brain , and symbols have meaning. Everything the Pythagoreans invented was credited to Pythagoras. This included their discovery of the Pythagorean Theorem, which states that the sum of two legs squared is equal to the hypotenuse squared in a right triangle. In addition, the Pythagoreans discovered numbers in music, acoustics, and astronomy. The purpose of the Pythagoreans was to improve political, moral, and social life. The inventions and beliefs of Pythagoras’s followers help us understand the origins of math and philosophy in ancient
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.
...onians for are the calendar, units of measurement including length, volume, and weight, the 360 degree circle, knowledge of lunar eclipses, square roots, and exponents. Obviously, the Babylonians were a fascinating people, and studying about them offers many insights into their culture. It is so important for modern people to look back on the contributions of this amazing society and to ponder what can be learned from them and their inventions. Today’s society and mathematical understanding would not be nearly as advanced if it had not been for the Babylonians. The people of today are forever indebted to them. Their achievements in mathematics are astounding to modern minds because we assume that such mathematical concepts are more modern in origin. But the proof is there, on those tablets, the ones baked in the Sun. Math in ancient Babylon was advanced indeed.
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,
Pericles is one of the most important figures in Greek history. He was born c. 490 B.C. in Athens, and he died in 429 B.C. in Athens. His greatest accomplishments were creating the Golden Age and planning the invention of the Parthenon. Pericles made Athens the capital of Greece, and he was re-elected as its leader every year from 461 B.C. to 429 B.C.. He founded the Delian League, a group of Greek city-states whose purpose was to protect and liberate Greek cities from Persian control. Pericles was the greatest of the many leaders that ruled Greece as he was responsible for making Athens the powerful and cultural center of Greece.
Plato was born in Athens in 427 B.C. in the beginning of the Peloponnesian War. (Darity Jr. 2008) His family was one of the oldest and well respected in Athens. As a young man, Plato wanted to become a politician. In 404 B.C., a group of wealthy men, including two of his relatives established themselves as the dictators of Athens, and this group offered Plato to join them in their tyranny. He refused because of their cruel and unethical practices. In 403 B.C, the Athenians overtook the dictators and established a democracy. Plato soon reconsidered politics, but he refused again when his friend and mentor, Socrates, was put on trial and sentenced to death in 399 B.C.. Plato left Athens to travel to Egypt, Syracuse in Sicily and many other places for many years. In Plato’s return, he returned to Athens and founded a school of philosophy and science that became known as the Academy in 387 B.C.. This school was one f the first centers for higher education. (Soll. 2014) Among one of Plato’s students was Aristotle. Later in life, Plato traveled to Syracuse to be an influence on a new young king, Dionysius II, but in Plato’s efforts, it failed. Later, Plato died in Athens in 347 B.C. at the age of about 81. (Darity Jr. 2008)
Greek mathematician Pythagoras created and proved the Pythagoras theorem. The Pythagorean theorem the theory that a^2+b^2=c^2. The sum of the angle is a triangles equal to two right
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.
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.
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...
In conclusion, it is clear that while their ancient civilization perished long ago, the contributions that the Egyptians made to mathematics have lived on. The Egyptians were practical in their approach to mathematics, and developed arithmetic and geometry in response to transactions they carried out in business and agriculture on a daily basis. Therefore, as a civilization that created hieroglyphs, the decimal system, and hieratic writing and numerals, the contributions of the Egyptians to the study of mathematics cannot and should not be overlooked.
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
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).
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.
Many mathematicians established the theories found in The Elements; one of Euclid’s accomplishments was to present them in a single, sensibly clear framework, making elements easy to use and easy to reference, including mathematical evidences that remain the basis of mathematics many centuries later. The majority of the theorem that appears in The Elements were not discovered by Euclid himself, but were the work of earlier Greek mathematician such as Hippocrates of Chios, Theaetetus of Athens, Pythagoras, and Eudoxus of Cnidos. Conversely, Euclid is generally recognized with ordering these theorems in a logical ...