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Roles and contributions of pythagoras in mathematics
The contribution of Pythagoras
Contributions of Pythagoras in the development of science
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A majority of the mental and physical tools we use and apply today are founded in the work of the ancient Greeks. The mathematicians, engineers and scientists Pythagoras, Euclid, Archimedes, and Thales developed the knowledge, theories and ideas in which we live our lives today.
Pythagoras plays a major part in modern day mathematics. Discovering a way to make “order out of chaos”, he was “often referred to as the first pure mathematician.” Born on “the island of Samos … in 569 BCE,” Pythagoras was “well educated.” Individuals known as Pythagoreans admired Pythagoras’ knowledge, and “taught other people what he had taught them” including everything Pythagoras believed to be true, and everything he proved. Pythagoras believed that “mathematics is the basis for everything, and geometry is the highest form of mathematical studies,” and that “numbers have personalities, characteristics, strengths and weaknesses.” These beliefs were miraculous ideas to come upon, as there wasn’t much of a base to go off of. While the basics of math were apparent, most advanced theories were beginning to be researched by brilliant mathematicians like Pythagoras. In fact, Pythagoras proved a theory used commonly today known as the Pythagorean theorem. The Pythagorean theorem states, “in a right triangle, the sum of the squares of the two right-angle sides will always be the same as the square of the hypotenuse (the long side)`.” It is said that “The Babylonians understood this [theory] 1000 years earlier, but Pythagoras [was the one who] proved it.” Another common as well as useful theory Pythagoras came up with was involving triangles once again: “The sum of the angles of the triangle is equal to 180o.” Whether Pythagoras himself or one of the Pythago...
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...planations for these type of things.” Thales was the astronomer that “understood that the earth was round, and that the moon was lit by light reflecting from the sun.” While Thales was an outstanding astronomer that really grasped the concept of space, he was also an important mathematician. He proved “several interesting mathematical ideas,” which included triangles and circles: “a circle is bisected by its diameter [and] the angles at the bases of any isosceles triangle are equal.” Thales was and is an important figure in history as he created the base understanding of space that there is today, as well as valuable mathematics. It’s truly amazing that the brilliant ideas of these ancient greeks are still being applied to a modern day civilization that they could never have imagined. Pythagoras, Archimedes, Thales and Euclid are sincerely exceptional men.
...should examine their life and be able to question the world also, give people freedom. On the other hand is Aristotle, he showed the Political Theory in human that human reason and resources are their guides and yet, it is others life style. Furthermore, Plato, he used the Allegory of the Cave to show how Philosopher see the Absolute Truth and due to the fact how people perceive the truth and how people view of reality can be bound. Also, the Greeks contribution in Art, they used the Discuss Thrower, the Greeks Columns, and The Parthenon to show people how Greeks are good in sculpturing and to show the 3D-dimensional perspective. Lastly, is Democracy where people are the ruler also the Council of 500 of Cleisthenes because of this our civilization today has a direct democracy, without further do, Democracy, Art, and Philosophy has influenced our society astonishingly.
The ancient Greek civilizations contributed and influenced many Western civilizations. The ancient Greek’s achievements helped shape and inspire the basis of Western society. Their ideas of literature and theatre, architecture, and philosophy are still used today in the modern world.
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.
Without the positive influences of Ancient Greece, modern day society might be a civilization of sick, nonconformist, overweight people. Thankfully, the Ancient Greeks spent time making contributions, which prevented that from happening. The Greeks used forethought, science, and philosophies to investigate platforms in medicine, democracy, and sports which allowed them to produce significant contributions to modern day society that are still being used today.
The Ancient Greeks for many years in history have been critically acclaimed as a culture that emphasizes significantly on executing and maintaining perfection within its society. It is a culture popularly known for its significant advancements in areas such as; art, architecture, math, and philosophy. This constant need to improve seemed to be a trait that heavily lied within the Ancient Greeks and this is shown through their embodiment of perfectionism. All throughout history, the Greeks have been praised and looked upon greatly due to their significant lifestyle and historical achievement. Through extensive research of the Greeks, including the analyzation of their art, architecture, math and philosophy, I will be able to depict the true
...other and it's always good to discover new things. Your mind should be wide open to things especially from the past, such as Ancient history. Also, comparing past rituals to modern day rituals are a good way to advance today's modern knowledge. The Romans & Greeks have accomplished so many things that we now take for granted. Looking into history can help you better understand what the people did for us back then in order to make us more thankful and open minded in the present day! A little bit of background information about the Ancient Greeks and Romans will be much more clearer for you to interpret. They made up lots of things relating to Mathematics & Science such as the discoveries of number theory, Mathematical analysis, and integral calculus. Despitethe fact that they impacted the U.S. in many different ways, it shows how knowledgeable & determined they were!
Aristarchus was a scientist who argued that not only was the earth rotates around the sun but that it rotates on its own axis. Another astronomer was Eratosthenes who determined that the earth was round. Along with science also came the knowledge of geometry and medicine. Euclid came up with geometry and because of him a scientist named Archimedes had used geometry to work on the geometry of spheres and cylinders, which helped him establish pi. With the help of science, a scientist named Hippocrates was able to use science to help make the scientific foundations of medicine.
Meet the Greeks Madison Palmiero Over 2000 years later, almost every aspect of modern life can be linked to Ancient Greece. The impact Greece had upon society is astounding. The origins of language, philosophy, modern math and science, and even democracy can all be attributed to the Greeks. A large majority of the world's greatest historians, philosophers, conquerors, architects, and engineers were Greek, which proves to show just how incredible Ancient Greece really was. When studying the history of early civilizations, written records provide a plethora of valuable information.
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
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
The Hebrews, Greeks, and Romans were all key civilizations pertaining to the molding of civilizations to follow. They all contributed certain aspects of their lives to other civilizations and also achieved great tasks while their civilizations thrived.
The Greek's notion of rational thought is a very strong reason why Western Civilization has become so influential in the world today. During their time, the Greeks spurred an intellectual revolution. They questioned the meanings of life and began using their minds to expand the world. According to Glenn Blackburn: "In many ways, they "discovered" the human "mind" through their philosophy and rational thought [ . . . ]"(64). Their "opening" of the mind influenced all ways of life and society. Major ideas blossomed like politics, governing laws, literature, art, history, and new inventions. Scientific thinking was groundbreaking among Greek minds. Ideas of mathematics, astronomy, architecture, and anatomy engrossed the public. This revolution of rational thought dominated society and began a transition in Western Civilization because people began using reason to explain human and natural events, rather than the gods (Blackburn, 67). Even today, rational thought is used by all of us and continues to influence society. The power of the modern mind has proved greater than any other Greek could have ever expected.
Physics began when man first started to study his surroundings. Early applications of physics include the invention of the wheel and of primitive weapons. The people who built Stone Henge had knowledge of physical mechanics in order to move the rocks and place them on top of each other. It was not until during the period of Greek culture that the first systematic treatment of physics started with the use of mechanics. Thales is often said to have been the first scientist, and the first Greek philosopher. He was an astronomer, merchant and mathematician, and after visiting Egypt he is said to have originated the science of deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher. He discovered simple numerical ratios relating the musical tones of major consonances, to the length of the strings used in sounding them. The Pythagorean theorem was named after him, although this fundamental statements of deductive geometry was most likely first an idea from Egyptian methods of measurements. With the help of his followers he discovered that the earth was a sphere, but he did not believe it revolved around the sun.
Greek philosophers Aristotle and Plato were two of the most influential and knowledgeable ancients in our history. Their contributions and dedication to science, language and politics are immensely valued centuries later. But while the two are highly praised for their works, they viewed several subjects entirely differently, particularly education practices, and human ethics and virtue.