The Contributions Of Pragmatism In The Hellenistic Period

The Pythagorean School, for example, contributed many ideas to the mathematic community, among them, studies of geometry and the theory of proof.5 Euclid also lived in the time of ancient Greece and became a prominent mathematician, as well as author of a book about geometry called, The Elements, considered the second best-selling book of all time.6 The works of Pythagoras and Euclid have become fundamental building blocks for any person with an eighth-grade understanding mathematics. With these advancements, as well as innovations from Archimedes and Apollonius of Perga, Islamic scholars translated their works and contributed even more, growing the worldwide understanding of mathematics.7 Greek progressions in geometry as well as the theory of proof contributed greatly to our ultimate understanding of contemporary mathematics, without which, our modern society would be

There was an unexpected explosion in the math and science world in the 17th century across Europe, known as the Age of Reasoning. Scientists such as Galileo, Brahe and Kepler continued to increase our knowledge on mathematics and science, especially the solar system which led to Kepler’s laws of planetary motion. Isaac Newton also discovered the laws of physics explaining Kepler’s Laws, and brought together the concepts now known as calculus. The invention of the logarithm by John Napier contributed to the advances of science and astronomy and was one of the most significant developments of this time. Rene Descartes development of analytical geometry and Cartesian coordinates allowed the orbits of the planets to be plotted. Other mathematicians such as Fermat and Pascal formulated theorems which extended our knowledge on number theory. Pascal is most famous for his Pascal triangle even though similar figures had been done by the Chinese and Persian mathematicians before him. Newton and Leibniz revolutionized mathematics by developing infinitesimal calculus. Much more credit should be given to many other mathematicians at this time, but as said before, this was a time of severe increase in mathematics and these are only a few of the most important discoveries. (15)

To start off, there are many differences in Mediterranean science than in Indian and Chinese sciences. As both the Chinese and Indians studied astronomy and calculated and charted planet distances and constellations, the Mediterranean civilizations left a larger emphasis on engineering and design, even though Greek astronomer Ptolemy created astronomical theories. The Romans building large structures like the Roman Coliseum, Hadrian’s Wall, the Circus Maximus, and miles of roads and aqueducts and the Greeks perfecting the column with different styles such as the Doric, Ionian, and the Corinthian designs and building massive temples like the Parthenon and the temple to Zeus at Olympia, clearly the Mediterranean factions focused more on architecture and engineering than astronomy. Also, expanding on Mediterranean engineering the Romans and the Greeks were one of the first civilizations to apply concrete, marble, and quartz in the construction of buildings. Also, the Mediterranean civilizations of Rome and Greece did not focus on medicine as much as the Chinese and the Indians did with the innovation of vaccinations, medical treatment, and plastic surgery; however, they did attempt to take a step into the world of chemistry. The Greek politician and scientist Democritus was the first recorded

Alexander the Great’s actions and decisions have significantly impacted upon the world during his time, ultimately leaving behind a legacy that can be affiliated with the westernization of the globe. He helped bring the western civilization, which included the scientific and liberal thinking of the Greeks to much of the rest of the world. He introduced a study of science for science’s sake to the nations and he is also considered as one of the most successful military commanders in history, for by the time of his death he had conquered most of the world known as Ancient Greece.

During the first millennium B.C. scientists realized that astronomy had to become more scientific. Middle Eastern and Chinese cultures started studying the Sun, stars and the planets more closely in an attempt to learn more about our position in the universe.. Star positions also became important tools in understanding directions, and helping with navigation. One philosopher stated in 434 B.C. that the Sun was a ball of fire 60 kilometres in diameter, hovering 6500 kilometres above Earth’s surface. Around 130 B.C., Ptolemy wrote Almagest, which was a huge collection of astronomical data which included mathematical models, information about eclipses, and planetary and stellar positions and movements. It remained a major go to book for astronomy for hundreds of years, and was not seriously challenged until Copernicus disputed the geocentric model of the solar system in the 1500’s

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

The Greeks were a civilization that have been admired and studied by historians for over hundreds of years before their tragic collapse. An extraordinary individual named Eratosthenes was born in a small Greek colony called Cyrene, he was a very talented Grecian who has a young man traveled to Athens to pursue studies. In all my years of reading about the ancient Greeks and studying geography, the name “Eratosthenes” had always come up. Taking AP Human Geography last year, my teacher was captivated by Eratosthenes and he would continuously state facts about him. But a unique statement struck me and could never leave my head. When talking about the earths tilt, latitude, and longitude he told us that someone over 2250 years ago, with only basic

While researching “pre-industrial astronomical accomplishments,” it seemed that a good majority of the accomplishments being highlighted were those of the Mayan and Aztec civilizations. Feeling that these topics may be over-researched, I decided to turn my attention towards the accomplishments of those in a different area of the world. After switching my focus to the pre-industrial astronomical feats of ancient Greek scientists, I have found that in many cases, these scientists contributed more than one idea, finding, or apparatus to the field of astronomy. For this research, I decided to hone in on the contributions made by Greek scientist Hipparchus. Throughout his magnificent life, and all before the implementation of modern technology,

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

For Pythagorean shapes and numbers was so important. He believed that the most perfect shape of the nature is circle. Therefore he put the earth in the center of a spherical world. According to Plato the movement of planets is in perfect circles. However now its known that the planetary orbits are ellipses and not

The Classical Greece period was a period of collaborative efforts of a community. The Polis in city-states gave the notion that personal happiness was correlated to the success and life of the polis. Alongside the polis, Pericles led Athens into expanding democracy which brought upon an assembly where people were able to voice their opinion regardless of class. Eventually, Athens became the leading center of the Greek culture by allowing architecture, art, and philosophy to grow.

Even though it’s called Ancient Greece, doesn’t mean that all their ideas and lifestyles are ancient. Greeks have influenced lives today in many ways. They are the base of many different creations. Greeks have influenced the world today through education, architecture, government, and many more things. Many people's ideas are still used today and really affect society and how people live.

He studied sciences and mathematics in the Mouseion among Strato’s pupils in Alexandria. It was here where Archimedes would make his first contribution to society (but certainty not his last). Archimedes’s invention of the Water Screw enabled the rest of the Nile delta that was uphill to be irrigated. His invention is still being used in some parts of Egypt to this day. When he returned to Syracuse he continued his studies of hydraulics and invented the subject of hydrostatics (the study of still water). Archimedes was also interested in geometry, and even used Aristotelian logic and reasoning to prove that Plato’s claim, which states that “It is possible to form a sphere out of a series of triangles or pentagons” was false. Archimedes continued to come up with more inventions and scientific breakthroughs, dazzling the people of Syracuse with his discoveries; most of which, would not have been possible without the influence of Aristotle. However, in 214 BC the city would come under siege by the Romans, but Archimedes would not give up without a

George Santayana described Pragmatism this way, “American pragmatism connects the American experimental and inventive attitude with older philosophical ideas” (Stumpf 397).

     Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know