Wednesday, March 18, 2020

A History of Ancient Greek Physics

A History of Ancient Greek Physics In ancient times, the systematic study of fundamental natural laws was not a huge concern. The concern was staying alive. Science, as it existed at that time, consisted primarily of agriculture and, eventually, engineering to improve the daily lives of the growing societies. The sailing of a ship, for example, utilizes air drag, the same principle that keeps an airplane aloft. The ancients were able to figure out how to construct and operate sailing ships without precise rules for this principle. Looking to the Heavens and the Earth The ancients are known perhaps best for their astronomy, which continues to influence us heavily today. They regularly observed the heavens, which were believed to be a divine realm with the Earth at its center. It was certainly obvious to everyone that the sun, moon, and stars moved across the heaven in a regular pattern, and its unclear whether any documented thinker of the ancient world thought to question this geocentric viewpoint. Regardless, humans began identifying constellations in the heavens and used these signs of the Zodiac to define calendars and seasons. Mathematics developed first in the Middle East, though the precise origins vary depending upon which historian one talks to. It is almost certain that the origin of mathematics was for simple recordkeeping in commerce and government. Egypt made profound progress in the development of basic geometry, because of the need to clearly define farming territory following the annual flooding of the Nile. Geometry quickly found applications in astronomy, as well. Natural Philosophy in Ancient Greece As the Greek civilization arose, however, there came finally enough stability - despite the fact that there still frequent wars - for there to arise an intellectual aristocracy, an intelligentsia, that was able to devote itself to the systematic study of these matters. Euclid and Pythagoras are just a couple of the names that resonate through the ages in the development of mathematics from this period. In the physical sciences, there were also developments. Leucippus (5th century B.C.E.) refused to accept the ancient supernatural explanations of nature and proclaimed categorically that every event had a natural cause. His student, Democritus, went on to continue this concept. The two of them were proponents of a concept that all matter is comprised of tiny particles which were so small that they could not be broken up. These particles were called atoms, from a Greek word for indivisible. It would be two millennia before the atomistic views gained support and even longer before there was evidence to support the speculation. The Natural Philosophy of Aristotle While his mentor Plato (and  his  mentor, Socrates) were far more concerned with moral philosophy, Aristotles (384 - 322 B.C.E.) philosophy had more secular foundations. He promoted the concept that observation of physical phenomena could ultimately lead to the discovery of natural laws governing those phenomena, though unlike Leucippus and Democritus, Aristotle believed that these natural laws were, ultimately, divine in nature. His was a natural philosophy, an observational science based on reason but without experimentation. He has rightly been criticized for a lack of rigor (if not outright carelessness) in his observations. For one egregious example, he states that men have more teeth than women which is certainly not true. Still, it was a step in the right direction. The Motions of Objects One of Aristotles interests was the motion of objects: Why does a rock fall while smoke rises?Why does water flow downward while flames dance into the air?Why do the planets move across the sky? He explained this by saying that all matter is composed of five elements: FireEarthAirWaterAether (divine substance of the heavens) The four elements of this world interchange and relate to each other, while Aether was an entirely different type of substance. These worldly elements each had natural realms. For example, we exist where the Earth realm (the ground beneath our feet) meets the Air realm (the air all around us and up as high as we can see). The natural state of objects, to Aristotle, was at rest, in a location that was in balance with the elements of which they were composed. The motion of objects, therefore, was an attempt by the object to reach its natural state. A rock falls because the Earth realm is down. Water flows downward because its natural realm is beneath the Earth realm. Smoke rises because it is comprised of both Air and Fire, thus it tries to reach the high Fire realm, which is also why flames extend upward. There was no attempt by Aristotle to mathematically describe the reality that he observed. Though he formalized Logic, he considered mathematics and the natural world to be fundamentally unrelated. Mathematics was, in his view, concerned with unchanging objects that lacked reality, while his natural philosophy focused on changing objects with a reality of their own. More Natural Philosophy In addition to this work on the impetus, or motion, of objects, Aristotle did extensive studies in other areas: created a classification system, dividing animals with similar characteristics into genera.studied, in his work Meteorology, the nature not only of weather patterns but also geology and natural history.formalized the mathematical system called Logic.extensive philosophical work on the nature of mans relation to the divine, as well as ethical considerations Aristotles work was rediscovered by scholars in the Middle Ages and he was proclaimed the greatest thinker of the ancient world. His views became the philosophical foundation of the Catholic Church (in cases where it didnt directly contradict the Bible) and in centuries to come observations that did not conform to Aristotle were denounced as a heretic. It is one of the greatest ironies that such a proponent of observational science would be used to inhibit such work in the future. Archimedes of Syracuse Archimedes (287 - 212 B.C.E.) is best known for the classic story of how he discovered the principles of density and buoyancy while taking a bath, immediately causing him to run through the streets of Syracuse naked screaming Eureka! (which roughly translates to I have found it!). In addition, he is known for many other significant feats: outlined the mathematical principles of the lever, one of the oldest machinescreated elaborate pulley systems, reputedly having been able to move a full-size ship by pulling on a single ropedefined the concept of the center of gravitycreated the field of statics, using Greek geometry to find equilibrium states for objects that would be taxing for modern physicistsreputed to have built many inventions, including a water screw for irrigation and war machines that helped Syracuse against Rome in the First Punic War. He is attributed by some with inventing the odometer during this time, though that has not been proven. Perhaps Archimedes greatest achievement, however, was to reconcile Aristotles great error of separating mathematics and nature. As the first mathematical physicist, he showed that detailed mathematics could be applied with creativity and imagination for both theoretical and practical results. Hipparchus Hipparchus (190 - 120 B.C.E.) was born in Turkey, though he was a Greek. He is considered by many to be the greatest observational astronomer of ancient Greece. With trigonometric tables that he developed, he applied geometry rigorously to the study of astronomy and was able to predict solar eclipses. He also studied the motion of the sun and moon, calculating with greater precision than any before him their distance, size, and parallax. To aid him in this work, he improved many of the tools used in naked-eye observations of the time. The mathematics used indicates that Hipparchus may have studied Babylonian mathematics and been responsible for bringing some of that knowledge to Greece. Hipparchus is reputed to have written fourteen books, but the only direct work that remains was a commentary on a popular astronomical poem. Stories tell of Hipparchus having calculated the circumference of the Earth, but this is in some dispute. Ptolemy The last great astronomer of the ancient world was Claudius Ptolemaeus (known as Ptolemy to posterity). In the second century C.E., he wrote a summary of ancient astronomy (borrowed heavily from Hipparchus - this is our main source for knowledge of Hipparchus) which came to be known throughout Arabia as  Almagest  (the greatest). He formally outlined the geocentric model of the universe, describing a series of concentric circles and spheres upon which other planets moved. The combinations had to be exceedingly complicated to account for the observed motions, but his work was adequate enough that for fourteen centuries it was seen as the comprehensive statement on heavenly motion. With the fall of Rome, however, the stability that supports such innovation died out in the European world. Much of the knowledge obtained by the ancient world was lost during the Dark Ages. For example, of the 150 reputed Aristotelian works, only 30 exist today, and some of those are little more than lecture notes. In that age, the discovery of knowledge would lie to the East: to China and the Middle East.

Sunday, March 1, 2020

Writers of Term Papers

Writers of Term Papers Writers of Term Papers Writers of Term PapersA term paper is rather a complicated research project that requires sufficient experience in analyzing, writing, and presenting the project. That is why writers of term papers should develop a certain set of qualities and abilities. Do you want to know which ones? Then go ahead reading. Do not forget to read article on The Stolen Party term paper writing, how to write term papers, as well as guide on college entrance essay outline writing and how to write a good college essay .Writers of term papers should practice building sentences logically. One of the possible and rather effective methods to do it is to tape-record what you have written and then listen to the record made. You can also ask someone to read your paper to check whether your writing is consecutive and logical enough. Writers of term papers should be well informed on their research area. That is why it is important for writers of term papers to read as much information relevant to their research topic as possible. So, if for example, you are to write a term paper on hurricane Katrina, read all the possible information about hurricanes, watch videos and documentaries, listen to CNN reports, etc. Your professor will certainly appreciate your awareness of the subject, thus, you will have more chances to get an A+ grade.Writers of term papers should learn to be persuasive. The art of persuasiveness is not easy to learn, still, possible. To sound persuasively, it is important for term paper writers to avoid emotions while writing. Besides, emotions are inadmissible in academic writing, and if you want to master in the use of scientific language, you have to keep it in mind. The best and the most important tool that all writers of term papers should use to sound persuasively is argumentation. Make your argumentation reasonable and logical. Provide the reader with enough evidence to prove that your point of view is the only right.Writers of term papers should be able to develop strong and catchy thesis statements. Some writers of term papers confuse a thesis statement with a well known fact. The main difference between a generally known fact and a thesis statement is that a thesis statement is something that you personally consider to be truth while a commonly known fact is something that does not leave grounds for debates. This mistake can make a paper sound unskillfully and become the cause of a low grade. That is why it is of a great importance for writers of term papers to understand the difference between these two notions.Striving at self-perfection is the best way to success. That is why writers of term papers should strive at it.