Sunday, March 22, 2020

Arieanne Evans-Hill Essays - Textual Scholarship, Publishing

Arieanne Evans-Hill November 2017 History of Art I Dr. Jones Manuscript Reflection Illuminated manuscripts are expressions of piety, so no I don't think that St. John of Damascne and St. Bernard of Clairvaux would approve of the construction and distribution of such art. These two believe that it's only essential to have devotion within us rather than creating false representations and idols. Although the art and words in the manuscripts choose to convey and exemplify the religious beliefs of the medieval time period, it can still be seen as paganistic. Illuminated manuscripts can almost be interpreted as advertisements for certain religions without actually including God, himself. Illuminated words that are golden and colorful drawings have no correlation to what a religion actually entails but it does attract readers because of how expensive and impressive it may appear. In Esoteric Buddhism, art was key in educating the people that were interested in learning about Buddhist gods and their relationships. Mandalas are cosmic diagrams of the universe in schematic order. They were essentially identical in manner to illuminated manuscripts because they incorporated gold print, vibrant colors and silk (which is very thin) comparable to the thin paper of said manuscripts. In the Late Antique Byzantine era, the Icon of St Michael the Archangel also can be considered an advertisement for a religion that is purely pagan. It doesn't even have God in the portrait and was constructed with a lot of expensive objects, which makes it comparable to illuminated manuscripts. Something that's comparable to the practice of producing and using illuminated manuscripts would be the advertisement of books sold by megachurches that don't really help the buyer, only the church's bank. Those books sell false hope.

Friday, March 6, 2020

Essay on Calculus H Final

Essay on Calculus H Final Essay on Calculus H Final Newton vs. Leibniz; The Calculus Controversy Like most discoveries, calculus was the culmination of centuries of work rather than an instant epiphany. Mathematicians all over the world contributed to its development, but the two most recognized discoverers of calculus are Isaac Newton and Gottfried Wilhelm Leibniz. Although the credit is currently given to both men, there was a time when the debate over which of them truly deserved the recognition was both heated and widespread. As the renowned author of Principia (1687) as well as a host of equally esteemed published works, it appears that Newton not only went much further in exploring the applications of calculus than Leibniz did, but he also ventured down a different road. Leibniz and Newton had very different views of calculus in that Newton’s was based on limits and concrete reality, while Leibniz focused more on the infinite and the abstract. However, regardless of the divergent paths these two scholars chose to venture down, the question of who took the first step remained the primary issue of debate. Unaware that Newton was reported to have discovered similar methods, Leibniz discovered â€Å"his† calculus in Paris between 1673 and 1676. By 1676, Leibniz realized that he was onto something â€Å"big†; he just didn’t realize that Newton was on to the same big discovery because Newton was remaining somewhat tight lipped about his breakthroughs. In fact, it was actually the d elayed publication of Newton’s findings that caused the entire controversy. Leibniz published the first account of differential calculus in 1684 and then published the explanation of integral calculus in 1686. Newton did not publish his findings until 1687. Yet evidence shows that Newton discovered his theories of fluxional calculus in 1665 and 1666, after having studied the work of other mathematicians such as Barrows and Wallis. Evidence also shows that Newton was the first to establish the general method called the "theory of fluxions" was the first to state the fundamental theorem of calculus and was also the first to explore applications of both integration and differentiation in a single work. However, since Leibniz was the first to publish a dissertation on calculus, he was given the total credit for the discovery for a number of years. This later led, of course, to accusations of plagiarism being hurled relentlessly in the direction of Leibniz. There was speculation that Leibniz may have gleaned some of his insights from two of Newton's manuscripts on fluxions, and that that is what sparked his understanding of calculus. Many believed that Leibniz used Newton's unpublished ideas, created a new notation and then published it as his own, which would obviously constitute plagiarism. The rumor that Leibniz may have seen some of Newton's manuscripts left little doubt in most people’s minds as to whether or not Leibniz arrived at his conclusions independently. The rumor was, after all, believable because Newton had admittedly bounced his ideas off a handful of colleagues, some of who were also in close contact with Leibniz. It is also known that Leibniz and Newton corresponded by letter quite regularly, and they most often discussed the subject of mathematics. In fact, Newton first described his methods, formulas and concepts of calculus, including his binomial theorem, fluxions and tangents, in letters he wrote to Leibniz. However an examination of Leibniz' unpublished manuscripts provided evidence that despite his correspondence with Newton, he had come to his own conclusions about calculus already. The letters may then, have merely helped Leibniz to expand upon his own initial ideas. The question of the date at which these extracts were made is therefore all-important. It is known that a copy of Newton's manuscript had been sent to Tschirnhausen in May, 1675, and as in that year he and Leibniz were engaged together on a piece of work, it is not impossible that these extracts were made