Thursday, April 16, 2020
The French and Indian War free essay sample
Causes, Consequences, and Resolution BY Tomahawked In 1754, a war between Britain and France with their Indian allies broke out in North America that came to be known as The French and Indian War. The war ended in 1763 with the Treaty of Paris. The French and Indian War created tension between Great Britain and the American colonies politically through the expansion of borders, economically through extreme taxes, and Ideologically through taxation without representation.The expansion of the borders of the English territory through the Treaty of Paris created a tension between the colonies political relations with Great Britain. After the war in 1763 (Doc. A) English colonies dominated the North American continent. The new land the colonists controlled led to the proclamation of 1763 that prevented colonists from settling to far west. The Indians thought the colonists had no right to settle (Doc. B). This was Great Britains resolve to prevent further conflict with the already angered Native Americans. We will write a custom essay sample on The French and Indian War or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Colonists were Infuriated by the Proclamation because they felt they deserved the land for fighting and dying alongside British regulars, and believed they had been denied of their right to be free (Doc. E). Another result of the war was Britains great debt, in which they had to solve by placing taxes on common items in the colonies. The Stamp Act and Tea Act were two examples of taxes Britain put on the colonists that led to political unrest.The expansion of English territory was not the only cause for colonial unrest, severe taxation also laded a major part In straggling the relationship between Great Britain and its colonies. After the war British troops were still stationed in North America, resulting in massive debt (Doc. F). Heavy taxation made it near impossible to make a profit by exporting and importing any goods. The Stamp Act was the tax act that set many of the colonies overboard. Benjamin Franklin, one of the most important and respected colonists of the time said the Stamp act needed to be repealed as soon as possible (Doc.G). The colonists used boycotting as their weapon and practiced non- institution and non-lamentation, thus harming the economy In both Great Brutal and the colonies. The expansion of English territory, extreme taxation, as well as taxation without representation caused tension between the colonies and their motherland. The colonists fighting in the war alongside the British realized they did not have the same rights as their British partners. A Massachusetts soldier wrote, We are debarred Englishman liberty (Doc. D). TLS was one example of the colonists already feeling a sense of inequality.Taxation without representation was the main source of tension among the colonies and Great Britain. The colonists felt that they had no right to be taxed severally without any say in the British Parliament; this idea would eventually lead to war. The French and Indian War Is perhaps the number one cause of the American led to colonial resentment towards Britain. The French and Indian War not only altered the political, economic, and ideological relations among the colonies and Great Britain, but changed the entire history of the world
Friday, March 13, 2020
Biography of Adolf Hitler, Leader of the Third Reich
Biography of Adolf Hitler, Leader of the Third Reich Adolf Hitler (1889ââ¬â1945) was the leader of Germany during the Third Reich (1933ââ¬â1945). He was the primary instigator of both the Second World War in Europe and the mass execution of millions of people deemed to be enemies, or inferior to the Aryan ideal. He rose from being a talentless painter to the dictator of Germany and, for a few months, emperor of much of Europe. His empire was crushed by an array of the worlds strongest nations; he killed himself before he could be tried and brought to justice. Fast Facts: Adolf Hitler Known For: Leading the German Nazi party and instigating World War IIBorn: April 20, 1889 in Braunau am Inn, AustriaParents: Alois Hitler and Klara PoelzlDied: April 30, 1945 in Berlin, GermanyEducation: Realschule in SteyrPublished Works: Mein KampfSpouse: Eva BraunNotable Quote: In starting and waging a war it is not right that matters but victory. Early Life Adolf Hitler was born in Braunau am Inn, Austria, on April 20, 1889 to Alois Hitler (who, as an illegitimate child, had previously used his motherââ¬â¢s name of Schickelgruber) and Klara Poelzl. A moody child, he grew hostile towards his father, especially once the latter had retired and the family had moved to the outskirts of Linz. Alois died in 1903 but left money to take care of the family. Adolf was close to his mother, who was highly indulgent of him, and he was deeply affected when she died in 1907. He left school at age 16 in 1905, intending to become a painter. Unfortunately for him, he wasnt a very good one. Vienna Hitler went to Vienna in 1907 where he applied to the Viennese Academy of Fine Arts but was twice turned down. This experience further embittered the increasingly angry Hitler. He returned to Vienna again when his mother died, living first with a more successful friend (Kubizek) and then moving from hostel to hostel as a lonely, vagabond figure. He recovered to make a living selling his art cheaply as a resident in a community Mens Home. During this period, Hitler appears to have developed the worldview that would characterize his whole life, and which centered on hatred for Jews and Marxists. Hitler was well-placed to be influenced by the demagogy of Karl Lueger, Viennaââ¬â¢s deeply anti-Semitic mayor and a man who used hate to help create a party of mass support. Hitler had previously been influenced by Schonerer, an Austrian politician against liberals, socialists, Catholics, and Jews. Vienna was also highly anti-Semitic; Hitlers hate was not unusual, it was simply part of the popular mindset. What Hitler went on to do was present these ideas more successfully than ever before. The First World War Hitler moved to Munich in 1913 and avoided Austrian military service in early 1914 by virtue of being unfit for service. However, when the First World War broke out in 1914, he joined the 16th Bavarian Infantry Regiment, serving throughout the war, mostly as a corporal after refusing promotion. He proved to be an able and brave soldier as a dispatch runner, winning the Iron Cross on two occasions (First and Second Class). He was also wounded twice, and four weeks before the war ended he suffered a gas attack that temporarily blinded and hospitalized him. It was there he learned of Germanyââ¬â¢s surrender, which he took as a betrayal. He especially hated the Treaty of Versailles, which Germany had to sign after the war as part of the settlement. Hitler Enters Politics After WWI, Hitler became convinced he was destined to help Germany, but his first move was to stay in the army for as long as possible because it paid wages, and to do so, he went along with the socialists now in charge of Germany. He was soon able to turn the tables and drew the attention of army anti-socialists, who were setting up anti-revolutionary units. In 1919, working for an army unit, he was assigned to spy on a political party of roughly 40 idealists called the German Workers Party. Instead, he joined it, swiftly rose to a position of dominance (he was chairman by 1921), and renamed it the Socialist German Workers Party (NSDAP). He gave the party the Swastika as a symbol and organized a personal army of storm troopers (the SA or Brownshirts) and bodyguards of black-shirted men, the Schutzstaffel (SS), to attack opponents. He also discovered, and used, his powerful ability for public speaking. The Beer Hall Putsch In November 1923, Hitler organized Bavarian nationalists under a figurehead of General Ludendorff into a coup (or putsch). They declared their new government in a beer hall in Munich; a group of 3,000 marched through the streets, but they were met by police who opened fire, killing 16. Hitler was arrested in1924 and used his trial to spread his name and his ideas widely. He was sentenced to just five years in prison, a sentence often described as a sign of tacit agreement with his views. Hitler served only nine months in prison, during which he wrote Mein Kampf (My Struggle), a book outlining his theories on race, Germany, and Jews. It sold five million copies by 1939. Only then, in prison, did Hitler come to believe he was destined to be a leader. The man who thought he was paving the way for a German leader of genius now thought he was the genius who could take and use power. Politician After the Beer Hall Putsch, Hitler resolved to seek power through subverting the Weimar government system, and he carefully rebuilt the NSDAP, or Nazi, party, allying with future key figures like Goering and propaganda mastermind Goebbels. Over time, he expanded the partyââ¬â¢s support, partly by exploiting the fears of socialists and partly by appealing to everyone who felt their economic livelihood threatened by the depression of the 1930s. Over time, he gained the interest of big business, the press, and the middle classes. Nazi votes jumped to 107 seats in the Reichstag in 1930. Its important to stress that Hitler wasnt a socialist. The Nazi party that he was molding was based on race, not the idea of socialism, but it took a good few years for Hitler to grow powerful enough to expel the socialists from the party. Hitler didnt take power in Germany overnight and took years for him to take full power of his party overnight. President and Fà ¼hrer In 1932, Hitler acquired German citizenship and ran for president, coming in second to von Hindenburg. Later that year, the Nazi party acquired 230 seats in the Reichstag, making them the largest party in Germany. At first, Hitler was refused the office of Chancellor by a president who distrusted him, and a continued snub might have seen Hitler cast out as his support failed. However, factional divisions at the top of government meant that, thanks to conservative politicians believing they could control Hitler, he was appointed chancellor of Germany on January 30, 1933. Hitler moved with great speed to isolate and expel opponents from power, shutting trade unions and removing communists, conservatives, and Jews. Later that year, Hitler perfectly exploited an act of arson on the Reichstag (which some believe the Nazis helped cause) to begin the creation of a totalitarian state, dominating the March 5 elections thanks to support from nationalist groups. Hitler soon took over the role of president when Hindenburg died and merged the role with that of chancellor to become fà ¼hrer (leader) of Germany. In Power Hitler continued to move with speed in radically changing Germany, consolidating power, locking up ââ¬Å"enemiesâ⬠in camps, bending culture to his will, rebuilding the army, and breaking the constraints of the Treaty of Versailles. He tried to change the social fabric of Germany by encouraging women to breed more and bringing in laws to secure racial purity; Jews were particularly targeted. Employment, high elsewhere in a time of depression, fell to zero in Germany. Hitler also made himself head of the army, smashed the power of his former brownshirt street warriors, and expunged the socialists fully from his party and his state. Nazism was the dominant ideology. Socialists were the first in the death camps. World War II and the Failure of the Third Reich Hitler believed he must make Germany great again through creating an empire and engineered territorial expansion, uniting with Austria in an Anschluss and dismembering Czechoslovakia. The rest of Europe was worried, but France and Britain were prepared to concede limited expansion with Germany, taking within it the German fringe. Hitler, however, wanted more. It was in September 1939, when German forces invaded Poland, that other nations took a stand and declared war. This was not unappealing to Hitler, who believed Germany should make itself great through war, and invasions in 1940 went well. Over the course of that year, France fell and the Third Reich expanded. However, his fatal mistake occurred in 1941 with the invasion of Russia, through which he wished to create lebensraum, or living room. After initial success, German forces were pushed back by Russia, and defeats in Africa and West Europe followed as Germany was slowly beaten. Death During the last years of the war, Hitler became gradually more paranoid and divorced from the world, retreating to a bunker. As armies approached Berlin from two directions, Hitler married his mistress Eva Braun and on April 30, 1945, he killed himself. The Soviets found his body soon after and spirited it away so it would never become a memorial. A piece remains in a Russian archive. Legacy Hitler will forever be remembered for starting the Second World War, the most costly conflict in world history, thanks to his desire to expand Germanyââ¬â¢s borders through force. He will equally be remembered for his dreams of racial purity, which prompted him to order the execution of millions of people, perhaps as high as 11 million. Although every arm of German bureaucracy was turned to pursuing the executions, Hitler was the chief driving force. In the decades since Hitlerââ¬â¢s death, many commentators have concluded that he must have been mentally ill and that, if he wasnââ¬â¢t when he started his rule, the pressures of his failed wars must have driven him mad. Given that he ordered genocide and ranted and raved, it is easy to see why people have come to this conclusion, but itââ¬â¢s important to state that there is no consensus among historians that he was insane, or what psychological problems he may have had. Sources ââ¬Å"Adolf Hitler.â⬠Biography.com, AE Networks Television, 14 Feb. 2019. Alan Bullock, Baron Bullock, et al. ââ¬Å"Adolf Hitler.â⬠Encyclopedia Britannica, Encyclopedia Britannica, Inc., 19 Dec. 2018.
Tuesday, February 25, 2020
To what extent is the work of philosophers such as Popper, Kuhn, Essay - 1
To what extent is the work of philosophers such as Popper, Kuhn, Lakatos and Feyerabend useful in forming a critical judgement of modern economic practice - Essay Example e complexities that most people tend to consider irrelevant but I believe mostly significant in order to fully comprehend the standards of the era we are living right in. I would want to examine and expound more of the modern practices that various economists of today have been doing so as to provide and present a clear illustration and brilliant depiction of an intermingling global economic viewpoint. Doing this, I shall be indulging and expounding more of the different approaches, methods and technical procedures that recent philosophers have used in various investigations and explanations of economic concepts and theories. As for this paper, I would not only be elaborating further on how these economic concepts affect the peopleââ¬â¢s mind-set, but I shall be of critique as to how these theories have shaped the contemporary practices that we can observe today. Having said this, I should note that economics, as a whole, as what Pheby has said in Methodology and Economics is not exactly similar, in fact very different, with other behavioural sciences and physical sciences like sociology, political science, physics and chemistry respectively. This is since economics is a very strange branch of science that is somehow dependent on human actions and on how these actions are deemed important as to the evaluation of results and analysis of consequences and outcomes (Blaug 1980). To start my observation and analysis, I would want to give and make sense of the technical definition of empirical research as the basis of my fundamental argument. As lifted from a journal article entitled Empirical Research published by the Norfolk State University, empirical research has been defined as the systemic research process which only involves predetermined observations and measured phenomena. It reports and publishes facts and figures based on observed results and actual experimental quantifications in order to generate a relationship and draw numerical conclusions involving two or
Sunday, February 9, 2020
Performance management homework 1 Essay Example | Topics and Well Written Essays - 750 words
Performance management homework 1 - Essay Example To determine this rate, all the machining, assembly, and fabricating direct costs must be multiplied with the multiply of their sum total. This calculation will help in determining or estimating the overhead rates. Precision Joinery Co. Manufactures high-quality wooden products for the house-building sector, specializing in window-frames, doors and kitchen cabinets. For many years, the companyââ¬â¢s costing system has relied on the assumption that direct labor hours were the critical factor in the occurrence of overheads. Accordingly, overheads were allocated to products on the basis of the direct labor hours taken to manufacture each product. The companyââ¬â¢s relationship with its customers has changed in recent years. House-building companies have become more rigorous in their demands in terms of both product design and service support after delivery. The Managing Director of Precision Joinery Co. Has become increasingly disillusioned with the current product costing system, which he believes to be producing costs which do not reflect the change in the market environment initiated by the companyââ¬â¢s customers. Under duress, the Management Accountant has carried out a further examination of available costing information, some of which the Managing Director considers useful in a possible redefinition of the costing system. The activity based costing or the ABC cost allocation often assigns the manufacturing overhead costs of the products in a highly logical way than the normal or the traditional approach that simply allocates costs on the basis of the machine hours (Armstrong and Baron, 2005; p. 85). The ABC initially assigns costs to activities that really lead to the overhead. After that, it assigns costs to activities or products that are actually demanding the activities. The overall result often maps the miscalculations on the true cost of the manufacturing overhead. Therefore, it is apparent that the ABC
Thursday, January 30, 2020
Age of Extremes Essay Example for Free
Age of Extremes Essay The twentieth century was rich in events and outstanding personalities. In his book Age of Extremes, Eric Hobsbawm provides an extensive review of what happened during the Twentieth Century and the impact of those events on human development. According to Hobsbawm, the Twentieth Century was both the Age of Catastrophe and the time of the extraordinary economic growth ââ¬â a complex sandwich of events and developments that changed the human society ââ¬Å"more profoundly than any other period of comparable brevityâ⬠(Hobsbawm, 1995). In the first two chapters of Age of Extremes, Eric Hobsbawm (1995) tries to evaluate the social and historic legacy of the Twentieth Century and creates a brief picture of the events and accomplishments that took place between 1914 and 1991. The author is confident that human society cannot distance itself from the events of the past, because everyone on the globe, irrespective of their life history and personal background, went through more or less similar central experiences that affected them all (Hobsbawm, 1995). Hobsbawm (1995) traces the evolution of the Twentieth Century from the First World War, which marked ââ¬Å"the breakdown of the western civilization of the nineteenth centuryâ⬠(p. 6). The western civilization was characterized by capitalist economy, liberal constitutional structure, bourgeois image of the hegemonic class, and the glory of scientific, educational, technological, knowledge, and moral advance (Hobsbawm, 1995). The decades following the beginning of the First World War were the Age of Catastrophe: until the end of WWII, the society stumbled from one calamity to another and lived at the edge of survival (Hobsbawm, 1995). The failure of the major colonial empires and the economic crisis of unprecedented depth added their share of complexity to the state of world affairs (Hobsbawm, 1995). Hobsbawm (1995) believes that the victory of the Soviet Union over Hitler was one of the most important events of the Twentieth Century. Without it, the whole Western world could have turned into set of variations on fascist themes (Hobsbawm, 1995). The rise of the socialist movements was the direct result of the weaknesses in the nineteenth-century bourgeois society (Hobsbawm, 1995). How and why the world threw itself into the Golden Age of capitalism between 1947 and 1973 remains one of basic historical puzzles; but the Golden Age could not be endless and the global crisis that followed affected all, irrespective of their political, social, and economic configurations (Hobsbawm, 1995). The economic crisis gradually extended to cover political issues ââ¬â the collapse of the Soviet Union produced an enormous zone of political uncertainty and destroyed the stable system of international relations (Hobsbawm, 1995). The economic and political uncertainties were followed by the moral and social crisis ââ¬â the crisis of beliefs, which humans had used over the course of the Twentieth Century to win their battle over the nineteenth centuryââ¬â¢s ideology (Hobsbawm, 1995). The century that had begun with unbelievable optimism and faith in the future ended with a bang and a whimper, leaving the society in the midst of the moral, social, economic, and mental collapse (Hobsbawm, 1995). In Hobsbawmââ¬â¢s (1995) view, the Twentieth Century was the time of unprecedented achievements and dramatic failures. The cyclical nature of evolution resulted in continuous instability and profound economic, social, and political shifts. For many countries, the Twentieth Century became the time of remarkable changes and the beginning of the new era of uncertainty and chaos. Whether countries succeed in resolving the existing controversies depends on how well they can learn the lessons of the past and use wisely the historical, political, and moral legacy of the stormy Twentieth Century. Conclusion The Twentieth Century was the time of unprecedented achievements and failures. The capitalization of the word combination ââ¬Å"Twentieth Centuryâ⬠by Hobsbawm (1995) is not accidental. The author feels that the Twentieth Century reflected a unique paradox: the triumph of the material values and their absolute rejection at the end of the era. The century that had begun with unbelievable optimism and faith in the future ended with the deep crisis of the moral and mental ideologies, leaving humanity in the midst of the social, economic, cultural, and moral collapse. Whether countries succeed in resolving the existing controversies depends on how well people can learn from the past and use wisely the historical, political, and moral legacy of the stormy Twentieth Century.
Wednesday, January 22, 2020
The Book Of Sand Essay examples -- essays research papers
Jorge Luis Borges is a famous Spanish author, known best for his short stories. In this paper, I will discuss several short stories written by Mr. Borges, what influenced him in his writings, and a brief history of his place of origin, Argentina. Borges' The Book of Sand is the story of a man who is visited by a stranger trying to sell a "holy book" called the Book of Sand. The narrator looks at the book and is unable to see the first or last pages of it because, as the stranger explains, the number of pages is infinite. The narrator is fascinated by the book and buys it, only to become obsessed with it, until the point that it is all he thinks about. He eventually gets rid of it by mixing it up in a pile of many other books in his basement. As will be discussed in this paper, Borges wrote philosophy in a lot of his works. In The Book of Sand, infinity is depicted in the form of a mysterious book. It symbolizes man's constant search for the world's existence. Borges is saying that it is an endless search and therefore pointless. The Other is the story of Borges sitting on a bench, as he feels as though he had lived that moment already. He begins to speak to the man seated besides him, and finds out the stranger has the same name, and the same address as he does. When Borges asks the man what year it is, the man answers 1918, even though it is 1969. It is then that the narrator figures out he is talking to the person whom he was fifty-one years earlier. He then tells "the other" him of the future, after which they part, knowing they will never meet like this again. This story deals with time. The author is very nostalgic and lives for his memories. It also is a philosophical story where Borges expresses his doubt that we all may "just be an image of a greater being". The Mirror and the Mask is the story of an Irish king who tells a poet to write a poem describing his power. The poet wrote a praise of his fighting success, and in reward for the excellent poem, the king gives the poet a beautiful mirror and tells him to write another poem. In reward for his next work, the king gives the poet a mask. The king then asks for a third poem and receives a one line poem of perfection and in return gives him an elaborate dagger. The poet feels it to be a sin to hear such perfection and so he stabs himself with the dagger. The king ... ...s for his interest in eternity and his desire for control of time. He admits in his poems that time moves on, the world changes, that he will grow old, and that the past is gone forever. He says that one can only rely on their memories (as he expresses in The Other). In his fifties, Borges becomes blind, but continues to lecture in colleges and conferences around the world. During his lifetime, Borges was nominated several times for the Noble Prize in Literature. He wrote alot of short stories, literary reviews (based on books that never existed), poems and more. Although he passed away on June 14, 1986, his writings live on to be shared with all generations. When Borges was born, Hipolito Yrigoyen headed the Radical Civic Union. General Roca was president at that time and he defended the middle class (which was what Borges was). Argentina had alot of trade with Britain and helped the economy to flourish. The people became more educated. As you can see, Borges' greatest influences were his childhood, familial background, and people he met while starting to write. Borges writings are enjoyable and thought provoking. I definitely recommend it to people interested in philosophy.
Tuesday, January 14, 2020
Pythagorean Philosophy
ââ¬Å"Music is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elementsâ⬠¦ Music is the basis of agreement among things in nature and of the best government in the universe. As a rule it assumes the guise of harmony in the universe, of lawful government in a state, and of a sensible way of life in the home. It brings together and Every school student will recognize his name as the originator of that theorem which offers many cheerful facts about the square on the hypotenuse. Many European philosophers will call him the father of philosophy. Many scientists will call him he father of science. To musicians, nonetheless, Pythagoras is the father of music. According to Johnston, it was a much told story that one day the young Pythagoras was passing a blacksmith's shop and his ear was caught by the regular intervals of sounds from the anvil. When he discovered that the hammers were of different weights, it occured to him that the intervals might be related to those weights. Pythagoras was correct. Pythagorean philosophy maintained that all things are numbers. Based on the belief that numbers were the building blocks of everything, Pythagoras began linking numbers and music. Revolutionizing music, Pythagoras' findings generated theorems and standards for musical scales, relationships, instruments, and creative formation. Musical scales became defined, and taught. Instrument makers began a precision approach to device construction. Composers developed new attitudes of composition that encompassed a foundation of numeric value in addition to melody. All three approaches were based on Pythagorean philosophy. Thus, Pythagoras' relationship between numbers and music had a profound influence on future musical education, The intrinsic discovery made by Pythagoras was the potential rder to the chaos of music. Pythagoras began subdividing different intervals and pitches into distinct notes. Mathematically he divided intervals into wholes, thirds, and halves. ââ¬Å"Four distinct musical ratios were discovered: the tone, its fourth, its fifth, and its octave. â⬠(Johnston, 1989). From these ratios the Pythagorean scale was introduced. This scale revolutionized music. Pythagorean relationships of ratios held true for any initial pitch. This discovery, in turn, reformed musical education. ââ¬Å"With the standardization of music, musical creativity could be recorded, taught, and reproduced. â⬠(Rowell, 1983). Modern day finger exercises, such as the Hanons, are neither based on melody or creativity. They are simply based on the Pythagorean scale, and are executed from various initial pitches. Creating a foundation for musical representation, works became recordable. From the Pythagorean scale and simple mathematical calculations, different scales or modes were developed. The Dorian, Lydian, Locrian, and Ecclesiastical modes were all developed from the foundation of Pythagoras. â⬠(Johnston, 1989). ââ¬Å"The basic foundations of musical education are based on the various modes of scalar relationships. â⬠(Ferrara, 1991). Pythagoras' discoveries created starting point for structured music. From this, diverse educational schemes were created upon basic themes. Pythagoras and his mathematics created the foundation for musical education According to Rowell, Pythagoras began his experiments demonstrating the tones of bells of different sizes. Bells of variant size produce different harmonic ratios. â⬠(Ferrara, 1991). Analyzing the different ratios, Pythagoras began defining different musical pitches based on bell diameter, and density. ââ¬Å"Based on Pythagorean harmonic relationships, and Pythagorean geometry, bell-makers began constructing bells with the principal itch prime tone, and hum tones consisting of a fourth, a fifth, and the octave. â⬠(Johnston, 1989). Ironically or coincidentally, these tones were all members of the Pythagorean scale. In addition, Pythagoras initiated comparable experimentation with pipes of different lengths. Through this method of study he unearthed two astonishing inferences. When pipes of different lengths were hammered, they emitted different pitches, and when air was passed through these pipes respectively, alike results were attained. This sparked a revolution in the construction of melodic percussive instruments, as well as the wind instruments. Similarly, Pythagoras studied strings of different thickness stretched over altered lengths, and found another instance of numeric, musical correspondence. He discovered the initial length generated the strings primary tone, while dissecting the string in half yielded an octave, thirds produced a fifth, quarters produced a fourth, and fifths produced a third. ââ¬Å"The circumstances around Pythagoras' discovery in relation to strings and their resonance is astounding, and these catalyzed the production of stringed instruments. â⬠(Benade, 1976). In a way, music is lucky that Pythagoras' attitude to experimentation was as it was. His insight was indeed correct, and the realms of instrumentation would never be the same again. Furthermore, many composers adapted a mathematical model for music. According to Rowell, Schillinger, a famous composer, and musical teacher of Gershwin, suggested an array of procedures for deriving new scales, rhythms, and structures by applying various mathematical transformations and permutations. His approach was enormously popular, and widely respected. ââ¬Å"The influence comes from a Pythagoreanism. Wherever this system has been successfully used, it has been by composers who were already well trained enough to distinguish the musical results. In 1804, Ludwig van Beethoven began growing deaf. He had begun composing at age seven and would compose another twenty-five years after his impairment took full effect. Creating music in a state of inaudibility, Beethoven had to rely on the relationships between pitches to produce his music. ââ¬Å"Composers, such as Beethoven, could rely on the structured musical relationships that instructed their creativity. â⬠(Ferrara, 1991). Without Pythagorean musical structure, Beethoven could not have created many of his astounding compositions, and would have failed to establish himself as one of the two greatest musicians of all ime. Speaking of the greatest musicians of all time, perhaps another name comes to mind, Wolfgang Amadeus Mozart. ââ¬Å"Mozart is clearly the greatest musician who ever lived. â⬠(Ferrara, 1991). Mozart composed within the arena of his own mind. When he spoke to musicians in his orchestra, he spoke in relationship terms of thirds, fourths and fifths, and many others. Within deep analysis of Mozart's music, musical scholars have discovered distinct similarities within his composition technique. According to Rowell, initially within a Mozart composition, Mozart introduces a primary melodic theme. He then reproduces hat melody in a different pitch using mathematical transposition. After this, a second melodic theme is created. Returning to the initial theme, Mozart spirals the melody through a number of pitch changes, and returns the listener to the original pitch that began their journey. ââ¬Å"Mozart's comprehension of mathematics and melody is inequitable to other composers. This is clearly evident in one of his most famous works, his symphony number forty in G-minorâ⬠(Ferrara, 1991). Without the structure of musical relationship these aforementioned musicians could not have achieved their musical aspirations. Pythagorean theories created the basis for their musical endeavours. Mathematical music would not have been produced without these theories. Without audibility, consequently, music has no value, unless the relationship between written and performed music is so clearly defined, that it achieves a new sense of mental audibility to the Pythagorean skilled listener.. As clearly stated above, Pythagoras' correlation between music and numbers influenced musical members in every aspect of musical creation. His conceptualization and experimentation molded modern musical practices, instruments, and music itself nto what it is today. What Pathagoras found so wonderful was that his elegant, abstract train of thought produced something that people everywhere already knew to be aesthetically pleasing. Ultimately music is how our brains intrepret the arithmetic, or the sounds, or the nerve impulses and how our interpretation matches what the performers, instrument makers, and composers thought they were doing during their respective creation. Pythagoras simply mathematized a foundation for these occurances. ââ¬Å"He had discovered a connection between arithmetic and aesthetics, between the natural world and the human soul.
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