A review of the life and work of the mathematician Georg Cantor.
Essay # 8576 |
2,755 words (
approx. 11 pages ) |
4 sources |
MLA | 2002
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$ 49.95
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Abstract
This paper is a biographical description of the work of Georg Cantor and his work in the development of set theory. In his time, these hypotheses were considered greatly controversial by other mathematicians. However, now they are an integral part of the study of mathematics.
From the Paper
"Georg attended several private schools in Frankfurt, and in 1859, entered the distinguished Grossherzoglich Hessiche Provinzialrealschule in Darmstadt. He left this institution in 1860 with high recommendations in mathematics. His father discouraged the study of math due to the fact that he wished him to become an engineer, a job that paid considerably more than mathematics. He originally attended Grossherzogliche Hoehere Gewerbeschule (Grand-Ducal Higher Polytechnic, later changed to Technische Hochschule) at Darmstadt following his father's wishes and studying Engineering. Later, when Georg convinced his father that his heart was truly in math, his father relented and he began the study of Mathematics in 1862 (Johnson, 1997). "
Tags:set, theory, mathematics, elements, hypothesis, mental, illness
Discusses the crisis management measures adopted by Cantor Fitzgerald since the 9/11 tragedy.
Essay # 33585 |
1,900 words (
approx. 7.6 pages ) |
6 sources |
2002
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$ 36.95
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This paper focuses on the recent crisis faced by Cantor Fitzgerald when it lost more than 700 of its employees in the tragic attacks of September 11 and discusses the crisis management measures adopted by the firm.
Tags:crisis, management
A historical evaluation of "The Civilization of the Middle Ages" by Norman F. Cantor.
Essay # 42022 |
900 words (
approx. 3.6 pages ) |
1 source |
2002
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$ 19.95
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This paper will discuss the book by Norman F. Cantor, and seek to overview some of the ideas that form his historical evaluation of the Catholic Church in the medieval period. His case for historical validity will be covered here.
A discussion of four books on the Middle Ages: "Chaucer" by Donald Howard, "Inventing the Middle Ages" by Norman Cantor, "Montaillou" by Emmanuel Lafurie and "A Distant Mirror" by Barbara Tuchman and possible reasons for their popularity.
Book Review # 20271 |
2,250 words (
approx. 9 pages ) |
9 sources |
1993
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$ 41.95
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From the Paper
"Publishing is a business dependent on the vagaries of public taste, and the best-seller list is the goal for every book published. Achieving sales sufficient to reach the best-seller list is difficult, and it seems to many people like only certain kinds of books get on that list, books with a broad appeal, certainly, which also might mean books that appeal to the sort of "lowest common denominator" that rules television. Yet, clearly this is not the case, since books of widely divergent types on subjects that might be considered difficult and even esoteric have become major best-sellers. The four books discussed here are all non-fiction books but are also from very different fields, and none of them involves subject matter that can be considered of broad appeal on its face or of immediate interest in the way a book on a current subject might be. Donald R."
A discussion on Andy Warhol as a 20th century artistic genius.
Term Paper # 136972 |
2,250 words (
approx. 9 pages ) |
4 sources |
MLA |
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The paper looks at how Cantor stated that modernism in the early 20th century "cared little for history; it was in fact hostile to it" (35), and according to Cantor, modernism called on a "shift in thought...from the big to the small, from the general to the particular" (35). The paper relates that Cantor expanded on this idea by stating that modernism in art included many of the art forms found in "pop art", although this period of art is primarily considered post-modernism (35). The paper discusses how Cantor contends that much of the pop art of the 20th century was initially believed to be "vanguard art" that was not taken seriously (35), however, as time progressed society began to accept this art form as one that focused on the "particulars" of society and that further pop art expressed that "everything was meaningful" and that in some way, all things were tied to something else" (35). The paper explains that Cantor contends that the most prevalent of the pop artists of the 20th century were Andy Warhol, Jasper Johns and Roy Lichtenstein (35). The paper explains that these artists focused on elements of every day life that spoke of the time in which they lived and mundane pieces of existence, such as Brillo boxes and soup cans were the central focus on their art. Furthermore, the paper explains that these artists had the view that by creating these images in their own personal fashion that they were asking the viewer to relate those items to their lives, thereby making a comment on particular facets of life (Cantor 35).
From the Paper
"Cantor stated that modernism in the early 20th century "cared little for history; it was in fact hostile to it" (35). According to Cantor, modernism called on a "shift in thought...from the big to the small, from the general to the particular" (35). Cantor expanded on this idea by stating that modernism in art included many of the art forms found in "pop art", although this period of art is primarily considered post-modernism (35). Cantor contends that much of the pop art of the 20th century was initially believed to be "vanguard art" that was not taken seriously (35)."
Tags:art, andy, warhol
The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring ...
Essay # 137687 |
1,750 words (
approx. 7 pages ) |
3 sources |
MLA |
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The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory - which was the precursor to Zermelo-Fraekel set theory. Lastly, the notion of a universal set was called into question by Russell's work. In the final analysis, Bertrand Russell turned the work of Cantor, Frege and many others on its ear - and took logic in exciting new directions.
From the Paper
Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory
Tags:russell's, paradox, history
An analysis of the movie "The Jazz Singer," directed by Alan Crosland.
Film Review # 115850 |
725 words (
approx. 2.9 pages ) |
0 sources |
2009
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$ 15.95
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The paper describes the movie "The Jazz Singer" that centers on a young Jewish boy, Jackie Rabinowitz, who casts aside the Orchard Street Synagogue and his Jewish heritage for a life of loving jazz music and assimilating into American values. The paper discusses how Jackie does not mold to his father's expectation of becoming the next singing cantor, and trail blazes his way into a life of show business. The paper looks at the reaction of Jackie's father and asserts that a young 13 year-old boy should be given the motivation and support to seek his dreams, even if this contradicts what the father or mother believes.
From the Paper
"America has been paved with many cultural aspects, as the United States is referred to as a great melting pot. However, some ideals, religions, and moral values do not quite melt, but remain a heterogeneous mixture inside the culture that has been fused together. In the 1920's, the United States was a booming nation. In between two wars, an assimilated culture was about to be born. Miss America was crowned at the age of 16. The Boy Scouts of America came into its own as a recognized organization. Bela Lugosi starred in the first production of Dracula, and the Jewish Publishing Society was well into its 40th year. New musical genres were gaining popularity, and the Jazz Singer dealt with the issue of casting away cultural mores for ones that have been considered important by individuals."
Tags:assimilation, values, Judaism, heritage, parents
This paper explains, using examples from ancient religions and from Judaism and Christianity, that sacred music is a way to bolster the message of divine communication.
Essay # 68631 |
1,950 words (
approx. 7.8 pages ) |
5 sources |
MLA | 2005
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$ 37.95
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This paper discusses that today sacred music plays a significant role in all the world's religions just as, before there were scriptures, sacred songs in the oral traditions of poets and musicians carried the sacred words to the people. The author points out that Judaism has done a better job of preserving its musical heritage than Christianity because Judaism considers the sacred texts as simultaneously inviolate and yet open to further revelation. The paper contends that Protestant music is generally not considered to be the word of God; in the Catholic Church, the sung mass is increasingly being abandoned along with most of the Church's musical history.
From the Paper
"Before pursuing the issue of this change any further, it becomes necessary to step back a moment an analyze the place and value of music in the Catholic Church and in Judaism as it was before the rather radical stripping of such things from worship. (It might be pointed out that music seems to have retained a more prominent place in Jewish than in Christian worship) In the Catholic Church, music historically had a very strong role. The majority of the common people throughout its history only came to understand the theology of their faith fully through the art of the church. Stainglass windows told stories about the Bible, but it was the mass --a musical ritual-- which explained to them the core ideas about salvation."
Tags:rhythmaculture, cantors, hymn, mass, dionysus
Discusses the changes in society from the 1970s and 80s and how they have impacted our lives.
Essay # 29738 |
903 words (
approx. 3.6 pages ) |
3 sources |
MLA | 2002
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$ 19.95
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Modernism commonly refers to early 20th century when industrialization had given way to new cultural and social values. This paper focuses, however, on the new changes in the concept of modernity, which defines our current cultural views, social forces and self-identity. These changes took place somewhere in the 1970s after the demise of the Beat generation. In fact almost every change that defines the modern world has its roots in the changes that took place during the 1970s and 80s. The paper shows that these decades have had a profound impact on modern worldview, thus completing reformulating and redefining various aspects of our lives.
From the Paper
"The concept of self has undergone a dramatic transformation too which has made sociologists and culture analysts take notice of modernity that emerged after 1970s and made us redefine and reformulate previously valid definitions of various concepts. For example, the impact of technological modernization and globalization can be felt in all areas of life and has made us believe in far-fetched possibilities. Who could have thought half a century go that you could work from home using a machine that would bring you customers from all over the globe. Everyone thought that "job" meant a 9-5 duty, which required you to leave home and follow a proper dress code. But all that has changed now. There are many people worldwide who have established their businesses from home and can communicate with millions of potential customer through the Internet. This has resulted in redefinition of job and work".
Tags:Norman, F., Cantor, Vietnam, War
Examines the trend of minorities within the American Republican party to be elected to leadership positions.
Research Paper # 26220 |
5,240 words (
approx. 21 pages ) |
25 sources |
APA | 2002
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$ 78.95
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When Congressman J.D Hayworth of the Republican party lost his campaign to fellow-Republican Deborah Pryce, he believed that it was due to the fact that her campaign was helped by the Democrats electing another woman, Nancy Pelosi as their leader and her nomination as the first woman Speaker nominee. This paper questions whether unqualified minorities are unfairly promoted over more qualified majorities in the House Republican Party to try to promote an image of diversity. It questions too whether Pryce really more qualified to be the Republican Conference Chairman then Hayworth or others. By creating a baseline for how a member of Congress could rise into a House Leadership post, this paper examines how minority Republican and Democratic members of leadership have been elected into leadership, with a special focus on comparing Pryce and Pelosi. This analysis also proves that while minority Republicans are encouraged more often than non-minorities to run for a leadership post, a majority of the time the minorities that are elected are qualified for their posts.
From the Paper
"Hoops' guidelines can generate an effective roadmap for any Member of Congress that is interested in becoming a leader among leaders, but it can also serve as a tool of analysis. Six out of the seven Members of Congress that were examined in this thesis fit Hoops' guidelines and were or are successful leaders in the House. The only one did not fulfill these criteria, Watts, was an unsuccessful leader. The elections of Nancy Pelosi as the House Democratic Minority Leader and Deborah Pryce as the House Republican Conference Chairman were not because of their gender, but because of their qualifications. Their elections may have been historic, but they were well earned, thus it can be concluded that while the House Republican Party has at times attempted to promote minorities over majorities, these minority candidates are just a qualified if not more qualified than their majority counterparts to leader. This conclusion is proven and supported by Hoops' guidelines."
Tags:blunt, bonilla, cantor, watts