Thus, the meeting between Plato and Socrates is not surprising as they…… [Read More]. Lives of Archimedes and Carl Friedrich Gauss. This son of an astronomer and mathematician was born into a distinguished family and was able to comfortably devote his life to mathematical research. Carl Friedrich Gauss was born into a humble German family. His early mathematical promise marked him as a prodigy and eventually earned him admission to university.
Major Mathematical Ideas The mathematical work of Archimedes centered on the theoretical, particularly geometry. His greatest mathematical contribution involved measuring areas and segments of plane and conic sections. Gauss's work centered on number theory. Unlike Archimedes, Gauss also used ventured into applied mathematics…… [Read More].
Deam Content as a Theapeutic Appoach: Repessed Feelings An Abstact of a Dissetation This study sets out to detemine how deams can be used in a theapeutic envionment to discuss feelings fom a deam, and how the theapist should engage the patient to discuss them to eveal the elevance of those feelings, in thei pesent, waking life.
It also discusses the meaning of epetitious deams, how medication affects the content of a deame's deams, and if theapists actually "guide" thei clients in what to say. This "guidance" might be the theapist "suggesting" to thei clients that they had suffeed some type of ealy childhood tauma, when in fact, thee wee no taumas in thei ealy childhoods.
The oigin of psychiaty is not, as it would have people believe, medicine, theapy o any othe even faintly scientific endeavo. Its oiginal pupose was not even to cue mental affliction. Ancient Philosophy Though it is acknowledged that the words and ideas of Socrates have been filtered though the thoughts of those that followed him, namely Plato, as Socrates wrote nothing himself, it is also clear that the interpretation garnered by the ancients has been profoundly felt throughout western culture.
It is also clear that the body of work that survives in fragmentation recorded as prior to the Socratic philosophical revolution is a strong basis for that which followed, it can also be described as simpler or at least less complex. The main difference according to the writings of the post Socratic philosophers between Socratic ethics and pre-Socratic ethics are twofold.
On the one hand the idea that philosophical questions are not and cannot be seen as finite and on the other the establishment of Socrates as the supreme model of the philosophical life and all its trappings. The impact that…… [Read More]. History of Chinese Mathematics. Chinese Mathematics In ancient China, the science of mathematics was subsumed under the larger practice of suan chu, or the "art of calculation. Their early mathematical studies have influenced science among neighboring Asian countries and beyond.
This paper examines the history of mathematical knowledge in China. It looks at the early Chinese achievements in the field of mathematics, including the decimal system, calculation of pi, the use of counting aids and the application of mathematical principles to everyday life.
It also examines the influence of Indian and later, European mathematical knowledge into Chinese mathematics. Early China Unlike the ancient Greeks who prized knowledge for its own sake, much of the scientific studies conducted in ancient China were spurred by practical everyday needs.
Because of its geographic location, China was prone to…… [Read More]. Nova Episode the Proof. Compare and contrast this with your own experiences with mathematics, particularly your approach toward learning about new mathematical problems and trying to solve them. It is a story of determination, setting goals, and finding out that solutions come from many different places and ideas. You have to be open to new ideas when you try to solve anything, whether it is a complex mathematical problem, or a personal problem.
The proof is really about keeping an open mind, and looking at all the angles of a problem. Skepticism Is Defined as a School of. Skepticism is defined as a school of philosophical thought where a person doubts the beliefs of another person or group. Not only do they doubt organized religion, they also doubt the validity of socially constructed morals and laws. Sometimes they doubt the world as they witness it because they are unsure of the truth of reality as they perceive it through the senses Butchvarov Like many philosophies, skepticism has origins in Ancient Greece.
Pyrrho of Elis is credited with founding the philosophy, a branch of which was later named Pyrrhonism in his honor. The philosophy was expanded into countries throughout the known world, up to and including the early modern world. During the Enlightenment, skepticism branched…… [Read More]. Plato a Platypus and the Enlightenment. Plato and the Platypus Philosophers in the Enlightenment era would come up with various new means to popularize ideas.
Denis Diderot conceived the first encyclopedia in this period, which was an attempt to systematize all world knowledge in an accessible way. But also, in another innovation, Voltaire would offer as a refutation of the optimistic philosophy of Leibniz -- which held that "this is the best of all possible worlds" -- a new form of philosophical argument: Voltaire's short book Candide is essentially an extended refutation of Leibniz's view of God or perhaps any view of God , but it makes its points through satirical humor.
In some sense, Thomas Cathcart and Daniel Klein are following in the footsteps of Voltaire by attempting to shed light on philosophical ideas through the medium of humor in their work Plato and a Platypus alk Into A…… [Read More].
Vanessa has the other half of the map. If they share their information, then they can find x and save a lot of digging. Solving for x, the solution involves plugging in the binomials mentioned in the problem using the Pythagorean theorem.
The Pythagorean theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem is expressed in the following equation: How maps developed at first. Map of New orld They say that the winners of wars write history books. Indeed, the maps of that day are somewhat, if not wildly, inaccurate. They indeed reflect the desires and presumptions that the mapmakers of those days made.
Indeed, the travel of Columbus proves that. Dark Age and the Archaic Age. Dark Age and the Archaic Age Having watched the lectures for the prior learning unit on video, I was prepared to enjoy the video lecture presentation for this learning unit. I previously found the presentation of lectures in the video format to be very convenient because I could observe at my own pace, rewind if I missed part of the lecture, have flexibility about when I was viewing the lecture, and not be distracted by the behavior or questions of other students.
I acknowledged that there were some negatives to the video-learning environment, such as missing out on the organic and natural question and answers that develop in a live classroom setting, but had decided that missing those was an acceptable trade-off given the other benefits that I was receiving from the video lecture environment. Therefore, I was surprised to find that I did not enjoy the video lectures for…… [Read More].
Criminal Justice Although Jeff's Confession. If this is indeed the case, Leach is within his rights to appeal for an overturn of his conviction. The Fourth Amendment protects travellers from unwarranted police searches, which appears to be what happened in this case. The Fourth Amendment then protects the rights of individuals to reasonable expectation of privacy. While Archibald Leach voluntarily yielded his luggage for investigation, the search itself was not conducted in a legal manner if there was neither warrant, reasonable suspicion or probable cause.
The case does not mention any of these, based upon which the conclusion can be that Leach has sound grounds for appeal. When can the police stop and frisk you on the street? Jazz dance is an integral part of American history.
The various types of jazz dance all come from a fusion of African and European traditions, which is why jazz dance symbolizes American culture itself.
According to Tilton's film Jazz Dance, jazz dance first evolved in the Deep South and spread as far as Europe before returning home to America. Jazz dance is not monolithic, and it is important to recognize the differences between types of dancing such as tap and swing in order to understand the contexts in which the dances were or are used.
For example, some dances became popular in theater, while others were more comedic. Jazz dance might not seem to have a political or even an economic dimension, but it certainly does. The impact of jazz dance on American society has been felt on almost every dimension including political, economic, and social realms.
In particular, jazz…… [Read More]. Isaac Newton Ruba the Three Laws of. Isaac Newton's Greatest Contribution To the World of Science Isaac Newton is a renowned mathematician, scientist, inventor, professor, and public official who influenced the world of science with his extraordinary and brilliant theories on different phenomena in primarily the study of physics, astronomy, and optics.
Born on the 4th of January, , Isaac Newton's life as a young man in Woolsthorpe, Lincolnshire in England is unremarkable, and Newton, at a young age, did not show and possess the brilliant mind that he has while attending a formal school education at the Free Grammar School in Grantham O'Connor and obertson As a child, Newton did not seem to possess the intellectual strength that he was known for, and had a hard time living with his family during his childhood years because of the constant tension between him and his stepfather and mother.
Home Topics People Pythagoras Essays. Retrieved December 6, , from Grolier Online. Retrieved December 5, , from Encyclopedia Britannica Online. Socrates and Pythagoras View Full Essay. Works Cited Benstock, Seymour L.
Boyd, Malcolm, and John Butt, eds. Oxford University Press, Absolute Music and the Construction of Meaning. Cambridge University Press, Works Cited Bunge, M. Matter and Mind, 2 , An introduction to the history of psychology. The distinction between mental and physical illness. British Journal of Psychiatry,, Works Cited Annabelleke, et al. Accessed online June 1, at http: The Christian Science Monitor.
Crossing the Digital Divide. Encyclopaedia Britannica -- articles on Plato and the history of philosophy, edition. Works Cited Burgess, Anthony. Ulysses on the Liffey. New York and London: James Joyce and the Politics of Desire. Lastly, the piece points out how Newton used the thought patterns associated with calculus in what appears to the modern reader as a work of geometry with respect to his book "The Principia".
In this way, the article functions as a reminder of how scientific discoveries are created, which is by building upon the theories of others and by giving weight to the importance to mathematical principles.
Works Cited Collingwood, R. References McFarlane, Thomas J. Nicholas of Cusa and the Infinite. Works Cited Pre-Socratic Reader: Selected Fragments and Testimonial. Edited by Patricia Curd. Translations by Richard D. Hackett Publishing Company, The tree in Pythagoras' garden.
Australian Senior Mathematics Journal, 24 2 , Pearson Prentice Hall, Australian Senior Mathematics Journal, 20 1 , Works Cited Alghieri, Dante Inferno.
Routledge; First Edition, Works Cited Brier, Bob. Works Cited Bell, Daniel Orth. Works Cited Guisepi, R. Retrieved December 30, , at http: School of Athens, "Who is Who? Bibliography Gillispie, Charles C. The Dictionary of Scientific Biography, 16 vols.
Charles Scribner's Sons, Life and Works" by Ivor Bulmer-Thomas. Design Influences View Full Essay. Works Cited Brunner, Hellmut. Decipherment of hieroglyphic writing: In Encyclopedia Britannica [premium service]. An Illustrated Guide to the Supernatural, Vol.
Marshall Cavendish Corporation, References Cited Autrey, James. Business Lessons from the Tao Te Ching. Bibliography Benjamin Jowett, trans. The Republic by Plato. Theories of the state. The Politics of Liberal Democracy. London and New York: Macmillan and Meredith, Works Cited Anthony and Derwas J. The Letters of Saint Anthony the Great. The Life of St. Eastern Orthodox Books, a. Eastern Orthodox Church, b. Religions of the United States in Practice: Results and Evaluation The main purpose of this study is to examine the effectiveness of using music on vocabulary competence, writing, reading comprehension and motivation in English Language Learning in High school students as a part of the learning process in the classroom.
Many teachers of English as a second language as well as the learners consider vocabulary as a critical factor in learning the language. Therefore it is important to develop creative and interesting ways of teaching vocabulary in English class.
A qualitative study was appropriate for the research for the reason that the objective was exploratory Creswell, The significance that was recognized to the singularities of teaching was examined with hermeneutic methods Creswell, In order to give a reply to the answer of the three research questions, mean scores and standard deviations were computed for each of the two groups on each of the three dependent measures at the ending of study. All three of the dependent measures are considered to be the evaluation of the sight-reading, the evaluation of the playing abilit, and the.
Sophocles Oedipus View Full Essay. Works Cited Diogenes Laertius. Life of Plato trans R. Retrieved 30 November from http: Simon and Schuster, A History of Mathematics, 2nd ed. John Wiley and Sons, Gauss," in Guide to the History of Calculus. Clinical Psychology View Full Essay. This may be related to the large decrease in familiar settings in the post-medication dreams. Although Domhoff does not list a high percentage of elements from the past as an indicator of psychopathology, he does mention that people suffering post-traumatic stress disorder PTSD , a type of anxiety disorder, tend to have dreams in which distressing events are relived again and again.
It may be that other anxiety disorders invoke a similar response in which the dreamer has a tendency to dwell on past events, which merits further research.
A final observation is that the results of this study provide support for Hartmann's biological model of the effects of drugs on dreams. Based on his own research and the literature on drugs and nightmares, Hartmann proposed that drugs that increase the neurotransmitters dopamine or acetylcholine, or decrease norepinephrine or serotonin, produce nightmares and more vivid and bizarre dreams.
Drugs that have the opposite effects would decrease the incidence of disturbing dreams. The dreamer in this study was taking a serotonin reuptake inhibitor, which served to increase the effects of serotonin. According to the biological model, with the onset of medication the dreamer should have experienced a decrease in nightmares, or, in Hall and Van de Castle's terms, lower aggression, negative emotions, and other unpleasant factors.
This was, in fact, the case. The emphasis on statistically significant differences without regard to effect sizes slowed progress in the study of dream content by creating unnecessary polarities and focusing energy on methodological arguments. The introduction of effect sizes into the study of dream content makes it possible to suggest that the controversy over home and laboratory collected dream reports never should have happened.
The emphasis in dream content studies henceforth should be on effect sizes and large samples. Then future dream researchers could focus on testing new ideas using dream reports collected either at home or in the sleep laboratory.
Ancient Philosophy View Full Essay. The Apology of Socrates Wheelright, Philip ed. Works Cited Martzloff, Jean-Claude. A History of Chinese Mathematics. Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth.
Western Advisers in China, Penguin Press, Swetz, Frank. Pennsylvania State University Press, By Andrew Wiles, Stacey Keach. Works Cited Baird, F. From Plato to Derrida. Upper Saddle River, NJ: Skepticism about the External World. The Cambridge Companion to Thomas Reid.
Understanding Philosophy Through Jokes. Quadratic Equations View Full Essay. How maps developed at first View Full Essay. Today I Found It. Sources Criminal Law Lawyer Source. Moving and touching stowed or checked luggage: References Hill, Constance Valis. Nalett, Jacqueline "Jazz Dance History. His father, Mnesarchus, was a merchant, and he brought Pythagoras along with him on many of his journeys around the Mediterranean.
These travels exposed Pythagoras to extensive knowledge and new ideas from countless different places. During the time of Pythagoras, Samos was one of the most powerful Greek islands, and its people experienced a time of great prosperity and achievement. Trade with other Greek cities as well as Egypt contributed to economic growth and inspired interest in math and astronomy.
As a boy, Pythagoras was taught by many wise thinkers, and learned about numerous subjects, such as math and music. Pythagoras also studied under the Magi in the city of Babylon, where he was educated about magic, math, and astronomy. Through his thorough education, Pythagoras developed his own set of ideas, as well as making new discoveries. Later in his life, Pythagoras traveled to Crotona, a city in the South of Italy colonized by Greece, where he began to share his teachings with other people.
The background and education of Pythagoras allowed him to become the wise philosopher he was, and contributed to his lasting impact on the world. Pythagoras came up with many different ideas that had a vast effect on the people of the ancient world. When he settled in Crotona, Pythagoras established a secret society of men and women who agreed with his ideas. Pythagoras promoted the idea of metempsychosis, or the concept that the soul continues to be reborn in different bodies until it is able to achieve release from the cycle.
After Pythagoras died, his followers regained control of Crotona, and they wrote down the teachings of Pythagoras. These teachings influenced the ideas of philosophers such as Plato and Aristoxenus for years to come. The philosophy of Pythagoras most definitely influenced the people of the ancient world.
In addition to his philosophical and religious teachings, Pythagoras made many discoveries that changed the way people thought about math and science. The main belief of Pythagoras was that numbers control everything and that math accounts for all areas of life. Pythagoras was the first person to realize that numbers could stand on their own, rather than representing other things. Before this discovery, numbers were only associated with, for example, the amount of land someone had or how many horses someone was selling.
This breakthrough was revolutionary in the world of math and science; mathematics could be expanded further than ever before, and applied in ways that were previously impossible. This theorem is still used and taught today. Pythagoras also further related numbers to music. He realized that music could be written in mathematical terms, and established that the difference in length between two strings on an instrument determined the difference in sound the two strings gave off.
Pythagoras also applied mathematics to astronomy. This concept, though expanded upon over the years, is still accepted today. Pythagoras also believed that each planet circling the sun made its own sound determined by its distance from the sun, linking back to music and math.
Evidently, Pythagoras was a great philosopher whose ideas positively impacted society. His ideas, developed from his many travels and extensive education, influenced the people of the ancient world and many philosophers that came after him. The place in which the graph of a line crosses the x axis is known as the root of the equation. It is not always possible to find the solution of an equation by algebraic or analytical methods such as factorising.
In maths equations can be solved using various methods. A very common and efficient method in solving equations is algebraically. But not all equations can be solved algebraically; these equations must be solved using numeric methods. I will study three specific numeric methods on different equations. I will be testing the numeric I was firstly given the task of finding the equation of the quadratic graph which passes through the points 5,0 , 3,0 , 0, To solve this I began by drawing a rough sketch of what I thought the graph would look like with these points, as below:
Pythagoras's Theory of Harmony of the Spheres - Pythagoras is considered, not only as one of the greatest mathematicians in history, but also for his works concerning music, philosophy, astrology, and many others for all the discoveries made by him.
Essay: Pythagoras. Pythagoras was a very significant person in the history of the world. He made many contributions to the fields of math, music, and astronomy. Pythagoras’s teachings and beliefs that were once taught by him in his own school in ancient Greece, are still taught today.
Pythagoras Essay Pythagoras theorem Abstract Pythagoras theorem gives a relationship of the three sides of right angled triangles. It is extended to draw relationship among the interior angles of such right-angles triangles to form what is known as trigonometrical ratios. Pythagoras Essay Pythagoras was a Greek thinker and contributor to preSocratic philosophy who was born on the isle of Samos. He fled tyranny to establish a school in southern Italy at Croton, which contained both scientific and mystical streams of thought.
Pythagoras Essay Pythagoras of Samos Pythagoras of Samos was born sometime around BC and since then has been said to be a strange and mysterious man. There are no writings of Pythagoras himself but his teachings and beliefs continue to influence modern philosophers and scientists. The Pythagorean theorem is one of the earliest theorems. This famous theorem is named after the Greek mathematician and Philosopher, Pythagoras.