The First World War Satire Essay Example for Free

The First World War Satire Essay How does Blackadder Goes Forth satirize the First World War and how does it fit into the situation comedy genre as a whole? A situation comedy, or a sit-com, is a comedy series projected from radio or television. The programme itself is based upon how characters react to unusual or comic situations. Situation comedies follow specific characters that encounter situations and then they try and deal with them. In each episode of a situation comedy, the story follows the same characters. Most situation comedies are set in a specific place that forms the set for every episode. A flat is commonly used in situation comedies for the set. Popular examples of flat share situation comedies are Only Fools and Horses and Friends. These two sit-coms are extremely popular, and both are set in a flat. Situation comedies used to form gaps in between more important shows. This was soon changed as the demand for sit-coms massively grew. They are now one of the most dominant television genres around. Blackadder is a situation comedy. It is a most unusual sit-com as in each series the scene is based on a different timeline. Blackadder has been through Elizabethan times, many other timelines and important historical times, and then ends up with the final series in World War One. Most other sit-coms dont do this instead each of their different series is set on the same timeline and in the same place. This is one of the points that make Blackadder different, as in each series the eager watchers dont know what to expect. Blackadder goes forth is also different from the usual sit-com as it is the same situation every episode. The majority of sit-coms dont do this, instead they are based in the same place, but with a different humorous situation with which the characters have to deal with. In Blackadder Goes Forth the situation is exactly the same just the characters deal with it differently. The situation is that Blackadder himself is trying to escape and relieve himself of the hideous atrocities of the First World War. Of course like in any other sit-com, things go very wrong for him and comic experiences pop up along the way. Altogether Blackadder fits into the situation comedy genre in a sense, as it is a sit-com, but is totally different from the majority of other sit-coms. Blackadder has a different story every episode, involves the same characters in every episode, and takes place in the same place in every episode. The differences of Blackadder to the mainstream of sit-coms are shown obviously. This is shown in many ways; one is that Blackadder is set in different historical time in each different series. This attracts viewers to watch Blackadder, because they want to see something new rather than the usual flat share show with people shouting bawdy jokes. This is why the producers of Blackadder have made the show different from the usual sit-com. Another reason why Blackadder is different from most sit-coms is that the situation is the same in every episode of Blackadder. Nearly every other sit-com has different situations and different ways in which the characters tackle these situations. Blackadder Goes Forth doesnt. The situation is of Blackadder trying to escape the war in any way he can. He tries lots of different approaches to deal with his problem, but every episode he fails. This becomes very amusing as no matter how hard he tries; he just cant get out of fighting in the war. Another very important feature in Blackadder that is dissimilar to other sit-coms is the way that even though the scene is set on a historical time scale, Blackadder still has 20th Century views. All the other characters in the whole programme have views of life that relate to the time scale that they are set in, while Blackadder has views of life that we would. This is what makes Blackadder so hilarious to us, as we can relate to precisely what Blackadder is saying and thinking, while all the other characters in the play are trapped in that time zone with historical thoughts, Blackadder makes fun of all the stupid things that happened within that time zone and has the same views and points to express as we do. The one other reason why Blackadder Goes Forth doesnt fit well into the genre of situation comedies is that Blackadder uses satirical comments and elements throughout the programmes. This makes the programme extremely funny, but also makes a point in which we can understand and learn from. Satire is using humour or exaggeration to show what it is bad about a person or thing. Blackadder uses this strongly in all of its episodes in all of its series. Blackadder: Well George, I strongly suspect your long wait for certain death is nearly at an end This is portraying the scene that everyone who wanted action in the war is going to be sent to his or her deaths. The reason why the produces of Blackadder decided to make different historical time scales for their series was possibly so they could use satire to make a point about those different time lines. With Blackadder using satire in this way it gives viewers the humour and hilarity that we get and love from all sit-coms, but also spreading a point across the country about how bad those situations were and how badly our ancestors handled them. So the reason why Blackadder is a funny character is because he is the only sane man and fools surround him. This makes us learn from mistakes that have happened in the past but also provides us with the amusement that we want when we watch a sit-com. Satirical elements are present in Blackadder, even in the title sequence at the start of each episode. There are many satirical elements in the title sequence; the first one being the two rows of five men marching after a sergeant majors command. The first row of soldiers is bandsmen wearing the traditional red colours of the English army. The second row of soldiers is armed forces, wearing the up-to-date camouflage green. This is satirizing the tactics of the British army. The way in which Blackadder does this is by having the bandsmen in red marching in front of the armed forces, it symbolizes that the bandsmen are more important. It shows that playing instruments and wearing smart colours and clothes into battle is more important then staying undetected with camouflage and looking scruffy. This satirizes British tactics and approach to war. It also shows that the British army is out of date, as fighting in bright colours was a thing of the past, showing that the commanders were just old forgotten war heroes who needed to be slapped up-to-date if they wanted to keep their men alive. It also satirizes the fact that blood is to come for those soldiers are behind. The blood red of the bandsmen shirts marching in front of the armed forces means that blood is to come for them and pour from their bullet stricken bodies. There is a character in Blackadder Goes Forth, named baldrick. In the title sequence he is out of place in the band and is franticly running around to find his place. Baldrick is a private in the army. This satirizes the privates as being stupid and out of place fighting in such a war. Also that Baldrick is in the band, and not in the armed forces row like he should be satirizes that he is out of place in the army, and will do more good playing a triangle in a parade. As baldrick is out of place, there is still no place for him in the ranks of men as both are of equal numbers and there is no more room for him. This emphases the point even more that the dim privates are out of place in the war, and they shouldnt be put there, as they dont understand it. How can a man be expected to shoot if he cant even find a place in a band? This is the satirizing point that Blackadder is making when the character baldrick is out of position. Also in the title sequence General Melchett and Captain Darling are standing atop a podium watching the soldiers march. General Melchett is wearing cavalry clothes. This satirizes the generals in the war by showing that they are out of touch and out of date with the tactics of war. They still think that cavalry are the best option to winning a battle, but now that machine guns have been invented cavalry are useless. Yet the generals do not know this, and assume that old tactics are good, but they arent. Captain Darling is cowering behind the General. This satirizes the Captains in the war. This shows that they were cowards and used the Generals as protection to stop them having to fight. Further on in the title sequence Lieutenant George is smiling in a childish way as he marches forwards. This is satirizing the pompous Lieutenants. Showing that they believe that war is just a game, and they should enjoy every minute off it. This is of course the wrong attitude to take to war, as you killed be obliterated any second. Aside from the title sequence, the whole programme contains satirical elements throughout its course, one of these being the living conditions of the soldiers shown in the programme. Blackadder opens up the programme of the last ever episode of Blackadder goes forth with: Hullo, Somme Public Baths. No running, shouting or piddling in the shallow end. Aside from this being droll, it also makes a great satirical point on how the living conditions of the soldiers actually were. The soldiers were caked in mud up to their elbows and sopping wet with the continuous moral beating rain. It satirizes how bad the living conditions really were by basically saying it was wet, and the rain was the least of the soldiers problems at that time. Private baldrick explains that the coffee that all the soldiers have been drinking for months is actually hot mud. He also describes what each of the elements of the coffee is. He states that the milk is saliva, the sugar is dandruff and although he doesnt state what the chocolate sprinklings are, he gives us a very good idea of what they could be! All this satirizes the living conditions of the poor soldiers that had to live in here day in and day out. They were soaked in rain, encrusted in mud, and drinking hot mire with all manner of things inside, but worst of all being pounded by shells all day long. Blackadder Goes Forth also satirizes everyones attitudes to war. Starting with the Generals, they had the worst attitude towards war. As the Generals were not in the trenches and not experiencing the horrors of war, they had no idea what it was like. The generals still thought war was what it used to be, fighting against unarmed enemies that cant win the fight. As general Melchett explains, That pigmy woman with the sharpened mango could have seriously Apart from this being comical, it has a real satirizing point to it. The old wars in which the English used to fight were against aborigines with no weapons other than maybe a spear. The English couldnt really loose a battle against such little an opposition, and from that day they thought they could win any battle that faced them, as they were full of themselves over their glorious victories. This is the attitude that the generals still possessed when commanding in World War One, especially in the Somme area that Blackadder goes forth is set. It satirizes the generals lack of understanding of modern warfare, and shows how they believe they will always win. In the episode Goodbyeee, Field Marshall Haig is playing with toy soldiers. This is satirizing the generals perspective of warfare, and apart from it being hilarious it proves just what the generals were like. They thought that war was a game and that it didnt matter who won or lost. This is shown as Haig knocks over a handful of the plastic soldiers on his model battlefield. Blackadder himself satirizes the advance and progress the army has made while at war, Weve advanced as far as an asthmatic ant with heavy shopping. Apart from this being droll, it satirizes how far the army progresses with such stupid and out of date tactics and childish generals. This relates highly to World War One as the army progressed about a few inches a year, as the generals just didnt know what to do. Another main thing that is satirized is the ranks of different troops. With the generals, they thought that war was just a game. This is shown and satirized in Blackadder by the way the general plays with toy soldiers. He used this as his tactics, moving individual toys and then knocking them over in one fell swoop. This actually shows that he expected his men to die, but sent them in regardless of the consequences, as he was bored of sitting in one place for a long period of time. Being incredibly child-like satirizes the lieutenants. This is shown in the character George. He is satirizing the pompous upper-class lieutenant. He always has a silly grin on his face and relates everything that happens in the war to a well know game of some sort. He even states that he played tiddly winks when signing up to volunteer for the war. He makes such remarks as by saying, we ducked and we dived. This is satirizing views of many soldiers in the war, as they just didnt have a clue about what it was really like. They just thought it was like participating in a sport match, and whatever the outcome, no one would get hurt, but how wrong they were. The other rank that is displayed and satirized in Blackadder is the private. Baldrick plays this role, and acts as the dim private, which is exactly what he is. He is always one step behind everyone else, in the mental way, and in the literal way. As in the title sequence he is behind everyone, and in the speeches he is behind everyone. He is satirizing the low-class dim private. At the end of the last episode Goodbyeee, just before they are about to go over the top, baldrick is more concerned about getting a splinter while climbing the ladder then getting mowed down in a hail of lead by a machine gun. This is because he doesnt understand what is going on. This is satirizing the fact that the dim people shouldnt be there, because if they dont understand what they are doing, how can they possibly fight? Captain Blackadder plays the other rank. He is the only commonsensical man in the whole warfare situation. This is how Blackadder is made funny, as he satirizes everything around him and makes fun of everything. He shares our views of the war, and tries in vain to get out of fighting just as we would, but to no amend, as the generals cant understand why he would possibly not want to go out and fight. This satirizes the generals lack of understanding. Fools surround Blackadder, this satirizes that everyone fighting was a fool, and with such stupid people everywhere, how can they win the war. It also satirizes that no one understands the war, no matter how clever or how high rank. And that everyone is as stupid as the private as they have no idea to fight a war more than he does. The equipment is the last thing that is satirized. This is done by the sticks that the higher ranking officers hold. These sticks do nothing at all. I wouldnt want to face a machine gun without one of these George explains to Blackadder. This is satirizing the fact that some of the equipment had no purpose, and some of the people didnt have a clue what a machine gun could actually do to you.

Essay on Shakespeares Sources for A Midsummer Nights Dream

Shakespeare's Sources for A Midsummer Night's Dream  Ã‚  Ã‚  Ã‚   A Midsummer Night's Dream is one of Shakespeare's most-performed plays: a delightful comedy, but full of enough potential tragedy to avoid becoming saccharine. Much of that tragic possibility comes from Shakespeare's sources, as he directly acknowledges in Act V. The entertainments Philostrate proposes, all stories taken from Ovid's Metamorphoses, show the unhappy endings all too likely to spring from tales like that of the four lovers of Shakespeare's play, or the strife-torn fairy rulers. "The battle with the Centaurs, to be sung / By an Athenian eunuch with the harp" (V.i.44-5) is the first of Philostrate's suggestions, and the most blatant. Centaurs are almost an epitome of the dangerous fairy-world that underlies so much of Shakespeare's play: half-man, half-beast, they recall Bottom's similar, albeit more humorous, condition. Lust and jealousy cause the undoing of the marriage feast, for the Centaurs' theft of women provokes a battle. Thanks to the fairy intervention, all in Shakespeare's play are happy with their spouses: but how might the wedding have been marred if Demetrius and Lysander both still loved Hermia? "These are the forgeries of jealousy" (II.i.81) cries Titania to Oberon, and their contention, likewise a result of lust and jealousy and unbridled nature, luckily enters the play only peripherally. Theseus' law, and fairy medicine, overrules the lusty, animal side of love and prevents such violence from marring, indeed unmaking, the comedy. "The riot of the tipsy Bacchanals, / Tearing the Thracian singer [Orpheus] in their rage" (V.i.48-9) is an alternate selection, but one just as significant. "The mad Ciconian women" (p.259) cry "There is ... ... scene. The meta-drama overcomes the actual play, and what was tragic becomes "tragical mirth," what was a dire warning to heed society's laws or fear the consequences is a gross entertainment and slapstick. Theseus' laws have overcome the bloody, passionate side of love: the man himself appears to have ceased his earlier, youthful amours to settle down with a wife, Hippolyta, vigorous enough to match his own martial nature. Indeed, he discounts the entertainments as those which he has already heard or told -- they are old news to him, settled affairs, and he needs hear of them no more. The only reason "Pyramus and Thisbe" receives a hearing is its odd synopsis -- and equally odd presentation! Shakespeare shows the alternate endings his play could all too easily have taken, to make us relish all the more the happy solution he and the characters have found.   

Policy Framework Development

Introduction In this essay, I will discuss the welfare state since World War II and how it has impacted society in England and Wales. In addition, I will discuss the importance of social policy, how it was developed and the four most frequently used approaches. The ideas behind these approaches will be explained and some examples of such policies in different fields will be provided. Overall, evidence will be provided on how social policy became educational discipline in its own right. The origins of the National Health Service One of the most drastic social policies put into action in England and Wales has been the implementation of free medical treatment for all, through the National Health Service. According to Alcock (2008), illness was very common and health care expensive before the National Health Service (NHS) came into existence in 1948. Poor housing, overcrowding, poor sanitation, malnutrition and lack of education were common, enabling the spread of infectious diseases such as tuberculosis. Life expectancy was considerably lower, at a mere 60 years. During the 19th century, health care was provided through the workhouse, or municipal and voluntary hospitals. The rich were often treated in their own homes or in a private practice. A lady Almoner was responsible for carrying out a means test, which determined who got medical treatment, she was also responsible for approaching charities for funding. (Alcock, 2008) The ideology behind the development of the NHS was to put an end to ignorance, squalor , disease and poverty, by ensuring health care was available to all. This included free treatments for all, a family benefit scheme and full employment. Although some saw it as a politically risky move, Prime Minister Churchill gave his full backing for the NHS in 1943, thus starting the reform towards free health care. As Bochel reports: â€Å"During 1944, White Paper proposing a national health service, and the election of a Labour Government in 1945 made the establishment of a NHS almost certain. The necessary legislation was passed in the 1946 National Health Service Act.† (Bochel, 2009, p. 332). Finally, the NHS became a reality on July 5th 1948. It was an enormous achievement but due to the significant investment in time, money and resources, it was not met without opposition- this was a time when there were food and fuel shortages, as well as a dollar economic crisis. However, the general public wanted the new service to succeed, and as such Britain became the first country in Western Europe to offer free medical service, funded through the general taxation system. According to Bevan: â€Å"It was based on three core principles which include; it meets the needs of everyone, to be free at the point of delivery and it to be based on clinical needs, not ability to pay.† (National Health Service History, 2012). These core principles have remained the same since the creation of the NHS (Bochel, 2009,p. 332). However, free health care as provided by the NHS proved to be very expensive, with the drug bill increasing from ?13 million to ?41 million within the first two years of its creation. Additionally, as medicine progressed as a science, new technologies and methods increased the cost of the NHS from ?200 million to ?300 million. The provision of free health care for all led to excess demand, adding pressure to the already limited medical resources. The Government was reluctant to cover the excess cost, as it needed to invest in other sectors, such as education. As a result, charges for certain services, such as spectacles and dentures, as well as for prescriptions were implemented (Alcock2008). Neo-liberal ideology and the NHS In 1979, when the NHS had been in place for several decades, a Neo Liberal Government was elected, with little sympathy for the state provision of welfare and the high level of expenditure associated with it (Bochel, 2009, p. 332). Neo-liberal ideology supports the reorganization of the financial and organizational aspects of healthcare services worldwide, based on the argument that the then-existing health systems had failed. According to the recommendation report in 1983, four major problems of health systems globally were: i) misallocation of resources; ii) inequity of accessing care; iii) inefficiency; and iv) exploding costs. It was claimed that government hospitals and clinics were often inefficient, suffering from highly centralised decision-making, wide fluctuations in allocations, and poor motivation of workers (Alcock, 2008). Quality of care was also low, patient waiting times were long and medical consultations were short, misdiagnosis and inappropriate treatment were comm on. Also, the public sector had suffered from serious shortages of medical drugs and equipment, and the purchasing of brand-name pharmaceuticals instead of generic drugs was one of the main reasons for wasting the money spent on health (Navarro, 2007). Private providers were more technically efficient and offer a service that was perceived to be of higher quality. Neo-liberal policies Examples of policies implemented by the Neo-Liberal Government were those based on cost-effectiveness. Cost-effectiveness was presented as the main tool for choosing among possible health interventions for specific health problems. Disability-adjusted life years (DALYs) were used to measure the burden of disease and thus allowing comparisons between specific health problems. Greater reliance on the private sector to deliver clinical services was encouraged, with the expectation that it would raise efficiency. It was suggested that Governments should privatise the healthcare services, by selling the public goods and services, buying the services from the private sector, and supporting the private sector with subsidies. In order to increase efficiency, unnecessary legal and administrative barriers faced by private doctors and pharmacies would need to be removed. Neoliberal policies in healthcare were heavily criticised as they reportedly misdiagnosed the problems and its treatment, lea ding to a situation worse than it was before the policies were implemented. Shrinking from welfare state to minimum liberal state, retreating from most of the public services and letting the area to irrationality of market dynamics is making pharmaceutical, medical technology, insurance, and law companies the lead actors. It has been claimed that a system providing services according ability-to-pay rather than healthcare need, ensures decreased availability and accessibility to services† (Danis et al., 2008; Janes et al., 2006; Unger et al, 2008). New Labour and the NHS In 1997, the New Labour Government was elected, with a main focus to make a significant improvement on peoples’ health. This was expected to be done by rebuilding the health services within the NHS through â€Å"decentralizing of power and decision-making to local health trusts†. Decentralising was important in order to achieve increased responsiveness to local health needs by widening patient choice, and promoting organizational efficiency. The underlying premise was that decentralization would shorten the bureaucratic hierarchical structure and allow flexibility for local trust managers and health professionals- thus improving organizational performance from the ‘bottom-up’ (Crinson, 2009 :p 139). In 1997 the Government put forward its plans in the White Paper: â€Å"The New NHS: Modern, Dependable† (Blakemore 2003:p 172). The objective was to reduce bureaucratic control from the centre and restore autonomy to health professionals within the NHS. A t the same time, the Government was determined to limit public expenditure by looking at what was already put in place by the previous government. One of the new Labour objectives was to reduce the number of people on the treatment waiting list by offering patients greater choice of provider at the point of inpatient referral. This was put in place from January 2006 onwards, where patients have been offered a choice of at least four hospitals when referred for treatment by their general practitioner. In addition, a new inpatient booking system was put in place, where patients themselves could book their place and time of treatment (Adam, 2006). In 1998, health inequality targets were included in the public service agreements with local government and cross-department machinery was created to follow up a ‘Programme of Actions’, which had the general aim to reduce inequality in terms of life expectancy at birth, and to reduce the infant mortality rate by 10 per cent by 20 10 (Glennerster, 2007 : p 253). Examples of health care policies implemented by New Labour are: Maximum waiting times for in-patient treatment: six months by 2005 and three months by 2008; Patients able to see a primary care practitioner within twenty-four hours and a GP within forty- eight hours; Maximum waiting time of four-hours in emergency rooms; Plans to improve cancer treatment and health inequalities. In addition, in order to improve efficiency, two bodies were set up to give advice and push for more consistent and effective clinical standards in determining the cost of new drugs and procedures. This was the National Institute for Clinical Excellence (NICE) (Glennerster,2007 : p 250). However, as argued by Peckham and colleagues (year?), the decentralization of the NHS had mixed results. They note that the process of decentralization was not clear and that there were contradictions, reflecting a simultaneous process of centralization and decentralization, in which local perf ormance indicators were centrally-set. If achieved, this resulted in increased financial and managerial autonomy. However, there was some supportive evidence that decentralization had improved patients’ health outcome, as well as improved efficiency in coordination and communication processes (Crinson, 2009 : p 140). The Government at the time met its target for treatment waiting lists by 2000- the number of people on the waiting list had fallen by 150,000. However, one main criticism came from the doctors, nurses and other health professionals where they were the ones dealing with prioritizing patients based on medical need, whilst having to explain to other anxious and angry patients why their treatment is delayed (Crinson, 2009). Coalition Government and the NHS In 2010, the newly established Coalition Government published the NHS White Paper ‘Equity and Excellence: Liberating the NHS policy’, prepared by the Department of Health. This policy included important changes compared to those proposed by the previous Government, and reflected the aims of the Coalition’s five year plan. Some of the proposed changes include: i) responsibility for commissioning of NHS services shifted to GPs, as the Primary Care Trusts and Strategic Health Authorities were dissolved, and ii) Foundation Trust status granted to all hospitals, ensuring increased autonomy and decision-making power. These reforms were part of the Coalition’s broader goal to give more power to local communities and empower GPs. By way of estimation, it is expected that this cost to about 45% for the NHS management. Strengthening of the NHS Foundation Trusts in order for these Trusts to provide financial regulation for all NHS services was another objective of the reform. An independent NHS board was set up, with the aim to lead and oversee specialised care and GP commissioning respectively. The objectives behind the Coalition Government’s plans was to increase health spending in real terms for each year of Parliament, with full awareness that this would impact the spending in other areas. The Coalition Government still maintained Beverage idea that all health care should be free and available to everybody at the point of delivery, instead of based on the ability to pay. It was expected that this approach would improve standards, support professional responsibility, deliver better value for money and as such create a healthier nation. Although the Prime Minister rectified it in his speech, the Government failed to provide a clear account of the shortcomings of the NHS and its challenges. The preparation of the White Paper, which was to pass the coalition committee’s examination, saw more compromises. The elimination of PCTs was not foretold but the conservatives would make PCTs remain as the statutory commissioning authority responsible for public health despite their commitment to devolving real budgets to GPs. It was rumoured that the Liberal Democrats policy of elected representatives to PCTs appear weak. The compromise was to give greater responsibility for public health to local authorities and eliminate PCTs. This resulted in the formation of the GP commissioning consortia and the Health and Wellbeing Boards. Despite concerns raised by stakeholders, the proposals saw just a few changes. Maybe we can call it a missed chance in retrospect. Conclusion In conclusion, it can be argued that without the NHS coming to force when it did at such a dire time after the Second World War, the already high mortality rates would have continued to rise. The NHS was vital in changing peoples’ lives in England and Wales and around the world. The system was designed meet everyone needs, regardless of financial abilities and without discrimination. Many changes have taken place since the birth of the NHS in 1948. Four different Governments adapted the NHS with their policies and legislation. However, throughout its evolution, the NHS still provides healthcare free of charge, as was intended from its conception. References Alcock, (2008). Social Policy in Britain. 3rd ed.Basingstoke: Palgrace Macmillan Alexion Pharma (2010). Politics and Policy [Online] www. [email protected] Available From: http://www.pnh-alliance.org.uk/politics-and-policy/the-department-of-health-publishes-equity-and-excellence-liberating-the-nhs. [Accessed on: 06 Nov. 12] Blakemore, K (2003). Social Policy an introduction. 2nd ed. United Kingdom: Open University Press. Blakemore, K, Griggs, E. (2003). Social Policy an introduction. 3nd ed.England: Open University Press. Bochel, H., Bochel, C., Page, R., Sykes, R. (2009). Social Policy Themes, Issues and Debates. 2nd ed. England: Pearson Education Limited. Crinson, I. (2009) Health Policy a critical perspective. London: Sage Publication Ltd. Glennerster, H. (2007). British Social Policy. 3rd ed. Oxford: Blackwell Publishing. Danis, M.Z., Karatas, K., Sahin, M.C. (2008). Reflections of neoliberal policies on healthcare field and social work practices. World Applied Sciences Journal, 5(2), 224-235. Ezeonu, I. (2008). Crimes of globalization: health care, HIV and the poverty of neoliberalism in Sub-Saharan Africa. International Journal of Social Inquiry, 1(2), 113-134. Hospital Stories from Hell: National Health Videos (1998) [DVD] London: Channel 4. Recorded off –air 19/03/1998 Macara, S. ( 1998). Nursing Studies. BBC News: True to its principles [Online]. Available from: NHS Choices. Moonie N. (2003). Health and Social Care. Series ed. Oxford: Heine Educational Publisher. Navarro, V. (2007). Neoliberalism as a class ideology; or, the political causes of the growth of inequalities. Int J Health Serv, 37(1), 47-62. NHS. ( 2012). Nursing Studies. About the NHS: NHS core principles [Online]. Available from: NHS Choices. Oliver, Adam. â€Å"Further progress towards reducing waiting times†. Health Policy Monitor, April 2006. Available at http://www.hpm.org/survey/uk/a7/1 . [Accessed on: 14 Nov. 12] Pennies from Bevan: National Health Videos (1998) [DVD] London: Chanel 4. Recorded off –air 14/06/1998 Rivett, G (2012). Nursing Studies, National Health Service History. [Online]. Available from: http://www. NHS history.net [Accessed 06 March 2012). Socialist Health (2010). Coalition Health Policy 2010 [Online] http://www.sochealth.co.uk. Available From: http://www.sochealth.co.uk/campaigns/health-and-social-care-bill-2012/coalition-health-policy-2010/. [Accessed on: 06 Nov.12] Viveash, B, Senior, M. (1998). Health and Illness. London: Macmillan Press.

Probability of Randomly Choosing a Prime Number

Number theory is a branch of mathematics  that concerns itself with the set of integers. We restrict ourselves somewhat by doing this as we do not directly study other numbers, such as irrationals. However, other types of real numbers are used. In addition to this, the subject of probability has many connections and intersections with number theory. One of these connections has to do with the distribution of prime numbers. More specifically we may ask, what is the probability that a randomly chosen integer from 1 to x is a prime number? Assumptions and Definitions As with any mathematics problem, it is important to understand not only what assumptions are being made, but also the definitions of all of the key terms in the problem. For this problem we are considering the positive integers, meaning the whole numbers 1, 2, 3, . . . up to some number x. We are randomly choosing one of these numbers, meaning that all x of them are equally likely to be chosen. We are trying to determine the probability that a prime number is chosen. Thus we need to understand the definition of a prime number. A prime number is a positive integer that has exactly two factors. This means that the only divisors of prime numbers are one and the number itself. So 2,3 and 5 are primes, but 4, 8 and 12 are not prime. We note that because there must be two factors in a prime number, the number 1 is not prime. Solution  for Low Numbers The solution to this problem is straightforward for low numbers x. All that we need to do is simply count the numbers of primes that are less than or equal to x. We divide the number of primes less than or equal to x by the number x. For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime, so the probability that a prime is selected is 4/10 40%. The probability that a prime is selected from 1 to 50 can be found in a similar way. The primes that are less than 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. There are 15 primes less than or equal to 50. Thus the probability that a prime is selected at random is 15/50 30%. This process can be carried out by simply counting primes as long as we have a list of primes. For example, there are 25 primes less than or equal to 100. (Thus the probability that a randomly chosen number from 1 to 100 is prime is 25/100 25%.) However, if we do not have a list of primes, it could be computationally daunting to determine the set of prime numbers that are less than or equal to a given number x. The Prime Number Theorem If you do not have a count of the number of primes that are less than or equal to x, then there is an alternate way to solve this problem. The solution involves a mathematical result known as the prime number theorem. This is a statement about the overall distribution of the primes and can be used to approximate the probability that we are trying to determine. The prime number theorem states that there are approximately x / ln(x) prime numbers that are less than or equal to x. Here ln(x) denotes the natural logarithm of x, or in other words the logarithm with a base of the number e. As the value of x increases the approximation improves, in the sense that we see a decrease in the relative error between the number of primes less than x and the expression x / ln(x). Application of the Prime Number Theorem We can use the result of the prime number theorem to solve the problem we are trying to address. We know by the prime number theorem that there are approximately x / ln(x) prime numbers that are less than or equal to x. Furthermore, there are a total of x positive integers less than or equal to x. Therefore the probability that a randomly selected number in this range is prime is (x / ln(x) ) /x 1 / ln(x). Example We can now use this result to approximate the probability of randomly selecting a prime number out of the first billion integers. We calculate the natural logarithm of a billion and see that ln(1,000,000,000) is approximately 20.7 and 1/ln(1,000,000,000) is approximately 0.0483. Thus we have about a 4.83% probability of randomly choosing a prime number out of the first billion integers.