John Wallis Was Born On November 23, 1616 In Ashford, Kent, Essays

John Wallis was born on November 23, 1616 in Ashford, Kent, England.When Wallis moved from his school in Ashford to Tenterden, he showed his potential for the first time as a scholar. In 1630 he went to Felted where he became proficient in Latin, Greek, and Hebrew. He later went to Emanual College Cambridge and became first interested in mathematics. Because nobody at Cambridge at this time could direct his mathematical studies, his main topic of study became divinity and was ordained in 1640. During the Civil War, Wallis was so skilled in cryptograghy that he decoded a Royalist message for the Parliamentarians. Because of this, it was suggested that he was appointed to the Savilian Chair of geometry at Oxford in 1649. The then holder of the chair, Peter Turner, was dismissed and Wallis held the chair for over 50 years until his death. In London there was a group that was interested in natural and experimental sceince that Wallis was a part of. The group became the Royal Society and Wallis is a founder member and one of its first Fellows. Wallis greatley contributed to the beginning of calculus and the most influentail English mathematician before Newton. He studied the works of Kepler, Cavalieri, Roberval, Torricelli, and Descartes. He then went to introduce ideas of the calculus going beyond that of these other authors. In Arithmetica infinitorum, around 1656, Wallis evaluated the integral of (1-x2)n from 0 to 1 for integral values of n, building off of Cavalieri's method of indivisibles. In an attempt to compute the integral of (1-x) from 0 to 1, he devised a method of interpolation. While using Kepler's concept of continuity he discovered methods to evaluate integrals that were later used by Newton in his work on the binomial theorem. Wallis also established the formula 3.14/2=(2.2.4.4.6.6.8.8.10...)/(1.3.3.5.5.7.7.9.9...) During 1656 Wallis described the curves that are obtained as cross sections by cutting a cone with a plane as properites of algebraic coordinated without the embranglings of the cone in his Tract on Conic Sections. He followed methods in the style of Descartes' analytical treatment. Wallis was an important early historian of mathematics and in his Treatise on Algebra he has a wealth of historical material. The most important feature of this work, appeared in 1685, is that it brought to mathematicians the work of Harriot in a clear exposition. Wallis accepts negative roots and complex roots in Treatise on Algebra. He shows that a-7a=6 has exactly three roots and that they are all real. He criticises Descartes' Rule of Signs stating correctly, that the rule which determines the number of positive and the number of negative roots by inspection is only valid if all the roots of the equation are real. Wallis introduced our symbol for infinity. Wallis also restored some ancient Greek texts such as Ptolemy's Harmonics, Aristarchus's On the magnitudes and distances of the sun and moon and Archimedes' Sand-reckoner. His non-mathematical works include many religious works, such as a book on etymology and grammar Grammatica linguae Anglicanae along with a logic book Institutio logicae. Wallis had a bitter dispute with Hobbes, who was a fine scholar and far from Wallis's class as a mathematician. In 1655 Hobbes claimed to have discovered a method to calculate the area of a circle by integration. Wallis's book with his methods was in press at the time and he refuted Hobbes's claims. Hobbes replied with a pamphlet Six lessons to the Professors of Mathematics at the Institute of Sir Henry Savile. Wallis then replied with the pamphlet Due Correction for Mr Hobbes, or School Discipline for not saying his Lessons Aright. Hobbes wrote the pamphlet The Mards of the Absurd Geometry, Rural Language etc. of Doctor Wallis to Wallis. The dispute continued for over 20 years, becoming extended to include Boyle, and ending only with Hobbe's death. John Wallis later died in Oxford, England on October 28, 1703.

Exceptional Butterfly Essays - Lepidoptera, Animal Flight

Exceptional Butterfly Essays - Lepidoptera, Animal Flight Exceptional Butterfly April McNabb Townsend September 19, 2000 An Exceptional Butterfly The grass was covered with delicate, colorful flowers and the meadows were never-ending. Each natural object was carefully placed as if Mother Nature had a specific place in mind. The warming sun shined brightly on the beautiful green grass. The hills, with their perfectly rounded tops were very distant but still visible to the naked eye. The flowers of exotic colors, insects chirping to many different tunes, and the smell of fresh rain in the springtime filled the air. Observing the insects was enlightening and enjoyable, especially the butterflies. In the meadow, many grasshoppers chirped piercingly, but the insect that stood out the most was a butterfly. She was shades of canary yellow, lavender, orange, and green. Seeing an insect quite like this marvelous one was rare. The colors were exquisite, brightly distinctive yet soothing to gaze upon. Her shape was elegant; it was Mother Natures hand crafted work. The wings were defined just perfectly to let the tiny butterfly flutter about, enjoying natures indefinite beauty. Her long, pointed antennas seemed to move about continuously in a circular pattern, as if the two were trying to contact another creature. Her body, elongated and a dismal shade of black, was ribbed and rigid, protecting itself from sudden attackers. Her wings were soft, almost like a delicate, sensual feather. The butterfly left the flower to go explore the rest of natures home. She ascended at a high pace, wings flapping together like a heartbeat amplified one hundred times. She flew about, gliding to the left and then to the right. Her pattern was offbeat and when the wind blew it threw her even more in different directions. Trying to find another favorable place to rest, she hurried to find a flower before the wind blew her down again. Moments had passed and the butterfly found a soft spot of grass instead of a tiny flower. Now the job was done. She had successfully beat the wind and found a resting spot; the antennas twirled and the wings flapped. A curious butterfly catcher noticed the extravagant colors on the butterfly and tiptoed toward it. Net in hand, the catcher swooped to capture the delicate creature but missed. The insect was now in flight once again, scurrying to escape the human. She flew a great distance, treading against the wind to anywhere but near the catcher. She found a large daisy to cling her tiny body upon. She rested there for a long while, and one could swear that the two became one. The butterfly catcher was so astounded by the colorful, exotic creature that he tried once more to catch it. This time, he crept a little more quietly and swooshed his net right upon the little insect. The butterfly scrambled to the top of the holey net, frantically trying to find a passageway out. There was no escape. The butterfly was stuck The catcher placed the butterfly inside a huge cylinder shaped jar and observed it for a moment. The butterfly was desperate for the fresh springtime air she had minutes before sensed. After observing her for a while, the catcher surprisingly set the butterfly free, back into the meadows. The butterfly flew out of the jar quickly, not stopping to rest this time. She flew and she flew, until finally the catcher could not see her anymore. Her wings fluttered once more off into natures beauty.

How to Make Red Fire

How to Make Red Fire Road flares contain strontium nitrate in addition to other ingredients (potassium nitrate or potassium perchlorate, sawdust, charcoal, maybe some sulfur, magnesium, or aluminum). Strontium salts burn bright red. Obtaining Strontium Salts If you want to make red fire and arent in a position to order strontium salts its easy to harvest material from a road flare. Heres what you do: Take a pocket knife or steak knife and carefully cut open the cardboard tube of the flare.Pour the powder into a bowl or jar.You can sprinkle this powder sparingly onto a campfire or fireplace fire.You can store unused powder in a paper bag. Keep it dry, but away from heat and flame. How To Create the Fire Alternatively, you can ignite the powder directly. Put about a tablespoon of powder onto a fire-proof surface. Pour a little accelerant onto the base of your powder (try ​Heet, which is methanol). Light the accelerant. If you are using methanol, it will burn out and the powder will begin to burn. The flame will be very bright. You may wish to cut the mixture with powdered sugar or charcoal before lighting it.

Undertaking the Analysis of a House and a Unit Essay - 1

Undertaking the Analysis of a House and a Unit - Essay Example Clayton is located at the middle of Liverpool City Centre. The house consists of three bedrooms, two bathrooms, and has got a garage and is pet friendly as the unit discussed above. The furniture is not sold together with the house and the person interested should incur extra costs to buy furniture or to pay for those which he or she will get in the house. Anyone wishing to rent the house should as well pay the house deposit together with the rent for the month of entry into the house. The house is spacious and comfortable and is close to the Clayton Station as it takes less than five minutes to reach the station from the house (Jeanette, 2012). There are essentials which have to be considered when it comes to the inspection of a house or a unit that one may want to purchase or rent. Some of them are the details of how the house has been constructed or built, the coverings of the floor and the walls, and finally the convenience of the house setting. However, the process of inspection starts with inspecting the overall appearance of the house or the unit. This means that a person has to identify the location of the house, whether the location is strategic and safe. One has to look at the houses of similar or almost the same age so as to see the difference or the similarity that these houses have. This will help in determining the best kind of houses and that which is according to the standards that one wants to buy or rent from. The general inspection of the house will help the client come up with an idea of how they can be come up with ways of ensuring cleanliness and tidiness within and outside the house (Koulizos, 2012). After the inspection has been done on the nature of the hose and the unit, the client would look at the exterior front of that particular house. This is done in order to have a complete view of the house on each face of that house. This will help in

Philosophy Essay Example | Topics and Well Written Essays - 1000 words - 32

Philosophy - Essay Example As the children learn new concepts, their brain cells form synapses among themselves (Ghaye, 21). Gradually, these connections define the knowledge base of infants. As shown, learning can occur from a very early age regardless of the background or social status. Therefore, such children should also be actively taught by their guardians. Good manners should be among the first things that children get to learn. Such excellent forms of conduct can form cornerstone for the development of character and personality. Language is yet another aspect that can be learned and taught from infancy. Children learn to speak like their parents or guardians. In many instances, children under five years of age show admirable ability to speak the entire language system (Ghaye, 32-35). However, teaching and learning ought to extend beyond the basics of language and articulation. Elementary schools are the first step towards proper teaching and learning. They imbibe children with valuable speaking and writing skills. Each language has certain rules that govern its speakers. Language rules ensure uniformity and consistency. They also facilitate proper understanding and communication between regular speakers. The alphabet forms the fundamental part of language. Subsequent teaching and learning depends on the grasping of all language rules inclusive of the alphabet. Other subjects such as mathematics hinge on the foundation laid by learning and teaching of language. Other languages have modified forms of the alphabet to guide their speakers. For instance, Chinese-speaking persons rely on characters instead of an alphabet (Jadrich and Bruxvoort, 56-59). In addition, other languages focus on phonetic sounds rather than individual letters. Teaching and learning ought to be a gradual and continuous process. This implies that teachers have to be careful not to impart too much information. Learners too need to exercise restraint so as not to attempt to grasp much more than they

The Promise of Sociology Essays -- C. Wright Mills Sociological Imagin

According to C. Wright Mills, what occurs in any one individual's life is interrelated with society as a whole. The sociological imagination gives us the ability to understand the correlation of one's biography, history, and traditions along with the knowledge of the social and historical impact and/or influence society may have on that person or group of people. Mills' notion compels us to investigate into an individual's biography and lifestyles, and place their findings within the surrounding circumstances in which events occur in order to perceive the whole picture of the society in which the individual lives. Mills says to understand this "imagination" would be to see the connection between personal troubles and public issues. Personal troubles meaning, problems that are felt personally which are caused by occurrences or feelings in an individual's life; and public issues meaning, issues that affect a group or mass of people with their roots interwoven within an organization or institution and history of a society. A person can become homeless for many reasons: a family member throws them out of their home because they do not contribute financially, or they become incapable of caring for themselves due to mental illness, or they become addicted to drugs and lose their home trying to support their habit. These are a few examples of personal troubles which most would think are brought about by the individual alone and therefore can be solved by them. But, when using sociological imagination, one can see that homelessness is also a social problem. Unemployment rates are high and public assistances rates being low could leave a person unable to sufficiently contribute financially, therefore being forced to leave... ...ety in this period?." Whereas, taking into consideration the interaction between individuals and their societies, sociology sees where people and groups of people are products of whole societies in which they live. In studying Mills however briefly, I am beginning to see where my life and the lives of others are interrelated with biography, history, and traditions. We are all just a part of a whole, which is now beginning to make a great deal of sense to me. I am beginning to ask questions in order to understand clearly what shapes our lives. It seems to me Mills gave sociologists a format to open the doors to a better understanding of the whole picture. As Mills indicated, humans have the capacity to change the social structures around them; I believe seeking knowledge gives one the wisdom to change and make changes which in turn affects us all.

Discuss The Factors That Influence Our Judgement, Thinking And Decision-Making

?Discuss some the factors which influence our thinking, judgement and decision-making Our everyday lives are filled with many choices and decisions which will impact on our lives both in the short and long-term. Our perception of the impact of these decisions on our own lives and those around us will affect how much time and effort is given to arriving at these decisions.There are several factors which impact on thinking, judgement and decision-making and it is important to note that often these occur simultaneously rather than as individual areas but in order fully understand the entire process we must analyse the factors in each individual area. While it is neither practicable or possible to consider all the factors in every decision, knowledge of the factors, process and how they interact can be of critical importance.By understanding the factors, we can ascertain how we make decisions and by gaining knowledge on the entire process, we can ultimately arrive at better decisions by being conscious of our thought and application process. How we think and apply our thought process to the decisions often determine the paths we choose to take. There are two systems, or modes, which determine how we think (Kahneman, 2011). The first system is fast, automatic, emotional and frequent and the second system is slow, logical, infrequent and conscious.The title of the Kahneman’s book, Thinking, Fast and Slow, gives us an indication of the two systems. The first system, thinking fast, is associated with quick response taking into consideration the environment in which we are in which then allows us to respond immediately. This can be important especially in times of danger and the system relies heavily on general rules and guidelines, known as heuristics. These heuristics are primarily geared towards helping us in the moment and protecting us from immediate danger and are very useful in this regard.However, the heuristics are designed to work in the environment fro m which we have evolved and outside of this environment can lead to errors. The second system, slow thinking, is the one we would normally associate with the thought process in the strictest sense. The process is a slow one which is both deliberate and conscious and we would feel that we are in control. The slow system may be used to determine what clothes we will wear today or which shares we should invest in to gain a higher return of investment. While both these systems operate in different ways, they too are interconnected and rely on each other.Any impressions that are formed through system one will be fed into system two. In situations where system one encounters an environment to which it is unfamiliar, it will automatically mobilise system two to give assistance. The information and thought process in system one is crucial in protecting us from day to day; it is nevertheless much less effective for any long term planning. Any short –comings of one system is made up fo r by the ability of the other system and combined can ensure better outcomes whether in the immediate or longer term.While the way in which we think, using either of the systems or modes of thinking described by Kahneman, is important, so too will logic play an important role in our thought process and how we reach decisions. Deductive reasoning, also known as deductive logic or logical deduction is the process of reasoning from one or more general premises or statements to reach a logical conclusion which is certain. Deductive reasoning makes a clear link between premises and conclusions and it recognises that if all premises are true and the terms are clear and the principles of deductive logic are followed then the conclusion that is reached is true.For example, if all students eat in the canteen, and Martin is a student, then Martin must eat in the canteen. Inductive reasoning, on the other hand, is reasoning whereby the premises would seek to supply strong evidence for the trut h of the conclusion. While a deductive argument is supposed to give certainty, inductive will giveprobable certainty. Using the example above, more evidence would need to be sought in order to determine of Martin does indeed eat in the canteen and it would not be taken as given until further evidence is provided.The application of either deductive or inductive reasoning will be a vital factor in our decision-making. In certain circumstances it may be suitable to apply either, depending on the importance and certainty required in decision and the impact of making assumptions. However, there are also some factors which can distort the outcome of any decision and the logic may not be true where a fallacy exists. A fallacy is â€Å"a mistaken belief, especially one based on unsound arguments† (www. oxforddicionaries. com). An argument can be fallacious, irrespective whether or not the conclusion is true.There are two types of fallacy, formal and informal. A formal fallacy is an e rror that stems from a poor logical form whereas an informal fallacy is an error in reasoning that does not originate in improper logical form. A formal fallacy results in a pattern of reasoning that will always be wrong due to a flaw in the logical structure of the argument which will render the argument invalid. A fallacy can be of presumption which fails to prove the conclusion by simply assuming that the conclusion in itself is proof. A fallacy of weak inference would fail to prove the conclusion without sufficient evidence.Fallacies of distraction are those that fail to prove the conclusion with irrelevant information such as emotion while a fallacy of ambiguity would fail to prove the conclusion due to the impreciseness of the words or grammar. Some fallacies may be committed intentionally in order to either manipulate or persuade by deception or unintentionally due to a lack of understanding or carelessness. Either way, such situations can result in an alternative action than that which may have being taken if complete or accurate information was supplied.As with all information supplied for the basis of decisions, it should be checked to ensure greater accuracy throughout the decision-making process and to reduce the likelihood of judgemental biases. â€Å"Decision makers are susceptible to a number of judgemental biases that systematically lead to predictable inconsistencies and decisional errors† (Nisbett & Ross, 1980). We often use our judgement to quicken the decision-making process and we will use of judgement to assist us during this process. However, as Nisbett and Ross have identified, this process can often lead to errors.Selective perception, impression effects including primacy, regency and halo as well as framing and presentation effects and hindsight are all examples of judgemental biases with can distort our analysis and ultimately impact on our decision-making. Selective perception is whereby an individual perceives what they want from a message, in any form of communication including a picture or an advertisement, and ignoring everything else. People tend to see things from within their own frame of reference and as a result the message they receive may be distorted or inaccurate.This may occur due to the amount of information we receive and our inability to accurately process all the information our brain receives. We subconsciously scan the information that we receive and as a result we often not only see what we want to see but also what we expect to see (Plous, 1993). An example of this bias is the Hostile Media Effect, which refers to the finding that people who have strong biases towards a certain issue perceive media coverage as being biased against their opinions, irrespective of the reality. The results of a study carried outin Stanford University (Valone, Ross & Lepper, 1985), which showed news clips from the Sabra and Shatila massacre in Beirut to both pro-Palestinian and pro-Israeli students, fo und thatboth sides considered the clips to be slanted in favour of the other side. The strength of our emotional attachment can have a significant influence on how we can perceive situations and can therefore distort our perception and influence our decisions. We have often heard that first impressions last so we are advised from childhood right through to preparing for interviews to make a good first impression.The basis for this is the primacy effect which â€Å"occurs when initial impressions are believed to be more relevant and important in rendering a decision than later impressions† (Williams, 2002). While this instinctive reaction is often correct, it can also be misleading and allowing us to form the wrong opinion. In such cases, because our opinion is already formed, it can be difficult to change this as we are unlikely to allow ourselves time to develop the relationship further.As well as the primacy effect occurring in instances such as the interview, it can also o ccur in situations when, for example a presentation that is presented first will leave a greater impressions, irrespective of the value of the content. In certain situations, it is, however the most recent incident which will be perceived to be most relevant and this is referred to the regency effect. This is often the case when recalling words or number or even items such as when contestants on TV shows such as The Generation Game would recall the items that had previously passed before them on a conveyor belt.Research showed that in most cases, contestants recalled the last item first in most instances (www. bbc. co. uk). The timing of when a decision will be made is a crucial factor and if a decision is to be delayed by as much as a week, then the primacy effect will take precedence whereas if the second or final argument isn’t delivered until a later date then the regency effect will carry more weight. Another factor which may influence our judgement and decision making i s the so-called ‘halo effect’, a cognitive bias whereby the judgement of a person’s character is influenced by one’s overall impression.The manner in which this can manifest itself it best illustrated with an example: you are at a party and meet a friendly person. Later that week you have asked to become involved in a charity event and are seeking sponsorship. You contact the person you met at the party as you suspect they will make a donation. In reality, there is no link between the pleasant nature of the person you met at the party and generosity. Yet, the halo effect is leading you towards the assumption that the two are connected.Many people use the halo effect to sway peoples judgement and it very often exploited by politicians. A local GP may seek election to local or national government having made numerous promises in their bid for election. The electorate may determine that because they are educated and medically qualified they will make good pol iticians. In reality, there is no correlation between the two but the halo effect in many cases convinces the electorate. The opposite of the halo effect is known as the devils horns effect and is essentially the reverse.If a negative characteristic is identified in an individual, then further negative attributes may be associated with them without sufficient evidence. In order to try and form a balanced and more objective opinion, it is important to be aware of the existence of the halo or devil’s horns effect and begin to ascertain what the actual characteristics or traits rather than simply forming an opinion without sufficient evidence. How information is both presented and framed to the decision maker can impact on their final judgement.The manner in which the information is received can impact on how the information is processed. For example, if we are asked how if we consider if someone is tall or small, or if the question of weight is presented as how large or small i s someone, we may give different opinions. Similarly, anchoring may occur when the questions is presented with data which may influence the decision-maker. Anchoring is the â€Å"act of basing a judgement on a familiar reference point that is incomplete or irrelevant to the problem that is being solved† (www.businessdictionary). Again, the manner in which the information is presented may influence the decision-maker. In the event of a company deciding on a projected return-on-investment, the CFO may ask the general manger if a 15% return would be acceptable. The general manger may anchor to the figure of 15%, whereas this should not be a reference point at all and if the information was presented with a certain tone, the general manager’s opinion may be swayed by this too.â€Å"When information becomes an anchor, we adjust insufficiently form that amount when making decisions† (Williams, 2002). Our decisions are also influenced how a problem is framed. This effe ct can occur when decisions makers are more inclined to avoid risk and problems are famed as gains and when they may seek risk problems are viewed as losses. Framing can also influence the decision maker when the information is presented in a positive rather than a negative manner. For example, there is a 90% chance of a positive return of investment rather than a 10% chance of a loss.In order to minimise presentation and framing effects and reduce the tendency to anchor, it can be beneficial to review the number of items under consideration in order to get a better picture of the situation in question. This can remove any bias by ensuring a greater range and reduces the focus from the presented information to increases the overall assessment and reduce and judgement bias. Hindsight, or the ‘knew it all along effect', can also have an impact on our judgement. It refers to the inclination to recall past events as being more predictable than they were prior to the event taking p lace.Hindsight bias may lead to memory distortion whereby those recalling the past events can reconstruct the event in such a manner that it leads to false or misleading theoretical outcomes. Studies carried out by Kahneman and Tversky show that the effect can cause problems when trying to analyse, interpret and understand results. One of the basic problems with hindsight it that the person may consider that they â€Å"knew it all along†, and examples have been cited in historians accounts of battles and in judicial systems when responsibility is being attributed.In business, hindsight may influence a decision and may cause an element of overconfidence in the decision when the decision maker sees themselves who remember correctly when in fact they are forgetting they made the wrong decision the first time. â€Å"The illusion that we understand the past fosters overconfidence in our ability to predict the future† (Kahneman, 2012). When faced with new information, hindsi ght can cause the distortion in the original analysis and can lead impact on future similar decisions In making any decisions, as outlined above, how we think and the factors that influence our judgement are critical.However, the factors that influence our decision making process is not limited to those. Groupthink, the levels of risk associated with the decisions, the rationality of the decision-maker as well as cultural and political influences all play an important role in influencing our decision making. Understanding the role of all these factors and how they ultimately influence to decision-making process us can assist us in making better informed decisions. Groupthink can occur within a group of people when a desire for conformity within the group results in an incorrect outcome in the decision-making process.The members of the group, in an effort to avoid conflict and reach a general consensus, do not critically review or evaluate the ideas sufficiently as doing so may resul t in isolation. As a result of groupthink, there is a loss of creativity and there is little or no encourage for independent thinking, which can lead to a dysfunctional group. The group is likely to encounter an illusion of invulnerability, an inflated certainty that they have made the right decisions and â€Å"to deterioration in mental efficiency, reality testing and moral judgments as a result of group pressures†, (Janis, 1972).Janis has extensively researched ways to avoid groupthink including the examination of all alternatives, an independent leader and the appointment of a ‘devil’s advocate’. He also advocated the â€Å"vigilant appraisal â€Å", (Janis, 1982), as used by President Kennedy during the Cuban Missile Crisis when the President invited experts in to give their opinion and allowed those experts to be questioned. The level of uncertainty and risk is an important factor influencing the decision-maker. The entire process is an attempt to t ry to reduce, or, if possible remove risks and uncertainties.The decision makers risk preference will also impact on the level of risk and uncertainty which will remain. In the face of uncertainty, key decisions may be put on hold until such time as the level of uncertainty is eliminated or, at least, reduced. It is important to note that there is a distinction between risk and uncertainty. Uncertainty is the situation whereby multiple outcomes are possible but are not yet known whereas risk is a situation of uncertainty whereby the possible outcomes will involve some degree of losses dependent on the actual outcome of the situation.The decision maker’s perception of risk, the framing of the risk and the level of personal involvement will also be a factor in the final decision and these will assist to determine the level of control the decisions maker has over the situation. The level of control the decision maker will play an important role because while a particular action may be riskier it may be taken if greater control can be exerted on the possible outcomes.In most situations the level of risk will never be completely eliminated, however it is important that all actions are taken to reduce its impact and in this regard a good understanding of our perception of risk and risk preference is a key consideration. In making any decision, it is usually assumed the person or persons making the decision will act in a rational manner. A rational decision maker will use â€Å"a method for systematically selecting among possible choices that is based on reason and facts† (www.businessdictionary. com). During the process those tasked with making the decision will often use a number of analytical steps to review the facts and possible outcomes before they decide on what course of action to pursue. A rational decision is one that is not only reasoned but one that is the optimal one for solving a problem or for achieving a goal. Determining the optimum cou rse of action will require collating and quantifying information and making several key assumptions.These assumptions must be clearly identified, otherwise, the decision maker may be seen to be acting in their own self-interest, and thus in an irrational manner. â€Å"Good decision making involves sufficient search for possibilities, evidence and goals, and fairness in the search for evidence and in inference†, (Baron,1991). However, the decision-maker may also be limited bounded rationality by the amount of information available to them, the time constraints imposed upon them, the cognitive limitation of their minds or the amount of resources, financial and non-financial at their disposal.This notion of bounded rationality was proposed by Herbert Simon whereby â€Å"the decision-makers lack the ability and resources to arrive at the optimal solution, they instead apply their rationality only after having greatly simplified the choices available† (www. princton. edu). Thus, it can be argued that the decision maker’s choice will be limited given the information available to them and the ability of those to act in rational manner, and they will often become satisfiers, seeking a satisfactory outcome rather than an optimal one.We constantly strive to make the best possible decisions and to make the most rational decisions can. However, as outlined above, we are subject to bounded rationality and therefore must, in reality try to determine the best possible outcome. The decisions we make are also affected by our nature, our chemical make-up, our environment and importantly, the role our emotions play. Our emotions can often overrule our reasoning and affect our logical approach to decisions, and it is important that we take time to consider options and alternatives before making unnecessary impulsive decisions.The desire to make quick and compulsive decisions can result in good decisions on occasions but finding an ability to restrict our incl ination to make compulsive decisions, which can be strongly influence by our emotions, can often result in improved decision making. Decision making is part of everyday life both personally and professionally. As outlined above there are many factors which influence our thinking, judgement and decision-making.However, the factors and process is not limited to those mentioned but also involves consideration of a cost/benefit analysis, which will impact of the rationality of the decision, as well as the emotional condition and level of involvement of those making the decisions and there may even be an element of luck, however â€Å"the idea that large historical events are determined by luck is profoundly shocking, although it is demonstrably true† (Kahneman, 2012). The time horizon and the effects of any decision should, where possible, be considered in the context of both the short and long-term to fully understand its implications.It is evident that the entire process does n ot involve one, or even several of the factors mentioned, but is rather a combination of both conscious and subconscious actions which, when combined, will impact on the decision. It is also clear that the correct or most favourable decision will not always be reached but recognition of the processes and the factors which influence our thinking, judgement and decision making will ensure that the choices we make will be better informed and therefore result in greater probability that the decisions we make are the optimal ones.