Reflection Paper on a Beautiful Mind

A Beautiful Mind is a story based on the life-time of the famous mathematician sewer Forbes Nash, Jr. His contri howeverions to mathematics ar outstanding. When he was an undergraduate, he be Brouwers fixed point theorem. He thuslyce broke one of Riemanns most discombobulate mathematical problems and became famous for the Nash Solution. support possibility from then on, Nash provided breakthrough afterwards breakthrough in mathematics. In 1958 John Forbes Nash was set forth as being the most vivid young mathematician in the world. John solve problems in mathematics that many mathematicians deemed non solvable.On the threshold of such a promising and outstanding career, he then went on to suffer through ternary decades of a devastating form of paranoid schizophrenia. He lost his teaching professions and his job. He refused all medical treatment and spent years in and out of psychoneurotic states. Remarkably, in 1994 John won the Nobel kale in Economic Science for his arrive at on Game Theory, he was wholly 21 when he wrote his paper. The story of John Forbes Nash Jr. is definitely connected with Logic, as he is a mathematician. In his rupture of many perplexing mathematical problems, he used system of logic.And in producing his famous Game theory, logical formations were used. Among the important properties that logical schemes arsehole pose ?Consistency, which message that no theorem of the organisation contradicts some other. ?Validity, which means that the systems rules of proof will neer allow a false consequence from full-strength(a) exposit. A logical system has the property of soundness when the logical system has the property of validity and only uses premises that prove true (or, in the discipline of axioms, are true by definition). ?Completeness, which means that if a theorem is true, it can be proven. Soundness, which means that the premises are true and the ancestry is valid. In one of the scenes in the movie, whe re Nash was in a bar with friends, the use of logic was very evident. While Nash and his friends all have their eyes on the aforementioned(prenominal) fairish woman, you begin to sense his genius moment. He surprises his colleagues with the question that if we all want the same woman, nobody wins, if we all go after her friends, nobody wins, and thus there mustiness be a solution to attend that everyone wins. With that, Nash writes a formula on a napkin, rushes out of the bar and works feverishly on his new theory.The scene shows the artistic production of logic, which examines three acts of the reason simple apprehension, de scar and reasoning. Simple Apprehension is the grasp of a construct. A thought is also called an idea, a species, an intelligible form, and a mental word. A concept has an extension, which is the group of things include under the concept. A singular concept is the concept of one individual, for example, your concept of President Abraham Lincoln. A univer sal concept extends to a total class of things. The more features (or notes) included in a universal concept, the narrower its extension.A recondite concept is one that applies to anything that exists, for example being, thing, unit, distinct, good, true, beautiful. A concept by itself is not true or false, just as a single word is not true or false. A concept is a sign of a thing, just as a spoken word is a sign of a concept, and through the concept the spoken word is a sign of the thing. A concept is not exclusively a sensation stored in the mind, but is an immaterial act of understanding. A pattern is expressed in a sub sentence or proposition.Judgments are either attributive, when we say A is B, where A is a subject and B is a predicate, or existential, as when we say A exists. Affirmation or affirmative plan is called composition, because we are putting two concepts together. Negation is called division, because we are taking two concepts apart. A judgement is either t rue or false. reasoning involves three edges or concepts, and two judgments. The major term is the broadest, the pip-squeak term is the narrowest, and the middle term is between the two, included in the meaning of the major term, and including in it the meaning of the minor term.An example is disposed(p) in the table below (The mental synthesis of a Syllogism). Major PremiseEvery man is mortal. person = major term Minor PremiseKenji is a man. Man = middle term ConclusionKenji is mortal. Kenji = minor term A syllogism is the verbal expression of an act of reasoning. In a syllogism or ameliorate melodic line, where one thing is given, another thing necessarily follows. Other forms of argumentation give lesser degrees of certainty. A perfect syllogism employes deduction, which is reasoning that starts from general truths, and then applies them in a particular instance.