1 Gogore

Essay On John Nash

John Nash, in full John Forbes Nash, Jr., (born June 13, 1928, Bluefield, West Virginia, U.S.—died May 23, 2015, near Monroe Township, New Jersey), American mathematician who was awarded the 1994 Nobel Prize for Economics for his landmark work, first begun in the 1950s, on the mathematics of game theory. He shared the prize with John C. Harsanyi and Reinhard Selten. In 2015 Nash won (with Louis Nirenberg) the Abel Prize for his contributions to the study of partial differential equations.

Nash enrolled in chemical engineering at the Carnegie Institute of Technology (later Carnegie Mellon University) in Pittsburgh before he switched to chemistry and then to mathematics, in which he finally received both bachelor’s and master’s degrees in 1948. Two years later, at age 22, he completed a doctorate at Princeton University. In 1951 he joined the faculty of the Massachusetts Institute of Technology (MIT), where he pursued research into partial differential equations. He resigned in the late 1950s after bouts of mental illness. He then began an informal association with Princeton, where he became a senior research mathematician in 1995.

While he was still in graduate school, Nash published (April 1950) his first paper, “The Bargaining Problem,” in the journal Econometrica. He expanded on his mathematical model for bargaining in his influential doctoral thesis, “Non-Cooperative Games,” which appeared in September 1951 in the journal Annals of Mathematics. Nash thus established the mathematical principles of game theory, a branch of mathematics that examines the rivalries between competitors with mixed interests. Known as the Nash solution or the Nash equilibrium, his theory attempted to explain the dynamics of threat and action between competitors. Despite its practical limitations, the Nash solution was widely applied by business strategists.

Nash’s research into differential equations at MIT led to his seminal paper “Real Algebraic Manifolds,” which was published in Annals of Mathematics in November 1952. His other influential work in mathematics included the Nash-Moser inverse function theorem, the Nash–De Giorgi theorem (a solution to David Hilbert’s 19th problem, which Nash undertook at the suggestion of Nirenberg), and the Nash embedding (or imbedding) theorems, which the Norwegian Academy of Science and Letters described as “among the most original results in geometric analysis of the twentieth century”; the academy awarded Nash the Abel Prize. His other honours included the John von Neumann Theory Prize (1978) and the American Mathematical Society’s Leroy P. Steele Prize for a Seminal Contribution to Research (1999).

Nash’s research into game theory and his long struggle with paranoid schizophrenia became well known to the general public because of the Academy Award-winning motion pictureA Beautiful Mind (2001), which was based on Sylvia Nasar’s 1998 biography of the same name. A more factually accurate exploration of Nash’s struggle with mental illness was offered by the public television documentary A Brilliant Madness (2002).

Thomas Szasz once said, if you talk to God, you are praying; if God talks to you, you have schizophrenia.

It is a terrible disorder that affects many people around the world. Arguably the most famous person with schizophrenia is Nobel Prize (1994) and American Mathematicians Society’s Leroy P. Steel Prize for Seminal Contribution to Research (1999) winner, John Nash.

Paranoid Schizophrenia can be a crippling illness. Its sufferers may not be able to determine what is real and what is not. According to Dr. Paul Ballas (2006: Internet) of the Department of Psychiatry at Thomas Jefferson University, the individual has feelings of being persecuted or plotted against. Affected individuals may have grandiose (over-the-top) delusions associated with protecting themselves from the perceived plot. The key symptoms are delusions and auditory hallucinations. Paranoid schizophrenia usually does not involve the disorganized speech and behavior that is seen in other types of schizophrenia. Patients with paranoid schizophrenia typically are tense, suspicious, guarded, and reserved. There are no physical tests being used in mainstream medicine as yet to diagnose schizophrenia.

However certain tests are performed to eliminate other disorders or illnesses that have similar symptoms. Schizophrenia.com (2007: Internet) states these possible disorders include seizure disorders, metabolic disorders, thyroid dysfunction, brain tumour and drug use. Currently, there is research being performed in various Universities in the United States into new physical tests to confirm schizophrenia. They are experimenting with blood tests, special IQ tests, eye tracking, brain imaging and smell tests. It will be a few more years before the results can be confirmed. For now a Psychiatrist must diagnose a person with schizophrenia.

Usually a person suffering from the disorder will exhibit positive (hallucinations), negative (poor social functioning) and cognitive (difficulty concentrating) reactions. To diagnose a person with schizophrenia, a person must display:•Characteristic symptoms: Two or more of the following, each present for a significant portion of time during a one-month period (or less, if successfully treated)odelusionsohallucinationsodisorganized speech (e.g., frequent derailment or incoherence; speaking in abstracts). See thought disorder.

ogrossly disorganized behavior (e.g. dressing inappropriately, crying frequently) or catatonic behavioronegative symptoms, i.e., affective flattening (lack or decline in emotional response), alogia (lack or decline in speech), or avolition (lack or decline in motivation).

Note: Only one of these symptoms is required if delusions are bizarre or hallucinations consist of hearing one voice participating in a running commentary of the patient’s actions or of hearing two or more voices conversing with each other.

•Social/occupational dysfunction: For a significant portion of the time since the onset of the disturbance, one or more major areas of functioning such as work, interpersonal relations, or self-care, are markedly below the level achieved prior to the onset.

•Duration: Continuous signs of the disturbance persist for at least six months. This six-month period must include at least one month of symptoms (or less, if successfully treated).

Additional criteria are also given that exclude the diagnosis; thus schizophrenia cannot be diagnosed if symptoms of mood disorder or pervasive developmental disorder are present, or the symptoms are the direct result of a substance (e.g., abuse of a drug, medication) or a general medical condition. (American Psychiatric Association, 2004).Statistically speaking, the earlier the diagnosis, the better the outcome in the long run, but here in Queensland there is only one registered Early Psychosis Centre, it is located at the University of Queensland, St Lucia campus. Victoria, New South Wales and South Australia have four, six and one centre respectively.

Here in Australia there are two websites, one run by the Early Psychosis Prevention and Intervention Centre in Melbourne, www.earlypsychosis.org, and http://auseinet.flinders.edu.au/index.php which is maintained by Flinders University in Adelaide. Also www.Schizophrenia.com has an online early detection test for schizophrenia that is for either family members of those that might be affected or for individuals who are trying to understand what is happening to them.

There are three stages of schizophrenia; they are acute, stabilization and residual. In the acute phase, the patient has a clear break from contact with reality usually displayed by a psychotic episode. This will usually lead to intervention and treatment. The second stage, the stabilization phase, is when the patient’s symptoms have been brought under control but the treatment must be continued to avoid a relapse. The residual stage, is where the patient is moderately stable and usually kept on anti-psychotic medication however relapses can occur.

John Nash first began to show signs of entering the acute stage of schizophrenia in early 1959 when his wife Alicia, was pregnant. …as a consequence I resigned my position as a faculty member at M.I.T. and, ultimately, after spending 50 days under “observation” at the McLean Hospital, traveled to Europe and attempted to gain status there as a refugee (John Nash, 1994). For some time after that he would be in and out of hospitals. At times his involuntary admission to hospitals would last up to eight months. Eventually he began reject his delusions and return to mathematical research. This period of time, John Nash himself refers to as enforced rationality.

He may have been thought to be the entering the Residual stage however this would turn out to be incorrect. In truth it can be said he had not completed the Stabilization period. In the late Sixties, he returned to what he described as a dream-like delusional hypothesis, however managed to avoid being admitted to hospital by behaving as normally as he could. This can be said to be his transition into the Residual stage. Although he had a slight relapse, he himself began to understand on an intellectual level that his delusions were exactly that, delusions. He is now thinking rationally and continuing to further his studies in mathematics with the hope that he can provide something useful to the field.

Many people, including John Nash himself believe that his schizophrenia in one way or another actually aided his work, thinking outside the box so to speak. John Nash once said: I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia.

It is suggested that the fragmented mind allows and concocts irrational ideas that can become rational solutions. Many great people with great ideas and influences have been affected by the illness. Some of those include Peter Green from Fleetwood Mac, Syd Barrett of Pink Floyd, Vaclav Nijinsky the Russian dancer and Jazz musician and composer, Tom Harrell. Some people even refer to Tom Harrell as the John Forbes Nash, Jr. of Jazz.

Treatment for paranoid schizophrenia and other mental disorders has changed greatly in the last Sixty years. In the early Nineteen-fifties, Chlorpromazine was developed. It was a phenothiazine antipsychotic used to treat schizophrenia, bipolar and as an Anti-emetic which is used for vomiting and nausea. The side affects of a phenothiazine based drug include acathisia, which is basically restlessness, tardive dyskinesia, which is a neurological disorder which affects voluntary movement that can continue after treatment has ceased, and weight gain (Wikipedia, 2007). The use of Chlorpromazine has been discontinued however John Nash would almost certainly been treated with it. He was also exposed to insulin shock therapy. This was a method used to induce a coma.

He stopped taking drugs in 1970 and recovered slowly without them over the next twenty. According to the World Health Organization, the long term outcomes of schizophrenia are far worse in United States than they are in countries such as India and Nigeria where antipsychotic medication is not as readily available. There is more. In 1987, psychologist Courtenay Harding reported that a third of chronic schizophrenia patients released from Vermont State Hospital in the late 1950s completely recovered. Everyone in this “best-outcomes” group shared one common factor: All had weaned themselves from antipsychotic medications.

The notion that schizophrenics must spend a lifetime on these drugs, she concluded, is a “myth” (Whitaker, 2002). In 1994, Harvard Medical School researchers found that the outcomes for U.S. schizophrenia patients are no better now than they were about one hundred years ago when they would simply put patients into bathtubs for hours on end. There has also been reasonable success in Finland where doctors have used counselling, community support and little or no antipsychotic medication. John Nash’s recovery is nothing short of remarkable but many people say that his constant occupation with mathematics and the support or rather that he was allowed relative freedom at Princeton aided his recovery without medication.

There is has been a shift in mentality towards the treatment of schizophrenia and other mental illnesses. A growing wave of professionals are starting accept that there is merit to the at least partial abandonment of antipsychotic drugs. John Nash may be the figurehead for the movement, but more conclusive research is needed to detect whether the disuse of anti-psychotic is subjective to select patients or can be applied to a more widespread group of sufferers of this mental disorder.


American Psychiatric Association, 2004, Diagnostic and Statistical Manual of Mental Disorders DSM-IV-TR (Text Revision). American Psychiatric Association. ISBN 0890420246. DSM-IV & DSM-IV-TR Schizophrenia criteriaBallas, Paul, 2006, Schizophrenia, (online), available from: http://www.nlm.nih.gov/medlineplus/ency/article/000936.htm, [6 September 2007]Gulli, L.F., 2007, Schizophrenia, (online), available from: http://www.answers.com/topic/schizophrenia?cat=health, [6 September 2007].

Nash, John, 2004, Autobiography, (online) available from: http://nobelprize.org/nobel_prizes/economics/laureates/1994/nash-autobio.html [6 September 2007].

Schizophrenia Symptoms and Diagnosis, 2004, (online), available from: http://schizophrenia.com/diag.php#diagnosis, [6 September 2007].

Whitaker, R, 2002, Recovery without Drugs, (online), available from: http://www.namiscc.org/newsletters/February02/JohnNashDrugFreeRecovery.htm[6 September 2007].

Wikipedia, 2007, Schizophrenia, (online), available from: http://en.wikipedia.org/wiki/Schizophrenia, [6 September2007].

Leave a Comment


Your email address will not be published. Required fields are marked *