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Women's contributions to mathematics
Alan Turing essay
Women's contributions to mathematics
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Alan Turing has been called many things throughout his time; mathematician, cryptanalyst, and a computing pioneer are just a few of the titles placed upon his shoulders. He contributed to many fields, but he is hailed for his work in the field of mathematics, the computer science community, and his efforts in cryptography during World War II.
Alan Turing was born on June 23, 1912 to a wealthy middle class family. His parents, Julius and Sara Turing had met in India and had previously had one other son with whom Turing spent his childhood. Alan’s rise to fame began after his acceptance into King’s College in 1931, by 1936 he had not only graduated with a distinguished degree in mathematics but had also received a Fellowship, or a member of a group of peers whom work together in the pursuit of knowledge, and was awarded the Smith’s Prize for his work on probability theory (Huertas).
With the introduction of Gödel’s paper in 1931, a whole new world of mathematics was open for Turing. In 1935 Turing became aware that the question of Decidability, or the Entscheidungsproblem, which asks could there exist a method or process by which it could be decided whether a given mathematical assertion was provable, was still open. He provided a negative answer by defining a definite method or an algorithm in today’s terms. He analyzed the characteristics of a methodical process and how to perform that process and expressed his findings in the terms of a theoretical machine that would be able to perform the operations on symbols on a paper tape. This correspondence between operations, the human mind and a machine that was designed to embody a certain physical form was Turing’s contribution (Huertas).
Shortly after his tenure and research at Kin...
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... on hold though when he was arrested in 1952 for a sexual scandal involving a young Manchester man. He was given the option of imprisonment or chemical castration, of which he chose castration by the injection of estrogen . All his previous contributions to the world of cryptography seemed to be for nothing as his access to secret cryptography projects was revoked due to the fear of KGB, or Russian Committee for State Security, could tempt gay males into divulging sensitive materials. It was a mere two years later when Alan Turing died after consuming an apple which had been dipped in cyanide. Though it is generally accepted that his death was a suicide, there were several people at the time who thought assassination should not be ruled out. This is brought about several conspiracy theories that Turing was poisoned to prevent the loss of any country secrets (Hodges).
The purpose of this paper is to present John Searle’s Chinese room argument in which it challenges the notions of the computational paradigm, specifically the ability of intentionality. Then I will outline two of the commentaries following, the first by Bruce Bridgeman, which is in opposition to Searle and uses the super robot to exemplify his point. Then I will discuss John Eccles’ response, which entails a general agreement with Searle with a few objections to definitions and comparisons. My own argument will take a minimalist computational approach delineating understanding and its importance to the concepts of the computational paradigm.
John Von Neumann was a very famous mathematician/ scientist whose work influenced theories and formulas we still use in the 21st century. He worked with many other influential mathematicians and scientists. His work influenced game theory, the quantum theory, automata theory, and defense planning. Von Neumann was a hard worker and was always working on new and old projects from when he began his career until the day he died.
In 1939, British Intelligence recruit Alan Turning, a mathematician/crypt analyst from Cambridge, to help win the war against the Germans. Turing leads a team of linguists and scholars to crack the "unbreakable" Nazi codes, shaped by the Enigma machine, which is used to communicate with the German military. Alan constructs a machine that would decrypt Enigmas messages at a much more substantial rate, rather than mentally solving the codes on paper. While the team finds success, Turing's announces his confined homosexuality to his newly married wife/colleague. Although there are violent and alcoholic actions illustrated and sexual themes portrayed throughout, this movie has a very strong message on perseverance and is suitable for high school age kids.
The reason I believe that the Turing test is a great test is because it not only difficult, but it allows the interrogator to think, and that is what I believe Turing looks for his test, the state of logical thought. This would prove that the machine or anything can basically think and feel. For example, If I were to be the interrogator and asked “Are you a woman?” and they both answered me “I am” I would be mentally disturbed and would have to ask new questions to find my answer, but the main point here was the fact I was mentally disturbed and that leads to emotion, which leads that if I were to figure out who was who, I would pass the test and I would have evidence that I can undoubtedly
One of the hottest topics that modern science has been focusing on for a long time is the field of artificial intelligence, the study of intelligence in machines or, according to Minsky, “the science of making machines do things that would require intelligence if done by men”.(qtd in Copeland 1). Artificial Intelligence has a lot of applications and is used in many areas. “We often don’t notice it but AI is all around us. It is present in computer games, in the cruise control in our cars and the servers that route our email.” (BBC 1). Different goals have been set for the science of Artificial Intelligence, but according to Whitby the most mentioned idea about the goal of AI is provided by the Turing Test. This test is also called the imitation game, since it is basically a game in which a computer imitates a conversating human. In an analysis of the Turing Test I will focus on its features, its historical background and the evaluation of its validity and importance.
Turing continued working on the digital computer and ideas in artificial intelligence until he died on June 7, 1954. He was found with a half-eaten apple loaded with cyanide, the half-eaten apple a familiar symbol of innocence. Some say he had committed suicide over an embarrassing incident with a 19-year old student , while his mother says he was just performing another experiment with household chemicals and became careless. Whichever it may be, Alan Turing passed away and left the world with many raw ideas to work out. In my opinion, the biggest contribution that he left with us was his idea of a single machine running off a finite number of algorithms to perform multiple tasks. This being the vision of the computers we all use today.
In this essay, I describe in detail a hypothetical test contemporarily known as the Turing test along with it’s respective objective. In addition, I examine a distinguished objection to the test, and Turing’s consequential response to it.
Throughout time many innovators come and go. For some of these great men we remember not only their accomplishments but them as a person. Many of our modern technologies were developed or founded by one man, but do we know their names? Isaac Asimov must be considered one of the few innovators whom have not only shaped a new idea into reality but have also kept their legacy along with it.
Alan Mathison Turing was born on June 23rd of 1912 in London (source 1 xv) to father, Julius Turing, (source 1 5) , and mother Ethel Stoney (source 1 6) . Alan was born into the Turing family with an older brother, John Turing, who was 4 years his senior (source 1 8) . The Turing family was not poor, but money was constantly rationed due to the constant travel that Julius Turing committed to as an Indian Civil Service Officer which made Julius a lacking father figure to his two sons (source 1 5) . Consequently, due the lack of parental guidance in his life, Alan tended to be a problematic child “who could learn anything but be taught almost nothing” (source 5) , and Alan was known to be strongly opinionated and sarcastic (source 1 14) . Nevertheless,
Alan Turing being the protagonist of this film undergoes many scenes of conflict which makes the film more appealing to the audience by allowing them to either relate to him or sympathise for him. There are many scenes where Turing is advised to keep his gender preference under the radar or even black mailed to keep quiet under the threat of telling authorities that he is a homosexual. There is a scene where Turing finds the Soviet Spy in Bletchley Park who turns out to be John Cairncross. Cairncross catches Turing before he spreads the secret and says "if you tell them my secret I'll tell them your's". Another example of black mail is when Stewart Menzies, who is in on Cairncross's undercover work, finds out of Turing's knowledge and blackmails Turing in the same way Cairncross did. These examples of the protagonist being seen in conflict makes the film more appealing to the audience by making the character seem more relatable as everyone in life come across different types of conflict and it is appealing to see how other people overcome their
Alan Turing left an indelible mark on the world with technological inventions, extraordinary talent, and productive habits. His dedication to hard work and perseverance against the discouragement of bullying provide fantastic examples for anyone to emulate. Also, the inventions of the Turing Machine and the Bombe were the primary reasons why computers existed during the last sixty years, and were important factors in the demise of Nazi Germany. Finally, for one to truly understand why Turing was important in world history, he should envision life without modern technology and
The changing landscape of the Second World War heralded and required new, technological methods of warfare that would alter the course of history forever. But none were as influential as cryptic intelligence. The creation of covert intelligence was crucial to maintaining order within ranks and strategic planning. However, discovery of this intelligence could just as easily reveal dire secrets to one’s enemies. Because the Enigma cipher was so widely used and trusted in by the Germans due to its mechanical nature, the solution to the cipher posed by Alan Turing provided the Allies with invaluable information that changed the course of the war.
In his essay, “Computing Machinery and Intelligence,” Alan Turing poses the question, “Can machines think?” (433). Throughout the essay, Turing refines the question into one that he believes can be experimented upon in the distant future. However, Turing seems to take the position that machines can, indeed, think depending on how one defines thought. Although he states that he “should begin with the definitions of the meaning of the terms ‘machine’ and ‘think,’” he never provides the reader with his definition of thought (433).
Charles Babbage was a mathematician, theorist, creator, and mechanical engineer, who is best recalled for originating the concept of a programmable computer. Considered a, “father of the computer”, for his labor in evolving a difference machine and drafting ideas for an analytic machine that would pave the way for more intricate models that would come to be acknowledged as the modern computer. Babbage invented the first mechanical computer that eventually led to more intricate designs. His diverse work in additional fields has led him to be labeled as “pre-eminent” among the many polymaths of his time.
... still be honored for being a pioneer in that field. Many of the attributes in his machines are still used in computers today. Without Babbage, people today might not have computers, or even calculators! Babbage also invented other devices, such as the speedometer and the cowcatcher. Even though he never saw his machines at work, Babbage’s legacy would still be honored a hundred years later. In the mid-twentieth century, a few scientists met with each other and decided that Babbage’s machines could be built. They constructed a version of the difference engine using his plans. Without Babbage, many of the things taken for granted by people now might not exist, and many discoveries based on his achievements might not have been made. Babbage’s remarkable life should be remembered for his achievements because without them, this world would not be the same.