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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contributions to the world of cryptography seemed to be for nothing as his access to secret cryptography projects was revoked due to the fear of KGB, or Russian Committee for State Security, could tempt gay males into divulging sensitive materials.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).
In this paper I will evaluate and present A.M. Turing’s test for machine intelligence and describe how the test works. I will explain how the Turing test is a good way to answer if machines can think. I will also discuss Objection (4) the argument from Consciousness and Objection (6) Lady Lovelace’s Objection and how Turing responded to both of the objections. And lastly, I will give my opinion on about the Turing test and if the test is a good way to answer if a machine can think.
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.
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 earned a fellowship at King’s college and the following year the Smith’s Prize for his work in probability theory. Afterward, he chose a path away from pure math into mathematical logic and began to work on solving the Entscheidungsproblem, a problem in decidability. This was an attempt to prove that there was a method by which any given mathematical assertion was provable. As he began to dive in to this he worked on first defining what a method was. In doing so he began what today is called the Turing Machine. The Turing Machine is a three-fold inspiration composed of logical instructions, the action of the mind, and a machine which can in principle be embodied in a practical physical form. It is the application of an algorithm embodied in a finite state machine.
Looking back at the impact of Mr. George Boole, we see how great of an impact he has made on the world we live in today. We have seen above why George was such an influential mathematician from being the first mathematician to win a Gold Medal from the Royal Society, to developing theories which would shape modern technology and computer logic. Coming from modest means, Boole epitomizes how sheer will and knowledge can overcome poverty to become one of the greatest mathematicians and logicians of all time.
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.
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.
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
Although the majority of people cannot imagine life without computers, they owe their gratitude toward an algorithm machine developed seventy to eighty years ago. Although the enormous size and primitive form of the object might appear completely unrelated to modern technology, its importance cannot be over-stated. Not only did the Turing Machine help the Allies win World War II, but it also laid the foundation for all computers that are in use today. The machine also helped its creator, Alan Turing, to design more advanced devices that still cause discussion and controversy today. The Turing Machine serves as a testament to the ingenuity of its creator, the potential of technology, and the glory of innovation.
...ere are gears used to select which numbers you want. Though Charles Babbage will always be credited with making the first “true” computer, and Bill Gates with popularizing it, Blaise Pascal will always have a place among the first true innovator of the computer. There is even a programming language called Pascal or Object Pascal which is an early computer program.
The traditional notion that seeks to compare human minds, with all its intricacies and biochemical functions, to that of artificially programmed digital computers, is self-defeating and it should be discredited in dialogs regarding the theory of artificial intelligence. This traditional notion is akin to comparing, in crude terms, cars and aeroplanes or ice cream and cream cheese. Human mental states are caused by various behaviours of elements in the brain, and these behaviours in are adjudged by the biochemical composition of our brains, which are responsible for our thoughts and functions. When we discuss mental states of systems it is important to distinguish between human brains and that of any natural or artificial organisms which is said to have central processing systems (i.e. brains of chimpanzees, microchips etc.). Although various similarities may exist between those systems in terms of functions and behaviourism, the intrinsic intentionality within those systems differ extensively. Although it may not be possible to prove that whether or not mental states exist at all in systems other than our own, in this paper I will strive to present arguments that a machine that computes and responds to inputs does indeed have a state of mind, but one that does not necessarily result in a form of mentality. This paper will discuss how the states and intentionality of digital computers are different from the states of human brains and yet they are indeed states of a mind resulting from various functions in their central processing systems.
Turing’s functionalism focuses on the mathematical function, for example, one plus one equals two is a computational function, whereas the teleological concept of function, sees the function of the heart to pump
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).
His efforts went unacknowledged; his invention of the computer wasn’t celebrated until someone else took credit for it; he never got the respect he deserved. The Imitation game is basically an arena of social conflict as well as social change when looking at sexuality, deviance, even gender. Just remember this movie was based on a true story. Alan Turing is a war hero that saved lives, simply due to the fact that the British government thought it was morally wrong that a man could ever love another man he died. Rest in peace, Mr. Turing who shall forever be celebrated. The movie was heart moving. Undeniably the best feature film I have seen that depicts the biography of Alan Turing perfectly, though this is just a matter of