# Research Paper Turing Machine

## Mathematical Logic

In 1935 a course by the Cambridge mathematician M. H. A. (Max) Newman introduced Alan Turing to the frontier of research in mathematical logic.### The twentieth century dawn

Already in 1933, Turing was familiar with the work of Bertrand Russell on the foundations of mathematics.

Mathematical Logic

History of Set Theory

Text of Russell's The Principles of Mathematics (1903)

### What Gödel saw

Kurt Gödel's 1931 incompleteness theorem rewrote the agenda in the foundations of mathematics.

Gödel's 1931 work left open the question of the *decidability* of mathematical propositions, and this is what Turing set out to answer. The particular technique of Gödel numbering was also influential in Turing's 1936 work. Gödel had shown how to encode theorems about numbers, as numbers. Turing went on to show how to encode operations on numbers, by numbers.

### Hilbert and decidability

The famous 1900 speech by the German mathematician David Hilbert did much to set the agenda for twentieth century mathematical research. More comment by Ivor Grattan-Guinness.

Hilbert's 1900 Tenth Question about the solubility of Diophantine equations was a precursor to his later question about the 'decidability' of (apparently) more general mathematical assertions, the Entscheidungsproblem (decision problem) which inspired Turing's work.

Martin Davis's 1958 text Computability and Unsolvability did much to propagate Turing's work and later editions of his book added Davis's beautiful exposition of the resolution of Hilbert's Tenth Problem in 1970, in which his own work had been an important ingredient. Martin Davis's later book The Universal Computer, the road from Leibniz to Turing gives a fascinating introduction to the development and significance of mathematical logic, culminating in a detailed account of Turing's work.

## turing machine

**Length:**413 words (1.2 double-spaced pages)**Rating:**Excellent

**Open Document**

A turing machine can be defined as a “device with a finite number of internal configurations, each of which involves the machine’s being in one of a finite number of states”. This means that in a machine there are certain inputs that when implemented will produce a certain output. These combinations of inputs can be used in a machine table to show the outputs for each state. By looking at a machine table one will be able to know which combination of inputs is related to the different states and also what happens at each state. Mental states can correlate directly with turing machines in that our minds can be described by using a machine table. The inputs for the machine table representation of our mental states can be seen as our perceptions. By saying perception I mean all the sensory body parts/organs that can perceive an input and send a signal to the mind. These inputs in turn determine the mental state and the behaviors related to each mental state. Because our minds can be mapped out using a machine table, each state can be seen as an instance of functionalism. Functionalism is defined as an object that has a function. Functionalism can be used to describe a single mental state. An example of a mental state that is determined by a turing machine can be the feeling of happiness. In order to be happy there are certain things that are needed to trigger it. This mental state of being happy is triggered by our perceptions and then causes one to express their mental state physically. Our physical expression, I believe, can be altered. For example, if one were told that a dog was called a cat and only knew that dogs were cats then he would always see a dog and call it a cat. It is only because of what we hear and learn from our environment that we call a dog a dog. Being a ## How to Cite this Page
| Length | Color Rating | |||
---|---|---|---|---|---|

Alan Turing Essay - Alan Mathison Turing was undoubtedly one of the greatest pioneers of our computer world. We can clearly label him the founder of what we know today as modern computer science, but beyond that, he was also a great mathematician, a code-breaker, philosopher, and certainly a risk-taker. His contributions to society not only influenced the development of today’s computers, but also seriously impacted the outcome of a second world war. Born on June 23, 1912 in London, England to Ethel and Julius Turing, Alan Turing showed very early signs of having an extraordinary mind.... [tags: Biography Computers Turing] | 1303 words (3.7 pages) | Strong Essays | [preview] | ||

Turing, Searle, and Artificial Intelligence Essay - The conditions of the present scenario are as follows: a machine, Siri*, capable of passing the Turing test, is being insulted by a 10 year old boy, whose mother is questioning the appropriateness of punishing him for his behavior. We cannot answer the mother's question without speculating as to what A.M. Turing and John Searle, two 20th century philosophers whose views on artificial intelligence are starkly contrasting, would say about this predicament. Furthermore, we must provide fair and balanced consideration for both theorists’ viewpoints because, ultimately, neither side can be “correct” in this scenario.... [tags: Artificial Intelligence Essays] :: 2 Works Cited | 1275 words (3.6 pages) | Strong Essays | [preview] | ||

The Turing Test Essay - 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).... [tags: essays research papers fc] :: 3 Works Cited | 1428 words (4.1 pages) | Strong Essays | [preview] | ||

What is the Turing Test, and Why is it so Difficult to Pass? Essay - One of the most difficult challenges in developing Artificial Intelligence (AI) is to create a machine that “thinks” as intelligently as humans do. However, devising a definition for the word “think” itself is quite a task. This is because it is yet unclear as to what comprises a human being’s thoughts, and what is the driving force behind his/her intelligence. Is it a manifestation of the immortal soul or is it just a complex network of nerves comprising the nervous system. To create an intelligent machine or a computer, it is necessary to grant it with thinking capabilities that are at par with humans.... [tags: Intelligence] :: 8 Works Cited | 2103 words (6 pages) | Term Papers | [preview] | ||

Alan Turing's Contibutions During World War Two Essay - 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.... [tags: mathematics, computing, conspiracy] | 1079 words (3.1 pages) | Strong Essays | [preview] | ||

Why Machines Cannot Have Conciousness Essay - Machines are made to calculate, capture and store images. Machines are also made to help make individual's lives easier and more efficient. For instance, we are able to keep records of our financial transactions through computers. Also, we are now able to communicate with other individuals from different countries because of technology. As technology advances, some individuals are considering machines to have qualities similar to human beings, such as a consciousness and the structure of the human body.... [tags: Alan Turing, John Searle] :: 2 Works Cited | 1282 words (3.7 pages) | Strong Essays | [preview] | ||

alan turing Essay - Alan Turning Alan Turning is known to be a pioneer of many facets of the computer age. The digital computer, artificial intelligence, memory subroutines, the Turning Machine, the Turing Test, and the application of algorithms to computers are all ideas somehow related to this man. Alan Mathison Turing was born in Paddington, London, on June 23, 1912. He was a precocious child and began his interests in science and mathematics at a young age, but was never concerned about other right-brain classes such as English.... [tags: essays research papers] | 1101 words (3.1 pages) | Strong Essays | [preview] | ||

Alan Turing Essay - Biography: Alan Mathison Turing Alan Mathison Turing was surrounded by enigma, not only did he break many cryptic codes but he also lived a mysterious life. Turing was born on June 23, 1912 in Paddington, London to Julius Mathison and Ethel Sara Turing. Turing’s father, Julius, was an officer in the British administration in India when he decided that his son would be raised in England. Turing had an older brother named John, who also had a childhood determined by the demands of the class and the exile in India of his parents.... [tags: essays research papers] | 603 words (1.7 pages) | Strong Essays | [preview] | ||

Essay on Mind And Machine - Mind and Machine: The Essay Technology has traditionally evolved as the result of human needs. Invention, when prized and rewarded, will invariably rise-up to meet the free market demands of society. It is in this realm that Artificial Intelligence research and the resultant expert systems have been forged. Much of the material that relates to the field of Artificial Intelligence deals with human psychology and the nature of consciousness. Exhaustive debate on consciousness and the possibilities of consciousnessness in machines has adequately, in my opinion, revealed that it is most unlikely that we will ever converse or interract with a machine of artificial consciousness.... [tags: essays research papers] | 2418 words (6.9 pages) | Powerful Essays | [preview] | ||

Machine Translation Essay - Machine Translation Abstract In this paper, the overview of machine translation (MT) is presented. The original idea of MT has been investigated since 1950s by many research groups and at present many MT systems have been created and developed around the world. Three approaches of MT systems: direct translation, transfer and interlingual approaches are common systems. The main idea of direct translation approach is word-by-word replacement before the transformation of the structure from source language (SL) to target language (TL).... [tags: Computer Programs Programming Natural Language] :: 7 Works Cited | 2224 words (6.4 pages) | Better Essays | [preview] |

### Related Searches

Turing Machine Computer Engineering Functionalism Table Combination Feeling Organs Input Signal

123helpme.com/search.asp?text=computer+engineering">computer engineering major and after taking a course in circuit design last quarter I found a resemblance with the state maps or truth tables that we used in circuit design and the machine tables described by Putnam. Both tables consist of inputs and states. The states determine what the chip will physically do and the state is determined by the inputs. This means that circuits can be a representation of a turing machine and could be an explanation for the mind as a computer.

## 0 comments