If, for instance, the machine was trying to find a solution of the equation x^2 - 40x - 11 = 0 one would be tempted to describe this equation as part of the machine's subject matter at that moment. ... Turing is trying to explain that the computers subject matter may be geared towards solutions and equations instead of the subject matter of people. ... Turing shows that there are limitations to machines by "Godel's theorem shows that in any sufficiently powerful logical system statements can be formulated which can neither be proved nor disproved within the system, unless possibly ...

• Word Count: 931
• Approx Pages: 4
• Has Bibliography
• Grade Level: High School

What you must learn is that these rules are no different that rules of a computer system.... What was thought to be as "magic" in the pre-technological era - gravity, magnetism, even flight, can now all be explained using mathematical equations. ... He was also able to describe the difference between the present state and the state a small period into the future using a set of mathematical equations called "Differential Equations". ... This universe would be someone else's virtual reality; physics would be the rules set on this universe for order, and we would be the system'...

• Word Count: 791
• Approx Pages: 3
• Grade Level: Undergraduate

Over the course of many years in the education system, along with the help of Pablo Freire's The "Banking" Concept of Education, it is becoming more noticeable that students have suffered from narration sickness and loss of creativity. ... This clearly shows that the education system is filling the minds of the young with copious amounts of information, dulling creativity to the point of inability to simply think for themselves. In America's education system, there is still difficulty in exercising freedom to express exactly one's own opinion of works and have uniqu...

• Word Count: 1060
• Approx Pages: 4
• Has Bibliography
• Grade Level: Undergraduate

To relate this theory to the idea of free will, we can begin by saying that because we are part of nature, we are subject to the same causal chain of unfolding events and that events we regard as "choices" or "judgments" act under a necessity similar to that of a mathematical equation. ... Furthermore our link to God/Nature establishes that we too are not outside of this system and we can only hope to better understand this fact as clearly as possible. ...

• Word Count: 1079
• Approx Pages: 4
• Grade Level: Undergraduate