Godel's Theorem

Paper Summary:

This paper explains Godel's theorem and its application to the machine mind. It describes the advantages of Godel's theorem in mathematics and how it is used in practice by mathematicians who lack understanding of a specific principle. The paper also provides the writer's opinion of the use of the theorem and suggests that it is almost commonsensical in nature.

Table of Contents:
Response to Postings
Discussion

From the Paper:

"This could in fact be yet another referral to Cherniak's Riddle but that fact would only be left to the literary critic to decide and because human language is a series of referential signs and symbols that always refer to something else this could never be known absolutely. Here is the key difference in the two languages in question. When a mathematical principle is discovered and proven it is self evident to all and taken as fact. When a literary concept is created it is, conversely, always up for debate and its meaning always at play. Thus, Godel's theorem is both an apologetic and a principle best left explained in the language it was conceived in--mathematics."

Sample of Sources Used:

• Cherniak, Christopher. "Short Story."
• Hofstadter, Douglas. "Birthday Cantatatata."
• Hofstadter, Douglas. "An Excerpt from a Reflection on The Riddle of the Universe and Its Solution."
• Lucas, J.R. "Minds, Machines and Goedel." Philosphy, 36(1961): 112.
• Penrose, Roger. "Continuation of Truth, Proof, and Insight." The Emperor's New Mind.

More papers on Godel's Theorem:

• Term Paper # 130224 : "Godel's Theorem of Proof"
• Essay # 32160 : "Godel and the "Theorem on Incompleteness"
• Essay # 88305 : "Free Will in Godel's Theorem"
• Analytical Essay # 130829 : "Goedel's Theorem"

APA Citation:

MLA Citation: