Governing Dynamics (Part 4: Incompleteness)
Posted by Jeff C. Jensen on the 22nd of July, 2009 at 3:07 pm under general. This post has no comments.Gödel’s Incompleteness Theorems are discoveries that have had far-reaching impact on the field of mathematics. I found a brilliant synopsis in a magazine article, and thought I would share its plain English explanation:
From Discover Magazine: Albert Einstein - “Einstein and Gödel”; March 2008. http://discovermagazine.com/2008/mar/ .
Elementary arithmetic, Gödel demonstrated, is incomplete and will remain so. Whatever axiomatic system you base your calculations on, there are true statements that lie beyond the system’s reach. Adding such statements to the system as further axioms does no good. The enriched system is also incomplete, the infection moving upward by degrees.
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