Thursday, October 9, 2008

Post # 6 - Well-ordering Principe & Well-ordering Theorem

You might consider this post kind of irrelevant, since it is not related to the course material directly. I accidentally happened to know that the Well-ordering Principle and Well-ordering theorem are different things, even though they are often taken to be synonymous. 

The Well-ordering Principle states that that every set of natural numbers has its smallest element, while the Well-ordering Theorem states that every set can be well-ordered.  

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