Links Alive: articles
I have great intentions of writing a number of articles on mathematics. These articles will go into a static web server...so I decided to add the rate engine from InfoSuprHwy.com to the articles. That way I can get a little feedback.
- Critique of the Diagonal Method (descmath.com)
An article I wrote about the diagonal method. My contention is that the introduction of transfinite theory needs dramatic improvements. - Rich Theory (descmath.com)
I think it might be best to study large sets before talking about infinite sets. I call the idea "Rich Theory." The implication is that there is more to infinity than the dichotomy between "countable" and "non-countable" sets. - Diagonal Method on Finite Sets (descmath.com)
Applying the diagonal method on finite sets makes it clear that the method simply proves that 2^n > n for n > 1. - Al's Infinite Hotel (descmath.com)
Looks at Hilbert's infinite hotel model. The method is dependent on the guests moving into a hallway, indicating that there is more to the proof than what meets the eyes.
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