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**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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