Tetration of 2 and Aleph_0

[sheldonison]

Darn it- my code didn't work. Can anybody show me the correct formatted code for some statements I just made?

Thanks,
Hassler

Try putting tex codes around your math statements

Code:

[tex]\aleph_0[/tex]

\( \aleph_0 \)

I'm no expert on set theory, but on a humorous note (not mathematically sound), assuming the generalized continuum hypothesis, then what happens if we take the slog of an aleph number?
\( \aleph_1=2^{\aleph_0} \) which implies \( \text{slog}_2(\aleph_1) = \text{slog}_2(\aleph_0)+1=\aleph_0 \)

And for any integer n where \( \aleph_{n+1}=2^{\aleph_n} \), then \( \text{slog}(\aleph_n)=\aleph_0 \)

Perhaps \( \text{slog}(\aleph_{\aleph_1})=\aleph_1 \)
- Shel