As in the title,
An initial infinite ordinal is a limit ordinal.
How can I start proving that?
2026-04-05 17:34:38.1775410478
Proving that an initial infinite ordinal is a limit ordinal
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Hint: Show that there is a bijection between $\alpha$ and $\alpha+1$ for infinite ordinals $\alpha$.
Consider the case between $\omega$ and $\omega+1$, and see that it transfers to the other cases easily.