User blog comment:SuperSpruce/Aleph BEAF!/@comment-35470197-20190131011451/@comment-36984051-20190201174743

But this sizes up infinities, not finite numbers, so it doesn’t necessarily need to reduce to 2 entries. In your first case, with aleph1 - 1, the Recursion process is repeated aleph1 times. Yes, it’s infinite, but that’s what this notation is meant to do.