Are the numbers $\beth_n$ for $n > 0$ signed or unsigned?

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By extending the real number line in both directions, I know that $\infty$ or $\aleph_0$ or whatever else you want to call it has a negative, i.e. $-\aleph_0$ is a thing.

Now, of course, $\beth_0 = \aleph_0$, so $-\beth_0$ is also a thing in this sense. My question is, do $-\beth_1$ and $-\beth_2$ etc. exist as well, or are the Beth Numbers greater than $\beth_0$ all unsigned, as Computer Scientists would say?