Oh -- I just noticed ...

galathaea's original post in this thread was cross-posted to various
newsgroups:

sci.math, rec.arts.poems, alt.philosophy, alt.politics, alt.anarchism

I guess it made sense for her original post, since it was not just
math but rather some math, some philosophy, a poem -- in fact, a
ramble.

But the later math-related replies were also cross-posted to the same
groups, rather than just to sci.math.

This reply is also being cross-posted, but mainly to apologize for the
inadvertent cross-posts.

I'll try not to cross-post by accident again.

To all the non-math newsgroups