[gwern]

I think it's wrong for a much more profound reason: what Knuth describes as an aberration is, like, 90% of all AI in science fiction, ever. They are almost all human or sub-human, with only the occasional god-like AI (carefully rendered irrelevant). Singularity-style SF is rare, in part because authors really want to write human-centric stories, and because a true Singularity SF story is quite difficult to write. (As Vinge was so memorably told when he tried some of the first: "you aren't smart enough to write this story. No one is.") So, you can fit pretty much the entire corpus on a screen or two: some Vinge, some Stross, some Rajaniemi, some Brin, maybe some Stanislaw Lem or Olaf Stapledon if you're feeling historical/generous... As opposed to 'mundane' AI which is probably the last SF fiction you read and then the dozen before that too.

[shagie]

Some stories that come to mind...

Accelerando Charles Stross https://www.antipope.org/charlie/blog-static/fiction/acceler...

Stress again has Singularity Sky which has a minor character as a weakly godlike AI (which is explored much more as a character in the sequel Iron Sunrise (the third book in the series is not to be written - http://www.antipope.org/charlie/blog-static/2010/09/books-i-... ))

Implied Spaces by Walter Jon Williams (aside: it has a mention of the Vingean Singularity):

> “I and my confederates,” Aristide said, “did our best to prevent that degree of autonomy among artificial intelligences. We made the decision to turn away from the Vingean Singularity before most people even knew what it was. But—” He made a gesture with his hands as if dropping a ball. “—I claim no more than the average share of wisdom. We could have made mistakes.”

There's the classic Asimov - The Last Answer

There's a nacesant one in True Names by Vinge (the post singularity in Marooned in Realtime doesn't have any AIs) https://ia801004.us.archive.org/0/items/truenamesvingevernor...

And digging fairly deep into my library, I'll also make mention of The Risen Empire by Scott Westerfeld.

There's a lot of smart AI in sci-fi - but things that that gets close to flirting with the singularity are indeed a rarity.

[Sharlin]

The most famous "weakly godlike" AI entities are probably the Culture Minds (RIP I.M. Banks). Or ar least they’re supposed to be weakly godlike. In practice they never seem to do anything that a bunch of particularly smart humans couldn’t do, besides being exceedingly parallel, being able to, say, carry a conversation with a hundred million people at the same time. Indeed, they weren’t even able to predict that a certain agent of theirs, a highly effective warrior, would go and win a war that he was (unknowingly) supposed to lose. Never mind being able to figure out his true identity, or at least entertain the possibility given what they knew about him.

[titanomachy]

Maybe I have weird taste but I seem to read a lot of sci-fi where superhuman superintelligence is central to the plot. In addition to the great examples you gave in Vinge and Stross, Banks and Watts come to mind.