In PROVIDENCE, did the main ship have a name? If so, I somehow missed it :( Several other Providence-class vessels were named.
You’re right! It surely has a name, but we never find out what it is. Everyone calls it “the ship.”
This is one of those oh-so-clever arty author choices, so sorry about that. The idea is to make the ship feel a little more mysterious, more like the fabric of the environment (like “the earth” or “the air”), and also emblematic of the whole collection of AI ships in general. Because, not to get too spoiler-y, there is no real difference between one ship, all the ships, and the corporation that makes the ships. I encourage you to view them all as a single entity.
That goes for the salamanders, too. And maybe the humans! The crew are individuals, but they’re also cogs in the wheel of a military war machine, which grinds toward a particular outcome regardless of the hopes/dreams/desires of each person. So from the perspective of a salamander, or a ship, there may be no practical difference between the people, either.
I’m not a big believer in oh-so-clever arty author devices, because I feel like the worst thing you can do to a reader is remind them they’re reading a book. But if I can slip in something like this without you noticing, I’ll do it.