The word "their" is overloaded, it could mean "thing I have the legal right to", or, "thing I have in my possession right now".
The latter condition is clearly true. It's their data.
If you pretend the other definitions of possession don't exist and claim "aktually it's not theirs they don't have rights to it" then that's on you for faking an incomplete understanding of language.
It’s only the former definition that would allow an AI model to have been trained on someone else’s data
There are yet more definitions of "theirs". For example, data whose provenance can be traced back to Anna's Archive.
So the data is legally owned by the book authors, possessed by Anna's Archive, and downloaded for training usage by the AI companies. Every person in that chain could, linguistically speaking, correctly refer to the data as "theirs", or refer to the data of a different entity as "theirs".
Regardless, digital file possession and ownership doesn't map cleanly to our language. I technically don't own any Kindle books I buy, I can't share them, yet I clearly have access to an ebook. So I both do and don't currently possess said book.
You are being granted a license to use the data.
But no one else is obligated to ignore the definitions of words that you're choosing to ignore, so the rest of us will go on saying it's their data.
We're not talking abstract language concepts, this is a specific case. The data was taken without license/rights/approval. It's stolen. AA calling it "our data" is disingenuous. Legally it isn't theirs. While you could use "ours"/"theirs" loosely in English, they knew it wasn't true in a legal sense when publishing this.
Possession is 9/10 of the law - if you have a copy, you have possession, and thus you have SOMETHING and LEGALLY it is considered yours (now whether you legally obtained it is a different story and THAT is where charges stem from.)
If capitalism was capable of actually preserving the knowledge of humanity, we wouldn't need things like Anna's Archive.
