man - man + man = woman
woman - woman + woman = man
=> man = woman
> Your assumptions about invertibility etc don't hold in this world
Yes? Thats what I've said lol. That's what the above example shows. THAT WAS THE ENTIRE POINT
> So an example: a maps to [1,2,3] and b maps to [1,2,3] . Again in practice b could map to [1,2,3.0001] or something.
>>>>>>>>>> Floating point arithmetic is not associative.
I'm glad you finally decided to agree with me. But it would have been a lot faster had you actually read my comments.
Except you were suggesting it's due to the definition of +, and your silly, irrelevant rant about abstract algebra started when I noted it's plain old addition.
It holds for integers too, floating point arithmetic quirks are irrelevant.
You are applying a bunch of ideas that are irrelevant because you don't have any idea how embedding models actually work.