Well, everything is math, at some level. Supreme Court decisions might be. There are software packages used to day, using some "AI", to help judges determine the adequate level of punishments looking at circumstantial factors determining recividism rates et cetera [1] [2].
I believe that in the not too distant future there will be pressure to use these "magic" AIs to be applied everywhere, and this pressure will probably not look very hard at whether the AI is good at math or not. Just look at all the pseudoscience in the criminal system [3]. I believe this poses a real problem, so keeping hareping on this is probably the right response.
Trurl's machine, indeed. It insisted that the volume of the unit cube and unit ball are both the same, and 1, in all dimensions, even though it knew the correct formula for the surface of the n-ball.
Wen I pointed out that n=2 is a simple counter example, it refused to talk to me (no answer, try-again button, ad inifinitum). Well, safer than Trurl's machine.
Surely, the extension uses a public API. The extension acts on behalf of the end user. So, I think facebook can ban a particular API key (tied to a packaged extension), but they would have to ban all chrome extensions to get around someone taking the extension source and building their own.
So I think facebook can by disabling the API, but won't do that since there are extension that it does like.
Whether FB has legal grounds to go after users using such an extension would depend on the user terms, which I don't really know. It would be fairly egregious and risky for FB to do so.
But I think if someone were to open source such an extension, this someone probably does not him/herself expose to a legal risk (speaking as a non-lawyer, and not giving legal advice)
I believe that in the not too distant future there will be pressure to use these "magic" AIs to be applied everywhere, and this pressure will probably not look very hard at whether the AI is good at math or not. Just look at all the pseudoscience in the criminal system [3]. I believe this poses a real problem, so keeping hareping on this is probably the right response.
[1] https://www.nytimes.com/2017/05/01/us/politics/sent-to-priso... [2] https://www.weforum.org/agenda/2018/11/algorithms-court-crim...
[3] https://www.bostonreview.net/articles/nathan-robinson-forens...