As far as I can tell, the article isn't really of any interest either.
Formulating a proposition that is independent of standard axioms is simple. Formulating it in the language of machine learn is an exercise. The main thing is the authors didn't provide any motivation for this to matter to the overall enterprise of machine learning, because there isn't motivation for this. It's just a novelty.
I don't understand your reasoning. Because, you could also "formulate" CH in the "language" of Turing machines. But that is clearly disanalogous to what the article is saying.
As someone who isn't in the know, I found this[1] Forbes article about the journal. Forbes portrays the opposition as opposing the fact that it's a closed access journal, but are there other points of contention that weren't reported in the article?
That's enough. ML research is posted on arxiv and presented in open conferences. You can paywall your slide deck but not your paper. If pay-to-play journals get even an inch, they'll try to take everything.
Last time I checked, fees for participating in ML related conferences are very high (compared to registration fees for conferences in academic fields with less hype). This makes them less open because cost is a financial barrier to participation.
Also, if you live outside USA/Europe, let's go to a important conference may be a few thousand of dollars more expensive that sending an email to the editor with the draft of the paper.
i.e. Why should people have to pay to view the results of what is often publicly funded research? Even more so why should researchers have to pay to publish work that the publishers profit off of but the researchers don't.
Because being a peer reviewer shouldn’t be done for free? Do you like being paid to work? Because Nature has established themselves as a premier journal over the the past 150 years and are known for their quality?
Peer review is not paid work. Mostly it is done as an overhead that is understood as part of being an active researcher.
I would even venture to say that most researchers will be against the idea of paid reviews, just like Amazon found out that paid product reviews are a very bad idea.
The premiere journal in Machine Learning, the Journal of Machine Learning Research (JMLR), has existed in this format since 2001. It is explicitly mentioned in the petition for the boycott: https://openaccess.engineering.oregonstate.edu/
Which would also explain why Nature wrote this publicity piece on it. I can only hope that ML researchers show the rest of academia the way out of publishers' hands.
Reflects poorly on the authors, regardless of the actual merits of their finding.