I'm pretty sure that line of the article didn't mean to imply that we don't know, or aren't sure, only that it goes beyond the scope of the article and isn't directly relevant to the topic at hand.
It's really the last thing that keeps any trustworthy source from recommending switching to linux for gaming without reservation. As soon as you want to play any competitive online multiplayer games, which to my understanding is the vast majority of people, you're going to have problems with some anti-cheat not working on Linux sooner or later.
I'm not saying it's the only thing that stops mass adoption of Linux for gaming, but I think we'd see a massive uptick very quickly, if this problem went away.
According to Wikipedia, there are countably many algebraic numbers, and that makes intuitive sense to me as well. Do you have a source that the set of algebraic numbers is uncountable?
An interesting thing about the quote you highlighted is that it's already true about the set of real numbers itself. The set of real numbers that can be precisely, individually identified is a countable subset of all real numbers. That means the vast majority of real numbers, an uncountable amount of them, can not be individually defined and thought about.
> Maybe it's the idea of a completed infinity that's my problem; maybe it's the fact I don't understand how to define (or forgot cauchy sequences in detail) an arbitrary real.
As someone who also has never fully made his peace with the diagonality argument, but just chosen to accept it as true, as a given, this kind of bumps up against an interesting implication of different cardinalities of infinity.
To precisely define an arbitrary real you'd need some kind of finite string that uniquely identifies that real number. Finite strings can be mapped, 1 to 1, to natural numbers. Therefore there can't be a finite string for any real number that uniquely identifies it. Otherwise we'd have a mapping between natural numbers and real numbers.
In fact, the set of uniquely identifiable real numbers is a countable subset of real numbers. [1]
Somehow, this realization has helped me make peace with the uncountability of real numbers.
[1] Sorry if use words like "unique", "identify", "define" in not quite the right way. I hope the meaning I'm going for comes across.
The promise of privatization of the Telekom was higher speeds and lower prices. The opposite of that happened. This country is now far behind many comparable countries in Internet speed and penetration. And the state, in selling the Telekom, lost the ability to do it themselves when private industry fails. Terrible development.
I've been living in denial about this being a linux specific issue until I saw this post. Eventhough I encounter this problem frequently on linux and it has almost never happened to me on OSX or Windows, I've just been telling myself that it was because of the hardware I was using in each case. If they found a way to fix this, where just the browser froze and not the entire OS, it would be a huge improvement.