That puts a timer on any planet as well, without intelligent life all the building stones for life will keep getting buried and then life will basically end because life doesn't find a way to dig it up from thousands of meters underground.

Yes, but most people also come to the same pretty naive conclusions separately and then it looks like they just copy each other. It is pretty hard to tell the difference between low effort thinking and parrots.

This isn't a contest, both can be evil.

You don't know about Tiananmen Square massacre? People thought China was evil even when they were dirt poor after their failed communist experiment.

You probably meant "threat" here instead of evil, and then it is obvious why nobody saw them as a threat when they were poor and weak, but now that they are big and strong people see them as a threat since they haven't exactly left their evil ways behind.

They would likely follow a similar path as Russia or Japan, Russia is pretty far from western Europe already so ideas took longer to get there so they modernized much later, and we can see how that turned out. Russia being so oppressive and rotten were very vulnerable to any sort of modern ideology and fell to communism, that sort of transition was inevitable for these countries, Russia tried to delay it and it was forced upon them, Japan saw the writing on the wall and made the transition deliberately etc.

That India and China were so easy to conquer for Europeans shows the rot in those societies, both in refusing to adopting the superior European technology and by continuing to oppress their own people to such a degree that their people didn't really care much about a foreign power replacing their old tyrants.

Google makes AI profits, its in their breakdowns. And Google has been releasing models every few weeks now, they have a faster iteration pace than the competitors, so they fixed that, they wont be behind in coding models any longer.

Capitalism means separation of violence from capital, if capital controls violence then its not capitalism because there can only be a free market when guns that can't be bribed with money protects it.

For example in communism capital control violence, that is why its so bad, since when capital controls violence it no longer need to produce good results to thrive, it can just use force, which is how every communist regime acted.

In anarchy capital also control violence, so its not capitalism, since without a state to prevent capital from hiring thugs to force others into submission you don't have a free market, whoever has the most thugs wins.

Switzerland already voted against immigration once before in 2014, EU punished them for it and they walked it back quickly. No larger catastrophe happened.

I don't see what would break if for example Netherlands copied Swiss direct democracy.

This also applies to men, so is it a white matriarchal system oppressing men and minorities?

I have published mathematics so I do value knowledge, but for most of mathematics the value of the knowledge isn't the thing you try to prove it is all the things you learn as you try to prove it. p = np is one such thing.

So the whole interesting bit about it is the proof, not the fact.

Mathematicians even argue which axioms we should have, it isn't objective in the slightest, mathematics is therefore very closely linked to our feelings and intuition. Remove that and you just have formal logic, a very different field.

When you have full AGI of course you no longer need humans to understand math.

> Imagine if humans couldn't understand multivariable calculus, but we had access to an AI system that developed it

Developing multivariable calculus requires much more than just solving problems though, it requires defining an entirely new system and space. That is not the situation mathematicians face today, modern AI cannot do that.

When talking about mathematicians and AI don't use fictive examples, we can look at what AI can do today and extrapolate that they can do more of that tomorrow, that is what we have to work with.

In the case you posit where AGI exists there is no reason to even discuss what is left for humans to do, since AGI is defined as when humans are no longer needed for anything, the AGI can do every bit of thinking humans can.

For what? Which product becomes better if it is correct?

You would need an algorithm that finds solutions, not just a proof they exist. So the value here would almost entirely come from how you proved p = np, since that proof will probably be the first step towards finding the polynomial solutions. But if humans don't understand it good luck finding any.