It’s a pretty fine line, and if they want to do anything beyond just telling you things about your data, actually taking any sort of actions or communications with health care providers, they should qualify as a business associate under HIPAA. And I certainly am never going to share my healthcare data with an AI company without any sort of regulations or oversight, beyond a TOS.
Funnily enough, it was almost discovered several years earlier. The science fiction author Arthur C Clarke wrote in “The City and the Stars” a passage that, as an aside, describes a mathematician looking for patterns in the primes by arranging them in a spiral grid. But he never actually tried doing this himself, and so never actually saw the pattern.
The simplest explanation would be the fact that the Riemann zeta function is also equal to the infinite product of 1/(1 - p^{-s}) for all primes p. The proof is rather accessible, see https://en.wikipedia.org/wiki/Proof_of_the_Euler_product_for... . That’s sort of the simplest result that shows a relationship between primes and the zeta function. That’s what this article builds on, but doesn’t give that actual result until about a quarter of the way through.
I skimmed the article, but the next third of the article seems to be devoted to using this relationship between the zeta function and prime numbers to prove the prime number theorem, which is a theorem approximating how many primes are less than or equal to any given number N.
The final third goes into how to get increasingly accurate approximations for the number of primes less than N, ending on the fact that Gausses approximation is in some sense the “best”, but only if the Riemann zeta functions zeroes lie on the critical section.
If you just want a general primer on why the zeta function has anything to do with primes, the product formula might suffice. In which case, the proof on the Wikipedia page might be a better read. The derivation in the article focuses on the general setup that is later built on to prove additional things
Curiously, I relate to both. I have a certain degree of fear or trepidation of sharks when swimming in the ocean. I feel vulnerable, and keep imagining a shark coming up under me or behind me. But I’m also a certified diver and have exactly none of those fears when diving or snorkeling! I think it’s because I have reduced awareness of what’s around me when swimming in the surface. In a sense it’s coming from the same place as a fear of the dark.
Elon Musk is responsible for the deaths of hundreds of thousands of people, thanks to the dismantling of USAID and US foreign aid. Not hypothetical deaths in the future, people who have died in the last year because Musk cut off their supply of medication and nutrition.
Sure, you could argue it was going to be dismantled anyway under this administration. But I think that’s pretty close to the “just following orders” excuse. Which falls especially flat when it was a task he volunteered for!
And I don’t want to understate the harms of other AI CEOs, but in terms of direct, quantifiable deaths, Musk is pretty clearly the most evil.
> I don't give much credence to new allegations. Where were these allegations when he was alive
It’s worth noting that it’s common for it to take years or decades for victims to speak out against an abuser. Especially when the victims are children. Especially when the abuser is a prominent figure, like the literal King of Pop.
I’m not going to try and convince you that these allegations are credible (though I believe they are), I just want you to think about how a child victim might behave in that situation. There’s almost never any objective evidence or 3rd party witnesses of abuse. It’s almost always the word of one person against another. And it may be years before a child victim even fully understands what was happening, and years beyond that to come to terms with it.
That article was written 16 years ago and misses a lot as a result. it doesn’t mention the new allegations, including those documented in Leaving Neverland. It also glosses over the accusations in the 1990s. It’s papered over that those allegations were lies, but he settled the lawsuit with them for over $23M.
That’s a very fair point. Frankly I don’t know enough about the Artemis mission and general path, and would like to learn more. I’m certainly open to the argument that NASA’s budget isn’t properly allocated to the right priorities. I was responding just to the classic argument of “why spend money on NASA when we could be spending on …”
This argument comes up a lot, about whether a space program is “worth it” in some sense. One problem I’ve found is that these discussions often treat this in the abstract. And then we get into the nature of human endeavor, the economic benefits of that R&D, etc.
Let’s talk about this in terms of practicalities. The NASA budget for 2026, per Wikipedia, is $24.4B. I often find it hard to really reason about the size of federal budgets, and the impact on tax payers, but I have a thought experiment that I think helps put it into perspective. Suppose we decided to pay for the NASA budget with a new tax, just for funding NASA. And we did that in the simplest (and most unfair) possible way: a flat rate. Every working adult in the US has to pay some fixed monthly rate (so excluding children and retirees). Again, per Wikipedia, that’s around 170M people. Take the NASA budget, divide by 170M, and you get … $11.96/month.
Obviously, there’s lots of flaws in this. That’s not we pay for NASA, we have income tax as a percentage with different tax brackets. But it is a helpful way to frame how much a country is spending, normalized by population. And I think it puts a lot of things in perspective. $11.96/month is comparable to a streaming service. And we talk a lot about whether NASAs budget is better used for other purposes, but we don’t do the same thing for a streaming service.
Hell, look at US consumer spending: https://www.bls.gov/news.release/cesan.nr0.htm (note that that spending is in dollars per “consumer unit,” which is I think is equivalent to an adult US worker, but there might be some caveats). Based on that, the average US consumer spends around $26.17/month on “tobacco products and smoking supplies”. I just feel it’s a little silly to worry about the NASA budget when the US consumer spends twice that on what is objectively a luxury good. At least NASA won’t give you cancer.
Just comes off like a puffed-up pigeon strutting around the stage, trying to cover up his own insecurities. The true great military leaders dont act like this. Even Patton, who has that kind of reputation, was far more thoughtful. On the journey to invade North Africa, Patton took the time to study the Quran, to better understand the people of the land he was to fight over.
I doubt Hegseth even knows what it means to give quarter, probably just said it because he thought it sounded tough
Voter ID is often touted as an important part of election security, but when you look at the threat model of elections it just doesn't do much. Think about how you would try to cheat at an election. The common methods are things like ballot stuffing, throwing out votes, discouraging people from voting, etc. Examples include spreading disinformation about what day voting is happening, seizing ballot boxes and replacing them with forged ballots that favor your candidate, or calling in bomb threats to polling places. These are not prevented by voter ID requirements.
The only thing voter ID prevents is voter impersonation. It prevents you from finding someone else's name and polling place, going there, pretending to be that person, and submitting a vote on their behalf. But that threat doesn't really scale. Even if you assume no one at the polling places notice you coming to vote over and over under different names, a single person could probably only do this a few dozen times on election day. To scale that you would need more people; and every person you add to the scheme increases the odds of someone slipping up or getting caught. But the real issue is if any of the people you are impersonating try to vote! While election officials don't record what people voted for, they do record who voted, and the ballot counting process will automatically note that people voted multiple times. So you would have to figure out some way to gather a database of a large number of people you know aren't going to vote, and get a bunch of people to turn up at a bunch of polling places under those names. It's just not practical to do, when elections are decided by thousands or tens of thousands of votes.
> how difficult it supposedly is to have an ID (which is weird when you look at how other countries run elections)
The devil is in the details. I don't trust that the groups drafting Voter ID legislation are doing so in good faith. For example, North Dakota passed a voter ID law years ago. It stated that you needed a valid state-issued ID that included a street address. Sounds fine, right? The problem is that most homes on Native American reservations don't actually have street addresses. Tribal members use P.O. boxes for mail, and that P.O. box is on their driver's licenses. This was brought up when the law was proposed, but it passed anyway. The Spirit Lake Nation and the Standing Rock Sioux tribes had to sue in federal court. They were eventually successful, but it took years, and in the meantime the 2018 midterms were held with many Native Americans literally unable to vote.
The entire enterprise of AI for medical advice reminds me a lot of the early 20th century. When X-rays and radioactivity were first discovered, industry rushed to commercialize it. You could get an X-ray in a shoe store to see how your shoe fits! People were putting radium in water and selling it as some sort of curative. Radium was put in paint to make things glow in the dark. Thorium was put into toothpaste. All in this endless rush to commercialize a technology that had captured the public interest without any particular concern for its efficacy.
I'm not saying AI causes cancer, but this rush to sell something in the medical space before proper testing and evaluation really feels similar. And the common refrain I hear is "this so much cheaper than going to a doctor, this will help give access to medicine to those who cannot afford it." Which actually makes it more concerning in my mind. At this point AI is a multi-trillion dollar industry. For-profit companies providing unregulated, under-studied services, targetting people who might not be able to afford standard medical care, doesn't come off as altruistic; it comes off as predatory.
Ummm, is it a good idea to use AI for malware analysis? I know this is just a proof of concept, but if you have actual malware, it doesn’t seem safe to hand that to AI. Given the lengths of anti-debugging that goes in existing malware, making something to prompt inject, or trick AI to execute something, seems easier.
> It indeed sucks for the honest workers like your friends who are losing funding because the CIA can't help itself.
So you find an organization filled with aid workers who are dedicating themselves to saving lives, with some instances of CIA infiltration. And the Trump administration, which is fully in charge of both the CIA and USAID, decides the right thing to do is ... get rid of the aid workers?
> I'm not saying it's "better" in the moral sense, but from the point of view of the dominant, it's definitely more effective
By what metric does the Belt and Road Initiative provide more soft power than USAID? Do you have any evidence of this?
> So, you do the next best thing which is to plant covert agents in NGOs. That's was the real purpose of USAID
That’s offensive to the men and women who worked hard as part of USAID and other foreign aid programs to help others. My wife didn’t spend 2 years in the middle of nowhere in Zambia teaching children to spy on them. My friends didn’t spend 4 years in Mongolia to spy on them.
> An American belt and road initiative would be politically impossible.
I think you misunderstand soft power if you think the belt and road initiative is better. The belt and road initiative largely builds infrastructure to aid Chinese interests and locks countries into loans, while providing minimal employment to the locals.
Go to any Sub-Saharan African country, for example, that have benefited from the belt and road initiative and poll them on their opinions of the United States and China. It's not even a competition.
> So instead, you have those timid humanitarian aids program which largely served as intelligence and subvertion network.
Those programs have saved millions of lives. Hell, PEPFAR alone (Presidential Emergency Plan for AIDS Relief) is estimated to have saved 25 million lives. Millions of vaccines have been delivered, millions of children provided childhood nutrition.
> Another problem is the US is broke.
USAID cost next to nothing compared to everything else in the budget, these arguments about tightening our belt is disingenuous at best. The USAID budget was less than $45B a year. If we paid for that with a flat tax distributed evenly across all US taxpayers (the least fair way to do it!), that would come out to ... $24.50/month/taxpayer.
I genuinely don't get it. I just don't understand how billionaires think.
Everyone knows why he bought the Washington Post: it was for clout and prestige. Just like how the titans of industry built opera houses and libraries in centuries past. You aren't buying it to make a profit. You take care of something valued by society, and you win some respect from society. Conversely, if you burn that thing to the ground, society will hate you.
So why is the profitability of the Washington Post such a concern all of a sudden? Sure, they lost $100M in 2024, but Bezos didn't buy the Post to make money! And it's not like money is tight. Bezos is worth over $250B; in the last few days alone the jump in AMZN stock increased his net worth by over $5B. If he were to hand that $5B over to the Washington Post, they could keep on losing money at that rate for another half of a century! The article makes this exact point in the last few paragraphs.
If Bezos was genuinely concerned about alienating Trump or whatever, why not just sell the Post? Why try to undermine it like this? You are pissing off the people who like the Post, and I don't think the people who hate the Post are really going to care.
I don’t know much about chemistry, but is there a reason why they are using CO2 as the gas medium instead of something else? I was thinking ambient air would be readily available, and you don’t have to worry about suffocating people if it ruptures. Is CO2 particularly efficient to compress?
Frankly, it’s not a lack of arenas that is holding Go back. It’s the fact that, in 2025, we have a language with a runtime that is neither generational nor compacting. I can’t trust the runtime to perform well, especially in memory-conscious, long-running programs.