zero-sharp

ah yes, because every instance of "abuse", even towards inanimate objects, has to be re-framed into the hypothetical abuse of a woman. Maybe we should ban the film Office Space because destroying a printer is one step away domestic violence.

>But you know, I am just honored to be in the presence of a soon-to-be Nobel prize winner. When are you going to publish your findings proving that Claude (or even a ruler) has or doesn't have feelings?

you're a total asshole. I have to publish my findings that a ruler doesn't have feelings? Nobody should have to respond to this because it's bullshit.

>2. Humans shouldn't exercise abusive impulses in general

totally absurd to even try to make this argument. Good job at trying to preemptively discourage people from responding to you though.

I'm not sure if AI use even aligns with the purpose of the university program, which is usually understanding.

Isn't that the same point piracy advocates have been making for a while? If I watch a pirated film, I didn't really consume a physical resource. Nothing physical is lost. Therefore it's not theft?

>Learning isn’t stealing.

This is cheesy. There is an exposure to (and a gain from) a resource that is traditionally associated with a cost. That cost wasn't paid. It's a public good to have information available, but it's not really acceptable to circumvent established ways of compensating the creator of the work you're benefiting from.

I think they spent millions pursuing strategies to attack that particular problem? I don't think it takes 15 million for their model to get trained on your chat logs. This is probably all automated internally. If they did scoop your ideas, it would likely get incorporated into their model without any conscious decision making. And if you're not a high profile academic, nobody will hear about it.

Moving forward, I can't imagine other mathematicians wanting to have this kind of experience. So there has to be a shift away from these services.

there's this saying... something about the ends and the means. someone help me out here

I mean, yes, there are a lot of things that are often omitted in mathematical writing and it's up to the reader to infer them (that's "mathematical maturity"). When textbooks discuss intervals, such as [a,b] for example, should the author specify the interval is nondegenerate/nonempty each time? That is, should we repeatedly see "a<b" as part of the hypothesis? Degenerate cases are often not the primary interest of the particular area or theorem you're studying. We don't usually care about functions with empty or singleton domains. And, yes, you could say a lot of results are technically false due to those degenerate/trivial cases. But usually it just means the author didn't want to clutter their writing, or it's not significant to the rest of the theory.

The post proposes a counterexample of a function with a empty domain A. Some authors do actually specify that the domain should be nonempty in this theorem. This is a common result. Others authors don't. It's not a huge deal.

yea this is something I've been wondering about. I'm not too keen on the finance aspect, but I understand that the big players aren't turning a profit. OpenAI is still losing money. I've seen some discussion related to increased token costs. If that continues, isn't dependence on their services a risk?

Yes I think so too. It wasn't CO2, but methane in the form of methane hydrate.

I remember watching a documentary which talked about feedback loops in the climate. It might have been in the context of history. If the ocean warms up enough, it causes the CO2 in the ocean itself (either in the deposits or the gas saturated in the water) to get released into the atmosphere. Maybe I'm not using the right technical words, but there is a certain amount of CO2 that sits within the ocean that is separate from the atmosphere. In any case, after a certain point it becomes a feedback loop: warmer climate -> more CO2 joins the atmosphere -> warmer climate.

>If they are truly rare, then they are likely not valuable,

Sometimes I don't even know how to respond to comments here. I don't want to be rude, but you just have to give this a moment of thought. Is all the media that you find valuable common? I know that's not the case for me based on my own experience.

I think the argument for pi should be somewhat straightforward since people usually do trigonometry in high school? I don't know an argument for e that doesn't involve some kind of calculus.