As the people who view this as denigrating and deminishing the work of real people are just as repulsed.
In this case it does. Describe any effective measure to pick a random sample from the interval and you will have cheated into choosing from the computable reals instead (of which there is a countable amount)
Rocq has had similar issues with AI finding soundness bugs, particularly in module code last I checked. Yet they don't even have half the resources of Lean. Rocq is nowhere close in my opinion. Though this is really…
For the highlighted kernel (con-leche) , they postulate a set theory. Godel doesn't get involved because the proof is effectively saying Lean+ZFC entails Con(Lean), but even that isn't quite right, because the kernel…
You think a project that bans LLM contributions completely can be replicated in spirit by those who welcome it?
[dead]
You expect an arxiv only paper to be cited? Do you even know fuck all about scientific research? Do you think someone can slap "Foundations of" in an arxiv title and we are mandated to cite it?
Your claim is still rubissh, as you neglected to interact with the rest of my comment: economic utility does not necessitate all mathematical output directly contributes. You redefine "forgot" to make it falsiable, but…
You bemoan the cherry picked example and counter with an unfalsifiable claim. Certainly we have remembered much more math than Calculus, and much of it has been of practical use. How can we hope to quantity the…
Whataboutism. Two evils are still evil.
Probably yes. Only a handful of mathematicians work on this particular problem, and ALL of them do not exclusively work on this problem, while having administrative and teaching duties. The real issue is we'll never…
No you see people that use AI generally don't bother to consider this unimportant detail. Or they ask the AI to "double check" its work.
??? Look at any conference that publishes mechanized results? You'll see plenty of Isabelle, ACL2, Rocq, Agda. You exist in the pop science bubble. If Lean has done anything it's advertised itself well. It did a good…
It's a great comedy that we move the buck from "I don't trust the human proof" to "I don't trust the Lean proof" despite the level of trust dramatically increasing. Moving to HOL-light might be another modest increase…
Hearing someone say "the future of proofs is Lean" is a bit like hearing someone say "the future of programming is Rust." Sorry to disappoint, or happy to inform, there are hundreds of programming languages actively…
Missing information is different from paying the person who steals information instead of paying the person that produces it. Did you bother to think critically before you replied, or is an AI doing all your thinking as…
So you'd rather give money to the company that stole the copyrighted material of experts and academics instead of giving them money? Sure some textbooks are corporate greed schemes themselves, but many others are just…
You mean that technology that resulted in a massive bubble, wasn't marketed as replacing all labor and giving the rich personal slaves? You mean the technology that enables human communication and creativity instead of…
Horseshit. ~30% of US citizens are happy with this state of affairs. ~30% are completely disengaged, believe ridiculous things like "both sides are the same" or feel like politics doesn't effect them. ~30% voted for…
The software is heavily regulated for medical devices. Saying an MRI machine has bad software seems highly unlikely to me. This is of course different from Epic, but even then as a patient MyChart is really not that bad
Don't bother, Republicans are the only ones that care about the debt and their ideology makes them incapable of realizing there very choice of candidates is the exact problem
This is not the argument. It's not a comparison to gambling but a comparison to something that does not materially improve a person's life. Economic expenditure does not equate to human benefit. This is the original…
Incorrect. The statement in Lean can itself be wrong. Moreover, they could be exploiting a kernel bug in Lean, of which we had one published literally a week ago.
What is absurd is evaluating something on the lines of code it produces. AI psychosis at work.
This is horseshit. Mathlib3 and mathlib4 all existed prior to LLMs. Unimath of Agda, mathematical components of Rocq, the list goes on. LLMs have done nothing for "making large scale mechanization viable." They have…
As the people who view this as denigrating and deminishing the work of real people are just as repulsed.
In this case it does. Describe any effective measure to pick a random sample from the interval and you will have cheated into choosing from the computable reals instead (of which there is a countable amount)
Rocq has had similar issues with AI finding soundness bugs, particularly in module code last I checked. Yet they don't even have half the resources of Lean. Rocq is nowhere close in my opinion. Though this is really…
For the highlighted kernel (con-leche) , they postulate a set theory. Godel doesn't get involved because the proof is effectively saying Lean+ZFC entails Con(Lean), but even that isn't quite right, because the kernel…
You think a project that bans LLM contributions completely can be replicated in spirit by those who welcome it?
[dead]
You expect an arxiv only paper to be cited? Do you even know fuck all about scientific research? Do you think someone can slap "Foundations of" in an arxiv title and we are mandated to cite it?
Your claim is still rubissh, as you neglected to interact with the rest of my comment: economic utility does not necessitate all mathematical output directly contributes. You redefine "forgot" to make it falsiable, but…
You bemoan the cherry picked example and counter with an unfalsifiable claim. Certainly we have remembered much more math than Calculus, and much of it has been of practical use. How can we hope to quantity the…
Whataboutism. Two evils are still evil.
Probably yes. Only a handful of mathematicians work on this particular problem, and ALL of them do not exclusively work on this problem, while having administrative and teaching duties. The real issue is we'll never…
No you see people that use AI generally don't bother to consider this unimportant detail. Or they ask the AI to "double check" its work.
??? Look at any conference that publishes mechanized results? You'll see plenty of Isabelle, ACL2, Rocq, Agda. You exist in the pop science bubble. If Lean has done anything it's advertised itself well. It did a good…
It's a great comedy that we move the buck from "I don't trust the human proof" to "I don't trust the Lean proof" despite the level of trust dramatically increasing. Moving to HOL-light might be another modest increase…
Hearing someone say "the future of proofs is Lean" is a bit like hearing someone say "the future of programming is Rust." Sorry to disappoint, or happy to inform, there are hundreds of programming languages actively…
Missing information is different from paying the person who steals information instead of paying the person that produces it. Did you bother to think critically before you replied, or is an AI doing all your thinking as…
So you'd rather give money to the company that stole the copyrighted material of experts and academics instead of giving them money? Sure some textbooks are corporate greed schemes themselves, but many others are just…
You mean that technology that resulted in a massive bubble, wasn't marketed as replacing all labor and giving the rich personal slaves? You mean the technology that enables human communication and creativity instead of…
Horseshit. ~30% of US citizens are happy with this state of affairs. ~30% are completely disengaged, believe ridiculous things like "both sides are the same" or feel like politics doesn't effect them. ~30% voted for…
The software is heavily regulated for medical devices. Saying an MRI machine has bad software seems highly unlikely to me. This is of course different from Epic, but even then as a patient MyChart is really not that bad
Don't bother, Republicans are the only ones that care about the debt and their ideology makes them incapable of realizing there very choice of candidates is the exact problem
This is not the argument. It's not a comparison to gambling but a comparison to something that does not materially improve a person's life. Economic expenditure does not equate to human benefit. This is the original…
Incorrect. The statement in Lean can itself be wrong. Moreover, they could be exploiting a kernel bug in Lean, of which we had one published literally a week ago.
What is absurd is evaluating something on the lines of code it produces. AI psychosis at work.
This is horseshit. Mathlib3 and mathlib4 all existed prior to LLMs. Unimath of Agda, mathematical components of Rocq, the list goes on. LLMs have done nothing for "making large scale mechanization viable." They have…