The terminal is dead. Most developer tooling will be washed away by tokens. Shells, text editors, CLI tools won’t be used by humans anymore. There’s no need to know command line flags and jq invocations anymore.
the math community needs to adopt a version of the ethical standards of experimental science. If you are using AI agents, you can't just give a proof (formalized or not), but need to also provide a detailed explanation of how these agents were used to get the result.
I’ve written about the people familiar with the matter pattern before—it means Reuters have anonymous insider sources that their reporters (and editors) find credible.
Astra is a remarkable piece of technology. Earlier agents often tried to dampen my ambitions—they’d push me to do “pilots” or “proofs of concept.” Then agents started meeting my ambitions. Astra is the first agent that routinely raises my ambitions. I encourage you to try it!
An excessively AI-polished proof may sand away both the "artificial" friction (typos, awkward phrasing, disorganization) and the "natural" friction, leaving a text that is easy to read and hard to learn from.
basically the idea is like the IDE of the future needs to be rethought from the ground up for agents. And it might not even be a like I don't know a lot of editors kind of started with the text field and bolted on an agents tab.
Despite these strides, we argue that current AI4Math systems still largely operate as solvers, excelling at isolated, well-defined proof generation rather than as researchers capable of expanding the boundaries of mathematical knowledge.
One is that the LLMs are getting increasingly good at writing these proofs. And if we don't have to write the proof by hand as humans, it just becomes feasible to do them in situations where previously it would have not been economical.
But also LLMs increase the need for these formal proofs because, you know, we're live coding a bunch of stuff. If we have to manually review all of that code, then that will become the bottleneck.
After many years, Sublime Text remains one of my favourite code editors. I still often use it to edit huge files or to make heavy edits through its powerful find and replace feature.
Over the past few decades, journal editors and peer-reviewers have increasingly insisted that papers must present large datasets that have been treated using complex statistical methods in order to make even the mildest claims about what caused what.
Eventually, I think it’s kind of hard to imagine, but yes, all of these Nobel Prizes, all of these mathematical proofs, all of these conversations, all of these ideas, all the influence we have on each other, even the AI, eventually will expire.
But there are other parts of programming languages that are not subjective but should be fundamental. And when you look at type systems, there is a way to do type systems that gives you mathematical proofs. And every other way of type systems that doesn't give you mathematical proofs is just worse and should ultimately be rejected.
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