it is said that G K Chesterton dictated all his works, and that he kept several secretaries on hand to write things up. he would cycle through them, switching continually from one book/article to the next without pause.
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"a man ahead of his time," i type into X, as i switch between dictating book chapters to claude, chat, and grok...
am thinking about what the future of a "math book" should be... heavy on graphics; with interactive elements (e.g. GPT Sites); dynamic references that auto-update N-times-per-year to reflect changes; self-repairing to fix errors...
not paper & not a pdf... maybe a github repo?
amid the angst over what human/ai mathematicians can/should do now, i gave a talk at Penn that framed things in terms of four 20th century eigenmathematicians and their stereotypical styles:
1. erdos -- this is what ai has excelled at; shotgunning results, examples & counterexamples, prolific
2. wiles -- go deep & solve the big-name conjecture; this is where we are now w/openai & anthropic's recent works
3. grothendieck -- build the incomprehensible unpredictable ur-theory that cracks something open and exfiltrates to other areas; this is where all ai-enthusiast mathematicians i know are directing their energies; not quite there yet...
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but the 4th is not a direction i've seen people discuss & it's where i personally want to dig in...
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4. milnor -- find the connections between deep things and weave a story of such clarity & elegance that it changes the field and how people learn it and use it
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this aligns with the "humans will still drive tastes" argument for relevance, which is not yet proven to survive pressure from top models. i suspect that there is, both now and for a spell, room for a creative director to use ai-tools to write the book-of-X (or direct the playlist-of-X) for various values of mathematical X.
prof-g retweeted
Replying to @AndrewCurran_
asked claude to make a breakdown of where the signatories are affiliated. almost a third are french surprisingly, then another third american
prof-g retweeted
The AIs are now the smartest mathematicians in the world. Given how mathematicians have seized control of governments, corporations and the culture, I fear what comes next.
rare fail from @OpenAI -- i have to migrate all my custom-GPT course tutors to "plugins" so that people can continue to use them... but plugins are not publicly shareable. i've got thousands of students relying on these to help with their courses... custom GPTs were amazing...

















