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← When formalising a proof costs no more than writing it, mathematics…

17 connected korrents · 15 moments from 21 Jan 2019 to 24 Sept 2026.

Everything filed under formal proof formal proof Everything filed under mathematics mathematics Everything filed under code generation code generation Everything filed under AI and science AI and science Everything filed under AI agents AI agents Rests onSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subjectSame subject Read this korrent: When formalising a proof costs no more than writing it, mathematics will flip: papers written in Lean first, and journals refereeing only for significance because correctness is certified. When formalising a proof costs no morethan writing it, mathematics will flip:papers written in Lean first, and journalsrefereeing only for significance becausecorrectness is certified. Last stated a year ago 14 Jun 2025 TT Terence Tao — holds since 2025-06-14 — tap for who they are Rests on: Formalising a proof in Lean currently takes about ten times the effort of writing it out: doable, but annoying. — tap to centre the map on it Formalising a proof in Leancurrently takes about ten times theeffort of writing it out: doable,but annoying. Last stated a year ago 14 Jun 2025 TT Terence Tao — holds since 2025-06-14 — tap for who they are Same subject: AI-written code makes formal proof necessary, because human review of all that generated code becomes the bottleneck. — tap to centre the map on it AI-written code makes formal proofnecessary, because human review ofall that generated code becomes thebottleneck. Last stated 6 months ago 22 Apr 2026 MK Martin Kleppmann — holds since 2026-04-22 — tap for who they are Same subject: Formal verification is about to become economical, because models are getting good enough at writing the proofs that humans no longer have to. — tap to centre the map on it Formal verification is about tobecome economical, because modelsare getting good enough at writingthe proofs that humans no longerhave to. Last stated 6 months ago 22 Apr 2026 MK Martin Kleppmann — holds since 2026-04-22 — tap for who they are Same subject: Full formal verification is a waste of money for most software: near-perfect is reachable with ordinary techniques at a fraction of the cost. — tap to centre the map on it Full formal verification is a wasteof money for most software:near-perfect is reachable withordinary techniques at a fraction ofthe cost. Last stated 8 years ago 21 Jan 2019 HW Hillel Wayne — holds since 2019-01-21 — tap for who they are Same subject: Nuclear power plants, the standard example of software that must be proved correct, do not care about formal verification: thorough testing is enough for them. — tap to centre the map on it Nuclear power plants, the standardexample of software that must beproved correct, do not care aboutformal verification: thoroughtesting is enough for them. Last stated 3 months ago 29 Jul 2026 HW Hillel Wayne — holds since 2026-07-29 — tap for who they are Same subject: A persistently rising dividend yield eventually forces capital appreciation as the market rerates the stock. — tap to centre the map on it A persistently rising dividend yieldeventually forces capitalappreciation as the market reratesthe stock. Last stated 8 months ago 3 Mar 2026 SB Sanjay Bakshi — holds since 2026-03-03 — tap for who they are Same subject: A proof and an explanation are different things, and a theorem can stay an unsolved expository problem long after it is proved. — tap to centre the map on it A proof and an explanation aredifferent things, and a theorem canstay an unsolved expository problemlong after it is proved. Last stated 4 months ago 30 Jun 2026 GS Grant Sanderson — holds since 2026-06-30 — tap for who they are Same subject: A stream of AI-written papers with any error rate at all becomes insufferable, because finding the error costs more than the paper is worth even at ninety-nine percent. — tap to centre the map on it A stream of AI-written papers withany error rate at all becomesinsufferable, because finding theerror costs more than the paper isworth even at ninety-nine percent. Last stated 4 months ago 30 Jun 2026 GS Grant Sanderson — holds since 2026-06-30 — tap for who they are Same subject: A tossed coin is more likely to land on the same face it started on than on the opposite face. — tap to centre the map on it A tossed coin is more likely to landon the same face it started on thanon the opposite face. Last stated 4 weeks ago 24 Sept 2026 TH Tim Harford — holds since 2026-09-24 — tap for who they are Same subject: A compound's AI origin story is not by itself a reason to expect it to do better in the clinic. — tap to centre the map on it A compound's AI origin story is notby itself a reason to expect it todo better in the clinic. Last stated 2 years ago 13 May 2024 DL Derek Lowe — holds since 2024-05-13 — tap for who they are Same subject: A computational discovery platform does not make a biotech fast, because the thousand other steps of drug development are still the bottleneck. — tap to centre the map on it A computational discovery platformdoes not make a biotech fast,because the thousand other steps ofdrug development are still thebottleneck. Last stated 2 years ago 17 Sept 2024 AT Alex Telford — holds since 2024-09-17 — tap for who they are Same subject: A computational method can regularly predict protein structures with atomic accuracy even when no similar structure is known. — tap to centre the map on it A computational method can regularlypredict protein structures withatomic accuracy even when no similarstructure is known. Last stated 5 years ago 15 Jul 2021 DH Demis Hassabis — holds since 2021-07-15 — tap for who they are Same subject: A model can now port essentially any codebase from one programming language to another, work that used to take a team over a year. — tap to centre the map on it A model can now port essentially anycodebase from one programminglanguage to another, work that usedto take a team over a year. Last stated 3 months ago 27 Jul 2026 BC Boris Cherny — holds since 2026-07-27 — tap for who they are Same subject: Agents are the new compilers that compile intent into fast software. — tap to centre the map on it Agents are the new compilers thatcompile intent into fast software. Last stated a month ago 12 Sept 2026 GR Guillermo Rauch — holds since 2026-09-12 — tap for who they are Same subject: AI acceleration threatens 'less software': without the constraint of scarce hours, even 37signals will likely build too much. — tap to centre the map on it AI acceleration threatens 'lesssoftware': without the constraint ofscarce hours, even 37signals willlikely build too much. Last stated 3 months ago 26 Jul 2026 DH David Heinemeier Hansson — holds since 2026-07-26 — tap for who they are Same subject: A collection of AI agents does not automatically form a functioning organization any more than a group of smart people does. — tap to centre the map on it A collection of AI agents does notautomatically form a functioningorganization any more than a groupof smart people does. Last stated 5 months ago 21 May 2026 RK Rohit Krishnan — holds since 2026-05-21 — tap for who they are Same subject: A company cannot be led by machines, because nobody would have recourse against them. — tap to centre the map on it A company cannot be led by machines,because nobody would have recourseagainst them. Last stated a month ago 15 Sept 2026 TL Tobias Lütke — holds since 2026-09-15 — tap for who they are
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At the centre When formalising a proof costs no more than writing it, mathematics will flip: papers written in Lean first, and journals refereeing only for significance because correctness is certified. Last stated 14 Jun 2025 · a year ago Holds Terence Tao Read this korrent →