AI Reveals Insights Hide in the 'Convex Hull' of Existing Ideas — and Science at Large Is Next
soumitrashukla9 · x · 2026-10-08
Jabaluck argues mathematicians are discovering many insights lie in the "convex hull" of existing ideas, and the rest of science will learn this lesson at even more dramatic scale. Few realize how inefficient the pipeline from theoretical innovation to practical use is. Early GPT made finding existing knowledge easier, but finding a theorem isn't the same as recognizing it offers a radically new way to conceptualize a problem — that requires cross-field expertise almost nobody has. Applied researchers are unaware of theoretical tools, and theorists don't grasp applied problems.
More from AGI Musings
- Conscious Turing Machines Model Pain but Don't Feel It, Argues Dietterich — tdietterich · 2026-10-08
- Does AI Feel Pain? Dietterich Uses Painkillers as a Litmus Test for Machine Suffering — tdietterich · 2026-10-08
- Why Ghost in the Shell feels quaint now: it still has an individual with a body — lfschiavo · 2026-10-08
- Topology professor laments OpenAI scooped 'the most important problem in his area' — ctjlewis · 2026-10-08
- Launch posts call it a mind, deprecation notices a legacy endpoint: AI's double vocabulary — RileyRalmuto · 2026-10-08
- When formal verification outpaces intuition: a library of proven theorems nobody fully understands — tallmetommy · 2026-10-08