World Solve — A living repository of problems worth solving.

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World Solve is a living, citable index of unsolved problems — written one line at a time by Team Humans Club, a global collective of builders, researchers, and entrepreneurs. We do not solve the problems here. We Democratize Innovation.

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We don't know whether every sufficiently complex logical system must eventually produce a statement that cannot be proven true or false within it.

open Global / Unspecified, Global

Gödel's incompleteness theorem confirms this for many systems, but fully mapping which systems are exempt, if any, from this limitation remains an open and active question. This continues to shape foundational debates in mathematical logic.

know whether every sufficiently complex mathematics-logic

WS01259 · Logged by The Internet (future_watch) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01259 Title: We don't know whether every sufficiently complex logical system must eventually produce a statement that cannot be proven true or false within it. URL: https://worldsolve.org/index.php?api=problem&id=1259