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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 still haven't resolved whether every infinite set of numbers must have a size that matches one of the specific mathematical infinities we've already identified.

open Global / Unspecified, Global

The Continuum Hypothesis asks whether there's a size of infinity strictly between the countable and uncountable, and it has been shown to be independent of standard mathematical axioms. This unresolved question touches the very foundation of set theory.

whether set size mathematical haven mathematics-logic

WS01263 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01263 Title: We still haven't resolved whether every infinite set of numbers must have a size that matches one of the specific mathematical infinities we've already identified. URL: https://worldsolve.org/index.php?api=problem&id=1263