We haven't resolved whether it's possible to fully classify every possible way a mathematical object can fail to have a well-defined size or measure.
open
Mathematics & Logic
Some sets in mathematics resist having a consistent notion of size under standard rules, and a complete classification of every such case remains an unresolved and active area of measure theory. This connects to foundational questions about the nature of mathematical infinity.
Team Humans Club. (2026). Problem WS01321: We haven't resolved whether it's possible to fully classify every possible way a mathematical object can fail to have a well-defined size or measure.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1321