We don't know whether every possible infinite mathematical object can be fully represented using a finite amount of information without any loss of detail.
open
Mathematics & Logic
Some infinite objects can be perfectly captured by finite descriptions, like certain repeating decimals, but many others resist any such finite representation, and the full boundary between the two remains incompletely mapped. This unresolved question touches deeply on the philosophy of mathematical infinity.
Team Humans Club. (2026). Problem WS01352: We don't know whether every possible infinite mathematical object can be fully represented using a finite amount of information without any loss of detail.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1352