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
Global / Unspecified, Global
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.
Citation ID: WS01352
Title: 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.
URL: https://www.worldsolve.org/index.php?api=problem&id=1352