We still haven't resolved whether it's possible to construct a complete and finite set of rules that fully describes every possible valid mathematical proof.
open
Mathematics & Logic
Formal proof systems capture enormous portions of mathematical reasoning, but whether a truly complete and finite rule set exists for absolutely every valid form of proof remains philosophically and technically unresolved. This touches the very foundations of what mathematics is capable of expressing.
Team Humans Club. (2026). Problem WS01311: We still haven't resolved whether it's possible to construct a complete and finite set of rules that fully describes every possible valid mathematical proof.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1311