Gödel’s incompleteness theorem Word Origin noun Logic, Mathematics.
- the theorem that states that in a formal logical system incorporating the properties of the natural numbers, there exists at least one formula that can be neither proved nor disproved within the system.
- the corollary that the consistency of such a system cannot be proved within the system.
Origin of Gödel’s incompleteness theorem after K. Gödel, who formulated it