Gödel's incompleteness theorem
- 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
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018