Teorema de Gödel

Gödel's Incompleteness Theorem states that in any sufficiently powerful mathematical system, there are true statements that cannot be proven within that system. Essentially, no matter how complete and consistent a set of rules is, some truths will always lie beyond its reach. This reveals inherent limits to formal systems trying to capture all mathematical truths, highlighting that some truths are unprovable within those systems, and emphasizing the intrinsic complexity of mathematics.