The First Incompleteness Theorem states that in any consistent formal system that is capable of expressing basic arithmetic, there are statements that cannot be proven or disproven within that system. This theorem reveals the inherent limitations of formal systems and indicates that no set of axioms can capture all mathematical truths, linking closely to the foundational aspects of axioms and postulates.
congrats on reading the definition of First Incompleteness Theorem. now let's actually learn it.