Sagalov's theorem

Sagalov's theorem, in the context of general knowledge, addresses the limits of what we can know or prove in a formal system. It essentially states that in any sufficiently complex system of knowledge, there will be true statements that cannot be proven within the system itself. This idea highlights the inherent limitations of our understanding and formal reasoning, suggesting that no single system can capture all aspects of knowledge. Thus, some truths exist beyond formal proofs, encouraging us to seek knowledge from various perspectives and disciplines.