Gödel's paradox

Gödel's paradox, often related to his incompleteness theorems, highlights that within any consistent mathematical system, there are statements that cannot be proven true or false using the system's own rules. In simpler terms, no matter how comprehensive a set of rules or knowledge you create, there will always be truths that remain unprovable within that framework. This demonstrates the inherent limitations of formal systems and suggests that there are more truths in the universe than any single system can describe, impacting our understanding of knowledge, logic, and the foundations of mathematics.