Image for Tarski's theorem on the undefinability of truth

Tarski's theorem on the undefinability of truth

Tarski's theorem states that in a sufficiently complex language, like that of natural language or mathematics, it is impossible to create a single, consistent definition of "truth" within the same language. In other words, you cannot fully and accurately define what makes a statement true using only the language you are trying to verify. This is because any attempt to do so leads to contradictions or incomplete definitions. The theorem shows that the concept of truth must be handled outside the system or in a higher-level language to avoid these issues, highlighting fundamental limits in formalizing the concept of truth.