Model Theory

Model theory is a branch of mathematical logic that examines the relationship between formal languages (like mathematical formulas) and their interpretations, or "models". Picture a Lego set: the instructions are like the formal language and the built Lego structure is the model. Just as different pieces can make the same structure, even complex ideas can have different representations, but all correctly match the instructions. Model theory helps us understand these relationships, proving whether statements are logical truth or not, in any possible model.