Metamathematics is the study of mathematics itself using mathematical methods. It explores the foundations, structures, and implications of mathematical theories. By analyzing the properties of mathematical systems, metamathematics helps clarify concepts such as consistency, completeness, and decidability. One of the key figures in metamathematics is Kurt Gödel, known for his incompleteness theorems. These theorems demonstrate that in any sufficiently powerful mathematical system, there are true statements that cannot be proven within that system. Metamathematics thus plays a crucial role in understanding the limits and capabilities of mathematical reasoning.