👉 In mathematics, a formalism is an abstract system that allows one to express and manipulate mathematical expressions in such a way that they are easier or more efficient to evaluate. It is often used when working with complex algebraic structures like groups, rings, fields, etc., which require the ability to reason about their properties and structure. Formisms can be thought of as a kind of abstract language that allows mathematicians to express mathematical concepts in an explicit and precise manner without needing to rely on concrete examples or