👉 Declarative math, also known as first-order logic, is a branch of mathematical logic that focuses on expressing and reasoning about statements that can be true or false, rather than describing processes or actions. It involves variables, predicates (functions that map elements to truth values), constants, functions, and quantifiers like "for all" (∀) and "there exists" (∃). Declarative math provides a formal framework to define and analyze mathematical structures, enabling rigorous proofs and logical deductions. It differs from other logics, like propositional logic, by incorporating variables and quantifiers, allowing for the expression of more complex and general statements about mathematical objects and their relationships. This makes it a powerful tool for formalizing mathematical theories, such as set theory, number theory, and algebra, ensuring clarity and precision in mathematical reasoning.
