Formal Systems

Formal systems are structured frameworks used to define and manipulate concepts using symbols and rules. Think of them like a set of instructions or a recipe: they include a specific language (symbols) and a series of rules for how to combine these symbols logically. This setup allows for clear reasoning and problem-solving in various fields, such as mathematics, computer science, and logic. By adhering to the rules, one can derive conclusions or prove statements systematically, ensuring consistency and validity in reasoning.