MTTP (Mathematical Theory of Types and Proofs)

The Mathematical Theory of Types and Proofs (MTTP) is a framework in logic and mathematics that organizes how we reason about different kinds of objects and statements. It categorizes entities into types to prevent paradoxes and confusion, ensuring proofs are valid. Think of it as a structured system that guides how arguments are constructed, verifying that each step makes sense within its category. This approach underpins the foundations of formal logic and helps develop reliable computer systems and mathematical proofs, ensuring consistency and clarity in rigorous reasoning.