👉 In mathematics and logic, a consistent statement is one that is true for all possible interpretations or choices of variables. A statement is said to be inconsistent if it cannot be proven to be true in any other interpretation. It means that no matter which interpretation you choose, you can always find a contradiction with the original statement. For example, consider the statement "All dogs are mammals." This statement is consistent because all possible interpretations of this statement (e.g., all dogs are animals, some dogs are
