Which term describes something that cannot be proven wrong?

The term that describes something that cannot be proven wrong is "infallible." This word specifically refers to being incapable of making mistakes or being wrong, which aligns with the idea of an assertion or belief that is unassailable or beyond dispute. In various contexts, "infallible" is often used to describe doctrines, theories, or beliefs that are considered universally valid and incontrovertible, meaning they stand up to scrutiny without failing.

The other options do not fit this definition. "Methodical" refers to an orderly, systematic approach to tasks, which does not imply correctness or truthfulness. "Integrity" relates to the quality of being honest and having strong moral principles, which is unrelated to the concept of provability. "Mobility" pertains to the ability to move or be moved freely, focusing on physical movement rather than the validity of claims or beliefs. Thus, "infallible" is the term that correctly captures the essence of something that cannot be proven wrong.