👉 In mathematics and logic, a "un-hardihood" is a concept that refers to a set of propositions (or statements) that are true for all elements in some universe (like a theory or a mathematical system), but not provable from any other propositions. For example, a unhardihood can be defined as a set of propositions that are both true and false at the same time. For instance, if we have a set of propositions like "All dogs are mammals," then this
