1. The problem is to evaluate the empty set notation \( \left\{\;\right\} \), which represents the set with no elements. 2. By definition, an empty set contains no members; it is unique and often denoted by \( \emptyset \) or \( \{\} \). 3. There are no calculations or further steps since the empty set is a fundamental concept in set theory representing "nothing" or "no elements." 4. Therefore, \( \left\{\;\right\} = \emptyset \). Answer: \( \emptyset \) (the empty set).