There are multiple synonyms for the term "wild man," each with its own unique connotations. Some common synonyms include savage, feral, uncivilized, barbarian, and primitive. These words typically describe a person who lives outside of society's norms and laws, often displaying erratic or unpredictable behavior. Other synonyms, such as rustic or rugged, may have a more positive connotation, implying a person who is fiercely independent and self-sufficient. Still, other synonyms like eccentric or bizarre suggest a person who is unconventional or odd in their behavior. Ultimately, the choice of synonym depends on the context and the specific qualities being emphasized.