The term "set on" can be broadly defined as determined or devoted to achieve something. There exist several synonyms to this phrase, each with its own distinct nuance. For example, "fixed on" refers to unwavering commitment towards a specific goal. "Dedicated to" denotes a deep level of devotion to a particular idea or cause. "Committed to" implies a firm resolve to seeing something through, while "resolute about" describes an unwavering determination towards achieving a particular objective. Furthermore, "intent on" expresses a laser-like focus towards a particular task, while "determined to" is a more general term for displaying strong willpower and dedication to achieve anything. In all, the term "set on" has numerous synonyms that all convey clarity and purposefulness.