The phrase "on wise" can be used to mean "in a wise manner" or "with wisdom". Synonyms for "on wise" can include phrases such as "with prudence", "with good judgment", "with insight", "in a sage manner", "with sagacity", "with discretion", "with circumspection", "with astuteness", "with perspicacity", and "with intelligence". These synonyms all suggest a level of careful consideration and thoughtfulness in decision-making or action-taking. "On wise" is a useful phrase to describe someone who approaches situations with wisdom and thoughtfulness, and these synonymous phrases can help to convey that meaning.