The term "un-discouraged" means not lacking in motivation or enthusiasm despite setbacks or difficulties. Antonyms for this word would be "discouraged," meaning feeling down or hopeless, as well as "demotivated," meaning lacking the drive to continue pursuing a goal. Other antonyms include "disheartened," "dispirited," and "dejected." All of these words denote a sense of sadness, disappointment, and loss of hope. On the other hand, "motivated," "enthusiastic," and "inspired" would all be synonyms for "un-discouraged." These words convey a positive attitude and a willingness to keep persevering despite obstacles.