The phrase "bat around" typically means to discuss or consider an idea from different angles or perspectives. The antonyms for this phrase would be words like "ignore," "dismiss," or "brush off," which suggest a lack of interest or attention towards a topic. Other antonyms could include "focus," "narrow down," or "pinpoint," which imply a more structured or deliberate approach to problem-solving or decision-making. In contrast to "batting around" ideas, these antonyms suggest a greater sense of purpose and direction in one's thinking, and a greater likelihood of taking concrete action based on those thoughts.