Blundering on typically refers to acting without much thought or consideration, often resulting in mistakes or errors. Antonyms for the phrase could include being cautious, calculated, deliberate, thoughtful, or intentional. Rather than blundering on, one could take their time, plan their actions, or carefully consider their next move. Antonyms for blundering on could also include being methodical, precise, mindful, or meticulous. By avoiding the reckless and haphazard approach of blundering on, individuals can make better decisions, avoid costly mistakes, and achieve greater success in their endeavors.