Antonyms for the phrase "addressing oneself to" can vary depending on the context of its use. However, some common antonyms may include ignoring, neglecting, disregarding, overlooking, avoiding, or sidestepping. These words suggest a lack of interest or intentional avoidance of a particular task or subject. For instance, if a person is neglecting to address themselves to a critical issue, they are not giving it the attention it deserves. In contrast, if they are sidestepping a topic, they may be trying to evade discussing it. Ultimately, the opposite of addressing oneself to is to avoid or disregard, showing a disinterest in engaging with the subject matter.