The phrase "pays no attention" refers to someone who ignores or disregards something completely. Synonyms for this phrase might include "ignores," "disregards," "overlooks," "discounts," "neglects," "omits," "fails to notice," "dismisses," and "shrugs off." These terms indicate a lack of interest or concern, and can apply to a variety of situations. For example, someone might "disregard" a warning sign or "ignore" a person's feelings. The use of synonyms can help to add variety and nuance to writing, conveying a more precise or nuanced meaning depending on the context in which they are used.