When someone takes no notice of something, it means they ignore or discount it completely. Synonyms for this phrase include disregards, overlooks, neglects, dismisses, brushes off, and pays no attention to. Another option is to say that someone is indifferent to something, meaning they show no concern or interest in it. Similar phrases to "takes no notice" include "doesn't bat an eye," "turns a blind eye," and "tunes out." Whether it's intentional or not, ignoring something can have consequences, so it's important to be aware of the impact of one's actions and words.