The ways in which each of you thinks can provoke irritation in the other. Your partner is more intellectually daring than you, more comfortable with abstract or unorthodox ideas, with taking leaps of faith and changing their mind as many times as is needed -- which could come across as annoying or even threatening to you. You prefer to take more standard paths toward solving problems and don't want to change your mind once a decision is made.
But that more traditional point of view feels limiting to your partner. They operate on a more intuitive level than you do, while you rely more on logic -- and you each wonder why the other isn't more like you. When arguments erupt, you each take your standard position and it's hard to find a resolution. Worse yet, your partner, with their more creative point of view, could end up treating you as if you're stodgy and unimaginative, which is both inaccurate and hurtful. Working together could be really difficult because of these differences between you, especially for you, who may find this person's erratic energy to be too much to handle. You have to respect one another's point of view if you want to make this work; otherwise, you'll just end up making each other feel uneasy and unappreciated.