Mistake vs Error

While these two terms are often used interchangeably, there are situations in which one sounds awkward while the other sounds natural. There is, in fact, a slight different in meaning that is often irrelevant. Simply put, a mistake is something that someone does on accident, but would correct as soon as it's noticed, while an error is something that someone does unawares, and does not even know to be wrong. For example, I can arrive at a wrong answer by mistakenly adding 3 and 4 somewhere in the equation when I was supposed to multiply them. I can't think of an example of an error in logic, but you probably get the idea.