You two have completely different ways of thinking about things and won't often see eye-to-eye. You prefer to be more logical, using your mind as the precision tool that it is to seek out logical inconsistencies. You arrive at your conclusions after a lot of consideration.
But that thoughtful approach will seem limited or even dull to your friend, who is a lot more comfortable with suppositions and leaps of faith. Neither approach is inherently more correct or reliable than the other, but you'll both spend time trying to prove that your point of view is, in fact, the more valid one. Your friend might make fun of you for being a stick-in-the-mud, just because you like to think things through in a logical way -- which is wrong and will definitely annoy you. But it will also annoy them when you treat them as being out-there, unstable and even crazy! Some respect and acceptance will be necessary to smooth over this difficult influence.