James 2 contains a few interesting thoughts. Probably the first is the question of faith and works, but that's not really what this post is about.
Look specifically at v.18. After James rebukes those who claim "faith" but lack the natural fruit of works, he poses a possible objection, "But someone will say, 'You have faith and I have works.' " After posing the objection, it doesn't seem like James answers it!
14 What good is it, my brothers, if someone says he has faith but does not have works? Can that faith save him? 15 If a brother or sister is poorly clothed and lacking in daily food, 16 and one of you says to them, “Go in peace, be warmed and filled,” without giving them the things needed for the body, what good  is that? 17 So also faith by itself, if it does not have works, is dead.18 But someone will say, “You have faith and I have works.” Show me your faith apart from your works, and I will show you my faith by my works. 19 You believe that God is one; you do well. Even the demons believe—and shudder! 20 Do you want to be shown, you foolish person, that faith apart from works is useless?
Yeah, I really don't quite understand how James answers the objection. If anything, it seems like he is answering an objection that says, "I have faith and you have works," by rebuking the objector and saying, "prove it!" But as it stands (and the greek is emphatic, YOU have faith and I have works) this verse doesn't quite make sense to me.
One possibility is that the quotations actually extend further, but that doesn't actually help because there's no place where they could end for James' response to begin.
Let me put it another way, but actually imagining the conversation and highlighting where I don't understand:
James - What good is it if someone claims to have faith but actually does not have works? It's like a person who says to a homeless person, "go and be warm and fed" but doesn't actually do anything for that guy. Faith without works is dead.
Objector - But you have faith, and I have works.
James - Well then, show me your faith apart from your works, and I'll show you my faith by my works.
Objector - But I never claimed to have faith...I have works. I said that you have faith....
James - ...
::shrug:: I just don't understand. It's not a contradiction in Scripture, it's a contradiction in me.