Belief and Action. How is that not faith and works?
You need to complete the analogy according to the purpose for which I made it. Yes, it is faith and works, but the purpose of the analogy is that it shows that works
proceed from faith/belief.
Using your analogy, what good is a medicine that you believe will work if you don't take it?
This is where you seem to be confused (as well as the whole modern semi-Pelagian model, in my experience). By the nature of what you ask, you seem to believe that belief and action are not only
distinct entities, but
separable entities. This is simply not the case; it goes against experience and reason. Belief and action are
distinct (i.e., they are not the same thing), but they are at the same time
inseparable. A person who believes something will act on it—every time. Otherwise, they don't really believe it. To follow the analogy I gave, a person who truly believed that a medicine would benefit them would take it. There is no such thing as a person who would say (without deception, that is), "I believe this medicine will help me, but I will not take it." That is an absurdity. Either they believe the medicine will help them and they take it, or they don't believe it and they don't (all else being equal).
It's like the sun and its rays. I cannot say that the suns rays
cause the sun to be lit. On the contrary, it is the fact of the sun being lit that
causes the rays. However, I
can say that the sun's rays
show that it is indeed lit. It is the same way with salvation, faith and works. We are saved by grace,
through faith. The works involved (Eph. 2:10) do not
cause the salvation, because salvation is by faith. However, I can say that works
show that my faith is genuine. That is why James says, "Show me your faith apart from your works, and I will show you my faith by my works" (James 2:18). The issue is not faith vs. works, but true faith vs. false faith. In the end, the issue is still
faith.
Belief produces works; works verify faith. This is the whole argument of James 2:14 ff.