The way of a fool is right in his own eyes, but a wise man listens to advice. (Proverbs 12:15 ESV)

Do you see a man who is wise in his own eyes? There is more hope for a fool than for him. (Proverbs 26:12 ESV)

If there’s one mistake that comes from binary thinking, it’s the assumption that the opposite of a particular error is the truth; if X is wrong, then anything that is not X must be right. This is the reason people imagine that because communism is bad, capitalism must be good, and because capitalism is bad, socialism must be good, instead of looking at each of these things critically and seeing that all of them have good points and bad points.

Christians are not immune to binary thinking, especially when it comes to the concept of clarity. Some Christians, in response to questions of the truth of Christianity, retreat into artificial clarity, whereby they imagine that absolutely everything that they believe must be definitionally the truth, and never be questioned. For them, the very question is the same as disbelief. 
On the other side of the equation, and often in reaction to the undoubted dogmatism of the above, some Christians seem to think that because we question things, we must never make a claim to truth. For them, to make any unambiguoius claim that something is “correct” is the same as saying that nothing can be doubted. In both cases, they are mistaking personal conviction for truth. In one case, saying that in order to have truth, you must be unambiguously convinced of it, in the other case, saying that in order to have any ability to question things, you must never make a claim to truth.

A moment’s thought undercuts the false dichotomy. My car keys are in a place whether I have forgotten where I put them or not. The acceleration due to gravity is 9.8 m/s/s whether I know that or know it or not, and murder is wrong, even if I were a psychopath.
Even more to the point, the Bible undercuts the false dichotomies of truth rather clearly. In the two proverbs I quote above, the Word of God explains to us that we must separate our own view of ourselves from wisdom itself. Firstly, we are told that it is foolish to assume that are ways are definitionally right and will brook no dissent; we are fools to be merely right in our own eyes. Rather we should listen to advice, and that to fail to do so makes us worse than fools.
But the opposite error is also avoided. The author of these proverbs doesn’t just give us the bumper sticker “question everything”, but rather lets us know that there is are “right ways” and “hope”, but that they are not found in a lack of questioning, but in truth. We listen to advice so that our ways might be corrected.
Christians are called to have the humility to both accept that there is knowable truth, and that we are not the ultimate arbiters of that truth. That is to say. I can be an idiot, but that doesn’t mean I *am* on every point, and I can learn.