May the Mennonites forgive me. And the Pierces. And Becca in an odd month. I am to be found in 1 Corinthians 11:1-16: the head-covering passage. And, to paraphrase Lewis, if your mind is shut, let at least your Bible be open.
The typical reading of this passage is that "a woman's hair is her covering; let's move on." And to an extent that's all good and true; verse fifteen is anything but ambiguous: a woman's hair is her glory and covering. But, should you have the misfortune to read the entire passage with one of your eyes only halfway closed, you'll come across a problem that cannot be satisfied without extremely... well, "flexible" exegesis. That problem is verse six: if a woman is uncovered, then let her also be shorn.
If the only covering in the passage is hair, we're in trouble. For Paul would be saying, "If a woman has no hair, then let her hair also be cut off." No, there have to be two heads spoken of. And the only other "head" for a woman in this passage is man.
So here's my thesis: verses 1-5a are speaking of the heads that verse three mentions: God the head of Christ, Christ the head of man, man the head of woman. After that, hair is introduced and the types of "heads" alternate, but not before. This would mean that verse six could be interpreted as "If a woman is not under authority..." This also makes it clear as to why men ought not to be covered: the authority over a man ought to be Christ, not the woman. And if a woman is acting like a man then she might as well look like one, and all hail Marine haircuts. But if looking like a man is shameful for a woman, then let her act in a feminine manner: let her be covered.
So the fundamental principle of the passage? Men are to act like men. We ought to take responsibility. Women are to act like women. They ought to submit to man as Christ submitted to God.
But this has further ramifications. Christ's submission to God was in spite of His equality with God, and a woman's submission to her husband is in spite of her equality, which she ought not to consider something to be grasped at. The passage goes on to say that neither woman nor man is independent of the other. So—and be careful here—a woman's relationship with her husband ought to be similar to that of Christ's relationship to God: a wife ought to be able to say a good half of John 15 without batting an eyelash.
And of course, if her hair happens to hit the small of her back or at least go "poof" in a light drizzle, all the better.