"But I want you to understand that Christ is the head of every man, and the man is the head of a woman, and God is the head of Christ," (1 Cor. 11:3).
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I am the head of my family, but I'm not a dictator -- I just have the last word. I never make any important decision without first discussing it with my wife. It's just like in an airplane: The captain has the final authority, but he must listen to his co-pilot.
Women sometimes are better than men at making decisions, but for the sake of harmony in the family God decided that only one of them should have the final authority: the man.
If you would of have read further on down, he was leading to that they are both equals, none is greater than the other.
11 Nevertheless,
in the Lord woman is not independent of man, nor is man independent of woman. 12 For as woman came from man, so also man is born of woman.
But everything comes from God.
13 Judge for yourselves: Is it proper for a woman to pray to God with her head uncovered? 14 Does not the very nature of things teach you that if a man has long hair, it is a disgrace to him, 15 but that if a woman has long hair, it is her glory? For long hair is given to her as a covering. 16 If anyone wants to be contentious about this, we have no other practice—nor do the churches of God.
And further on...It's says...
33 So then, my brothers and sisters, when you gather to eat,
you should all eat together.
And he is not referring to food, but every words that comes from the mouth of God.
And further on down....
Corinthians 12:25 so that there should be
no division in the body, but that its parts should have equal concern for each other. 26 If one part suffers, every part suffers with it; if one part is honored, every part rejoices with it.
And further on down..
1 Corinthians 14:36 Or did the word of God originate with you? Or are you the only people it has reached? 37 If anyone thinks they are a prophet or
otherwise gifted by the Spirit, let them acknowledge that what I am writing to you is the Lord’s command. 38 But if anyone ignores this, they will themselves be ignored.
Paul's main focus in this letter, that he was trying bring order in the church, that they did not know how to distinguished from right and wrong.
Hebrews 5:14 But solid food is for the mature, who by constant use have trained themselves to
distinguish good from evil.