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Well, there were the Shakers, who didn't believe in procreation, but they've pretty much all dwindled out by now. Not much of a surprise there.
Whether or not it contradicts the Bible or not to restrict procreation is a matter of interpretation for that particular denomination. The Shakers didn't seem to think it did, but the Catholics would disagree.
That being said, I'd probably argue that the majority of Christendom lies somewhere in the middle of those two extremes. I go to a Southern Baptist church, and there doesn't seem to be any stigma related to basic birth control methods, vasectomies, hysterectomies, etc.
All of those groups would probably consider themselves more or less orthodox (with a lowercase o).
Upvote:1
Genesis 9:1 (ASV)
And God blessed Noah and his sons, and said unto them, Be fruitful, and multiply, and replenish the earth.
Several translations put this other "fruitful" command translate the other verb as "replenish" or "fill". I'd take this as "be fruitful so that you can replenish and fill the earth." I do not think it is saying, "always have tons of kids no matter what."