Ok, so with Christine again giving so much great information, I hope that I just don't mess everything up with my explanation.
This took me awhile to answer you since I have not really thought about this question, since I have never been asked myself nor has it ever been an issue for me since we don't practice it. Not only that but to put a bit of humor in it (you know how I am Carrie), my wife can barley keep me inline, why in the world would she want to keep another one in line at the same time
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Well anyhow here is my explanation of it (with lots of studying and searching both on the internet and in praying):
Marriage in The Church of Jesus Christ of Latter-day Saints is sacred and ordained of God. The family is the basic social unit in this life and in the next. The social, emotional, and spiritual health of all family members was (in the 19th century) and is today the primary concern of every Latter-day Saint mother and father.
Polygamy or as you have correctly stated Carrie- polygyny, is the marriage of more than one woman to the same man. It was an important part of the teachings of The Church of Jesus Christ of Latter-day Saints (Mormons) for a half-century.
Joseph Smith (Church Founder) in 1831, made a prayerful inquiry about the ancient Old Testament practice of plural marriage. (See Genesis 16:1-3; 29:23–30; 30:4, 9; Judges 8:30; 1 Samuel 1:1–2). This resulted in the divine instruction to re-institute the practice as a religious principle.
After God revealed the doctrine of plural marriage to Joseph Smith in 1831 and commanded him to live it, the Prophet, over a period of years, cautiously taught the doctrine to some close associates. Eventually, he and a small number of Church leaders entered into plural marriages in the early years of the Church.
Those who did practice plural marriage at that time, both male and female, experienced a significant trial of their faith. The practice was so foreign to them that they needed and received personal inspiration from God to help them obey the commandment. More Latter-day Saints entered into plural marriages when the Saints moved west under the direction of Brigham Young.
Beginning in 1862, influenced by rumors and exaggerated reports, the United States Congress, enacted a series of laws against polygamy that became increasingly harsh. By the 1880s many Latter-day Saint men were imprisoned or went into hiding.
In 1889 Wilford Woodruff, President of the Church at the time, in the face of increasing hardships and the threat of government confiscation of Church property, including temples, prayed for guidance.
He was inspired to issue a document called the Manifesto that officially ended the sanction of plural marriage by the Church. The The Manifesto, was accepted by Church members in a general conference held in October 1890 and is published in the Doctrine and Covenants as Offical Declaration 1.
Now you have to understand Carrie, that just as the practice of plural marriage among the Latter-day Saints began gradually, the ending of the practice after was also gradual. Some plural marriages were performed after the Manifesto, particularly in Mexico and Canada but in 1904, President Joseph F. Smith called for a vote from the Church membership that all post-Manifesto plural marriages be prohibited worldwide.
As for the FLDS (Fundamentalist Mormons), they as others have stated before me are in no way affiliated with The Church of Jesus Christ of Latter-Day Saints. The reasoning behind why they still practice this is of their own choice and unfortunately going against what we believe to be wrong, but also against the law. With the misunderstanding that "Mormon" — widely understood to be a nickname for Latter-day Saints — is sometimes misleadingly applied to them.
More recently, President Gordon B. Hinckley (1910-2008) reiterated that plural marriage is “against the law of God. Even in countries where civil or religious law allows [the practice of a man having more than one wife], the Church teaches that marriage must be monogamous and does not accept into its membership those practicing plural marriage”
Here is a direct quote from President Hinckley: (General Conference October 1998)
“I wish to state categorically that this Church has nothing whatever to do with those practicing polygamy. They are not members of this Church. Most of them have never been members. They are in violation of the civil law. They know they are in violation of the law. They are subject to its penalties. The Church, of course, has no jurisdiction whatever in this matter.
"If any of our members are found to be practicing plural marriage, they are excommunicated, the most serious penalty the Church can impose. Not only are those so involved in direct violation of the civil law, they are in violation of the law of this Church. An article of our faith is binding upon us. It states, 'We believe in being subject to kings, presidents, rulers, and magistrates, in obeying, honoring, and sustaining the law' (Articles of Faith 1:12).”
The reason why he needed to bring this up is to let the people of the world know that what they have been hearing about The Church of Jesus Christ of Latter-Day Saints, or to how he put it, what others are saying about us, is false and incorrect.
Carrie, I know that was a lot to read and take in, but the simple was to find out if the things that you are reading are true, is to pray to Heavenly Father and He will answer you for those things that you desire to know.
You are always welcome to attend any of church buildings, where you are always welcome and join us and see what The Church of Jesus Christ of Latter-Day Saints can truly offer you. You can read,listen,watch news or rely on what others may say about the Church, but to know, really know, you have to come and see for yourself.
If you have any other questions, please let us know. We are happy that you are come here and have a desire and confidence to ask these questions.
Thanks
GeoRioux