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I'll take this moment to share that I do believe that Joseph Smith did have a vision, just as he said he did. I believe that God the Father, and our elder brother, Jesus Christ appeared to him. Just before, Joseph had been confused about which church to join, and was reading in the scriptures (James 1:5) and knew he should ask God for help with the matter. What happened next is a miracle, indeed.
More about the history and organization of The Church of Jesus Christ of Latter-day Saints can be found at this link: http://www.lds.org/church/organization/the-church-of-jesus-christ?lang=eng