Part 5 of Explaining Mormon view of Salvation--- The Final Judgment and Glory for Non-Mormons.
God is infinitely just and fair. It would be unfair of God to sentence someone to Hell simply because they never had the opportunity to hear about Christ in this life.
Mormons believe that people who never accepted Christ in this life will have the opportunity to hear about Him after death, but before the Final Judgment (obviously they are spirits during this time). They will have the opportunity to learn, and to accept or reject Him.
Hypothetically, what if this person rejects Christ? They go the third degree of glory I described in post #177.
Hypothetically, what if this person accepts Christ? Fantastic! They have the opportunity to have Christ stand as their advocate on Judgment day, their sins to be washed away, and all the wondrous things that come from being a disciple of Christ. There is one issue though: Christ commanded all men to be baptized, and you cannot baptize a spirit. Is this person just “out of luck”? No, that’s where baptism for the dead comes in.
Baptisms for the dead: you cannot baptize a spirit, these people’s baptisms are performed via proxy, meaning a living person may be baptized in behalf of a deceased person. The spirit of the deceased person may decide whether or not they wish to accept this. If the spirit does not want it, then it does nothing.
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Addressing a few common myths about Mormon baptisms for the dead—
1) No, there is no grave digging up or anything gross like that.
2) No, it is not believe that this “makes the person Mormon” by any stretch of the imagination.
3) No, baptisms for the dead are not added to Mormon church rolls.
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Addressing the “but that’s so rude and presumptuous of you to do that” strain of thought—
Let’s take the hypothetical situation and say that Mormons beliefs are correct (just humor me for a minute here)—these proxy baptisms are a great act of charity and love for the person they are done for, enabling their souls to dwell with highest degree of glory for eternity.
Let’s take the hypothetical situation and say that Mormons beliefs are totally bogus— these rituals do absolutely nothing, and no matter how well meaning, they are a complete waste of time. Hey, at least it keeps Mormons to busy to knock on your door

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Links about baptisms for the dead, including references--
Super short and basic:
https://www.mormon.org/faq/topic/baptism/question/baptism-for-the-dead
Longer with references:
https://www.lds.org/topics/baptisms-for-the-dead?lang=eng
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Now, onto talking about non-Mormon Christians—
You’ve accepted Christ as your savior and do your best to walk in His ways? That’s absolutely great! Just off that alone, you’re likely to be at least in the second degree of glory I listed earlier (post #177). You get to live on for eternity, hanging out with Christ, single, and blissfully happy.
Is there a chance of such a person being able reach the first degree of glory listed (post 177)? Yes, everyone gets the chance. These people will also have the opportunity to hear Christ’s Full Gospel (which Mormons believe we have) , and add that truth to the truth they already have. They too will also have the opportunity to accept a proxy baptism done on their behalf, and to dwell with all of God in the highest glory.
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Ok, I think that tentatively covers things. Any questions?