Reply to OP
We know that people go to hell because of sin. God's justice is perfect therefore if He says that the penalty for sin is eternal hell then we can trust that He is judging perfectly. It seems lost people, when trying to understand how God can send someone to hell try to make a connection way to close to how they punish their children for doing wrong. They don't want to harm their children so the intent of the punishment is disciplinary. When God sends a soul to eternal punishment its intent is not correction but outright justice with no parole. Biblically lost people aren't Gods children so He isn't trying to help them in the same sense. Thinking about this punishment:
How would you explain why God sends someone to eternal hell for their sins?
Focus on the extremity of the response by God. So why so extreme?
I'm not a skeptic, my intent in this post is to see how people explain this for evangelistic purposes.
This is simply a reply to the OP, I have not read the thread, so if any of this is redundant, sorry about that.
Lots of times a man-made doctrine creates paradoxes such that the logical consequences of the doctrine make no sense because they conflict with specific passages of scripture. For example, God is just and the justifier of the unjust. But one view of Hades/Gehenna is that baby's that die before "they have done anything good or bad" are "punished forever" because they were conceived in iniquity. This makes no sense and hence provides a barrier to evangelism.
So lets back up and consider what the Bible actually says, rather than try to sell a doctrine that is inconsistent with what the Bible says.
Some folks, trying to solve the problem embrace universal salvation, so after folks are "purified" in the lake of fire, they pop up and go to heaven. Total hogwash in my opinion but you will find people pushing this view.
Then we have others that say the Bible teaches eternal torment, so a baby that dies is tormented for eternity. They say if you do not accept this "truth" you are applying human reasoning to God. In other words, accept this "pig in a poke" view, i.e. a mystery, even though it hinders evangelism.
But between these two man-made doctrines we find what the Bible actually says. First we must come to grips with the meaning of the Greek word that is translated eternal, as in John 3:16. It says we never die, but have "eternal" life. That makes it very clear that a person who does not die lives on and on and forever. Thus "eternal" means eternal. So redefining the meaning of that word does not provide any actual solution to the problem.
Second, we must come to grips with the Greek word translated "punishment" as in eternal punishment. Some claim the word means "torment" but that is incorrect. Its root meaning is "to prune," "restrain" or "confine." Thus to be confined to eternal darkness, i.e. separated from God who is light, could be the meaning of "eternal punishment."
So if we accept this view, then at least one "punishment" in Hades/Gehenna is eternal separation from God. But this does not address the clear teaching that the lost are "punished" (consciously tormented). And the Bible says we are punished for our deeds, i.e. misdeeds.
So if we put these two very different "punishments" (1) eternal separation, and (2) specific torment for our sins, together, we see a third alternative. We are punished justly for our sins, with those who have sinned less having a "more tolerable" situation.
So now lets consider the baby or the feeble minded who never believed and thus were "condemned already." They would not go to heaven because of unbelief. But they would not be consciously tormented because they had done nothing wrong in the eyes of God. Thus they would simply be "annihilated," i.e. they would rest in peace, but still "suffer" the eternal punishment of separation from God.
Well if this view is actually what the Bible teaches, how come so many people claim "eternal torment" is taught in scripture? It is certainly taught for Satan and his cohorts. But do humans receive the exact say "punishment?"
Here we must confront Revelation 14:9-13.
Revelation 14:9-13 seems to indicate human beings that accept the mark of the beast will be tormented day and night forever. But is this what the text really says?
Clearly they will drink of the wine of the wrath of God full strength, and will be tormented in the presence of the Lord and holy angels. And the smoke of their torment goes up forever and ever. But this might only mean the consequences of being in torment and not in Christ lasts forever and ever.
And finally, they will have no rest day and night. Many assume this means they will have no rest from the torment day and night forever and ever, but it is equally as likely the idea is they will not enter the Lord’s rest, because they are not “in Christ.”
In summary, the idea of eternal torment is a possible understanding of scripture, but ultimate destruction and loss of conscious awareness after being "justly punished" for their specific misdeeds, remains a viable alternative view that does not hinder evangelism.